Plsss help..............
2 answers:
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Answer:
Point-slope form of equation given as .
Slope-intercept form of equation is given as .
Step-by-step explanation:
In the question, it is given that the slope of a line is -2 and it passes from (-2,2).
It is asked to write the point-slope form of the equation and rewrite it as slope-intercept form.
To do so, first find the values which are given in the question and put it in the formula of point-slope form. Simplify the equation to rewrite as slope-intercept form.
Step 1 of 2
Passing point of the line is (-2,2).
Hence, and
Also, the slope of the line is -2.
Hence, m=-2
Substitute the above values in point-slope form of equation given by
Hence, point-slope form of equation given as y-2=-2(x+2).
Step 2 of 2
Solve y-2=-2(x+2) to write it as slope-intercept form given by y=mx+c.
Hence, slope-intercept form of equation is given as y=-2x-2.
Question 1:
This is a 45-45-90 right triangle. If the leg length is
, then the hypotenuse length will be 
.
The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get
. Thus, the last choice is your answer.
Question 2:
This triangle can be identified as a 30-60-90 right triangle.
Let's say the smallest leg as a length of.
Then, the longer leg will have a length of
.
Also, the hypotenuse will have a length of
This triangle follows this format, making it a 30-60-90 right triangle. Thus, the angles are 30, 60, and 90.
Hope this helps! :)
This is a 45-45-90 right triangle. If the leg length is
The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get
Question 2:
This triangle can be identified as a 30-60-90 right triangle.
Let's say the smallest leg as a length of
Then, the longer leg will have a length of
Also, the hypotenuse will have a length of
This triangle follows this format, making it a 30-60-90 right triangle. Thus, the angles are 30, 60, and 90.
Hope this helps! :)