Answer:
Yes, the price is proportionate. Every rose cost 3 dollars.
Step-by-step explanation:
1 rose * 3 dollars = 3
3 rose * 3 dollars = 9
6 rose * 3 dollars = 18
9 rose * 3 dollars = 27
12 rose * 3 dollars = 36
15 rose * 3 dollars = 45
Equation
R*3=P
OR
Number of roses* 3 dollars per rose = Prices (Dollars)
Please help!!!!!!!! #1
Answer:
its d , because your distributing the 5 into what's in the parenthesis .
x = 5y/(z-4y)
make y subject
Answer:
y=2x/5-4x
Step-by-step explanation:
multiply z-4y on both sides,match the Ys together and then make y common
if i fail a class for one semester will i fail6th grade
Answer:
yes you will because you need to pass all subject now if your in home school if you fail one subject you would have to see because not all schools are the same so... yeah but in my opinion if you fail one subject you do fail 6 grade I mean thats what I think I am in 9th grade so I dont remember that much
Step-by-step explanation:
the perimeter of a rectangular pool is 326 M if the length of the pool is 87 M what is its width
Half the perimeter is equal to the length plus the width.
326 /2 = 163
Length + width = 163
87 + width = 163
Width = 163 - 87
Width = 76 meters
Prove that the formulas given in Question 1 (i) and (ii) above have the corresponding properties by means of semantic tableaux. The tableau for part (ii) is quite complex. If you struggle to work it o
Semantic Tableaux are decision-making tools for checking if an argument in a logical language is valid. Semantic tableaux provide an algorithmic method for determining whether a formula in propositional logic is satisfiable (i.e., whether it is possible to find a truth value for each propositional variable that makes the formula true).Explanation:A semantic tableau is a diagram that determines whether a formula is a tautology or not.
The tableau method is an algorithmic technique for determining the validity of a propositional or predicate logic formula. The tableau algorithm produces a tree of sub-formulas of the formula being analyzed, the branches of which represent the possible truth values of the sub-formulas of the formula to be determined.In this process, the formula's truth tables are created with the help of branches. The logical operators contained in the formula's truth tables are negation, conjunction, and disjunction. To test the validity of a formula, the semantic tableau method is a common method.
The decision problem for satisfiability and validity in classical first-order logic is solved using this method.A semantic tableau or a truth tree is a way of visually representing logical proofs to determine the consistency, completeness, or satisfiability of formulas. Semantic tableaux, often known as truth tables, are tree-like data structures that show the possible truth values of the sub-formulas of a formula. The technique starts with the formula to be tested at the root of a tree, and a proof of the formula's validity is constructed by recursively examining the truth values of its sub-formulas.The main advantage of the semantic tableau is its systematic and intuitive character. Semantic tableaux offer a streamlined and intuitive way to show the internal mechanics of logical proofs, providing a foundation for automating the process. For logical proofs, they may be generated automatically by computer algorithms, and their use is becoming increasingly popular in computer science, artificial intelligence, and related fields. Semantic tableaux are a simple yet effective tool for demonstrating the validity of a proposition
The semantic tableau provides a simple and intuitive method for determining the validity of logical formulas. Semantic tableaux are tree-like data structures that show the possible truth values of the sub-formulas of a formula. The technique begins with the formula to be tested at the root of a tree, and a proof of the formula's validity is constructed by recursively examining the truth values of its sub-formulas. Semantics tableaux provide a foundation for automating logical proof generation and are becoming more common in computer science, artificial intelligence, and related fields.
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A bike shop sells rolling strollers for runners with babies, with a total of 28 in the store. Some of the strollers have 3 wheels and some have 4. If there are 100 wheels, how many 3-wheel strollers are there?
Answer:
12
Step-by-step explanation:
let x = number of 3 wheel stollers
let y = number of 4 wheel strollers
x + y = 28
y = 28 - x
3x + 4y = 100
3x + 4(28 - x) = 100
3x + 112 - 4x = 100
-x = -12
x = 12
And there you go, your answer is 12.
Answer:
B
Step-by-step explanation:
12
A STEAM tutoring center offers a robotics class and an app development class to its members. There are 280 members, all of which are registered for at least one class this spring. If 75% of members registered for a robotics class and 50% registered for an app development class, how many members registered for both robotics and app development?
