Please help with this

Part A: Plot the points A(-8,7) and B(6,-9). Mark the halfway point on AB and label it point M. What are the coordinates of M? P

vredina [299]

Answer:

a. $M(x,y) = (-1,-1)$

b. $D(-4,-9)$

Step-by-step explanation:

Given

A(-8,7) and B(6,-9).

Solving (a):

Determine the Midpoint M;

This is calculated as follows;

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

Where

$(x_1,y_1) = (-8,7)$

$(x_2,y_2) = (6,-9)$

Substitute these values in the formula

$M(x,y) = (\frac{-8+6}{2},\frac{7-9}{2})$

$M(x,y) = (\frac{-2}{2},\frac{-2}{2})$

$M(x,y) = (-1,-1)$

<em>Hence; the midpoint is (-1,-1)</em>

Solving (a):

Here, we have

C = (2,7)

M; Midpoint = (-1,-1)

Required: Determine D

This is calculated as follows;

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

Where

$(x_1,y_1) = (2,7)$

$(x,y) = (-1,-1)$

Substitute these values in the formula

$(-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})$

Solving for x2

$-1 = \frac{2 + x_2}{2}$

Multiply both sides by 2

$-2 = 2 + x_2$

Subtract 2 from both sides

$x_2 = -2 - 2$

$x_2 = -4$

Solving for y2

$-1 = \frac{7 + y_2}{2}$

Multiply both sides by 2

$-2 = 7 + y_2$

Subtract 7 from both sides

$y_2 = -2 - 7$

$y_2 = -9$

Hence, the coordinates of D is

$D(-4,-9)$

7 0

4 years ago

Can sumone help me?

Anna [14]

Answer:

Quadrant 1 is the top right side. Quadrant 2 is top left. Quuadrant 3 is bottom left. Quadrant 4 is bottom right.

Step-by-step explanation:

<h3>You must mark the number on the quadrants starting by the middle is the axis (0). Then you count from 1 to how ever much the quadrants end. There the y axis and the x. Those are the lines that seperate the 4 quadrants. Quadrant 1 is both postive #. quadrant 2 is a negative number and a postive. depending on how the x and y are. the X axis is spostive the y is negative. Point A is (10,4) and its quadrant is 4. You must count all the boxes which go all the way up to 10. You must start in the center then either go up for Y or down. Go right or left for X. B is -8,9</h3><h3></h3><h3>I hope this helped. It took me a long time. </h3>

3 0

3 years ago

Please answer it now in two minutes

borishaifa [10]

Answer:

cot B = 48/55

Step-by-step explanation:

cot B = 48/55

3 0

3 years ago

FInd the solution for 4(x - 5)=2(x - 10) +2x

crimeas [40]

Hello!

You solve this like an algebraic equation

You first distribute the 4 and 2

4x - 20 = 2x - 20 + 2x

Combine like terms

4x - 20 = 4x - 20

subtract 4x from both sides

-20 = 0x - 20

Add 20 to both sides

0 = 0

This means that there are infinite solutions to the equation.

Hope this helps!

3 0

4 years ago

Read 2 more answers

Please help me with this problem

Alexus [3.1K]

(a) It is leaking 18 liters per minute.

Explanation : From 15 minutes to 20 minutes, your starting point at 15 is 590 liters and at 20 you have exactly 500. Next you have 25 which is now at 410. So it's leaking 90 liters every five minutes, so of course dividing the two (90 ÷ 5) you get 18.

(a)² it increases for about the same time that it would decrease of course.

(b) The vat started at 860 liters before they started draining it.

Explanation : Well, all it takes is just working backwards, add 90 liters to the liters at 15 minutes and deduct five minutes from 15. Do this process until you arrive at 0. It's simple

7 0

4 years ago