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Vikki [24]
3 years ago
12

Find the radius r of C.

Mathematics
1 answer:
garik1379 [7]3 years ago
5 0

Answer:

10

Step-by-step explanation:

By Pythagoras' Theorem:

16 + r = √(24^2 + r^2)

(16 + r)^2 = 24^2 + r^2

256 + 32r + r^2 = 576 + r^2

32r = 320

r = 10

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Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ (Hint: Let​ (x,y) be the unkno
gizmo_the_mogwai [7]

Answer:

The other endpoint of the​ segment is (-18,-7).

Step-by-step explanation:

The midpoint of the points (x_1,y_1) and (x_2,y_2) is given by the following formula:

                                          (x_m,y_m)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}  )

where (x_m,y_m) = coordinates of the midpoint.

We know that the midpoint is (-15, 2) and an endpoint is (-12, 11). Substituting the information we have gives:

                                         (-15,2)=(\frac{x_1-12}{2}, \frac{y_1+11}{2}  )

To find x_1 we need to solve this equation:

-15=\frac{x_1-12}{2} \\\\\frac{x_1-12}{2}=-15\\\\\frac{2\left(x_1-12\right)}{2}=2\left(-15\right)\\\\x_1-12=-30\\\\x_1-12+12=-30+12\\\\x_1=-18

and to find y_1 we need to solve this equation:

2= \frac{y_1+11}{2}  \\\\\frac{y_1+11}{2}=2\\\\\frac{2\left(y_1+11\right)}{2}=2\cdot \:2\\\\y_1+11=4\\\\y_1=-7

The other endpoint of the​ segment is (x_1,y_1)=(-18,-7).

5 0
3 years ago
20 apartments on 4 floors = apartments per floor
IRISSAK [1]

Answer:

5

Step-by-step explanation:

Take 20, and divide it by 4.

5 0
2 years ago
Read 2 more answers
The line that contains the point Q( 1, -2) and is parallel to the line whose equation is y - 4 = 2/3 (x - 3)
Musya8 [376]

Answer:

y + 2 = \frac{2}{3}(x - 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 4 = \frac{2}{3}(x - 3) ← is in point- slope form

with slope m = \frac{2}{3}

Parallel lines have equal slopes, thus equation of parallel line

with m = \frac{2}{3} and (a, b) = Q(1, - 2) is

y - (- 2) = \frac{2}{3}(x - 1) , that is

y + 2 = \frac{2}{3}(x - 1)

7 0
3 years ago
Help ! i’ll give brainliest
Y_Kistochka [10]

Answer:

5p+s

Step-by-step explanation:

five friends jumping for one hour

4 0
2 years ago
3+12x5/(5+15) What’s the answer
r-ruslan [8.4K]

\bf 3+12\times \cfrac{5}{(5+15)}\implies 3+12\times \cfrac{5}{\underset{\uparrow }{20}}\implies 3+12\times \cfrac{1}{4}\implies 3+\cfrac{\stackrel{\downarrow }{12\times 1}}{4} \\\\\\ 3+\cfrac{12}{4}\implies 3+\stackrel{\downarrow }{3}\implies 9

3 0
3 years ago
Read 2 more answers
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