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Serga [27]
4 years ago
12

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

Mathematics
1 answer:
kvasek [131]4 years ago
4 0

Answer: LAST OPTION.

Step-by-step explanation:

For this exercise you need to use the following formula to find the midpoint:

M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Given these points:

(-8, 5)\ and\ (2, -2)

You can identify that:

x_1=-8\\x_2=2\\y_1=5\\y_2=-2

Then, knowing these values, you can substitute them into the formula shown before:

M=(\frac{-8+2}{2},\frac{5+(-2)}{2})

Evaluating, you get that the midpoint is:

M=(-3,1.5)

This matches with the last option.

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Write the equation of a line perpendicular to y=1/2x + 8 that passes through ( 4, 9 ). ​
iogann1982 [59]

Answer:y = - 2x + 17

Step-by-step explanation:

The equation of a line, represented in the slope-intercept form, is

y = mx + c

Where

Slope = m

c = intercept

Looking at the equation given,

y=1/2x + 8

Slope,m = 1/2

If a line is perpendicular to a another line, then the slope of one line is equal to the negative reciprocal of the other line. It means that the slope of the perpendicular line that passes through that passes through ( 4, 9 ) will be -2

To determine c,

We will substitute m = -2, y = 9 and x = 4 into the slope intercept equation,

y = mx + c. It becomes

9 = -2 × 4 + c

9 = -8 + c

c = 9 + 8 = 17

The equation becomes

y = - 2x + 17

4 0
3 years ago
If kite ABCD is reflected across the x axis what are the results coordinates of point a
GenaCL600 [577]

Answer:

(-x,y)

Step-by-step explanation:

The x coordinate changes while the y stays the same when reflected across the x axis.

4 0
3 years ago
A student wrote the matrix below to represent the solution to a system of equations.
Doss [256]

Answer:

Option A is correct.

Step-by-step explanation:

The following matrix represent the augmented matrix

In augmented matrix the left side represent the co-efficient of the variables and right side represent the value of variables.

Since the matrix has been solved and reduced so, the solution of variables x, y and z is written on right side of augmented matrix

The given matrix is:

\left[\begin{array}{cccc}1&0&5&-2\\0&0&3&0\\0&0&0&-1\end{array}\right]

Since the last row is all zero and we have a non zero entry for the solution, the matrix is inconsistent.

As the variables have zero values, there cannot be any solution

So, there is no solution.

So, Option A is correct.

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3 years ago
Please help Geometry!!?
galben [10]
I believe D, but I am unfamiliar with this particular terminology
3 0
3 years ago
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Scilla [17]
Let c represent the number of children Mama has. The number of notebooks she has is
.. 13c +8 = 15c
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Mama has 4 children and 60 notebooks.
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3 years ago
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