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3 years ago

Use the method of completing the square to transform the quadratic equation into the equation form (x – p)^2 = q.

1 answer:

8 0

x⁴ - 8x² = 0
x⁴ - 8x² + 16 = 0 + 16
x⁴ - 4x² - 4x² + 16 = 16
x²(x²) - x²(4) - 4(x²) + 4(4) = 16
x²(x² - 4) - 4(x² - 4) = 16
(x² - 4)(x² - 4) = 16
(x² - 4)² = 16

The answer is B.

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The center of the circle is (-4,6). the circle passes through the point (-2,3). what is it’s radius

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Radius is 3.6

Step-by-step explanation:

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The quick equation to solve that would be

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3 years ago

Triangle DEF is similar to triangle ABC. What is the length of segment EF? (HINT use scale factor) (Leave answer as a fraction)

Karo-lina-s [1.5K]

We have been given two similar triangles. We are asked to find the length of segment EF.

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3 years ago

What is the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)?

Nastasia [14]

Answer:

The equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5

Option A is correct.

Step-by-step explanation:

We need to find equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)

We need a line parallel to x=-2 or x+2=0 it should be of form x+k=0

We need to find k, by putting value of x=-5 as given in question the point(-5,4)

-5+k=0

k=5

So, the equation of line will be found by putting k=5:

x+k=0

x+5=0

x=-5

So, the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5

Option A is correct.

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3 years ago