Answer:
(-4, -8)
Step-by-step explanation:
Use the substitution method. x = -4, so y = (1/2)x - 6 becomes:
y = (1/2)(-4) - 6, or y = -2 - 6, or y = -8.
The solution is (-4, -8).
Answer:
P is complementary to x
Step-by-step explanation:
Complementary means adding to 90 degrees
P+x = 90 degrees
So P is complementary to x
Answer:
70
Step-by-step explanation:
We have the final part 4x/40 = 7. We can simplify this to x/10 = 7 by dividing the numerator and the denominator by 4. We then multiply both sides by 10 to get x = 70
An ellipse (oval shape) is expressed by the following equation:

where h is the x coordinate of the center and k is the y coordinate of the center. Furthermore, a is the horizontal distance from the center, and b is the vertical distance from the center. Lastly, c is the distance from the center to one of the foci (they are spaced apart equally).
We can find the foci by using

36 - 11 =


Since the k value in this case is 0, the y value of both foci are 0. Also, since h and k are both 0, we know the center of the ellipse is at the origin.
So the foci are (-5, 0) and (5, 0)
Hope this helps :)
Answer:
n = 12
Step-by-step explanation:
4/6 = 8/n
4n = 48
n = 12