(x – 4)(x + 10) = -17

Mathematics

1 answer:

pogonyaev3 years ago

4 0

Answer:

-3 + 4sqrt(2)

-3 - 4sqrt(2)

Step-by-step explanation:

(x – 4)(x + 10) = -17

FOIL on the left hand side (First outer inner last)

x^2 +10x-4x-40 = -17

x^2 +6x-40 =-17

Add 17 to each side

x^2 +6x-40+17 =-17+17

x^2 +6x -23 = 0

Using the quadratic formula

-b + - sqrt(b^2 -4ac)

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where ax^2 +bx+c=0

-6 + - sqrt(6^2 -4*1*-23)

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2*1

-6 + - sqrt(36 +92)

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-6 + - sqrt(128)

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-6 + - 8sqrt(2)

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Divide top and bottom by 2

-3 + - 4sqrt(2)

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Allushta [10]

-5x = x + 6(1-x)

-5x = x + 6(1) + 6(-x)
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3 years ago

Find the volume of a pyramid with a square base, where the side length of the base is

Alexxandr [17]

Answer:

127.253 m^3

Step-by-step explanation:

To find the volume, we start by getting the area of the square base

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