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Viefleur [7K]
3 years ago
11

What is an equation for the line perpendicular to y = 3x – 1 that passes through (-9, -2)?

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
3 0

Answer:

  • y = -1/3x - 5

Step-by-step explanation:

<u>Perpendicular lines have negative reciprocal slopes, so the line is:</u>

  • y = -1/3x + b

<u>Finding the value of b, using the given point (-9, -2)</u>

  • -2 = -1/3*(-9) + b
  • -2 = 3 + b
  • b = -2 - 3
  • b = -5

<u>The line is</u>

  • y = -1/3x - 5
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(1 + 7m)(4) what is it simplified
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Answer
4+21m
Explanation
Use the distributive property 4 times 1 and 4 times 7m keep the m
4 0
2 years ago
1) Eduardo has five friends, Alfalfa, Bernie, Corey, Dominik, and Elsa He is going to select two of them to go
Bumek [7]

Answer: he can make 3 groups of 2 first group him and Alfalfa second group Bernie and Corey the third group Dominik and Elsa.

Step-by-step explanation:

7 0
2 years ago
9n - 15 for n = 5 help me please
MaRussiya [10]

If n = 5, then 9n = 45

45 - 15 = 30, which is the same thing as 6n


7 0
3 years ago
15. Before oil is added to a certain road surface material, the other ingredients are mixed. The mixture contains
mojhsa [17]

Answer:

sand = 3450 pounds

3/4 inch stones =6750 pounds

1 inch stones =4800 pounds.

Step-by-step explanation:

The mixture composition is :

45% three-quarter inch stones

32% inch stones and

sand for balance

The percent here is by mass of material used.

Weight of mixture is 15,000 pounds before oil addition.

Use the percent by weight for the two types of stones and calculate real values in pounds

Formula to apply is:

Mass percent = (mass of a material/ total mass of mixture) * 100

For 3/4 inch stones it will be:

0.45= \frac{x}{15000} *100\\\\0.45=\frac{x}{150} \\0.45*150=x\\x=6750

The 3/4 inch stones weigh 6750 pounds

The 1 inch stones will be

32/100 * 15000 =4800

The 1 inch stones weigh = 4800 pounds

Total for the two items : 4800+6750 =11550 pounds

The sand used weighs : 15000 - 11550 = 3450 pounds

8 0
3 years ago
The sum of two numbers is 40 and their difference is 6.5, what is their product? show work please
Finger [1]
Let b>a, 

a+b=40 so we can say a=40-b

We are told that b-a=6.5, using a found above in the equation gives us:

b-(40-b)=6.5

b-40+b=6.5

2b-40=6.5

2b=46.5

b=23.25, and since  a=40-b

a=40-23.25

a=16.75

So a=16.75 and b=23.25

check...

16.75+23.25=40, 40=40

23.25-16.75=6.5, 6.5=6.5

4 0
2 years ago
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