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wel
3 years ago
6

WILL GIVE BRAINLIEST

Mathematics
1 answer:
Nonamiya [84]3 years ago
4 0

9514 1404 393

Answer:

  a)  M(2,2), B(4, -2), D(0, 6)

  b)  40

Step-by-step explanation:

a) The midpoint of AC is the average of the endpoint coordinates.

  M = (A +C)/2

  M = ((-2, 0) +(6, 4))/2 = (4, 4)/2

  M = (2, 2)

There are several ways to find points B and D. One of them is to rotate points A and C 90° about M. The 90° CCW rotation transformation about the origin is ...

  (x, y) ⇒ (-y, x)

About the point (2, 2), the transformation would be ...

  (x, y) ⇒ (-(y -2)+2, (x -2)+2) = (4 -y, x)

Rotating point A 90° to get point B, we have ...

  B = (4 -0, -2)

  B = (4, -2)

And rotating C to get point D, we have ...

  D = (4 -4, 6)

  D = (0, 6)

__

b) The area of the square is half the square of the diagonal. The square of the diagonal can be found using the distance formula ...

  d² = AC² = (6-(-2))² +(4 -0)² = 64 +16 = 80

Then the area is ...

  area = AC²/2 = 80/2

  area = 40 . . . . square units

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vagabundo [1.1K]

Answer:

answer is 5.3

Step-by-step explanation:

just easy

7 0
3 years ago
A rowing team rowed 90 miles while going with the current in the same amount of time as it took to row 10 miles going against th
lys-0071 [83]

Answer:   
 let x=rate of the rowing team in still water 
 x+4=rate of the rowing team with current 
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 .. 
 90%2F%28x%2B4%29=10%2F%28x-4%29 
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4 0
3 years ago
An angle with measure of 71° is bisect at what angle?​
Korolek [52]

Answer:

A

Step-by-step explanation: just divide 71 into 2 which gives you 35.5 making a your answer.

6 0
3 years ago
500ml bottle unit cost is $2.10
borishaifa [10]
If you would like to know what is the unit price for the hair shampoo, you can calculate this using the following steps:

500 ml ... $2.10
100 ml ...$x = ?

500 * x = 2.10 * 100    /500
x = 2.10 * 100 / 500
x = $0.42

The unit price for the hair shampoo is $0.42.
3 0
3 years ago
Emily drew a scale drawing of a house and its lot. The back patio is 42 millimeters long in the drawing. The actual patio is 27
kirill [66]

the scale factor used in Emily scale drawing is K = 1.63 mm/m

<h3>What scale did Emily use?</h3>

We know that Emily drew a scale drawing of a house and its lot.

In the scale drawing, the back patio is 42 millimeters long, and we know that the actual patio is 27 meters long.

Then the scale relates the measures 44mm and 27 meters, such that if the scale is K, we can write:

K*27m = 44mm

Solving for K, we can write:

K = (44/27) mm/m = 1.63 mm/m

So the scale factor used in Emily's scale drawing is K = 1.63 mm/m

If you want to learn more about scale factors:

brainly.com/question/25722260

#SPJ1

5 0
1 year ago
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