Answer: (x^2)/16 + (y^2)/25 = 1
Step-by-step explanation:
According to the problem we can figure out that the center of the ellipse is (0,0).
Since the foci is (0,3) and (0,-3) we know that the value of c is 3. The major vertices are (0,5) and (0,-5) so the value of a is 5.
If we put this into the equation a^2=b^2 + c^2, we get 25=9+ b^2
We get b^2 is 16
Now since we know that the ellipse is vertical because the x value didn’t change, we know that the b^2 value comes first in the equation. Then the a^2 value which is 25.
No they are not, 9.91 > 9.0
Answer:
y = 15x + 20 or 15x - y + 20 = 0
x = 11
Step-by-step explanation:
Line is passing through the points (0, 20) & (2, 50)
Slope of line = (50 - 20)/(2 - 0) = 30/2 = 15
Equation of line
y - 20 = 15(x - 0)
y - 20 = 15x
y = 15x + 20 or 15x - y + 20 = 0
Plug y = 185 in above equation, we find:
185 = 15x + 20
185 - 20 = 15x
165 = 15x
x = 165/15
x = 11
Answer:
70 , 84 , 105
Step-by-step explanation:
sum their ages , 10 + 12 + 15 = 37
divide the amount by this sum to find the value of one part of the ratio.
259 ÷ 37 = 7 ← value of 1 part of the ratio , then
10 parts = 10 × 7 = 70 euros ← Tom's share
12 parts = 12 × 7 = 84 euros ← Mary's share
15 parts = 15 × 7 = 105 euros ← Bill's share
The correct answer for this question would be about $4,467.2 according to my estimation.
If it’s not correct, I’m sorry, but if it is, please mark the brainliest!!