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Hitman42 [59]
3 years ago
5

A line passes through (-6,-1) and (3,2).What is the equation of the line?

Mathematics
2 answers:
nevsk [136]3 years ago
5 0

Answer:

y= \frac{1}{3}x+1

Step-by-step explanation:

Lina20 [59]3 years ago
3 0

Answer:

y = (1/3)x + 1

Step-by-step explanation:

You first find the slope:

(2 - (-1))/(3 - (-6)) =

3/9 =

1/3

This means the equation of the line is y = (1/3)x + b, where b is a real number.

Plug in either of the points to find the value of b:

-1 = (1/3)(-6) + b -->

-1 = -2 +b -->

1 = b

This means the equation is y = (1/3)x + 1

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The value of x.

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

\longrightarrow{\green{x\:=\: 25° }} 

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

We know that,

\sf\purple{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}

➪ 125° + x + 30° = 180°

➪ x + 155° = 180°

➪ x = 180° - 155°

➪ x = 25°

Therefore, the value of x is 25°.

Now, the three angles of the triangle are 125°, 25° and 30°.

\large\mathfrak{{\pmb{\underline{\pink{To\:verify}}{\pink{:}}}}}

✒ 125° + 25° + 30° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

\boxed{Hence\:verified.}

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3 0
2 years ago
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What's the algebraic expression for this phrase: <br> the quotient of 100 and the quantity 6 plus w
leonid [27]
100/6 + w would be correct answer I think.
3 0
3 years ago
Halp me :&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;​
lisabon 2012 [21]

Answer:

4^2+2^2, 5^2, 6^2-6

Step-by-step explanation:

4 to the power of 2 is 16 and 2 to the power of 2 is 4. 16+4 is 20.

5 to the power of 2 is 25 which is greater than 20.

6 to the power of 2 is 36 minus 6 is 30 which is greater than 25 and 20.

7 0
3 years ago
Mrs. Swanson gives out only one type of candy for Halloween. The local
xxTIMURxx [149]

Answer:

Cost of  18 pounds candy  = $22.5

Cost of 10 pounds candy = $12.5

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Step-by-step explanation:

6 pounds of butterscotch candies cost  $7.50

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Now, we need to find the cost of 18 pounds of candy:

as, the cost of 6 pounds candy = $7.50

⇔   Cost of 6 x 3 =  18 pounds candy =  $7.50 x  3 = $22.5

Cost of 10 pounds candy =  10 x (Cost of 1 pound candy)

= 10 x ($1.25)  = $12.5

The unit rate for butterscotch candies   = Cost of 1 pound of candies

= $1.25

8 0
3 years ago
Use the graph to estimate the solution of the system. x + 2y = 5, –x + 3y = 6 Which integers is the x-value between? What is the
sasho [114]

Answer:

1. 0 and 1

2. about 0.6

3. 2 and 3

4. about 2.2

Step-by-step explanation:

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