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4 years ago

. x² – 8x =9 Select each correct answer.

Mathematics

1 answer:

Alika [10]4 years ago

4 0

Answer:

x=9, -1.

Step-by-step explanation:

x^2-8x=9

x^2-8x-9=0

factor out the trinomial

(x-9)(x+1)=0

zero property,

x-9=0, x+1=0

x=0+9=9

x=0-1=-1

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4 years ago

Priya is stacking building blocks to make a tower. She takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 of the

tensa zangetsu [6.8K]

Answer:

4 feet.

Step-by-step explanation:

Let x be the height of tower when finished.

We have been given that Priya takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 of the height of the tower she wants to build.

This means that 5/8 of x equals $2\frac{1}{2}$ . Let us represent this information in an equation.

$\frac{5}{8}*x=2\frac{1}{2}$

Let us convert our given mixed fraction into improper fraction.

$\frac{5}{8}*x=\frac{5}{2}$

Let us multiply both sides of our equation by 8/5.

$\frac{8}{5}\times \frac{5}{8}*x=\frac{5}{2}\times \frac{8}{5}$

$x=\frac{8}{2}$

$x=4$

Therefore, the tower will be 4 feet tall when finished.

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3 years ago