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Nadusha1986 [10]
3 years ago
7

What are the factors of the expression (y-2(x+3

Mathematics
1 answer:
adell [148]3 years ago
5 0

y-2x-6 would be this expression factored


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I need the answer for this exact question
denis23 [38]

Answer:

y=\frac{7}{2}x-20

Step-by-step explanation:

Let the equation of the line be y-y_1=m(x-x_1) where, 'm' is its slope and (x_1,y_1) is a point on it.

Given:

The equation of a known line is:

y=-\frac{2}{7}x+9

A point on the unknown line is:

(x_1,y_1)=(4,-6)

Both the lines are perpendicular to each other.

Now, the slope of the known line is given by the coefficient of 'x'. Therefore, the slope of the known line is m_1=-\frac{2}{7}

When two lines are perpendicular, the product of their slopes is equal to -1.

Therefore,

m\cdot m_1=-1\\m=-\frac{1}{m_1}\\m=-\frac{1}{\frac{-2}{7} }=\frac{7}{2}

Therefore, the equation of the unknown line is determined by plugging in all the given values. This gives,

y-(-6))=\frac{7}{2}(x-4)\\y+6=\frac{7}{2}x-14\\y=\frac{7}{2}x-14-6\\\\y=\frac{7}{2}x-20

The equation of a line perpendicular to the given line and passing through (4, -6) is y=\frac{7}{2}x-20.

3 0
3 years ago
12=10(s+4)+50 what is the written problem to this can you help me with the answer
muminat

Answer:

s = -7.8

Step-by-step explanation:

from the question 12=10(s+4)+50

<u>first step</u>

open the bracket and evaluate for the value of s

12=10(s+4)+50

12 = 10s + 40 + 50

12 = 10s + 90

collect or combine the like terms

12-90 = 10s

-78 = 10s

divide both side by 10

-78/10 = 10s/10

-7.8 = s

therefor s = -7.8

8 0
3 years ago
Write four different expressions for the perimeter of a pentagon whose sides are all s-2 units long?
Masteriza [31]

Hey there!

1. 5(s-2) This is because s-2 is the length of each side, and there are 5 sides in a pentagon all of that length, so multiplying it by 5 like this shows its perimeter.

2. 5s-10 This can be found by distributing the first equation, multiplying both s and -2 by 5.

3. (s-2) + (s-2) + (s-2) + (s-2) + (s-2) Each grouping in the parenthesis represents each of the 5 sides, so adding them all together will get you the perimeter.

4. 5(s) + 5(-2) This one is most like the first one, except it's a little more spread out. Multiply the term s by the 5 sides in one grouping, and the integer -2 by 5 in the other.

Hope this helps!

4 0
2 years ago
A data set includes the following test scores: 75, 82, 84, 62, 78. The score on a retake test is 96. It the retake score replace
Vera_Pavlovna [14]

Answer:

B the mean increases by 6.8

8 0
3 years ago
Shelly biked 21 miles in 4 hours. What is Shelly's average speed in miles per hour? At that same rate how many hours will it tak
Vedmedyk [2.9K]

So, we need to do the distance she travelled (21 miles) divided by the rate at which she travelled (4 hours). Therefore, because 21 divided by 4 is 5.25, she biked at a speed of 5.25 mph (Miles per hour). So, if she bikes 5.25 miles every hour we can divide 42 by 5.25 to get the time it would take her to travel 42 miles. Now, 42 divided by 5.25 equals 8, so that means for Shelly to bike 42 miles at her average speed of 5.25 mph, it would take her 8 hours.

5 0
3 years ago
Read 2 more answers
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