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Tpy6a [65]
3 years ago
15

What are the coordinates of the image of the point (4, 2) after a dilation with a center of (0, 0) and a scale factor of 2? A. (

0, 0) B. (2, 1) C. (4, 2) D. (8, 4)
Mathematics
1 answer:
frez [133]3 years ago
8 0

Answer:

Option D (8,4)

Step-by-step explanation:

we know that

The dilation centered at the origin  (0,0) is very simple. To find out the image point multiply the scale factor to the x  and  y-coordinates of the pre-image point.

so

(2*4,2*2) -----> (8,4)

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Find the formula for the area A and the perimeter P of the shape shown find the area and perimeter when R is 5 cm find R when A
Ghella [55]

Answer:

1)Area; A = ¼πr²

Perimeter; P = πr/2 + 2r

2)A = 19.63 cm²

P = 17.85 cm

3) r = 8.885 cm

4) r = 14 cm

Step-by-step explanation:

This is a quadrant of a circle. Thus;

Area of a circle is πr². A quadrant is a quarter of a circle. Thus;

Formula for Quadrant Area is; A = ¼πr²

A) Perimeter of a circle is 2πr. Thus, perimeter of a quadrant is a quarter of the full circle perimeter.

Formula for the quadrant perimeter in the image given is;

P = 2πr/4 + 2r

P = πr/2 + 2r

B) When r is 5 cm;

A = ¼π(5)²

A = 19.63 cm²

P = π(5)/2 + 2(5)

P = 17.85 cm

C) when A is 100cm²:

¼πr² = 100

r² = 100 × 4/π

r² = 78.9358

r = √78.9358

r = 8.885 cm

D) when P = 50 cm.

50 = πr/2 + 2r

50 = (½π + 2)r

r = 50/(½π + 2)

r = 14 cm

6 0
3 years ago
How would you calculate the area and perimeter of 3yd 6yd 5yd 10yds
spayn [35]
Okay, start with the smaller square, you know the side length is 3 and that the width is 5, multiply this together:
3 * 5 = 15

That's the smaller left side of this shape, now the bigger side, divide the 10 yards at the bottom by 2 to properly represent the other side then multiply this by the 6 over there.
5 * 6 = 30

Conclusion for Area: After adding the results the answer should be 45.

The perimeter is solely adding all the sides together. You have a 10, two 5's, one 6, and two 3's. Add this together:

10 + 5 + 5 + 6 + 3 + 3 = 32

Conclusion for Perimeter: So the perimeter would be 32.

I hope this helps in someway, have a great rest of your day! ^ ^
| | Ghostgate | |
3 0
3 years ago
Please answer for BRAINLIEST!
oee [108]

Answer:

1.5 units squared

Step-by-step explanation:

Area of a Triangle formula: A = 1/2bh

Pythagorean Theorem: a² + b² = c²

Since you are missing the <em>h </em>to find the area of the triangle, you must use Pythagorean to find the 3rd missing side (it is a right triangle so you can use Pythagorean).

Step 1: Use Pythagorean

2.5² = 1.5² + b²

4 = b²

b = 2

Step 2: Switch variables

b (from Pythagorean) = h (height for Area)

Step 3: Solve for Area

A = 1/2(1.5)(2)

A = 1.5

And you have your final answer.

8 0
3 years ago
What digits can be in the ones place of a number that has five as a factor?
choli [55]
There can be 0s and 5s
7 0
3 years ago
What is the inverse of y=x+3
taurus [48]

Answer:  y3=x y 3 = x

Step-by-step explanation:

6 0
3 years ago
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