2 years ago

Find the length of the diameter of a sphere with a surface area of 1890.56 cm^2.

1 answer:

3 0

1890.56 / 4 = 472.64 / pi = 150.4459846
square root of 150.4459846 = 12.26564245 = radius
12.26564245 x 2= 24.53128489
the answer is number 2

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Solve the equation for y (y-3)^2=4y-12

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(y -3)^2 = 4y - 12

Expand.

(y-3)(y -3) = 4y - 12

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y² - 6y -4y + 9 + 12 = 0

y² - 10y + 21 = 0

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y² - 10y + 21 = 0

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Step-by-step explanation:

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Read 2 more answers

Write the equation for the parabola that has x− intercepts (−2,0) and (4,0) and y− intercept (0,4).

seropon [69]

Answer:

$y = -\frac{1}{2}(x^2-2x-8)$

Simplified it is $y=-\frac{1}{2}x^2+x+4$

Step-by-step explanation:

The x-intercepts of a parabola form the factors of the equation. Since the x -intercepts are (-2,0) and (4,0) then the factors are (x+2) and (x-4). Factors are pieces which multiply to make the equation.

$y=(x+2)(x-4)\\y=x^2+2x-4x-8\\y=x^2-2x-8$

This is the standard form of the parabola $ax^2+bx+c$ . Since the y-intercept of the parabola is (0,4) then a number must also be multiplied to it

$y=a(x^2-2x-8)$

We find a by plugging in x=0 and y=4.

$4=a(0^2-2(0)-8)\\4=a(0-0-8)\\4=a(-8)\\\frac{4}{-8} = a\\\frac{-1}{2} = a$

So the equation is $y = -\frac{1}{2}(x^2-2x-8)$ .

When simplified it is $y=-\frac{1}{2}x^2+x+4$

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2 years ago