A square on a coordinate plane has the points A(0, 0), B(0, 5), C(5, 5) and D(5, 0). If Square ABCD is rotated about the origin 180 degrees clockwise to form Square A'B'C'D', what would be the length of one of the sides? A. 0 units B. 5 units C. 10 units D. 20 units

Answers

Answer 1

Answer:

B. 5 units

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.

If a point X(x,y) is rotated about the origin 180 degrees clockwise the new point is at X'(-x, -y).

If the square with vertices at A(0, 0), B(0, 5), C(5, 5) and D(5, 0) is rotated about the origin 180 degrees clockwise the new points are at A'(0, 0), B'(0, -5), C'(-5, -5), D'(-5, 0)

A square has four equal sides. The distance between two points [tex]X(x_1,y_1)\ and\ Y(x_2,y_2)[/tex] is:

[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Hence:

[tex]|A'B'|=\sqrt{(0-0)^2+(-5-0)^2} =5[/tex]


Related Questions

Write the equation of the line that passes through the given points. (0,-5) and (8,0)​

Answers

Answer:

[tex]y=\frac{5}{8}x-5[/tex]

Step-by-step explanation:

You're given two points, using that you can use the slope-finding formula:

[tex]slope=\frac{(y^{2} - y^{1}) }{(x^{2} - x^{1})}[/tex]

After that, match up the y-coordinates with each other and the same goes for the x-coordinates. It should look something like this:

[tex]slope = \frac{(0-(-5))}{(8-0)} \\\\=\frac{5}{8}[/tex]

5/8 is your slope. Using the general slope formula y=mx + b, you know that m is the slope and b is the y-intercept. So now you know your slope, plug it into the formula, along with one of the given points. In this case, I will be using (8, 0) because it is easier to solve.

[tex]m = \frac{5}{8}\\ \\y = (\frac{5}{8} )x+b\\(8, 0)\\(0) = \frac{5}{8}(8) + b\\ 0 = 5 + b\\\\-5 =b\\ \\y=\frac{5}{8}x-5[/tex]

You can see I replaced the x and y with the given values accordingly. Then you simplify by subtracting the five on both sides and your y-intercept is -5. Then combine your slope and y-intercept to get your answer!

Hope that helped!

-Bob Ross

If f(x) = 7x + 9, what is the value of f(2)?​

Answers

Answer: f ^− 1 ( x ) = x /7+ 9/ 7

Step-by-step explanation:

Replace  f ( x )  with  y .

y = 7 x− 9

Interchange the variables.

x = 7 y − 9

solve for y

y = x/ 7 + 9 /7

Solve for  y  and replace with  f ^− 1 ( x ) .

f ^− 1 ( x ) = x /7+ 9/ 7

Which graph below has an x-intercept of (6, 0) and a y-intercept of (0, 4)

Answers

All you have to do is plot the points on the graph and then draw a line for the points to meet each other.

Mr. Lowell has one of the most impressive antique toy collections in the United States, and he plans to distribute all 34,083 toys in his collection evenly to 21 different museums. How many toys will each museum get?

Answers

You have to divide 34,083 by 21 which gives you 1,623. So each museum will get 1,623 toys each.

4x10^-6 + 6.8x10^7=

Answers

I typed it in a calculator and got 68,000,000, so just correct me if im wrong.

Solve for r given the points ( 12 , 10 ) and (-2, r) and the slope, m = -4.

Answers

Answer:

r = 66

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 4

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (12, 10) and (x₂, y₂ ) = (- 2, r)

m = [tex]\frac{r-10}{-2-12}[/tex] = [tex]\frac{r-10}{-14}[/tex] , then

[tex]\frac{r-10}{-14}[/tex] = - 4 ( multiply both sides by - 14 )

r - 10 = 56 ( add 10 to both sides )

r = 66

-15b - 20
factorise fully
!!!​

Answers

Answer:

-5 (3b+4)

Step-by-step explanation:

-15b - 20

-5 (3b+4)

please help im really confused with this question <3

Answers

Answer:

anyways kikiwaka nana

Step-by-step explanation:

zu zu zu fheibgerghberg

rejgnerkgnerjgeik

First you have to evaluate the expression for function 1. Then you have to find the slope of the points.
Slope Steps:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

find the value of each variable 4y 3x 8 12​

Answers

Answer:

4x812y3

Step-by-step explanation:

If you know that the product (x) of two powers is 15^13 and the quotient (÷) of the same two powers is 5, what could the two powers be? How could you verify your answer?​

Answers

Answer:

if u get it pls tell me

Step-by-step explanation:



Find the Error A large box of spaghetti noodles contains 3 pounds and costs $2.40. A student said the unit cost is $1.20 per pound. Complete
the statement to explain why the student was incorrect and find the correct answer.
The student found the unit cost for 2 pounds of noodles, not 3 pounds. To find the unit cost for 3 pounds, divide the total cost, $ _______
by the number of pounds, _______
So, the cost per pound is $ _______

Answers

Answer: A) $2.40 B) 3 C) $0.80

A, B, and C are in order of the blanks.

