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yarga [219]
2 years ago
12

Find the midpoint of the line segment with the endpoints (10,2) and (-6,-6)

Mathematics
2 answers:
slega [8]2 years ago
8 0

Answer:

(2,-2)

Step-by-step explanation:

Using the midpoint formula:

m=\left( \dfrac{10-6}{2},\dfrac{2-6}{2} \right)=\left( \dfrac{4}{2}, \dfrac{-4}{2}\right)=(2,-2)

Hope this helps!

Fudgin [204]2 years ago
5 0

Answer:

The midpoint is (2,-2)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates together and divide by 2

(10+-6)/2 = 4/2 =2

To find the y coordinate of the midpoint, add the y coordinates together and divide by 2

(2+-6)/2 = -4/2 =-2

The midpoint is (2,-2)

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Which of these is it ?..
sveta [45]

Answer:

D) all of the above

Step-by-step explanation:

If a line bisects another line, that means the length of the lines are equal

The lines are perpendicular because angle APR is 90 degrees

If the lines are perpendicular, then angle RPB is 90 degrees

4 0
3 years ago
Which of the following ratios has the same ratio value as 4:6? <br> 5:10<br> 4:12<br> 6:9<br> 4:16
erma4kov [3.2K]
The answer is 6:9 because 4:6' equivalent is 2:3, which is the same as 6:9 
7 0
3 years ago
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86m long and 64m wide. F
KIM [24]

To solve this problem, we have to find the area of the semi circles and the area of the rectangle and add them up together.

The area of the field is equal to 8719.36m^2

<h3>Area of the Field</h3>

Let us start by finding the area of the rectangle.

Data;

  • width = 86m
  • length = 64m

Area of a rectangle is given as

a = length * width \\a = 86 * 64\\a = 5504m^2\\

The area of the rectangle is 5504m^2

Area of the semicircle

The formula of a semi circle is given as

A = \frac{1}{2} \pi r^2

But since we have two semi circles here, we can simply multiply it by two and the formula becomes

A = 2 * \frac{1}{2} \pi r^2\\A = \pi r^2

But in the question, we have the diameter of the semi circle as the length of the rectangle.

radius = \frac{diameter}{2} \\radius = \frac{64}{2} \\radius = 32m

The radius of the semicircle is 32m

Area of the semicircle is

A = \pi r^2\\A = 3.14 * 32^2\\A = 3215.36m^2

The area of the field is

area of field = 3215.36 + 5504\\area = 8719.36m^2

The area of the field is equal to 8719.36m^2

Learn more on area of rectangle and semi circle here;

brainly.com/question/2906652

#SPJ1

7 0
2 years ago
The function f(x) is a cubic function and the zeros of f(x) are -3, -2, and 1. The y-intercept of f(x) is -24. Write the equatio
Serga [27]

Answer:

f(x) = 4x³+16x²+4x-24

Step-by-step explanation:

Factors are (x+3)(x+2)(x-1)

(x+3)(x²+2x-x-2)

(x+3)(x²+x-2)

x³+x²-2x+3x²+3x-6

x³+4x²+x-6

This could have been the function but the intetcept is 6 here.

So we'll take a miltiple of this one such that the intercept becomes-24

-24/-6 = 4

That multiple is 4

f(x) = 4(x³+4x²+x-6)

f(x) = 4x³+16x²+4x-24

7 0
2 years ago
1. un numar se mareste cu 4 iar rezultatul se mareste de 4 ori. noul rezultat micsorat cu 4 se imparte la 4 si se obtine 4.aflat
Marat540 [252]

Răspuns:

1

Explicație pas cu pas:

Fie numărul = x

x + 4 = e - - (1)

e * 4 = f - - - (2)

Ecuația 2 - 4 împărțită la 4 = 4

(f - 4) / 4 = 4

Crucea se înmulțește

f - 4 = 16

f = 16 + 4

f = 20

Rezultatul 1 împărțit la 4 este egal cu 4

Prin urmare,

e = f / 4

f = 20

e = 20/4

e = 5

De la (1)

x + 4 = e

x + 4 = 5

x = 5 - 4

x = 1

7 0
3 years ago
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