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4 years ago

What is the center of the circle with the equation (x+4)^2 + (y - 2)^2 = 16? a (-4, -2) b (4,2) c (-4, 2) d (4, -2)

Mathematics

2 answers:

Lina20 [59]4 years ago

5 0

Answer:

The center is ( -4,2) and the radius is 4

Step-by-step explanation:

The equation of a circle can be written as

( x-h) ^2 + ( y-k) ^2 = r^2 where ( h,k) is the center and r is the radius

(x+4)^2 + (y - 2)^2 = 16

(x- -4)^2 + (y - 2)^2 = 4^2

The center is ( -4,2) and the radius is 4

mrs_skeptik [129]4 years ago

3 0

Answer:

C) (-4, 2)

Step-by-step explanation:

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4 years ago

Determine the x-intercept, y-intercept and slope of the line described by - 3x + 7y = –21 (Which is not proper Standard Form bec

inessss [21]

Slope = 3/7

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3 years ago

Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (neg

Eva8 [605]

Given:

The given expression is:

$(-4x+9)^2$

According to Kylie,

$(-4x+9)^2=(-4x)^2+(9)^2$

$(-4x+9)^2=16x^2+81$

To find:

The correct statement for Kylie's explanation.

Solution:

We have,

$(-4x+9)^2$

According to the perfect square trinomial $(a+b)^2=a^2+2ab+b^2$ .

$(-4x+9)^2=(-4x)^2+2(-4x)(9)+(9)^2$

$(-4x+9)^2=16x^2-72x+81$

Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Therefore, the correct option is C.

4 0

3 years ago

Read 2 more answers

A smoothie cafe has the ingredients needed to make 50,000 Smoothies on a day when the high temperature is expected to reach 90F.

DIA [1.3K]

Answer: my teacher did this with me today.

Step-by-step explanation:

Explanation in picture

4 0

3 years ago

Find the missing segment.

Bond [772]

Answer:

? = 7.

Step-by-step explanation:

The two triangles are similar because of the AA Theorem.

The larger triangle's side that is equal to 9 + 3 corresponds to the smaller triangle's side length of 9, while the larger triangle's 21 + ? side corresponds to the smaller triangle's 21 side. Now, we can set up a proportion!

$\frac{9}{9+3} =\frac{21}{21 + ?}$

$\frac{9}{12} =\frac{21}{? + 21}$

$\frac{3}{4} =\frac{21}{? + 21}$

$\frac{1}{4} =\frac{7}{? + 21}$

? + 21 = 7 * 4

? + 21 = 28

? = 28 - 21

? = 7

Hope this helps!

3 0

4 years ago