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3 years ago

Plot the vertices (-2, -8), (-2, 2), and (8, 2).

Mathematics

2 answers:

charle [14.2K]3 years ago

5 0

Answer:

(8, -8)
100 square units

Step-by-step explanation:

The diagonals of a rectangle have the same midpoint, so for points A, B, C, D, we must have ...

(A+C)/2 = (B+D)/2

D = A + C - B

D = (-2, -8) +(8, 2) -(-2, 2) = (-2+8+2, -8+2-2)

D = (8, -8)

The side lengths are 2-(-8) = 10, and 8-(-2) = 10. The area is the product of the side lengths, so is 10×10 = 100 square units.

_____

<em>Comment on side lengths</em>

When the end points of one side are on the same vertical line, the length of that side is the difference of y-coordinates. When the points lie on the same horizontal line, the side length is the difference of x-coordinates.

o-na [289]3 years ago

5 0

Answer:

the last vertex is (8,-8)

the area of the rectangle is 100 square units

Step-by-step explanation:

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What is the length of ac?<br> Someone please answer this fast!

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Answer:

use the laws of sines

Step-by-step explanation:

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8 0

2 years ago

How many different 5-letter radio station call letters can be made a. if the first letter must be Upper C comma Upper X comma U

Lady_Fox [76]

Answer:

a) 1,518,000

b) 2,284,880

c) 60,720

Step-by-step explanation:

a) a. if the first letter must be Upper C comma Upper X comma Upper T comma or Upper M and no letter may be repeated?

We draw 5 boxes, and based on that we will see the total possible cases. There are 26 alphabets

The first box should have C or X or T or M .No letter may be repeated.

Any Any Any Any Any

5 alphabets of the of the of the of the

C,X , T , M remaining remaining remaining remaining

25 alphabets 24 alphabets 23 alphabets 22 alphabets

Therefore; total possible call letters = 5 × 25 × 24 × 23 × 22 = 1,518,000

The first box should have C or X or T or M Repeats as allowed

Any Any Any Any Any

5 alphabets of the of the of the of the

C,X , T , M remaining remaining remaining remaining

26 alphabets 26 alphabets 26 alphabets 26 alphabets

Therefore Total possible call letters = 5 × 26 × 26 × 26 × 26 = 2,284,880

c) The first box should have C,X , T , M and end with S

So the last place if fixed, and we now have 25 alphabets. The first box can go in 5 ways. The next box then will have only 24 letters to choose from, as the first box has taken a letter and the last box already has S in it. Repetition not allowed

Any Any Any Any S

5 alphabets of the of the of the is fixed

C,X , T , M remaining remaining remaining here

24 alphabets 23 alphabets 22 alphabets

Therefore Total possible call letters = 5 × 24 × 23 × 22 × 1 = 60,720

3 0

3 years ago

The diameter of a quarter is 2.5 cm. What is it’s circumference?

anastassius [24]

Answer:

7.85 cm

Step-by-step explanation: