Let point C has coordinates
Consider vectors

Since the ratio AB to BC is 1:4, you have that

Find
and 

Answer: C(4,-6)
Step-by-step explanation:
f(x) = x² - 4
y = x²-4
x = y²-4
x + 4 = y²

Answer:
d =
Step-by-step explanation:
1) To solve for d, isolate it in the equation. So, to get rid of the
with the d, add
to both sides.

Thus, d =
.
Refer to the attached image.
Given:
and measure of exterior angle at C =
.
We have to determine the measure of angle B and angle BCA.
By applying exterior angle property of the triangle which states:
"An exterior angle of a triangle is equal to the sum of the opposite interior angles".
So, exterior angle C = 


Now, applying angle sum property in triangle ABC which states:
"The sum of all the angles of a triangle is 180 degrees".





Therefore, the measure of
and
.
Since it forms a "right triangle" we can apply trigonometry.
sin x = oppo/hyp
sin x = 13/20
x = sin^-1(13/20)
x = sin^-1(0.65)
x = 40.5
rounded to nearest degree
x = 41 degrees
Hope this helps! :)