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3 years ago

Write in y=mx+b form

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

6 0

Answer:

y = -2/3x

Step-by-step explanation:

To write in y=mx+b form, you need the y-intercept (b) and the slope (m).

The y-intercept is the point the line crosses the y-axis. This line crosses the y-axis of (0, 0). This makes the y-intercept equal to 0.

The slope is the rise of the line over the run of the line. Pick two points from the line. It doesn't matter which ones, you will get the right answer regardless.

I picked (0, 0) and (-3, 2). Subtract the x-values from each other, and subtract the y-values from each other.

-3 - 0 = -3 (x)

2 - 0 = 2 (y)

Divide the y by the x to find the slope.

2/-3 = -2/3

Plug in the slope and y-intercept into the equation.

y = mx + b

y = -2/3x + 0

y = -2/3x

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Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.

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Answer:

Part 1) $c=21.9\ units$

Part 2) $B=61.1\°$

Part 3) $A=28.9\°$

Part 4) $C=90\°$

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$

substitute the given values

$c^{2}=10.6^{2}+19.2^{2}$

$c^{2}=481$

$c=21.9\ units$

step 2

Fin the measure of angle B

we know that

In the right triangle

$tan(B)=b/a$

substitute the given values

$tan(B)=19.2/10.6$

$B=arctan(19.2/10.6)=61.1\°$

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

$B=61.1\°$

$C=90\°$

substitute

$A+61.1\°+90\°=180\°$

$A=28.9\°$

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Black_prince [1.1K]

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Answer:

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Step-by-step explanation:

Add 2 and collect terms

3n = 18

Divide by 3

n = 6

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