The following statement tells one way to map preimage points to image points when performing a transformation in the coordinate plane. (x, y) → (x + 8, y − 3) This can be read, “The point with coordinates (x, y) is mapped to the point with coordinates (x, y) → (x + 8, y − 3).” With this transformaƟon, for example, (3, 5) is mapped to (3 + 8, 5 – 3) or (11, 2). The figure below shows how the triangle ABC is mapped to A′B′C′. Notice that the pre‐image and image appear to be congruent. Directions: Answer the following questions, showing all pertinent work. Paul has a 40 ft. by 30 ft. pole barn on his farm that he wants to move. The southeast corner of the pole barn is currently located 50 ft. west and 25 ft. north of the stock tank where the cows get their water. Paul wants to move the pole barn so the southeast corner of the barn is located 80 feet east and 80 feet south of the stock tank. 1. Complete the transformation statement for moving Paul’s pole barn. (x, y)→(x + _______ , y + _______ )

Answer:

if they are same exact thing but mirrored, then just mirror it the way it needs to.

Example

-1 in the second by -3.4, 3.4 by  1

Answer:

The measure of the angle is 120 degrees

Step-by-step explanation:

Here, we want to find the measure of the angle

Mathematically, the sum of angles at a point ( the center of the circle in this case) is equal to 360 degrees

We have the measures 150 degrees and 90 degrees; by adding this two and subtracting from 360, we will have the measure of the the marked angle

Thus, we have this as;

360 - (150 + 90)

= 360-240

= 120

Answer:

[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{3}{2x^{\frac{3}{2} } }[/tex]

Step-by-step explanation:

Differentiate using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

Given

y = [tex]\frac{3}{\sqrt{x} }[/tex] = 3[tex]x^{-\frac{1}{2} }[/tex] , then

[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{3}{2}[/tex] [tex]x^{-\frac{3}{2} }[/tex] = - [tex]\frac{3}{2x^{\frac{3}{2} } }[/tex]

Answer:

75.398

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

y2-y1/x2-x1

11-3/2-(-2)

8/4

2

Answer:

$7

Step-by-step explanation:

overtime = 1/2 x daily hourly rate

daily hourly rate = amount earned in a week / total hours worked

560 /40 = 14

overtime = 14/2 = 7

= -15 - 4 × (-3)

= - 15 + 12

= -3

Answer:

0.59049

Step-by-step explanation:

Set of all digit strings of length 5

Digit range = (0 - 9) = 10

Length of digit = 5

Total possible outcomes = 10^5 = 100000

String without a 4 ;

Digit range = (0,1,2,3,5,6,7,8,9) = 9

Length of digit = 5

Required outcome = 9^5 = 59049

Required outcome / Total possible outcomes

59049 / 100000

= 0.59049

Answer:

most likely 12, because you can take half of the time with double the people.

Step-by-step explanation:

I hope this helped!

Answer:

the tickets will cost 384 dollars in all

Answer:

V≈163.36ft³

Step-by-step explanation:

V=π(d 2)2h=π·(4 2)2·13≈163.36282ft³

Diameter= 4ft

Height=13ft

Heart me pls

Answer:

A

Step-by-step explanation:

So lets look at the points on the graph.

Actually, lets just look at a and b(We only need 1 of these points, but it doesnt hurt to do a little extra to udnerstand it better)

If we count the coordinates for A, we get:

(-2, 3)

Remember, we need to use a scale factor of 2 for this.

So we need to multiply by 2.

This now gets us:

(-4. 6)

This looks like answer A, which has:  (-4, 6) for A coordinates.

Now, lets check this with B coordinates:

(1, 3)

Multiply by 2:

(2, 6)

For answer A, is this the B coordinates?

Yup, answer A has B coordinates (2, 6)

So the answer is A!

Hope this helps! :)

Answer:

No

Step-by-step explanation:

A parallelogram has opposite sides parallel and equal in length. Also, opposite angles are equal. Squares, rectangles, and rhombuses are all parallelograms. So all parallelograms are not rhombuses.

Answer:

function is h(t) = -16t² + 22t + 6

max height is 13.5 feet

Step-by-step explanation:

Answer:

94.25 feet

Step-by-step explanation:

we can use the formula for the circumference of the circle to determine the diameter of the ferris wheel.

Answer:

I think the diagram is like this, I am not sure though.

Step-by-step explanation:

Answer:

brainliest please, sorry for the inconveniences

Answer:

16

Step-by-step explanation:

432/27=16

Answer:

800 ÷ 30 = 26.66666666666667 or 26.

Step-by-step explanation:

Answer:

0.5 ft^2

Step-by-step explanation:

The area in square inches is (6 in )(12 in) = 72 in^2.

Recall that 1 ft^2 = 144 in^2.

Then

  72 in^2         1 ft^2

--------------- * --------------- = 0.5 ft^2

         1           144 in^2

Answer:

(0,4)

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: −1y-intercept: (0,4)xy0413

Answer:

y = 3/4x - 5

Step-by-step explanation:

An equation of a line can be written in slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept.

Let's plug in what we know.

The slope is 3/4.

y = 3/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the point (4, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = 3/4(4) + b

To find b, multiply the slope and the input of x(4)

-2 = 3 + b

Now, subtract 3 from both sides to isolate b.

-5 = b

Plug this into your standard equation.

y = 3/4x - 5

This is your equation. It has a slope of 3/4, and passes through (4, -2)

Hope this helps!

Answer:

16π or 50.3 units

Step-by-step explanation:

the formula for the surface area of a sphere (as you mentioned) is:

4πr²

So if we plug in the given value (2) for r:

4π×2²=16π

Answer:

16

Step-by-step explanation:

I got it right

Answer:

Below in bold.

Step-by-step explanation:

Let x be George's age and y be Genemy's age.

x/y = 5/7

(x + 4)/ (y + 4) = 3/4

From equation 1, y = 7x/5 = 1.4x so substituting in equation 2 :

(x + 4)/ (1.4x + 4) = 3/4

3(1.4x + 4) = 4(x + 4)

4.2x + 12 = 4x + 16

0.2x = 16 -12 = 4

x = 4/0.2 = 20 = George's age.

So y = 1.4x = 1.4 * 20 = 28 = Genemy's age.

Answer:

Median is best suitable, it = 4

Step-by-step explanation:

Median is best suitable as this data' measure of central tendency. As, mean is suitable in a normally distributed data. But, in skewed (uneven) distributions, where outliers exist, median is more suitable - as it is positional average, not effected by extreme values ie outliers.

Median :

Ascending order : 0 , 1 , 2 , 2 , 4 , 4 , 4 , 5 , 5

Number (N) = 9. So, median = (N+1/ 2)th observation

= { (9 +1) / 2 } th = (10 / 2)th = 5th observation = 4

Answer:

median 4

Step-by-step explanation:

Answer: [tex]x(x+4)[/tex]

Step-by-step explanation:

Given

The rug is 4 feet longer than its width

Suppose the length of the width is x

Length is given by x+4

So, the product of length and width is equal to the area of the rug

[tex]\Rightarrow x\left(x+4\right)=A\quad\quad [\text{A=Area of rug}][/tex]