Mathematics, 11.10.2020 01:01 sophie5064

HELP 1) midpoint of R(4,1) and (-1,6)
2) find the coordinate of the midpoint of the segment with the given endpoints; -3 and 8
3) find the midpoint; (-9,3) and (-3,4)
4) find the coordinates of the other endpoint of the segment given its midpoint and one endpoint, apply the midpoint formula and solve the two equations for x and y; midpoint (-9,-7), endpoint (-1,-12)
5) find the coordinates of the other endpoint of the segment given its midpoint and one endpoint, apply the midpoint formula and solve the two equations for x and y; midpoint (-11,-10) endpoint (-14,-13)

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Answer from: genyjoannerubiera

1) ( $-\frac{5}{2}$ , $\frac{5}{2}$ )

2) 5

3) ( 2, $\frac{1}{2}$ )

4) (17, 2)

5) (8, 7)

Step-by-step explanation:

No. 1

You can use the midpoint formula: $\frac{ChangeInX}{2} ,\frac{ChangeInY}{2}$

So, the Change In X is: -1 - 4 = -5

And the Change in Y is: 6 - 1 = 5

Once you divide both of the changes by 2, you get

X: $-\frac{5}{2}$

Y: $\frac{5}{2}$

So the midpoint is: ( $-\frac{5}{2}$ , $\frac{5}{2}$ )

_________________________________________________________

No. 2

You can just find the middle of the two numbers. You could honestly just count it on your fingers if you wanted.

8 - 3 = 5

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No. 3

You can use the midpoint formula: $\frac{ChangeInX}{2} ,\frac{ChangeInY}{2}$

So, the Change In X is: -3 - (-9) = 6

And the Change in Y is: 4 - 3 = 1

Once you divide both of the changes by 2, you get

X: 2

Y: $\frac{1}{2}$

So the midpoint is: ( 2, $\frac{1}{2}$ )

__________________________________________________________

No. 4

You can use the midpoint formula: $\frac{ChangeInX}{2} ,\frac{ChangeInY}{2}$

So, the Change in X is: -1 - X

And the Change in Y is: -12 - Y

Once you divide both of the changes by 2, you get

X: $\frac{-1-X}{2} = -9$

-1 - X = -18

-X = -17

X = 17

Y: $\frac{-12-Y}{2} = -7$

-12 - Y = -14

-Y = -2

Y = 2

So the endpoint is: (17, 2)

__________________________________________________________

No. 5

You can use the midpoint formula: $\frac{ChangeInX}{2} ,\frac{ChangeInY}{2}$

So, the Change in X is: -14 - X

And the Change in Y is: -13 - Y

Once you divide both of the changes by 2, you get

X: $\frac{-14-X}{2}=-11$

-14 - X = -22

-X = -8

X = 8

Y: $\frac{-13-Y}{2} =-10$

-13 - Y = -20

-Y = -7

Y = 7

So the endpoint is: (8, 7)

Answer from: Quest

Hello!

the answer is:

the correct option:

b. $x=2.23$

why?

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

$7^{x}=77$

then, using placing logarith with base 7 on both sides of the equation, we have:

$7^{x}=77log_{7}(7^{x})=log_{7}(77)x=log_{7}(77)x=2.2322$

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

$x=2.23$

hence, we have that the correct option:

b. $x=2.23$

have a nice day!

Answer from: Quest

lo98765432wqasdfghjkloi87654567890

step-by-step explanation:

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HELP 1) midpoint of R(4,1) and (-1,6)
2) find the coordinate of the midpoint of the segment...

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