3 years ago

If x < 5, then which of the following must be true?

Mathematics

2 answers:

nevsk [136]3 years ago

6 0

-x > - 5 is also true. B.
When you divide by a negative number you change the direction of the inequality sign.

lesya692 [45]3 years ago

6 0

the answer is B -x>-5

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3 years ago

What is the volume of a ball that has a diameter of 9 inches? Round to the nearest whole number

nalin [4]

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Vsphere=pir^3
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Suppose the population of a town is 8,200 and is growing 3% each year. Write an equation to model the population growth. Predict

lawyer [7]

x = population after 3 years

y = starting population

r = percentage

n = number of years

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Alecsey [184]

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3 years ago

A piece of wire measuring 20 feet is attached to a telephone pole as a guy wire. The distance along the ground from the bottom o

dem82 [27]

Answer: Height at which the wire is attached to the pole is 12 feet.

Explanation:

Since we have given that

Length of the wire = 20 feet

Let the height at which wire is attached to the pole be h

and distance along the ground from the bottom of the pole to the end of the wire be x+4

Now, it forms a right angle triangle so, we can apply "Pythagorus theorem".

$H^2=B^2+P^2\\\\20^2=x^2+(x+4)^2\\\\400=x^2+x^2+8x+16\\\\400=2x^2+8x+16\\\\400=2(x^2+4x+8)\\\\200=x^2+4x+8\\\\x^2+4x-192=0\\\\x^2+16x-12x-192=0\\\\x(x+16)-12(x+16)=0\\\\(x+16)(x-12)=0\\\\x=-16\ and\ 12$

But height cant be negative so, height will be 12 feet.

Hence, height at which the wire is attached to the pole is 12 feet.

8 0

3 years ago