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WITCHER [35]
3 years ago
7

Simplify to create an equivalent expression −5(3p+3)+9(−7+p)

Mathematics
2 answers:
Sati [7]3 years ago
8 0

Answer:

-5(3p +3 ) + 9(-7 +p)

=15p +15 -63+9p

=15p+9p+ 15-63

= 24p-48

= 6(4p - 8)

Step-by-step explanation:

son4ous [18]3 years ago
4 0

Answer: -6p - 78

Step-by-step explanation:

-5 (3p + 3) + 9(-7 + p)

-15p -15 - 63 + 9p

-6p-78

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3 years ago
Assume the following triangles are similar. Find the scale factor and the lengths of the missing sides.
Elanso [62]

Answer:

If two figures are similar, then the correspondent sides are related by a constant factor.

For example, if the base of one side of one of the figures has a length L, then the correspondent side of the other figure has a length k*L where k is the scale factor.

Let's start with the two left triangles.

In the smaller one the base is 5, and the base of the other triangle is 15.

Then we will have:

15 = k*5

15/5 = k = 3

The scale factor is 3.

Then we will have that:

a = scale factor times the correspondent side in the smaller triangle:

a = k*3 = 3*3 = 9

a = 9

For the other two triangles, the base of the smaller triangle is 12, while the base of the larger triangle is 20.

Then we will have the relation:

12*k = 20

k = (20/12) = 10/6 = 5/3

The scale factor is 5/3

This means that the unknown side b is given by:

b*(5/3) = 15

b = (3/5)*15 = 3*3 = 9

b = 9.

5 0
3 years ago
In 2000, the median household income was $41,990. In 2010, it was $49,445. (Source: www.census.gov.)
pochemuha

The average rate of change in the median household income over this time period is $745.5

<h3>What is the average rate of change in the median household income over this time period?</h3>

The given parameters are:

2000, the median household income was $41,990.

2010, it was $49,445.

The average rate of change in the median household income over this time period is calculated as:

Average rate of change = (Difference in Income)/(Difference in years)

So, we have:

Average rate of change = (41990 - 49445)/(2000-2010)

Evaluate

Average rate of change = 745.5

Hence, the average rate of change in the median household income over this time period is $745.5

Read more about average rate of change at

brainly.com/question/8728504

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4 0
2 years ago
Find the coordinates of point T
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Answer:

T= (2, 0)

Step-by-step explanation:

(2,0)  + (4, 4) = (6, 4)

(6, 4) + (4, 4) = (10, 8)

6 0
3 years ago
Which cell structure is the outermost layer of a plant cell that is made mostly of cellulose?
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B cell wall HOPE IT HELPSSS
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