The number of students who registered for both robotics and app development is 70.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Total members = 280
The number of members who registered for the robotics class.
= 75% of 280
= 3/4 x 280
= 3 x 70
= 210
The number of members who registered for the app development class
= 50% of 280
= 1/2 x 280
= 140
We see that,
210 + 140 = 350
But we have 280 members.
So,
The number of students who registered for both robotics and app development.
= 350 - 280
= 70
Thus,
The number of students who registered for both robotics and app development is 70.
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1. Jack pulls a sled across a frozen pond. The force he pulls with is 30 newtons and he does 4500 joules of work to get the sled across the pond. How far does he pull the sled?
Answer:
150m
Step-by-step explanation:
work = force x distance
w=fd
d=w/f
d= 4500/30 = 150
2.(03.07)
Solve 2x^2 - 8x = -7. (2 points)
Answer:
Step-by-step explanation:
Make a quadratic:
2\(x^{2}\)-8x+7=0
Then use quadratic formula to solve.
It would be x= 2 ± \(\frac{2}{\sqrt{2} }\)
Find the area of a circle with a diameter of 16 units.
Exact Area:
Approx Area (use 3.14 for pi):
Approx Area (use 22/7 for pi):
Answer:
exact: 64π square units3.14 for π: 200.96 square units22/7 for π: 201 1/7 square unitsStep-by-step explanation:
You want the area of a 16-unit circle using different values for pi.
AreaThe formula for the area of a circle is ...
A = πr² . . . . . . where r is half the diameter
For the different values of pi, this will be (in square units) ...
π(8²) = 64π . . . . exact
3.14(8²) = 200.96 . . . . using 3.14 for π, slightly low
22/7(8²) = 201 1/7 . . . . using 22/7 for π, slightly high
<95141404393>
Find the value of a in parallelogram PQRS.
help asap
question in the picture
Answer:
11.5
Step-by-step explanation:
1.50 x 5 + 4
List and explain three different unconformities shown on this
figure. Explain your answer (15 points)
The figure shows three types of unconformities: an angular unconformity (A - A) with tilted and eroded layers, a non-conformity (B- B) between uplifted and underlying rocks, and a paraconformity (C - C ) with a smooth transition between sedimentary layers indicating a potential time gap.
Based on the information provided, the figure shows three different unconformities
(A - A) represents an angular unconformity:
This occurs when horizontally layered rocks (A) are tilted or folded, eroded, and then overlain by younger, undeformed rocks (A). The angular discordance between the older and younger layers indicates a significant period of deformation and erosion.
(B- B) represents a non-conformity:
A non-conformity occurs when igneous or metamorphic rocks (B) are uplifted and eroded, exposing the underlying, usually sedimentary, rocks (B). The boundary between the two types of rocks represents a significant time gap and a change in the geological history of the area.
(C - C) represents a paraconformity:
A paraconformity is a type of unconformity where there is a relatively smooth transition between parallel layers of sedimentary rocks (C - C). Unlike angular unconformities and non-conformities, paraconformities do not show significant tilting, folding, or erosion. The time gap between the two layers may still exist, but it is often difficult to distinguish due to the lack of obvious discontinuities.
In summary, an angular unconformity (A - A) shows significant tilting and erosion, a non-conformity (B - B) indicates an uplift and erosion of older rocks, and a paraconformity (C - C) represents a relatively smooth transition between parallel sedimentary layers with a potential time gap.
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--The given question is incomplete, the complete question is given below " List and explain three different unconformities shown on this
figure. Explain your answer (15 points) "--
A 6-inch pendulum moves according to the equation
θ=0.2cos(8t)
where θ
is the angular displacement from the vertical in radians and t
is time in seconds.
a) Determine the maximum angular displacement.
b) Find the rate of change of θ when the pendulum reaches the maximum angular displacement.
c) Find the rate of change of θ at t=3 seconds.
d) Find the average angular velocity during the first 2 seconds.
a) The maximum angular displacement is θ = 0.2 radians.
b) The rate of change of θ when the pendulum reaches the maximum angular displacement is 0.
c) The rate of change of θ at t=3 seconds is -0.635 radians per second.
d) The average angular velocity during the first 2 seconds is π/16 radians each second.
