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3 years ago

Two buildings have the same total height. One building

Mathematics

1 answer:

vredina [299]3 years ago

6 0

Answer:

12 feet

Step-by-step explanation:

Two buildings have the same total number of heights

The first building has 6 floors each with height h

The second building has a ground floor of 36 feet and 3 other floors each

Since both buildings have the same height then

Height of first building= height of second building

The first step is to calculate the height of the first building

Height of first building = 6h

The height of the second building is

36 + 3h

Therefore the height of each floors can be calculated as follows

6h= 36 + 3h

Collect the like terms

6h-3h = 36

3h= 36

h= 36/3

h= 12

Hence the height of each floors is 12 feet

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3 years ago

How do you solve an inequality that has a fraction (with a variable as the nemurator/demoninator

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3 years ago

Write a linear function f with the values f(10)=5 and f(2)=-3

Nutka1998 [239]

Answer:

$f(x)=x-5$

Step-by-step explanation:

step 1

Find the slope m

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(10,5) and (2,-3)

substitute the values

$m=\frac{-3-5}{2-10}$

$m=\frac{-8}{-8}$

$m=1$

step 2

Find the equation of the line in slope intercept form

$f(x)=mx+b$

we have

$m=1$

$point\ (10,5)$

substitute and solve for b

$5=(1)(10)+b$

$5=10+b$

$b=-5$

The linear function is equal to

$f(x)=x-5$

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3 years ago