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masya89 [10]
3 years ago
10

Work out the equation of the line which has a gradient of 12 and

Mathematics
1 answer:
IrinaVladis [17]3 years ago
4 0

Step-by-step explanation:

Equation of line in slope point form is given as:

y - y_1 = m(x - x_1) \\  \therefore \: y - ( - 2) = 12(x - 4) \\  \therefore \: y  +  2 = 12x - 48 \\ \therefore \: 12x - y - 48 - 2 = 0 \\ \therefore \: 12x - y - 50 = 0 \\ which \: is \: the \: equation \:  of \: \: required \:\\line.

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4 years ago
If y varies directly as x and y = 8 when x = 4, what is the value of y when x = 16? a. 32 b. 16 c. 64 d. 28
ddd [48]

By finding the proportional relation between x and y, we will see that when x = 16, we have y = 32.

<h3>How to get the value of y when x = 16?</h3>

If y varies directly with x, then we can write the relation as:

y = k*x

Where k is the constant of proportionality.

First, we know that when x = 4, we have y = 8, replacing that we get:

8 = k*4

Solving for k, we get:

k = 8/4 = 2.

Then the relation between x and y is:

y = 2*x

When x = 16, we have:

y = 2*16 = 32

Then the correct option is a.

If you want to learn more about proportional relations:

brainly.com/question/12242745

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Step-by-step explanation:

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-----40 POINTS--------
andrey2020 [161]

Proof

Provide the missing reasons for the proof of part of the triangle midsegment theorem.

Given: K is the midpoint of MJ.

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The complete answer is attached in the diagram below.

The complete answer for the missing reasons is attached below in the diagram.

Please check the figure.

Keywords: statement, proof, reason

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