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lara31 [8.8K]
3 years ago
12

Determine the midpoint given 2 points. (6,-10), (10,7)?

Mathematics
2 answers:
NISA [10]3 years ago
8 0

Hey there! I'm happy to help!

To find the x-value of the midpoint, you add the x values and divide by 2.

6+10=16

16/2=8

And for the y value, you do the same thing but with the y values.

-10+7=-3

-3/2=-3/2

Therefore, our midpoint is (8,-3/2).

Have a wonderful day! :D

Aloiza [94]3 years ago
5 0
The midpoint of the given points are (8,-2)
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<h3>2 Answers: </h3><h3>Choice B) Shift down</h3><h3>Choice C) Shift right</h3>

===================================================

Explanation:

Start with the point (-2,-4). Let's try to move it to (2, -9)

To do so, we need to shift down and to the right (in either order).

Specifically we shift 4 units to the right to go from x=-2 to x=4

Note how x=-2 moves to x+4 = -2+4 = 2

Also, we shift 5 units down. We have y = -4 turn into y = -9 as shown below

y ---> y-5 = -4-5 = -9

So the translation rule is (x,y) \to (x+4,y-5)

Let's see what happens when we apply the translation rule to (2,4)

(x,y) \to (x+4, y-5)\\\\(2,4) \to (2+4, 4-5)\\\\(2,4) \to (6, -1)\\\\

which is the other endpoint of the blue segment. This shows that the translation rule works for (2,4) to move to (6,-1)

We do not apply any dilations. The red and blue segments are the same length because translations preserve distance. All we're effectively doing is moving the red segment to land on the blue segment. This means no vertical or horizontal stretches are done. The same can be said about compressions as well.

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2 years ago
Jalen is buying a new car. He has the options below.
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Find the volume of this cylinder. Please help
algol13

Answer:

\boxed {\boxed {\sf 384 \ ft^3}}

Step-by-step explanation:

The volume is the space an object occupies. The volume formula for a cylinder is provided and it is:

V= \pi r^2 h

Where:

  • r= radius
  • h= height

The radius is the distance from the center of the circle to the edge, and it is 4 feet. The height is 8 feet. We are told to use 3 for pi.

  • r= 4 ft
  • h= 8 ft
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Substitute the values into the formula.

V= (3)(4 \ ft)^2 (8 \ ft)

Solve the exponent.

  • (4 ft)²= 4 ft * 4 ft = 16 ft²

V= (3)(16 \ ft^2)(8 \ ft)

Multiply the three numbers together.

V= 48 \ ft^2 (8 \ ft)

V= 384 \ ft^3

The volume of the cylinder is approximately <u>384 cubic feet.</u>

8 0
2 years ago
Solve for x.
xz_007 [3.2K]

Answer:

\displaystyle -2,66 ≈ x\:or\:0,66 ≈ x

Step-by-step explanation:

All work is shown above.

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3 years ago
A football team lost five yards on each of two consecutive plays. Find the total change in yardage.
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Answer:

The change is a loss of 10 yards, so -10 yards.

Step-by-step explanation:

The total change in yardage after 2 plays is the sum of the yardage of each play.

What lost yardage means?

Lost yardage means negative yardage.

Imagine that in a Buffalo Bills game, Devin Singletary lost 2 yards on his first carry. So his total yardage is -2.

If in the next carry he gets 3 yards, his total yardage is 1. If he loses 1, his total yardage is -3.

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So the first play counts for -5 yards.

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Loss of 5 yards.

So the second play counts for -5 yards.

Total

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The change is a loss of 10 yards, so -10 yards.

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