A 6-inch pendulum's angular displacement is given by θ=0.2cos(8t). Maximum angular displacement, rate of change at max displacement and at t=3s, and average angular velocity in first 2s are calculated.
a) The maximum angular displacement occurs when cos(8t) = 1, which happens at t = 0. The maximum angular displacement is therefore θ = 0.2 radians.
b) The rate of change of θ when the pendulum reaches the maximum angular displacement is 0 since the slope of the function at the maximum point is zero.
c) To find the rate of change of θ at t = 3 seconds, we take the derivative of the function with respect to time:
θ' = -1.6sin(8t)
Plugging in t = 3, we get:
θ'(3) = -1.6sin(24) ≈ -0.635 radians per second.
d) The average angular velocity during the initial 2 seconds is:
(1/2)π/2 - (1/2)π/4/2 = π/16 radians each second.
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add ( 7a+2b+6ab+4ab+3b,-6a+2b+2ab)
pls say as soon as possible plz
Answer:
a+7b+12ab
Step-by-step explanation:
simplify simplify algebraic equation
There is a spinner with 12 equal areas, numbered 1 through 12.. If the spinner is spun once, what is the probability that the result is a multiple of 3 or a multiple of 4
Answer:
\(\dfrac{1}{2}\)
Step-by-step explanation:
Given that, spinner has 12 equal areas, so there are 12 possibilities of occurrences i.e. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
Multiples of 3 are: {3, 6, 9, 12}
Multiples of 4 are: {4, 8, 12}
To find the multiple of 3 or 4, we need to find the union of the above two sets.
Multiples of 3 or 4: {3, 4, 6, 8, 9, 12}
Number of multiples of 3 or 4 = 6
Formula for probability of an event E can be observed as:
\(P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}\)
Here, number of favorable cases are 6 and
Total number of cases are 12.
Therefore the required probability is:
\(P(\text{Multiple of 3 or 4}) = \dfrac{6}{12}\\P(\text{Multiple of 3 or 4}) = \bold{\dfrac{1}{2}}\)
Differentiate the given series expansion of f term-by-term to obtain the corresponding series expansion for the derivative of f. 1 If f(x) = Î ( - 1)"4"z" 1+ 4.2 n=0 f'(x) = Preview n=1 License Question 36. Points possible: 1 This is attempt 1 of 1. Differentiate the given series expansion of f term-by-term to obtain the corresponding series expansion for the derivative of f. If f(x) = - - 3n 1 - 23 n=0 f'(x) = Σ Preview n=1 License Question 37. Points possible: 1 This is attempt 1 of 1. Integrate the given series expansion of f term-by-term from zero o x to obtain the corresponding series expansion for the indefinite integral of f. 00 If f(x) = - 8x7 (1 +28)2 Ż ( - 1)"8n.q8n – 1 n=0 Ś f(t)dt = { Preview n=1 License Question 38. Points possible: 1 This is attempt 1 of 1. Use term-by-term differentiation or integration to find a power series centered at x = 0 for: f(x) = ln(1 + x) = Σ Preview n=0
a. all solutions contain (0,0), we note that when x = 0, y = 0 + C(0) = 0 for any value of C. b. the particular solution is y = x + x = 2x. c. There are no horizontal asymptotes because y approaches infinity as x approaches infinity and negative infinity as x approaches negative infinity.
(a) To verify that y = x + Cx, x = -C and C = 0 is a general solution, we substitute y = x + Cx into the differential equation:
dxdy = x*(x + Cx) - (x + Cx)^2 = x^2 - C^2x^2
The right-hand side simplifies to (1 - C^2)x^2, which is a function of x only. Therefore, y = x + Cx is a solution for any value of C, including C = 0.
To show that all solutions contain (0,0), we note that when x = 0, y = 0 + C(0) = 0 for any value of C.
(b) To find the particular solution that passes through (1,2), we plug in x = 1 and y = 2 into the general solution:
y = x + Cx
2 = 1 + C*1
C = 1
So the particular solution is y = x + x = 2x.
To find dxdy at (0,0), we take the derivative of y with respect to x:
dxdy = 2
(c) To find the vertical asymptotes, we look for values of x such that the denominator of y' (which is y^2 - x^2) becomes zero. This occurs when y = x or y = -x. Thus, the lines y = x and y = -x are vertical asymptotes.
