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3 years ago

Someone please help me on this

Mathematics

1 answer:

Naddik [55]3 years ago

6 0

Answer:

y = 25x - 50

Step-by-step explanation:

Given points (-4, -150) and (0, -50):

We can use these points to solve for the slope of the line using the following slope formula:

m = (y2 - y1)/(x2 - x1)

Let (x1, y1) = (-4, -150)

(x2, y2) = (0, -50) ← this is your y-intercept.

Substitute these values into the equation:

m = (y2 - y1)/(x2 - x1)

m = [-50 - (-150)] / [0 - (-4)]

m = (-50 + 150) / (0 + 4)

m = 100/4

m = 25

Therefore, the slope of the line is 25.

Next, we need to identify the y-intercept. As noted earlier, the coordinates (0, -50) is the y-intercept. The y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

So for (0, -50), we'll use its y-coordinate for the value of the y-intercept, b = -50.

Now that we have our slope, m = 25, and y-intercept, b = -50:

The equation of the line in slope-intercept form is:

y = 25x - 50

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3 years ago

If m∠a=47°, what is m∠b, m∠c, and m∠d? Explain how you know the measures are correct.

avanturin [10]

m ∠b = 133°, m ∠c = 47°, and m ∠d = 133°.

<h3>Further explanation</h3>

Follow the attached picture. I sincerely hope that's precisely a correct illustration.

We will use a graph of two intersecting straight lines.

Note that m ∠a and m ∠c are vertical angles. Since vertical angles share the same measures, in other words always congruent, we see $\boxed{ \ m \ \angle{c} = m \ \angle{a} \ } \rightarrow \boxed{\boxed{ \ m \ \angle{c} = 47^0 \ }}$

We continue to determine m ∠b and m ∠d.

Note that m ∠b and m ∠d represent supplementary angles. Recall that supplementary angles add up to 180°.

Let us see the following steps.

$\boxed{ \ m \ \angle{a} + m \ \angle{b} = 180^0. \ }$

$\boxed{ \ m \ 47^0 + m \ \angle{b} = 180^0. \ }$

Both sides subtracted by 47°.

$\boxed{ \ m \ \angle{b} = 180^0 - 47^0. \ }$

Thus $\boxed{\boxed{ \ m \ \angle{b} = 133^0. \ }}$

Finally, note that m ∠b and m ∠d are vertical angles. Accordingly, $\boxed{ \ m \ \angle{d} = m \ \angle{b} \ } \rightarrow \boxed{\boxed{ \ m \ \angle{d} = 133^0 \ }}$

Conclusion:

m ∠a = 47°
m ∠b = 133°
m ∠c = 47°
m ∠d = 133°

Notes:

Supplementary angles are two angles when they add up to 180°. $\boxed{ \ example: \angle{a} + \angle{b} = 180^0 \ }$
Vertical angles are the angles opposite each other when two lines cross. Note that vertical angles are always congruent, or of equal measure. $\boxed{ \ example: \angle{a} = \angle{c} \ }$

<h3>Learn more</h3>

About the measure of the central angle brainly.com/question/2115496
Undefined terms needed to define angles brainly.com/question/3717797
Find out the measures of the two angles in a right triangle brainly.com/question/4302397

Keywords: m∠a = 47°, m∠b, m∠c, and m∠d, 133°, vertical angles, supplementary, 180°, congruent