Answer:
Step-by-step explanation:
“the center of the ellipse is located below the given co-vertex”
Co-vertex and center are vertically aligned, so the ellipse is horizontal.
Equation for horizontal ellipse:
(x-h)²/a² + (y-k)²/b² = 1
with
a² ≥ b²
center (h,k)
vertices (h±a, k)
co-vertices (h, k±b)
foci (h±c,k), c² = a² -b²
One co-vertex is (-8,9), so h = -8.
One focus is (4,4), so k = 4.
Center (h,k) = (-8,4)
c = distance between center and focus = |-8 - 4| = 12
b = |9-k| = 5
a² = c² + b² = 169
(x+8)²/169 + (y-4)²/25 = 1
Answer:
(Unless I am understanding the question/lesson wrong I know how to do this)
Step-by-step explanation:
On the first set you can see that 1 is the time and 3 is the distance so you would go to the chart and where it says time you would go right one time and I think since it says distance you would be the point up 3 times to the chart would look like (1,3).
Hope this helps :)
Answer: smaller angle = 17°
The angle is a right angle so the total degree of the angle would be 90°
Step-by-step:
Equation:
(4x+1)+(x-1) = 90
5x = 90
X = 18
Smaller angle:
(X-1)
(18-1)
17°
Answer:
<u>1109.8 square feet</u>
Step-by-step explanation:
In this case, assume the leash to be the radius of the circular yard.
<u>Area</u>
- πr²
- 3.14 x (18.8)²
- 3.14 x 353.44
- <u>1109.8 square feet</u>
Answer:
$10
Step-by-step explanation:
cost of one month of game play = x
1(35) + 3x + 2(35) + 5x = 185
35 + 70 + 8x = 185
105 + 8x = 185
-105 -105
8x = 80
/8. /8
x =10
