# Point A is at (-6,5) and point M is at (-1.5, -1).Point M is the midpoint of point A and point B.What are the coordinates of point B?

Step-by-step explanation: just took the khan academy quiz! hope you do well loves <3

To find the coordinates of point B, we first apply the midpoint formula, with point M as the midpoint and point A given. Solving for point B's coordinates we find they are (3, -7).

### Explanation:

In order to find the coordinates of point B, we need to use the midpoint formula. The midpoint M of two points A (x1, y1) and B (x2, y2) is given as:

M = [(x1 + x2)/2 , (y1 + y2)/2].

Given that the midpoint M is (-1.5, -1) and point A is (-6,5), we can use the midpoint formula to calculate the coordinates of point B by rearranging the formula to solve for x2 and y2 (the coordinates of point B):

x2 = 2*xm - x1, y2 = 2*ym - y1.

Plugging in known values, the x-coordinate of point B (x2) = 2*-1.5 - (-6) = 3 and the y-coordinate of point B (y2) = 2*-1 - 5 = -7.

So, the coordinates of point B are (3, -7).

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## Related Questions

The opening prices per share Y1 and Y2 of two similar stocks are independent random variables, each with a density function given by

NOENHailey bought a 9 ft piece of ribbon that she will out into 2/3 ft long pieces. How many 2/3 ft pieces con Hailey aut?

13

Step-by-step explanation:

9/(2/3) = 27/2 = 13.5

The music you hear when listening to a magnetic cassette tape is the result of the magnetic tape passing over magnetic heads, which read the magnetic information on the tape. The length of time a tape will play depends on the length of the tape and the operating speed of the tape player. The formula is T = L S , where T is the time in seconds, L is the length of the tape in inches, and S is the operating speed in inches per second. How long a tape does a police officer need to record a 3-minute confession at an operating speed of 4 1 2 inches per second?

Using the given formula T = LS

And given the time is 3 minutes (3 x 60 = 180 seconds)and the speed is 4-1/2 inches per second:

180 = L x 4-1/2

Solve for L by dividing both sides by 4-1/2:

L = 180 / 4-1/2

L = 40

The length should be 40 inches.

2. Suppose the measures of the interior angles of a convex octagon are eightnumbers, each separated by a value of 1 degree from its neighbors. Find
the measure of the second smallest angle.
118°
131°
132.5°
142°
None of these answers are correct.

### Answer:  132.5 degrees  (choice C)

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Explanation:

The interior angles are consecutive numbers such as 1,2,3,... or 7,8,9... and so on. The gap between any two adjacent neighbors is 1.

For any polygon with n sides, the interior angles add up to 180(n-2)

We have n = 8 sides so the interior angles sum to 180(n-2) = 180(8-2) = 1080 degrees.

Any octagon has its interior angles add up to 1080 degrees.

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Let x be the smallest angle. The next angle up is x+1. After that is x+2 and so on until we reach x+7 as the 8th angle.

Add up those 8 angles, set the sum equal to 1080 and solve for x

x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)+(x+6)+(x+7) = 1080

8x+28 = 1080

8x = 1080-28

8x = 1052

x = 1052/8

x = 131.5

This is the smallest angle. The next angle up or the second smallest angle is x+1 = 131.5+1 = 132.5 degrees  (choice C)

a tree needs to be stake with four wires, each wire is attached to the trunk 6 feet above the ground, and then anchored to the ground 8 feet from the base of the tree. How many feet of the wire is needed for 5 trees???

89

Step-by-step explanation:

Solve this equation
3x+6=-2-2x

x = -8/5

x = -1.6

Step-by-step explanation:

3x+6=-2-2x

3x+2x+6=-2-2x+2x

5x+6 = -2x

Subtract 6 from each side

5x+6-6 = -2-6

5x= -8

Divide each side by 5

5x/5 = -8/5

x = -8/5

x = -1.6