Maria finds a local gym that advertises 102 training sessions for $767. Find the cost of 117 training sessions.

Mathematics

1 answer:

creativ13 [48]3 years ago

6 0

Answer:

$986

I attempted to do the simple math. I feel brain dead right now.

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Find an equation of the circle whose diameter has endpoints , 6−2 and , −4−4 .

MrRissso [65]

If you need just the answer, it's in bold at the bottom. Otherwise, the process for how I got there is below.

In order to find the equation, we first find the midpoint. This will give us the center of the two endpoints. Then, we do the distance formula to find how many units there are between the endpoints and cut it in half to find the radius. After, we plug in the new information into the equation format of the circle.

Midpoint = $( \frac{x_{1}+ x_{2} }{2}, \frac{ y_{1} + y_{2} }{2} )$

So plug in the ordered pairs given to get:

Midpoint = $( \frac{6-4}{2}, \frac{-2-4}{2})$
Midpoint = $( \frac{2}{2}, \frac{-6}{2})$
Midpoint = (1, - 3)

This is your center.

Now for the distance between the endpoints.

Distance = √((X₂ - X₁)² + (Y₂ - Y₁)²)
Distance = √((-4 - 6)² + (-4 - (-2))²)
Distance = √((- 10)² + (- 2)²)
Distance = √(100 + 4)
Distance = √104 which simplifies to 2√26

So the distance between the two endpoints (the diameter) is 2√26 units long. We divide this by 2 and get the measurement of the radius. The radius is √26 units long.

Now we plug in to the equation of a circle:

(x - h)² + (y - k)² = r²

The center of the circle is represented by the ordered pair (h, k) and the radius is represented by r.

So your equation becomes:
(x - 1)² + (y + 3)² = (√26)²

Which simplifies to your final answer:

(x - 1)² + (y + 3)² = 26

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3 years ago

Which of these shapes has Square corners?

dem82 [27]

The answer is option C

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3 years ago

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A librarian wants to spend no more than $800 on some new desks and chairs for the library. The librarian decides to spend $320 o

Ratling [72]

Answer:

I think 20