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Serga [27]
2 years ago
6

A line with a slope of 8 passes through the points (-1,1) and (0,k). What is the value of k?

Mathematics
1 answer:
Diano4ka-milaya [45]2 years ago
3 0

Answer:

k = 9

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 8

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 1, 1) and (x₂, y₂ ) = (0, k)

m = \frac{k-1}{0+1} = k - 1 = 8 ( add 1 to both sides )

k = 9

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If ABC=DEF and m <E= 2(m-15)° find m​
Lostsunrise [7]
<h3>Answer:  m = 25</h3>

====================================================

Work Shown:

Triangle ABC is congruent to triangle DEF. The order of the lettering is important because it tells us how the angles pair up. We see that angle B and angle E are the second letters of ABC and DEF respectively. Because the triangles are congruent, this leads to angle B = angle E.

Angle B is shown to be 20 degrees, so,

angle E = angle B

2(m-15) = 20

m-15 = 20/2

m-15 = 10

m = 10+15

m = 25

------------------

A slightly alternative way to solve:

2(m-15) = 20

2m-30 = 20

2m = 20+30

2m = 50

m = 50/2

m = 25

------------------

Checking the answer:

2(m-15) = 20

2(25-15) = 20

2(10) = 20

20 = 20

We get the same thing on both sides, so we end up with a true equation. This means the first equation is true when m = 25. The solution has been confirmed.

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2 years ago
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Romashka-Z-Leto [24]
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-5x+y=6<br> -3x+6y=-12<br> Solving systems of equations by substitution
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then if you subtract 36 from both sides you would get -3x+30x=-48 then combine like terms to get 27x=-48 then divide both sides by 27 to get x=\frac{-48}{27} or x≈1.8

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Answer:

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