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3 years ago

PLEASE HELP!!!

Mathematics

1 answer:

Alenkinab [10]3 years ago

7 0

Answer:

y=-3/2x+3

Step-by-step explanation:

The equation for slope intercept form is y=mx+b. The variable m stands for slope, and b stands for the y-intercept.

First, since there's an easy y-intercept to find, we can start from there! The line goes right across the y-axis at 3. 3 is the y-intercept. The equation looks like this now:

y=(?)x+3

Next, find the slope. The easiest way to do this is to look at the points the line goes straight through. These would be (0,3) and (2,0). Slope is written rise over run. If you look at the graph, from the point (2,0), you can find the next point, (0,3), by rising 3 and going over (running) -2, which is actually going backwards. So, as a fraction, the slope is - $\frac{3}{2}$ .

Another way to find slope is to find two points on the line. We can use the same points we used above again. To find slope with the two points, subtract the y's and then subtract the x's in the same order. Subtract the y's over the x's.

0-3=-3 As you can see, we still got the slope as - $\frac{3}{2}$ .

2-0 2

When we plug in all of the numbers, the equation looks like this: y=-3/2x+3

I hope this helps you out!! Have a great day (*^▽^*)

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Answer question 11 and 12

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Answer:

11. y = -2x - 4.

12. y = x - 5

Step-by-step explanation:

11. the given points on the line are ((-2, 0) and (0, -4)

The slope of the line

= difference in y values / corresponding difference in x values

= ( - 4 - 0) / 0 - (-2))

= -4 / 2

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12.

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Answer:

Step-by-step explanation:

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So for question one (about the equilateral triangle), you know any triangle equals 180 degrees. So an equilateral triangle has all equal angles, so 180/3 would equal 60 degrees for each angle.

Now for the first triangle out of the three isosceles.

You should know that there are two equal sides and one side that is not equal in a isosceles triangle.

So if one side is 34 degrees, and the other two are equal, then you first subtract 34 degrees from 180 degrees, because again, all triangles have 180 degrees. So 180-34 would equal to 146 degrees left. Now you divide 146 by two, because the other two angles are equal to each other. So 146/2 = 73 degrees for each of the remaining angles.

For the second triangle out of the three isosceles.

First, let's just calculate half of the triangle first. You already know two angles, 30 and 90 degrees (hence the 90 degree symbol).

So 30 + 90 would equal 120 degrees in total out of 180 degrees (because 1 triangle = 180 degrees).

So if you subtract 180-120 or 120 + ? = 180 to know the remaining angle of the half of the triangle, you would get 60 degrees left. And that also goes with the other side of the top angle of the entire triangle, so your answer for the second one would be 60 degrees. :-)

For the third triangle out of the three isosceles.

You know one angle is 75 degrees.

If you turn your screen a little bit (like about 90 degrees) to the left, you would see that two sides (with the x degree in the middle) is equal. So then know you know the other side of the triangle would also be 75 degrees, because one side that is equal has 75 degrees.

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So obviously again, 180 degrees is the total amount of degrees in a triangle, and you want to know the last degree that would make the triangle equal to 180 degrees out of 150 degrees, so 180-150 or 150 + ? = 180, which gives you 30 degrees for x for the third isosceles triangle.

try doing the fourth one by yourself lol

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