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3 years ago

What value is added to both sides of the equation x2 - 8x = -10 in order to solve by completing the square?

1 answer:

5 0

X² - 8x = -10

to have a complete square, we must have this format:

a² + 2ab + b²

a² = x²
2ab = -8x ⇒ 2(x)(-4)
b² = -4² = 16

x² - 8x + 16 = -10 + 16
x² - 8x + 16 = +6
(x-4)² - 6 = 0

Both sides must have an additional value of 16.

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2 years ago

1.Suppose f(x)=6x^2+2x-7 and g(x)=4x-3.Find the value of f(5)/g(-3)

posledela

Answer:

-10.2

Step-by-step explanation:

f{5} = 6(5^2) + 2(5) - 7

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3 years ago

Complete the equation 0.037 x ? = 37 pls hurry

OleMash [197]

Answer:

The missing number is 1000

Step-by-step explanation:

0.037 × ? = 37

Divide both sides by 0.037.

$a = \frac{37}{0.037}$

Expand $\frac{37}{0.037}$ by multiplying both the numerator and the denominator by 1000.

$a = \frac{37000}{37}$

Divide 37000 by 37 to get 1000.

$a = 1000$

Hope it helps and have a great day! =D

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2 years ago

The length of a rectangle is represented by the function L(x) = 5x. The width of that same rectangle is represented by the funct

Mazyrski [523]

Remember that the area of a rectangle is the length of the rectangle multiplied by the width of the rectangle.

In this case, we could say (where $A(x)$ is the area of the rectangle):

$A(x) = L(x) \cdot W(x)$

Substituting the values the problem gave us for $L(x)$ and $W(x)$ , we can find the formula for $A$ in terms of $x$ , which is:

$A(x) = (5x) \cdot (2x^2 - 4x + 13) = (10x^3 - 20x^2 + 65x)$

The formula for the area of the rectangle would be A(x) = 10x³ - 20x² + 65x.

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