There are no horizontal asymptotes because y approaches infinity as x approaches infinity and negative infinity as x approaches negative infinity.
(d) The particular solution that passes through (1,2) is a straight line with slope 2, passing through the point (0,0). To sketch both branches of this curve, we extend the line through the origin in both directions.
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Answer below i really really need help with this
Answer: 1/5
Step-by-step explanation:
plot x+ 2y = 6 and 2x + y = 6 on a graph hurry cuz i’m in middle of test i’ll give brainliest please
Answer:
Step-by-step explanation:
Set your x and y axis first, then you’re gonna need to permute the order of the equation, through inverse operations
x+2y=6
Get x on the other side of the equation,
x+2y=6
-x -x
2y=6-x
The rule is to leave y alone, so divide by 2
2y=6-x
/2 /2
y=-1/2x + 3
Now that you know what y equals, plug it the other equation
(Other equation) x+2y=6
2x+ (-1/2x+3)=6
Like terms
1.5x+3=6
Inverse operation
1.5x+3=6
-3 -3
1.5x=3
Isolate the variable
1.5x=3
/1.5 /1.5
x=2
You're not done yet!
Plug it back in to the original equation to unveil the value of y
y=-1/2x+3
Substitute
y=-1/2(2) +3
y= -1 +3
y=2
What does this mean? The lines intersect both at (2,2)
So now you know one of the lines, but you need to discern the slope of the other one in which we first plugged our values in.
2x+y=6
-2x -2x
^
|
Inverse operations
y=-2x+6
Now plot it, that's it!
Pss you don't have to give brainliest, just thank God
for the following 3 questions: a study obtained data on the amount of time 28 randomly selected high school students and 31 randomly selected college students spend on their cell phones each day. the investigator is interested in determining whether there is evidence that the amount of time students spend on their cell phone is different between high school and college Let H= time spent on phone by high school students; C= Time spent on phone by college students; and d=H−C
The data are not paired because: o All of these are true o Each element in a sample is measured once: time spent on cell phone o The conclusion pertains to the difference of two independent population means o There are two samples
The correct answer is
H₀ : μh - μc = 0
H₀ : μh - μc ≠ 0
Given that,
Regarding the subsequent 3 inquiries: A study collected information on how much time 28 randomly chosen high school students and 31 randomly chosen college students spent each day on their cellphones. The researcher is interested in learning whether there is proof that students use their phones for varying amounts of time in high school and college.
Because the samples of college and high school students are independent, the independent samples t-test should be utilized.
The study's research (Claim) aims to ascertain whether students' cell phone usage patterns alter between high school and college.
For the independent samples t-test and the stated claim, the proper null and alternate hypotheses are,
H₀ : μh - μc = 0
H₀ : μh - μc ≠ 0
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The proper null and alternative hypotheses are
\(H_{0}\) : μh = μc
\(H_{A}\) : μh - μc
The study's research wants to ascertain whether difference between the time spent by high school students and college students.
The actual test begins by considering two hypothesis i.e. null hypothesis and alternative hypothesis.
Let, H= time spent on the phone by high school students;
C= Time spent on the phone by college students; and
d=H−C
For the independent samples t-test and the stated claim, the proper null and alternate hypotheses are,
\(H_{0} :\) μh = μc (time spent by high school students is equal to college students)
\(H_{A} :\) μh - μc (difference between the time spent by high school students and college students)
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f(x) = ln(2 + sin(x)), 0 ⤠x ⤠2ð. Find the interval(s) on which f is concave up. (Enter your answer using interval notation.).
The function f(x) = ln(2 + sin(x))) is concave up for the range of x [0,2].
To discover the interval(s) on which f(x) = ln(2 + sin(x)) is concave up, compute the function's second derivative and check its sign.
