Answer:
12
Step-by-step explanation:
Answer:
The height is 5 and the base is 9
Step-by-step explanation:
The area of a parallelogram is given by
A = bh
45 =x(x+4)
Distribute
45 =x^2+4x
Subtract 45 from each side
45-45 =x^2 +4x-45
0 = x^2 +4x-45
Factor
What two numbers multiply to -45 and add to 4
9+-5 = -45
9-5 =4
0=(x+9) (x-5)
Using the zero product property
0= x+9 0 = x-5
x=-9 x=5
Since length cannot be negative
x=5 is the solution
x=5
x+4 = 5+4 =9
Answer:
Kobby is 1 and Nana is 6
Step-by-step explanation:
lets mark Kobby's present age x, than Nana's present age would be x+5.
four years later Kobby's age would be x+4, and Nana's x+5+4, or 2(x+4).
so
x+5+4=2x+8
x-2x=8-5-4
-x=-1
x=1
Answer:

Step-by-step explanation:
We know that the foci lies on the major axis, so it should lie on the x - axis. Additionally the center is the midpoint of the line joining the foci, at (0,0).
Now remember we have our foci at the point (0, ± 3). Our major axis length is 10, so if covers 5 units on either side of the x - axis. Therefore, c = 3, and a = 5. But remember that c is not part of an ellipse equation. Take a look at the formula below,
(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1
However we can solve for " b " instead, using c. Take a look at another major formula below,
c^2 = a^2 - b^2,
(3)^2 = (5)^2 - b^2,
9 = 25 - b^2,
- b^2 = 16,
b = 4 = - 4
Whether b = - 4 or b = 4, or equation will be the same.
(x - 0)^2 / (5)^2 + (y - 0)^2 / (4 or - 4)^2 = 1,
x^2 / 25 + y^2 / 16 = 1
<u>Our solution is hence option number 1</u> : 