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3 years ago

The midpoint of AB is M(3,1).If the coordinates of A are (8,4) what are the coordinates of B

Mathematics

1 answer:

gulaghasi [49]3 years ago

4 0

Answer:

The coordinates of B are (-2 , 9)

Step-by-step explanation:

A (8, 4)

M (3 , -1)

To calculate a midpoint you have to add the corresponding coordinates of each point and divide them by 2

(Ax + Bx) / 2 = Mx

(8 + Bx) / 2 = 3

8 + Bx = 3 * 2

Bx = 6 - 8

Bx = -2

(Ay + By) / 2 = My

( -1 + By) / 2 = 4

-1 + By = 4 * 2

By = 8 + 1

By = 9

The coordinates of B are (-2 , 9)

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What is the area of the polygon? Show your work.

koban [17]

Answer:

33 square units

Step-by-step explanation:

Assuming that each line on this grid increases by a value of one, the area of the polygon can be determined by breaking it down into a large rectangle and two smaller triangles.

<h3>Area of the rectangle</h3>

The area of a rectangle is simply $A = bh$ , where b represents the base and h represents the height.

Counting the size of each side, we can determine that they are 6 units for the base and 4 units for the height.

Substituting in the values, we get:

$A = (6)(4)\\A = 24$

The area of the rectangle is 24 square units

<h3>Area of the triangles</h3>

The area of a triangle is simply $A = \frac{1}{2} bh$ .

The base of each triangle is 3, and the height of each triangle is also 3.

Substituting in the values, we get:

$A = \frac{1}{2} (3)(3)\\A = \frac{1}{2} (9)\\A = 9 / 2\\A = 4.5$

The area of each triangle is 4.5 square units

<h3>Area of the polygon</h3>

To get the area of the polygon, we simply add up the area of the rectangle and both triangles

$A = 24 + 4.5 + 4.5\\A = 24 + 9\\A = 33$

The total area of the polygon is 33 square units.

3 0

2 years ago

Keira types 80 words in 2 minutes. Enter the number of words Keira types in 3 minutes at this rate.

Lerok [7]

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1 year ago

H(t)=-16t*2+16t=480 need help

Black_prince [1.1K]

I do not need any snarky remarks from you. I was trying to help. FOR EXAMPLE what am I solving for? Y intercept, X intercept. You don't get to get angry with me because I'm asking a simple question girl.

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3 years ago

A manufacturer makes bags of popcorn and bags of potato chips. The average weight of a bag of popcorn is supposed to be 3.05 oun

Jobisdone [24]

Answer:

The popcorn bag assembly line is closer to the specifications given because its z-score is closer to the standard mean than the potato chip bag assembly line.

Step-by-step explanation:

z- score for pop corn

average weight for a pop corn bag=3.05

Standard deviation for a pop corn bag=0.04

z=x-mean/standard deviation

z=3.03-3.05/0.04

z=-0.5

z- score for potato chips

average weight for a potato chips bag=5.01

Standard deviation for a potato chips bag=0.05

z=x-mean/standard deviation

z=5.07-5.01/0.05

z=1.2

As z-score for pop corn bag -0.5 is closer to standard mean i.e. 0 than the z-score for potato chips bag, so,

The popcorn bag assembly line is closer to the specifications given because its z-score is closer to the standard mean than the potato chip bag assembly line.

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3 years ago

HELP!!!!!!!!!! AP CALCULUS AB

raketka [301]

Answer:

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