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Tamiku [17]
3 years ago
8

Nila uses the equation c=8h to figure out the total amount c she should charge a customer if she babysits for h hours.

Mathematics
1 answer:
nydimaria [60]3 years ago
3 0

Answer:

c = 10h

Step-by-step explanation:

c = 8h

Where,

c = Total amount she should charge a customer

h = Number of hours

8 = amount charged per hour of babysitting

A. 8 is the constant of proportionality and it means Nila charges $8 per hour of babysitting

B. If she decides to increase the rate she charges customers by $2 per hour, then the new equation she should use to determine how much to charge her customers is:

c = (8 + 2)h

c = 10h

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Answer:

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Step-by-step explanation:

In the question, the shape of the pool is right triangle.

Let the leg side along the wall to be the x ft

Let the other leg side  to be 7+x ft

Let the longest side/hypotenuse to be x+9 ft

Apply the Pythagorean relationship where the sum of squares of the legs equals the square of the hypotenuse

This means;

x^2 +(x+7)^2=(x+9)^2\\\\

Expand the terms in brackets

x^2+(x+7)^2=(x+9)^2\\\\\\x^2+x^2+14x+49=x^2+18x+81

collect like terms

x^2+x^2-x^2=18x-14x+81-49\\\\\\x^2=4x+32\\\\\\x^2-4x-32=0

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Taking the positive value of x;

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