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evablogger [386]

3 years ago

10

Find the slope: y = -X – 1

2 answers:

gogolik [260]3 years ago

3 0

Answer:

The slope would be -x

Step-by-step explanation:

The second number in the equations y=mx+b is always the slope unless you have to plug in number and do all kinds of stuff but that's not whats in the problem now.

Tasya [4]3 years ago

3 0

Answer:
-1

Explanation:
This question is written in slope-intercept form, which is this equation: y=mx+b. Here’s what each of the variables mean:

Y=the y axis
M=the slope
X=the x axis
B=the point on the line that intercepts the y axis (the y-intercept)

And we can compare y=mx+b to y=-x-1 to see what value is in place of the “m” variable to find the slope.

y=mx+b
y=-x-1

It’s not really clear until we rewrite y=-x-1 to y=-1x-1:

y=mx+b
y=-1x-1

We can see that -1 is in place of the m variable, concluding that the slope is equal to -1.

I hope this helps! Please comment if you have any questions.

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If the measure of arc CB is 8/3 units, what is the measure of CAB?

Oksanka [162]

Question:

If the measure of arc CB is $\frac{8}{3} \pi$ units, what is the measure of ∠CAB?

Answer:

120°

Step-by-step explanation:

The figure has been attached to this response.

The figure shows a circle centered at A and has a radius of 4 units.

Also, the length of the arc CB (as given in the question) is $\frac{8}{3} \pi$ units.

The length <em>L </em>of an arc is given by;

L = $\frac{\beta }{360} * 2\pi * r$ -----------------(i)

Where;

β = angle subtended by the arc at the center of the circle and measured in degrees

r = radius of the circle

From the question;

β = ∠CAB

r = 4 units

L = $\frac{8}{3} \pi$

<em>Substitute these values into equation (i) as follows;</em>

$\frac{8}{3} \pi$ = $\frac{\beta }{360} * 2\pi * 4$

=> $\frac{8}{3} \pi$ = $\frac{\beta }{360} * 8\pi$

<em>Cancel 8</em> $\pi$ <em> on both sides</em>

$\frac{1}{3}$ = $\frac{\beta }{360}$

<em>Cross multiply</em>

3 x β = 360 x 1

3β = 360

<em>Divide both sides by 3</em>

<em /> $\frac{3\beta }{3} = \frac{360}{3}$ <em />

β = 120°

Therefore, the measure of ∠CAB is 120°

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3 years ago