Yes, that is correct. 10 to the 5th is 100,000. so that divided by 100 = 1000. Hope it helps!
![\bold{\text{Answer: b.}\quad \dfrac{y^2}{100}+\dfrac{x^2}{49}=1}](https://tex.z-dn.net/?f=%5Cbold%7B%5Ctext%7BAnswer%3A%20%20b.%7D%5Cquad%20%5Cdfrac%7By%5E2%7D%7B100%7D%2B%5Cdfrac%7Bx%5E2%7D%7B49%7D%3D1%7D)
<u>Step-by-step explanation:</u>
The ellipse is vertical so y has the biggest radius.
Major axis (y) = 20 so the y-radius is 20/2 = 10
Minor axis (x) = 14 so the x-radius is 14/2 = 7
The equation of an ellipse is:
where
- (h, k) is the center of the ellipse
- a is the x-radius
- b is the y-radius
Given: a = 7, b = 10
Assume: (h, k) = (0, 0)
![\dfrac{(x-0)^2}{7^2}+\dfrac{(y-0)^2}{10^2}=1\\\\\\\dfrac{x^2}{49}+\dfrac{y^2}{100}=1\\\\\\\longrightarrow \dfrac{y^2}{100}+\dfrac{x^2}{49}=1](https://tex.z-dn.net/?f=%5Cdfrac%7B%28x-0%29%5E2%7D%7B7%5E2%7D%2B%5Cdfrac%7B%28y-0%29%5E2%7D%7B10%5E2%7D%3D1%5C%5C%5C%5C%5C%5C%5Cdfrac%7Bx%5E2%7D%7B49%7D%2B%5Cdfrac%7By%5E2%7D%7B100%7D%3D1%5C%5C%5C%5C%5C%5C%5Clongrightarrow%20%5Cdfrac%7By%5E2%7D%7B100%7D%2B%5Cdfrac%7Bx%5E2%7D%7B49%7D%3D1)
Number 1 a and d are true
number to its b c and d
number 3 idk, sorry
Answer:
81
Step-by-step explanation:
6 over 12 equals 3 over 6 6 over 3 equals 6 over 12 6 over 6 equals 3 over 12 12 over 6 equals 3 over 6