SOLUTION: 1.write an equation in standard form for the ellipse shown with center (0,0) , focus (0,6) co-vertex(0,-10). 2. The area of a rectangle is equal to x^2 +7x +10 square units. if

Question 972473: 1.write an equation in standard form for the ellipse shown with center (0,0) , focus (0,6) co-vertex(0,-10).
2. The area of a rectangle is equal to x^2 +7x +10 square units. if the length of the rectangle is equal to x+5 units, what expression represents its width?

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
1.write an equation in standard form for the ellipse shown with center (0,0) , focus (0,6) co-vertex(0,-10).Given ellipse has a vertical major axis. (Note: focus and co-vertices cannot both be on the vertical major axis. I will assume you meant the co-vertex coordinates given are instead those of the vertex.)
Its standard form of equation: , a>b, (h,k)=coordinates of center
center:(0,0)
a=10
a^2=100
c=6
c^2=36
c^2=a^2-b^2
b^2=a^2-c^2=100-36=64
equation:
2. The area of a rectangle is equal to x^2 +7x +10 square units. if the length of the rectangle is equal to x+5 units, what expression represents its width?

What expression represents its width? (x+2)
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