Answer:

The student found the unit cost for 2 pounds of noodles, not 3 pounds. To find the unit cost for 3 pounds, divide the total cost, $2.40

by the number of pounds, 3 lbs

So, the cost per pound is $0.80

Step-by-step explanation:

2.40 divided by 3 is $0.80

I hope this helped, please mark Brainliest, thank you!

The average number of daylight hours, y, in a month for a particular city over the course of a 12-month year can be determined using the equation y = 2.375sin((StartFraction pi Over 6 EndFraction x minus StartFraction pi Over 2 EndFraction))+12.125, where x = 0 represents December, x = 1 represents January, etc.

Answers

Answer: 1,2, 5

Step-by-step explanation:

The amount of daylight fluctuates between 4.5 between least to greatest, and the graph required 3 months of horizontal shift compared to the parent function y = sin x, and the greatest number of sunlight can be 14.5 hours, so options A, B, and E are correct.

What is average?

The middle number, which is obtained by dividing the sum of all the numbers by the variety of numbers, is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.

Given:

The average number of daylight hours, y, in a month for a particular city over the course of a 12-month year can be determined using the equation

y = 2.375 sin [(π / 6)x - π / 2]+ 12.125,

Calculate the greatest number of daylight as shown below,

y = 2.375 sin[30 - 90] + 12.125

y = 14.5 hours

Hence, the greatest number of sunlight can be 14.5 hours,

To know more about average:

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I really need help hurry

Answers

I can’t see the whole problem

Answer:

the answer is A. {-1, 1, 3}

Step-by-step explanation:

what are the factoris a^7+ab^6

Answers

Answer:

Step-by-step explanation:

a^6(a + b^6)

If f(x) = 2x⁴- 3x² - 2x+5 and g(x)= x³ - 2x - 3, find the sum of polynomials f(x) and g(x) and hence state the order of the sum.

Answers

Answer:

2x⁴ + x³ - 3x² - 4x + 2

4

Step-by-step explanation:

Given functions:

     f(x) = 2x⁴ - 3x² - 2x + 5

     g(x)  = x³ - 2x - 3

Unknown:

Sum of the polynomials = ?

Order of the sum  = ?

Solution:

The sum of the polynomial is expressed as;

    f(x) + g(x) = 2x⁴ - 3x² - 2x + 5 +  x³ - 2x - 3

                   = 2x⁴ + x³ - 3x² - 2x - 2x + 5 -3

                   = 2x⁴ + x³ - 3x² - 4x + 2

The order of the sum is the highest power which 4.

This polynomial is of the 4th order.

A 34-year-old woman has a maximum heart rate of 175 bpm. She plans an exercise program so that her heart rate will be between 80% and 90% of her maximum heart rate for at least 30 minutes a day, 3 days a week. Calculate the desired range of heart beats per minute for this exercise program

Answers

Answer:

The desired range is from 141 bpm to 157 bpm

Step-by-step explanation:

Given that the maximum heart rate = 175 bpm.

She plans an exercise program to reach the desired heart rate which is in the range of 80% and 90% of the maximum heart rate.

So, the lower limit of the desired heart rate = 80% of the maximum heart rate

=\frac{80}{100}\times 175= 140 bpm

and the upper limit of the desired heart rate = 90% of the maximum heart rate

=\frac{90}{100}\times 175= 157.5 bpm

So, mathematically, the desired range is between 140 bpm and 157.5 bpm.

The heart-beats per minute should be a counting number, so, round the upper limit to the lower integral value to be within the range.

Hence, the desired range is from 141 bpm to 157 bpm.

Which of the following is a solution to the Equation 2x^2+4y=3=3x^2
A)-1
B)0
C)3
D)6

Answers

Answer:

3

Step-by-step explanation:

I think 3 is the answer

PLEASE HELP THIS IS DUE IN 6 MinUTES

Answers

Bruh u gotta put the text

what is the relationship between the radius and diameter of a circle?

Answers

The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center.

