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3 years ago

11

In Georgetown, the library is 8 miles due south of the courthouse and 6 miles due west of the community swimming pool. What is t

he distance between the courthouse and the community swimming pool?

1 answer:

Nuetrik [128]3 years ago

4 0

Answer:

10 miles

Step-by-step explanation:

tree points form a right triangle with sides 8, 6 and x

x is the hypotenuse of the triangle

x²=8²+6²=100

x=√100=10 miles

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To get from the post office to the library, Sindy walked due north and then due east. The distance Sindy walked east is 20 meter

kaheart [24]

A. x∧2+(x+20∧2=150∧2 is correct.

because you need to plug the numbers into the pathagoreum theorum which is
a∧2+b∧2=c∧2

150 is our c because it is the side right accross from the right angle.

which number is a and which number is b does not matter.

x is the distance north so we can assign that to a and the distace east is north plus 20 so we can assign b to x+20.

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3 years ago

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Which prime number do the prime factorization of 130 and 165 have in common?

Marizza181 [45]

Answer:

They both have the #5 and they both have 3 #'s that are prime?

Step-by-step explanation:

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3 years ago

4. Determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

Ierofanga [76]

Answer:

YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

Step-by-step explanation:

Given

Given that the function f(x) and g(x) are inverse functions.

$f\left(x\right)\:=\:\frac{1}{3}x\:+\:5$

$g(x) = 3x - 15$

To determine

Let us determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

<u>Determining the inverse function of f(x) </u>

A function g is the inverse function of f if for y = f(x), x = g(y)

$y=\frac{1}{3}x+5$

Replace x with y

$x=\frac{1}{3}y+5$

Solve for y

$y=3x-15$

Therefore,

YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

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2 years ago

What is the function that the equation F(x)=3^x represents

Roman55 [17]

Thats an exponential function The variable x is an exponent so that is why its called exponential.

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3 years ago

3x-2x=6-7 solve this problem step by step

elena-s [515]

Answer:

-1

Step-by-step explanation:

1x= -1

x= -1

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3 years ago

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