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Julli [10]
2 years ago
10

Write an expression for the area of the shaded region in its simplest form. show all of your steps

Mathematics
1 answer:
Ierofanga [76]2 years ago
3 0
The answer is x² + 23x + 49

The area (A) of the shaded region is the difference between the area of the rectangle (A1) and the white square (A2).
A = A1 - A2

A1 = (x + 10)(2x + 5)
    = 2x² + 5x + 20x + 50
    = 2x² + 25x + 50
A2 = (x +1 )² = x² + 2x + 1

A = A1 - A2
    = 2x² + 25x + 50 - (x² + 2x + 1)
    = 2x² + 25x + 50 - x² - 2x - 1
    = x² + 23x + 49
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The following data values represent a population. What is the variance of the values? 7, 5, 11, 1, 11
MaRussiya [10]
The mean is 35/5=7

The variance is the average of the sum of squared differences of each element from the mean:

v=((7-7)^2+(5-7)^2+(11-7)^2+(1-7)^2+(11-7)^2)/5

v=(0+4+16+36+16)/5

v=14.4
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2 years ago
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An election ballot asks voters to select four city commissioners from a group of eight candidates. In how many ways can this be​
saul85 [17]
The number of combinations of the 8 candidates taken 4 at a time is:
8C4=\frac{8!}{4!4!}=70\ ways
6 0
3 years ago
The following table represents a linear function. What is the slope?
AlexFokin [52]

Answer:

C. 3

Step-by-step explanation:

To find slope you take one (y) and subtract another (y) then divide that by an (x) minus the other (x) so

8-5/2-1

3/1.

The slope is 3

8 0
2 years ago
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A.) name the solutions for the quadratic function graphed
vladimir2022 [97]
(0, -5) and (0, 3)
Is the answer to question 1 
and i think that -4 is the answer to question 2
6 0
2 years ago
Help please!!! Everything is in the picture.
Valentin [98]

Answer:

3u-2v = \sqrt{505\\}

5u-v = \sqrt{1,157}

2u-3v = \sqrt{1,300}

u+4v = \sqrt{4,505}

Step-by-step explanation:

I just started by doing the results for each of the operations given.

<u>3u-2v:</u>

3u = (-9, 24)       2v = (-28, 12)

Do the operation of 3u-2v and you get a resultant vector of (19, 12).

You calculate this by doing the square root of 19^2 + 12^2, which is the square root of 505.

<u>5u-v:</u>

5u = (-15, 40)       v = (-14, 6)

Do the operation of 5u-v and you get a resultant vector of (-1, 34).

You calculate this by doing the square root of (-1)^2 + 34^2, which is the square root of 1,157.

<u>2u-3v:</u>

2u = (-6, 16)   3v = (-42, 18)

Do the operation of 2u-3v and you get a resultant vector of (36, -2).

You calculate this by doing the square root of 36^2 + (-2)^2, which is the square root of 1,300.

<u>3u+2v:</u>

3u = (-9, 24)       2v = (-28, 12)

Do the operation of 3u+2v and you get a resultant vector of (-37, 36).

You calculate this by doing the square root of (-37)^2 + 36^2, which is the square root of 2,665. This is not a given tile, so we can just ignore this one.

<u>u+4v:</u>

u = (-3, 8)       4v = (-56, 24)

Do the operation of u+4v and you get a resultant vector of (-59, 32).

You calculate this by doing the square root of (-59)^2 + 32^2, which is the square root of 4,505.

Since this is a given tile, I didn't do 7u-2v, but you would use the same methodology.

7 0
2 years ago
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