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Sonja [21]
3 years ago
6

What is the midpoint between (-8, 5) and (2, -2)?

Mathematics
2 answers:
liraira [26]3 years ago
7 0
The midpoint is (-6,2)
antoniya [11.8K]3 years ago
3 0
the midpoint is (-3, 1.5)
You might be interested in
A quadrilateral has vertices at A(-5,5), B(1,8), C(4,2), and D(-2,-2). Use slope to determine if the quadrilateral is a rectangl
AysviL [449]

Answer:

The quadrilateral is not a rectangle

Step-by-step explanation:

we know that

If a quadrilateral ABCD is a rectangle

then

Opposite sides are congruent and parallel and adjacent sides are perpendicular

Remember that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

A(-5,5), B(1,8), C(4,2), and D(-2,-2)

Plot the figure to better understand the problem

see the attached figure

Find the slope of the four sides and then compare

step 1

Find slope AB

A(-5,5), B(1,8)

substitute in the formula

m=\frac{8-5}{1+5}

m=\frac{3}{6}

m_A_B=\frac{1}{2}

step 2

Find slope BC

B(1,8), C(4,2)

substitute in the formula

m=\frac{2-8}{4-1}

m=\frac{-6}{3}

m_B_C=-2

step 3

Find slope CD

C(4,2), and D(-2,-2)

substitute in the formula

m=\frac{-2-2}{-2-4}

m=\frac{-4}{-6}

m_C_D=\frac{2}{3}

step 4

Find slope AD

A(-5,5), D(-2,-2)

substitute in the formula

m=\frac{-2-5}{-2+5}

m=\frac{-7}{3}

m_A_D=-\frac{7}{3}

step 5

Verify if the opposites are parallel

Remember that

If two lines are parallel, then their slopes are the same

The opposite sides are

AB and CD

BC and AD

we have

m_A_B=\frac{1}{2}

m_C_D=\frac{2}{3}

so

m_A_B \neq m_C_D

It is not necessary to continue verifying, because two of the opposite sides are not parallel

therefore

The quadrilateral is not a rectangle

4 0
3 years ago
Find the volume of the solid. The volume of the solid is ____ cubic centimeters
Illusion [34]
Is there a picture ?
6 0
3 years ago
PLEASE HELP ME FOR BRAINLIEST
icang [17]

Answer:

x = 3.873 units

or x = \sqrt{15} units

Step-by-step explanation:

Hypotenuse = 4  ,  x = height of this isosceles triangle.

base is 2,

so Use Pythagorean Theorem.

x^2 + 1^2 = 4^2

x^2 =  4^2 - 1^2

x^2 = 16 - 1 = 15

x = root(15) =

4 0
3 years ago
In Image:
iris [78.8K]

Answer:

The answer to your question is          x ≠ -10   x ≠ 2     x ≠ -2

Solution                                                \frac{(x- 8)(x + 2)}{(x + 8)(x - 2)}      

Step-by-step explanation:

Process

1.- Factor all the polynomials

              \frac{x^{2} -3x - 40}{x^{2} + 8x - 20} / \frac{x^{2}+ 13x + 40}{x^{2}+ 12x + 20} = \frac{(x-8)(x + 5)}{(x + 10)(x- 2)} / \frac{(x+ 8)(x + 5)}{(x + 10)(x + 2)}

2.- Invert the second term

                                             = \frac{(x- 8)(x + 5)}{(x +10)(x - 2)}  \frac{(x+ 10)(x + 2)}{(x + 8)(x +5)}

3.- Simplify

                                              = \frac{(x- 8)(x + 2)}{(x + 8)(x - 2)}

4.- x must be different to

            x ≠ -10   x ≠ 2     x ≠ -2

This values are from the factor expressions and then equal to zero.

8 0
3 years ago
Solve the inequality for c.<br> .<br> Simplify your answer as much as possible.
krek1111 [17]

Answer:

w


Step-by-step explanation:

Solving the inequality for w, we do algebra manipulation, we get:

5w-22>-4(2-3w)\\5w-22>-8+12w\\-22+8>12w-5w\\-14>7w\\\frac{-14}{7}>w\\-2>w

Which means w is LESS THAN -2


Writing this with the variable to the left side:

w

This is the correct answer.


5 0
3 years ago
Read 2 more answers
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