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kotykmax [81]
2 years ago
6

20. Given circle C with radius r and circle D with radius

Mathematics
1 answer:
damaskus [11]2 years ago
7 0

Answer:

A. Transform circle C with a dilation that has center  C and scale factor s.

Step-by-step explanation:

Given

Circle C

radius = r

Circle D

radius = s

Required

Map C to D

From the question, we can assume that:

r \ne s

This implies that options c and d are false because when an object is translated from one point to another, the size of the object remains unchanged.

To map C onto D,

1) C has to be dilated from its own center C

2) The scale of dilation will be equal to the radius of D (i.e. s)

<em>Hence, (A) is correct</em>

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Factor completely.<br> 4x^3 + 12x^2 + 3x + 9
Sergio039 [100]

Answer:

(4x^2 + 3)(x + 3)

Step-by-step explanation:

Split the equation in the middle so you can factor it out:

4x^3 + 12x^2   |   + 3x + 9

Then factor out:

4x^2(x + 3)   |   3(x + 3)

Congrats, you completed your equation:

(4x^2 + 3)(x + 3)

5 0
3 years ago
What is the coefficient on x in the product of (3x+2)(x+4)?
IceJOKER [234]

Answer:

3

Step-by-step explanation:

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3 years ago
2.5 X 10^5 divided by 1.0 X 10^10
bekas [8.4K]

Answer:

0.000025

Step-by-step explanation:

PEMDAS (Exponets first.)

10^5 = 100,000

10^10 = 10,000,000,000

rewrite

2.5 x 100,000 divided by 1.0 x 10,000,000,000

PEMDAS (multiplication next.)

2.5 x (10^5) = 250,000

1.0 x (10^10) = 10,000,000,000

rewrite.

250,000 divided by 10,000,000,000 = 0.000025

0.000025

6 0
3 years ago
Two functions are shown in the table below: Function 1 2 3 4 5 6 f(x) = −x2 + 4x + 12 g(x) = x + 2 Complete the table on your ow
zubka84 [21]

Answer:

x   f(x)   g(x)

1    15    3

2    16   4

3    15    5

4    12    6

5    7     7

6    0     8

f(x) = g(x) when x = 5

Step-by-step explanation:

f(x) = -x² + 4x + 12

f(1) = -(1)² + 4(1) + 12 = 15

f(2) = -(2)² + 4(2) + 12 = 16

f(3) = -(3)² + 4(3) + 12 = 15

f(4) = -(4)² + 4(4) + 12 = 12

f(5) = -(5)² + 4(5) + 12 = 7

f(6) = -(6)² + 4(6) + 12 = 0

g(x) = x + 2

g(1) = 1 + 2 = 3

g(2) = 2 + 2 = 4

g(3) = 3 + 2 = 5

g(4) = 4 + 2 = 6

g(5) = 5 + 2 = 7

g(6) = 6 + 2 = 8

3 0
3 years ago
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