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3 years ago

What is the image point of (-6,3) after a translation right 5 units and down 3 units?

Mathematics

1 answer:

kobusy [5.1K]3 years ago

6 0

Answer:
(-1,0)
step-by-step explanation:
(-6,3)
right 5
(-1,3)
down 3
(-1,0)

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a norman window has the shape of a rectangle surmounted by a semicircle. if the perimeter of the window is 25 feet, express the

sp2606 [1]

The area of the window is $\frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}$

The shape of the Norman window is described as a rectangle surmounted by a semicircle.

Let 'x' be the width of the window.

Then this width corresponds to the diameter of the semicircle.

That is, radius of the semicircle = x/2

Now given the perimeter of the whole window = 25 ft

This perimeter is equal to the sum of 3 sides of the rectangle and the perimeter of the semicircle.

Perimeter of the semicircle = $\frac{2\pi r}{2} = \frac{\pi x}{2}$ , where r is the radius of the semicircle.

Now let 'y' be the length of the window.

Then sum of three sides of the window = 2y + x

So 2y + x + $\frac{\pi x}{2}$ = 25

Therefore, $y =( 25 - x - \frac{\pi x}{2} ) / 2$

Area of the window = Area of the semicircle + Area of the rectangle =

$\frac{\pi x^2}{8} +xy = \frac{\pi x^2}{8} + x( 25 - x - \frac{\pi x}{2} ) / 2\\ = \frac{\pi x^2}{8} + (25x - x^2 - \frac{\pi x^2}{2} ) / 2$

So Area of the window = $\frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}$

Learn more about area of circle and rectangle at brainly.com/question/4694841

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7 0

1 year ago

1.Which prefix means one hundredth?

Firdavs [7]

1. Centi
2. M
3. 6300
4. mg
5. 0.789
6. 98.7
7. L
8. 4 miles
9. A
10. 90 oz
11. 7650 lb
12. C
13. C
14. B
15. D
16. C
17. B
18. A
19. D

6 0

3 years ago

Read 2 more answers

For every $5 tent saved, his his dad will contribute $2 to his saving account. How much will Trent have to put into the account

KonstantinChe [14]

Answer:

$40

Step-by-step explanation:

Trent contributes 5/(5+2) = 5/7 of the amount in his account. For an amount of $56, he must contribute ...

(5/7)×$56 = $40

Trent will have to put $40 into the account before he can buy a $56 skateboard.

7 0

3 years ago

RACE A city hosts a race annually. They decide to place a

Tju [1.3M]

Answer:

Step-by-step explanation:

M is in the middle of the alphabet, so it would be the midpoint of A-Z if they were placed on a coordinate plane.

6 0

3 years ago

VIIIe in the standard (x,y) coordmate pralit nas

Savatey [412]

The coordinates of point B are (-4 , -2) ⇒ answer H

Step-by-step explanation:

In any circle

The diameter of the circle passing through its center
The center of the circle is the mid-point of all diameters

If (x , y) are the coordinates of the mid-point of a line whose end

points are $(x_{1},y_{1})$ and $(x_{2},y_{2})$ , then

$x=\frac{x_{1}+x_{2}}{2}$ and $y=\frac{y_{1}+y_{2}}{2}$

∵ Point C is the center of a circle

∵ AB is the diameter of the circle

∴ C is the mid point of AB

∵ A = (2 , 6) ⇒ $(x_{1},y_{1})$

∵ B = $(x_{2},y_{2})$

∵ C = (-1 , 2) ⇒ (x , y)

- Use the rule of the mid-point above

∵ $-1=\frac{2+x_{2}}{2}$

- Multiply both sides by 2

∴ -2 = 2 + $x_{2}$

- Subtract 2 from both sides

∴ $x_{2}$ = -4

∴ The x-coordinate of point B is -4

∵ $2=\frac{6+y_{2}}{2}$

- Multiply both sides by 2

∴ 4 = 6 + $y_{2}$

- Subtract 6 from both sides

∴ $y_{2}$ = -2

∴ The y-coordinate of point B is -2

The coordinates of point B are (-4 , -2)

Learn more:

You can learn more about the circle in brainly.com/question/9510228

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7 0

2 years ago