Answer:
y = 3x + 5
Step-by-step explanation:
1) First, find the slope between the pair of points. Use the slope formula 
. Substitute the x and y values of points A and B into the formula and simplify:
So, the slope is 3.
2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.
3) Using slope-intercept format, represented by the equation 
, write the equation of the line. Remember that the number in place of 
, or the coefficient of the x-term, is the slope. So, substitute 3 for . Also, remember that 
represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:
Just apply the Pythagoras Theorem,
LN² = LM² + MN²
LN² = 7² + 8²
LN² = 49 + 64
LN = √113
In short, Your Answer would be: Option D
Hope this helps!
Answer:
(2, 9 )
Step-by-step explanation:
A translation of 4 units left is equivalent to subtracting 4 from the value of the x- coordinate, that is
(6, 9 ) → (6 - 4, 9 ) → (2, 9 )
lol, there are three.
Step-by-step explanation:
thanks for the points I guess.
According to the information given, the ramp would be 50 feet high. (However, that seems really high. Did you type your problem correctly?)
If you draw a picture, you will see that you can set up a cosine ratio to solve this problem. With a 30 degree angle of depression, the angle we are going to use 60 degrees.
We can set up the following equation:
cos(60) = x / 100
0.5 = x / 100
50 = x
