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saw5 [17]
2 years ago
11

Find the equation of the line.

Mathematics
1 answer:
zhuklara [117]2 years ago
3 0

Answer:

y=-1/3x-2

Step-by-step explanation:

First off, lets outline that parallel lines have the <u>Same Slope</u>. So we can plug in -1/3 as our slope, or m.

Lets plug in -1/3 as our slope in Point Slope form to find the y intercept. Point slope form should be attached in an image below.

1) Plug slope and points into point slope form:

y+1=-1/3(x+3)

2) Distribute -1/3 to x and 3:

y+1=-1/3x-1

3) Subtract 1 from both sides:

y=-1/3x-2

Now we have our answer is slope intercept form!

Please let me know if you have any questions :)

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Which lines are perpendicular?<br> A) A and B<br> B) A and C<br> C) B and C<br> D) A and D
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Answer:

B) A and C

Step-by-step explanation:

A and C are negative reciprocals of each other.

4 0
3 years ago
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Kayla squared a number x and added this result to -6.5. This gave her an answer of 42.5.
ladessa [460]

Answer:

7, -7

Step-by-step explanation:

x^2-6.5= 42.5 add 6.5 to both sides

x^2= 49

The square root of 49 is 7 and -7.

7 0
2 years ago
Evaluate 3xy²-y³ for x=-1 and y=2.<br><br>help.​
yanalaym [24]
The answer to this problem is -20
7 0
2 years ago
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The Boy Scouts self popcorn Ethan sold 9 small
NARA [144]

Answer:

The cost of 1 small bag of popcorn = $2.95

The cost of 1 large bag of popcorn   = $4.75

Step-by-step explanation:

Here, let us assume the cost of 1 small bag of popcorn = $ m

And,  the cost of 1 large bag of popcorn = $ n

So, the cost of 9 small bag = 9 x ( cost of 1 small bag)  = 9 x (m) = 9 m

and  the cost of 2 large bag = 2 x ( cost of 1 large bag)  = 2 x (n) = 2 n

Also, cost of 9 small + 2 large bag of popcorn sold by  Ethan for   $ 36.05 .

⇒ Total cost of 9 small + 2 large bag of popcorn =  9 m + 2 n

⇒ 9  m +  2 n =  $ 36.05  ..........  (1)

Also, the cost of 5 small bag = 5 x ( cost of 1 small bag)  = 5 m

and  the cost of 7 large bag = 7 x ( cost of 1 large bag)  = 7 n

Also, cost of 5 small + 7 large bag of popcorn sold by  Jack for   $ 48 .

⇒ Total cost of 5 small + 7 large bag of popcorn =  5 m + 7 n

⇒ 5 m +  7 n =  $ 48 ..........  (2)

Now, solving (1) and (2) for the values of m and n , we get

9  m +  2 n =   36.05

5 m +  7 n =  48

Multiply (1) with (-7) and (2) by 2 , add both equation we get:

-63 m - 14 n  + 10 m + 14 n =  -252.35 + 96

or, - 53 m = -156.35

or, m =   2.95

Now, put the value of m in (1), we get:  5 ( 2.95) + 7 n =  48

or, n =  33.25 /7 = 4.75

Hence the cost of 1 small bag of popcorn = $2.95

The cost of 1 large bag  = $4.75

6 0
3 years ago
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Given the graph below, locate the points of the reflection over the x-axis.
Zinaida [17]

Answer:

A: (1,3)

A': (1,-3)

---

B: (5,1)

B': (5,-1)

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C: (-2,2)

C': (-2,-2)

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D: (-5,4)

D': (-5,-4)

Hope it helps, sorry I was late; just got around to this lesson.

6 0
2 years ago
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