This is the way you solve it
Equation of an ellipse:
(x-h)²/a² + (y-k)²/b² = 1
Since it passes through the origin (0,0) , then h = k = 0 hence the equation:
(x-0)²/a² + (y-0)²/b² = 1
x²/a² + y²/b² = 1
2a = major axis = 2.|5| + |-5| = 10. then a = 5 and a² = 25
2b = minor axis = 2.|3| + |-3| = 6. then b = 3 and b² = 9
Then the final equation is:
x²/25 + y²/9 = 1
Answer:
5. 40
7. 12
8. 52
Step-by-step explanation:
Find midpoint of segment.
(-1,1), (7,-5)

Find slope of line which passes through (-1,1) and (7,-5).

The slope of perpendicular line is negative reciprocal value of m.

Write quation of line which slope is

and passes throug the point (3,-2).
Answer:
see below
Step-by-step explanation:
If (x+5) is a factor of p(x), then the value x=-5 will make that factor be zero. The product p(x) of which it is a part will also be zero, so p(-5) = 0.
Since p(-5) = 0 at x=-5, there will be an x-intercept at x=-5.
Dividing something by a factor of that thing will always give a remainder of zero. So, p(x)/(x+5) has a remainder of 0.