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fredd [130]
2 years ago
5

write the equation of the line, in standard form, that is perpendicular to y=3x-2 and passes through (-7,2)

Mathematics
1 answer:
34kurt2 years ago
8 0

Answer:

x+3y=-1

Step-by-step explanation:

y=3x-2 so m=3 old slope

the new slope must be -1/3 (opposite reciprocal of the old slope).

y-y0=m*(x-x0)

y-2=-1/3*(x-(-7))

y-2=-1/3x-1/3*7

y-2=-1/3x-7/3

3y-6=-x-7

The standard form for linear equations in two variables is Ax+By=C.

x+3y=6-7

x+3y=-1

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Rewrite each equation in slope-intercept form, if necessary. Then determine whether the lines are parallel. Explain,
Oksana_A [137]
Answer:
d

Step-by-step explanation:

Slope intercept form: y = mx + b

y = -x + 7
x + y = 21

x + y = 21
-x -x
y = -x + 21


y = -x + 7
y = -x + 21

Parallel lines have the same slope. Here, our slope is -1

Therefore, our final answer is d.


Hope this helps!
8 0
2 years ago
7x - 20 = 2x - 3(3x + 2)
kirill [66]

Answer:

7x-20=2x-3(3x+2)

We move all terms to the left:

7x-20-(2x-3(3x+2))=0

We calculate terms in parentheses: -(2x-3(3x+2)), so:

2x-3(3x+2)

We multiply parentheses

2x-9x-6

We add all the numbers together, and all the variables

-7x-6

Back to the equation:

-(-7x-6)

We get rid of parentheses

7x+7x+6-20=0

We add all the numbers together, and all the variables

14x-14=0

We move all terms containing x to the left, all other terms to the right

14x=14

x=14/14

x=1

   

   

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
It was 4:00 P.M. when John started mowing the lawn and it took him 50 minutes to finish. What time did John finish mowing the la
Oksi-84 [34.3K]

Answer:

4:50 P.M.

Step-by-step explanation:

Sorry I don't know how to properly explain it but I just added 50 minutes to 4 o' clock to get the answer.

Hope this helps!

Maybe brainliest?

7 0
2 years ago
Read 2 more answers
20. What is the equation of the line that passes through the points (–2, 2) and (0, 5)? A. y = x + 5 B. y = x – 5 C. y = –3/2x +
Vanyuwa [196]

y=mx+b

first find the y intercept or b or x=0

b=5

now find the slope

y²-y¹/x²-x¹--> 5-2/0-(-2)

m=3/2

the equation is D. y=3/2x+5

3 0
3 years ago
Terday. Priya successfully made 6 free throws. Today, she made 75% as
tatuchka [14]

Answer:

10

Step-by-step explanation:

Yesterday, Priya successfully made 6 free throws.

Today, she made 75% as many as yesterday.

We are asked to calculate the number of successful free throws that Priya made today.

So, the number will be 6 (1 + \frac{75}{100} ) = 10.5.

Since it is the number of successful free throws, so it will be 10 throws. ( Answer )  

4 0
3 years ago
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