To begin, compute the first derivative of f(x) with respect to x:
(1 / (2 + sin(x)) = f'(x)cos(x)
The second derivative of f(x) can therefore be found by taking the derivative of f'(x) with regard to x:
f''(x) = -(1/(2 + sin(x))(-sin(x)) cos2(x) + (1/(2 + sin(x))
When we simplify f''(x), we get:
f''(x) = -1/(2 + sin(x))²)sin(x)(sin(x)-2)
To discover the interval(s) where f(x) is concave up, we must first locate the interval(s) where f''(x) is positive. Because sin(x) might vary from -1 to 1, we must solve the inequality:
-(1/(2 + 1))^2(-1)(-1-2)≤f''(x)≤-(1 / (2 - 1))²(1) (1-2)
When we simplify this inequality, we get:
1/9 ≤ f''(x) ≤ -1/4
So, f is never negative at 0 ≤ x ≤ 2, so f is concave up in the range 0 ≤ x ≤ 2.
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Complete question - f(x) = ln(2 + sin(x)), 0 ≤ x ≤ 2 . Find the interval(s) on which f is concave up.
Solve the augmented matrix by elementary row operations. 9. (4 points) Let A and B be 3 by 3 matrices with det (A) = 3 and det (b) = 5. Find the value of det (AB).
The value of determinant of the matrix det (AB) is 15.
Given matrices A and B are 3 by 3 matrices with
det (A) = 3 and
det (b) = 5.
We need to find the value of det (AB).
Writing the given matrices into the augmented matrix form gives [A | I] and [B | I] respectively.
By multiplying A and B, we get AB. Similarly, by multiplying I and I, we get I. We can then write AB into an augmented matrix form as [AB | I].
Therefore, we can solve the augmented matrix [AB | I] by row reducing [A | I] and [B | I] simultaneously using elementary row operations as shown below.

The determinant of AB can be calculated as det(AB) = det(A) × det(B)
= 3 × 5
= 15.
Conclusion: The value of det (AB) is 15.
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We need to find the value of determinant det(AB), using the formula: det(AB) = det(A)det(B)
=> det(AB) = 3 × 5
=> det(AB) = 15.
Hence, the value of det(AB) is 15.
The given matrices are A and B. Here, we need to determine the value of det(AB). To calculate the determinant of the product of two matrices, we can follow this rule:
det(AB) = det(A)det(B).
Given that: det(A) = 3
det(B) = 5
Now, let C = AB be the matrix product. Then,
det(C) = det(AB).
To evaluate det(C), we have to compute C first. We can use the following method to solve the augmented matrix by elementary row operations.
Given matrices A and B are: Matrix A and B:
[A|B] = [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0][A|B]
= [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0].
We can see that the coefficient matrix is an identity matrix. So, we can directly evaluate the determinant of A to be 3.
det(A) = 3.
Therefore, det(AB) = det(A)det(B)
= 3 × 5
= 15.
Conclusion: Therefore, the value of det(AB) is 15.
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On Cupcake Wars, the bakers must fill 1000 cupcakes in the final challenge!
CUPCAKE
WARS
If the cupcakes are cylinder shaped and have a radius of 1.5 in and a height of 3.01 in,
how many cubic inches are need to fill 1000 cupcakes?
Use pi=3.14
Round your answer to the nearest hundredth as needed.
V=
Answer:
21,265.65 in³
Step-by-step explanation:
Formula: Volume (V) = πr²h
V = πr²h
Slotting in values,
V = 3.14 x 1.5² x 3.01
V = 3.14 x 2.25 x 3.01
V = 21.26565 in³
But that is for 1 cupcake
To fill a thousand of them, you will need to multiply your answer by the number of cupcakes in total.
Therefore,
Answer = V x 1000
Answer = 21.26565 x 1000
Answer = 21,265.65 in³
The answer is already rounded to the nearest hundredth,
So they would need 21,265.65 cubic inches (in³) to fill 1000 cupcakes.
Please mark brainliest.
Thanks.
A movie theater sold 6,030 tickets in 30 days. They sold the same number of tickets every night. How many tickets did the movie theater sell?
Answer:
they sold 201 each night
Step-by-step explanation:
6030 ÷ 30 = 201
choose the equation that represents the line p assing through the (2,-5) with a slope of -3
The domain of the relation is {7, -3, 1, 4}, and the range is {5, -5, -1, -6}. The relation is a function because each input (x-value) is associated with a unique output (y-value)
To determine the domain of the relation, we look at the set of all x-values in the ordered pairs. In this case, the x-values are {7, -3, 1, 4}, so the domain is {7, -3, 1, 4}.
