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Kryger [21]
3 years ago
14

At what elevation does the atomosphere become too thin to breath

Mathematics
1 answer:
prohojiy [21]3 years ago
4 0
At around 20'000ft. and higher.
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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

4 0
3 years ago
What is a number that when you multiply it by 8 and subtract 12 from the product, you get 76?
SVEN [57.7K]
I made an equation and calculated it. The answer is 11.

5 0
3 years ago
Read 2 more answers
What is 230 divided by 2
nikitadnepr [17]
230 divided by 2 is 115

Hope that helped :)
7 0
3 years ago
Read 2 more answers
Given the graph of a line y=−x. Write an equation of a line which is perpendicular and goes through the point (8,2).
coldgirl [10]

Answer:

y = x - 6

Step-by-step explanation:

The slope of y = -x is -1, so the slope of any line perpendicular to y = -x is +1.  Thus,

y = mx + b becomes 2 = 1(8) + b, so that b = -6.

The desired equation is y = x - 6.

Check:  Does (8,2) lie on this line?  Is 2 = 8 - 6 true?  YES.


6 0
3 years ago
Read 2 more answers
If m=3 and n=-4 calculate the value of mn +n²​
jonny [76]

Answer:

28

Step-by-step explanation:

-4×-4=16

3×4=12

12+16=28

6 0
3 years ago
Read 2 more answers
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