The relationship between the radius and diameter of a circle is that the diameter is twice the length of the radius.

In other words, the diameter of a circle is equal to 2 times the radius. Mathematically, this relationship can be expressed as:

Diameter (D) = 2 * Radius (r)

This relationship is consistent for all circles. No matter the size of the circle, the diameter will always be exactly twice the length of the radius. The radius is the distance from the center of the circle to any point on the circle's circumference, while the diameter is the distance from one point on the circumference to another, passing through the center. Understanding this relationship is essential in various geometrical calculations and formulas involving circles.

To know more about diameter:

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PLEASE HELP ASAP!!! RUNNING OUT OF TIME!! thank you!

Answers

the second option, on the second attachment

domain: -6<x<-2 or x>-2

range: -3[tex]\leq[/tex]y[tex]\leq[/tex]1 or 4<y<8

This is it if you can’t solve it it’s fine!

Answers

Answer:

is 115

Step-by-step explanation:

i think since 7 checks equal 50, 14 must equal 100. and the other kid already had 15 dollars i think so that makes sense......... i think

You know: 13 + 7 = 20. Therefore: 13 + 7 + 2 = 20 + 2. Which Property of Equality was illustrated?
A. Subtraction Property of Equality
B. Multiplication Property of Equality
C. Division Property of Equality
D. Addition Property of Equality

Answers

Answer:

d

Step-by-step explanation:

Help me please need help

Answers

Answer:

w = 10

Step-by-step explanation:

I did the math and and I got 10

Hope it helps!! :D

Answer:

w = 10?

Step-by-step explanation:

how many snakeman and red crows books were sold altogether

Answers

Hi! Could you please send a picture of the full problem? Thanks!

What is the slope of the line through (2. 8) and (4, 1)?

Answers

Answer:

m = -7/2

Step-by-step explanation:

Jill is building a wooden raised bed garden for her vegetable she wants the frame to have dimension X feet by X +3 feet if she wants the garden to have a maximum area of 50 ft.² what are the possible values of X

Answers

Answer: 0ft < X ≤ 5.73ft

Step-by-step explanation:

In this case, we have a rectangle.

For a rectangle of length L and width W, the area is:

A = L*W.

And we have:

L = X

W = X  + 3ft.

Then the area will be:

A = X*(X + 3ft) = X^2 + 3ft*X.

And we want to have a maximum area of 50ft^2.

Then we can write:

A = X^2 + 3ft*X ≤ 50ft^2

Now let's solve this for X.

Now, the first thing we can see is that both coefficients in our quadratic equation are positive, so as the absolute value of X increases, also does the whole equation.

Then makes sense start for the upper limit of X, this is when:

X^2 + 3ft*X = 50ft^2.

Now we can solve the quadratic equation:

X^2 + 3ft*X - 50ft^2 = 0

Applying the Bhaskara formula, the solutions are:

[tex]X = \frac{-3ft +- \sqrt{(3ft)^2 - 4*1*(-50ft^2)} }{2} = \frac{-3ft +-14.46ft }{2}[/tex]

Then we have two solutions:

X = (-3ft - 14.46ft)/2 = -8.73 ft.

X = (-3ft + 14.46ft)/2 = 5.73 ft

Because X represents a distance, it can only be positive, then we must select the option X = 5.73ft.

This is the maximum value of X, and we will have:

0ft < X ≤ 5.73ft

Where the lower limit is there because we can not have X = 0ft, as this does not have physical meaning.

How much time will it take for a bug to travel 10 meters across the floor it is traveling at
a rate of 2 m/s?

Answers

Answer:

5 seconds

Step-by-step explanation:

First let's use the equation.

D (Distance) = Speed (s) x Time (t)

Now let's find the components given in the problem.

Distance = 10 meters

Speed = 2 m/s

Now let's substitute the values in.

10 = 2t

Now let's solve for t.

10 = 2t

t = [tex]\frac{10}{2}[/tex]

t = 5

Therefore, it will take 5 seconds.

Hope this helped! If not, please let me know! <3

help me out bro
7 (x-3)+3 (4-x)= -8

Answers

Answer:

x = 1/4

Step-by-step explanation:

remove the parenthesis

collec like terms

caculate

move constant to the right

calculate

divide both sides

PLEASEEE HURRY!!! And please show work thank youuu

Answers

30 because big brain maths

write an equation of the parabola in intercept form that passes through (14,4) with x intercepts of 12 and -6​

Answers

Answer:

i need the answer to pleasee... asnwer this question

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