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Y_Kistochka [10]
3 years ago
12

The value of the square root of -4 is not -2 because?

Mathematics
1 answer:
Anarel [89]3 years ago
7 0

A) (-2)² ≠ -4 is your answer



Explanation:

(-2)² = (-2)(-2)


(-2) x (-2) = 4


∴ A) (-2)² ≠ -4



hope this helps

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Use proportion to find the answer.
prisoha [69]

<u>Answer</u>

\boxed {64}


<u>Detailed Explanation </u>

Let's set up a proportion.


\frac{3}{4.8} = \frac{40}{x}


Now that we have set up a proportion we would need to cross multiply.

3*x=3x

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3 years ago
Write the equation of the circle whose center is (-4,8) and has a diameter of 18
svetoff [14.1K]

Answer:

(x + 4)^2 + (y - 8)^2 = 81

or

(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.

Step-by-step explanation:

The standard form for a circle is

(x + h)^2 + (y + k)^2 = r^2

r is the radius.

You are given the diameter

r = d/2

r = 18/2

r = 9

So you already have the right hand side of the equation

(x + h)^2 + (y + k)^2 = 9*2

(x + h)^2 + (y + k)^2 = 81

You basically have h and k as well. They come from the center point.

h = 4

k = - 8

So the equation of the circle (and the answer) is

(x + 4)^2 + (y - 8)^2 = 81

One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.

It is the distance formula that is actually the formula for the circle.

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