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3 years ago

Solve x^2-12x+36=44 by factoring!! please help asap with work shown :)

Mathematics

1 answer:

AnnyKZ [126]3 years ago

6 0

x^2 - 12x + 36 is a perfect square trinomial and can be written as (x-6)(x-6).

(x - 6)^2 = 44.

Take the square root of both sides to get...

x - 6 = ±√44 (Always make the square root + or - when you square root)

Add 6 to both sides...

x = √44 + 6

x = -√44 + 6

These are the 2 values of x.

You can also write it to be -0.633 and 12.633. (Once you round.)

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The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his

steposvetlana [31]

The number of basketball that will fill up the entire office is approximately 16,615.

Recall:

Volume of a spherical shape = $\frac{4}{3} \pi r^3$

Volume of a rectangular prism = $l \times w \times h$

Given:

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

First, find the volume of the basketball:

Volume of ball = $\frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\$

Volume of basketball = $448.92 $ in^3$

Convert to $ft^3$

$1728 $ in.^3 = 1 $ ft^3$

Therefore,

Volume of basketball = $\frac{448.92}{1728} = 0.26 $ ft^3$

Find the volume of the office (rectangular prism):

Volume of the office = $20 \times 18 \times 12 = 4,320 $ ft^3$

Number of basket ball that will fill the office = Volume of office / volume of basketball

Thus:

Number of basket ball that will fill the office = $\frac{4,320}{0.26} = 16,615$

Therefore, it will take approximately 16,615 balls to fill up the entire office.

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Need help please. Thank you! :)

nika2105 [10]

they are supplementary angles

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