To determine the range of the relation, we look at the set of all y-values in the ordered pairs. In this case, the y-values are {5, -5, -1, -6}, so the range is {5, -5, -1, -6}.
The relation is a function because each input (x-value) from the domain is associated with exactly one output (y-value) from the range. There are no repeated x-values with different y-values in this relation, which satisfies the definition of a function.
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What are the measures of angles M and N?
mM = 61° and mN = 113
mM = 67 and mN= 119
mM = 113 and mN = 61
mM = 119 and mN = 67
Answer:
mM = 113 and mN = 61
Step-by-step explanation:
In a Cyclic quadrilateral, the rule states that:
The sum opposite interior angles is equal to 180°
In the above diagram, we have cyclic quadrilateral KLMN
According to the rule stated above:
Angle K is Opposite to Angle M
So, Angle K + Angle M = 180°
Angle K = 67°
67° + Angle M = 180°
Angle M = 180° - 67°
Angle M = 113°
Angle L is Opposite to Angle N
so Angle L + Angle N = 180°
Angle L is given as = 119°
119° + Angle N = 180°
Angle N = 180° - 119°
Angle N = 61°
Therefore, Angle M = 113° and Angle N = 61°
For her phone service , Rania pays a monthly fee of $ 18 , and an additional $0.06 per minute of use. The least she has been charged in a month is $88.56
Answer:
I'm assuming we need to find the number of minute she as used. to do that we can right an inequality with m being the number of minutes
18+0.06m≥88.56
we then just solve this like we would with any other algebra equation, First we subtract 18 from both sides.
0.06m≥70.56
Then we dives by 0.06
m≥1176
Rania has used at least 1176 minutes
prove that
√3/sin2θ - 1/cos2θ = 4
To prove the equation (√3/sin2θ) - (1/cos2θ) = 4, we can start by manipulating the left-hand side of the equation using trigonometric identities.
We know that sin(2θ) = 2sinθcosθ and cos(2θ) = cos²θ - sin²θ.Substituting these identities into the left-hand side of the equation, we have:
(√3/(2sinθcosθ)) - (1/(cos²θ - sin²θ))
Next, we can simplify the right-hand side of the equation by using the Pythagorean identity, sin²θ + cos²θ = 1:
(√3/(2sinθcosθ)) - (1/(cos²θ - (1 - cos²θ)))
(√3/(2sinθcosθ)) - (1/(2cos²θ - 1))
To continue simplifying, we can multiply the second fraction by (2cos²θ + 1)/(2cos²θ + 1):
(√3/(2sinθcosθ)) - ((2cos²θ + 1)/(2cos²θ - 1)(2cos²θ + 1))
(√3/(2sinθcosθ)) - (2cos²θ + 1)/(4cos⁴θ - 1)
Now, we can combine the fractions with a common denominator:
(√3 - 2cos²θ - 1)/(4cos⁴θ - 1)
To proceed further, we need additional information or a specific value for θ. Without more context, we cannot simplify or prove the equation (√3/sin2θ) - (1/cos2θ) = 4.
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Please help with this question
Answer: The answer is 25 then if it asks for the equation it is A=1/2bh
Step-by-step explanation:
The b or base is 10
The height or h is 5
A=1/2bh
A=1/2(10)(5)
A=1/2(50)
A=25
I hope this helps :)
Answer:
25m^2
Step-by-step explanation:
the formula for finding the area of a triangle is b*h/2. So 10 times 5 equals 50. When you divide 50 by 2 you get 25. 25m^2 Is the answer.
How far apart are the points (0,-1) and (6,5)?
Answer:
(6, 6)
Step-by-step explanation:
Answer:
The distance is 8.4853
Step-by-step explanation:
Input Data :
Point 1 (xA, yA) = (0, -1)
Point 2 (xB, yB) = (6, 5)
Objective :
Find the distance between two given points on a line?
Formula :
Distance between two points = √(xB − xA) ^ 2 + (yB − yA) ^ 2
Solution :
Distance between two points = √ (6 − 0)^2 + (5− −1) ^ 2
= √6^2 + 6^2
= √36 + 36
= √72
= 8.4853
Distance between points (0, -1) and (6, 5) is 8.4853
hope this helps and is right :)