Need answer quick and simple explanation

Mathematics

2 answers:

Sergio [31]3 years ago

6 0

Answer:

Step-by-step explanation:

Given

(x + 2)³

= (x + 2)(x + 2)(x + 2) ← expand second/third factor using FOIL

= (x + 2)(x² + 4x + 4) ← distribute

= x(x² + 4x + 4) + 2(x² + 4x + 4) ← distribute both parenthesis

= x³ + 4x² + 4x + 2x² + 8x + 8 ← collect like terms

= x³ + 6x² + 12x + 8 → A

harkovskaia [24]3 years ago

5 0

(x + 2)(x + 2)(x + 2)
(x^2 + 4x + 4)(x + 2)
x^3 + 4x^2 + 4x + 2x^2 + 8x + 8
Simplify
Solution: x^3 + 6x^2 + 12x + 8
The answer is A

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dlinn [17]

Answer:

the guy wire is 7.211 ft long

Step-by-step explanation:

Notice that we are in the presence of a right angle triangle formed by: the height (the standing 6 ft pole), the base (the distance from the pole to the anchoring point on the ground), and the actual guy wire. See attached image for reference.

Notice that since pole and ground are perpendicular to each other (at 90 degrees) , the guy wire forms what is called the "hypotenuse" (longest side) of the right angle triangle. We can therefore use the Pythagorean Theorem to solve this problem with the formula for the hypotenuse:

$Hypotenuse=\sqrt{side1^2 +side2^2} \\Hypotenuse= \sqrt{6^2+4^2}\\Hypotenuse=\sqrt{36+16} \\Hypotenuse=\sqrt{52} \\Hypotenuse=7.2111\, ft$