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max2010maxim [7]
2 years ago
10

Find the midpoint M of the line segment joining the points P = (-8, 3) and Q = (-2, -7).

Mathematics
1 answer:
Gnom [1K]2 years ago
7 0

Answer:

Step-by-step explanation:

Let (x,y) be midpoint of P(3,4) & Q(5,−2)

Midpoint formula for two points (a,b) and (c,d) is

(x,y) =(

2

a+c

​

,

2

b+d

​

).

x=

2

3+5

​

=4

y=

2

4−2

​

=1

∴   (x,y)=(4,1)

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Vitek1552 [10]

Answer:

Circle B:

(x+4)^2+(y+3)^2=4

Circle F:

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Step-by-step explanation:

We can write the equation of a circle equation with center on (h,k) and radius r as:

(x-h)^2+(y-k)^2=r^2

Then, we analyze the circle will have for the circle B:

- It has a center in x=-4 and y=-3.

- It radius can be calculated from the distance from the center (x,y)=(-4,-3) to one of its points (x,y)=(-4, -1). Then, its radius is r=2.

Then, we can write the equation as:

(x-h)^2+(y-k)^2=r^2\\\\h=-4\\k=-3\\r=2\\\\(x+4)^2+(y+3)^2=4

we analyze the circle will have for the circle F:

- It has a center in x=4 and y=1.

- It radius can be calculated from the distance from the center (x,y)=(4, 1) to one of its points (x,y)=(0, 1). Then, its radius is r=4.

Then, we can write the equation as:

(x-h)^2+(y-k)^2=r^2\\\\h=4\\k=1\\r=4\\\\(x-4)^2+(y-1)^2=16

7 0
4 years ago
Solve the inequality.2/5 ≥ w -3/5 A. w ≤1/2 B. w ≤ 1 C. w ≥ 1 D. w ≤1/5
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3 years ago
Helo me out with this question ????
Ann [662]

Answer:

Congruent

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Carol Ann buys a TV at 70% off the original price. If she pays $120, what was the original price of the TV?
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