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SSSSS [86.1K]
3 years ago
5

What are the coordinates of the midpoint of the segment joining points A(6, -3, 7) and B(-4, -5, 3)?

Mathematics
1 answer:
kvasek [131]3 years ago
5 0
Add both x and divide by 2, add both y and divide by 2, add both z and divide by 2

6 - 4 = 2/2 = 1

x = 1

-3 - 5 = -8 / 2 = -4

y = -4

7 + 3 = 10 /2 = 5

z = 5

(1, -4, 5)


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If x = 4, then 5x = 20
Alexandra [31]

Answer:

Step-by-step explanation:

3 0
3 years ago
Find the area bounded by the graphs of the indicated equations over the given interval.
NeX [460]

Answer:

48

Step-by-step explanation:

y = 0

is basically the horizontal axis.

First, find the integral of x^2-25.

Remember that

integral of a constant is that constant times x.

Also that

to take the integral of a power function, add 1 to the degree and divide by that same degree.

y =  {x}^{2}  - 25

We then get

\frac{ {x}^{3} }{3}  - 25x

Evaluate at -3

\frac{ - 3 {}^{3} }{3}  - 25( - 3)

- 27 + 75 = 48

Then we evaluate at 0

\frac{0 {}^{3} }{3}  - 25(0) = 0

Next, we subtract the the answer then we get

48 - 0 = 48

8 0
2 years ago
Timothy has a fenced-in garden in the shape of a rhombus. The length of the longer diagonal is 24 feet, and the length of the sh
Drupady [299]
One side of the fenced-in garden is 15 ft
7 0
3 years ago
Read 2 more answers
Select the quadrant in which the terminal side of the angle falls.
Sedbober [7]

Answer:

The answer is below

Step-by-step explanation:

Select the quadrant in which the terminal side of the angle falls.

210° terminates in quadrant

-150° terminates in quadrant

390° terminates in quadrant

Solution:

The x and y axis divides the cartesian plane into four equal parts known as the four quadrants.

Angles between 0° and 90° are in the first quadrant, angles between 90° and 180° are in the second quadrant, angles between 180° and 270° are in the third quadrant while angles between 270° and 360° are in the fourth quadrant.

a) Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.

b) -150° = 360 - 150 = 210°. Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.

c) 390° = 390° - 360° = 30°.

Since 30 degrees is between 0° and 90°, hence it terminates in the first quadrant.

 

8 0
3 years ago
At a movie theater, an adult ticket costs $10 and a child ticket costs $6. There were 350 people at a movie showing. The revenue
Wittaler [7]
X - number of the adults, y  - number of children;
The system is:
10 x + 6 y = 3292
x + y = 350   =>   y = 350 - x
----------------------
10 x + 6 * ( 350 - x ) = 3292
10 x + 2100 - 6 x = 3292
4 x = 3292 - 2100
4 x = 1192
x = 1192 : 4
x = 298
y = 350 - 298
y = 52
Answer:
There were 598 adults and 52 children at the showing.
6 0
3 years ago
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