![4x^2+9y^2=36\\ \\ \frac{4x^2}{36}+\frac{9y^2}{36}=\frac{36}{36}\\ \\ \boxed{\frac{x^2}{9}+\frac{y^2}{4}=1}](https://tex.z-dn.net/?f=4x%5E2%2B9y%5E2%3D36%5C%5C%0A%5C%5C%0A%5Cfrac%7B4x%5E2%7D%7B36%7D%2B%5Cfrac%7B9y%5E2%7D%7B36%7D%3D%5Cfrac%7B36%7D%7B36%7D%5C%5C%0A%5C%5C%0A%5Cboxed%7B%5Cfrac%7Bx%5E2%7D%7B9%7D%2B%5Cfrac%7By%5E2%7D%7B4%7D%3D1%7D)
This is a equation of a ellipse (0,0) centered
Domais: {x∈R/-3≤x≤3}
Range:{y∈R/-2≤y≤2}
Answer:
Step-by-step explanation:
P(a or b) = P(a) + P(b) - P(a and b)
0.88 = 0.70 + 0.60 - P(a and b)
P(a and b) = 1.30 - 0.88 = 0.42.
So the events a and b are not mutually exclusive.
Hey there! I'm happy to help!
Here is our equation
3x - 4 (2x - 5) = 15
First, we will sue the distributive property to remove the parentheses. The term outside the parentheses is -4, so that is what we multiply the insides by.
3x-8x+20=15
We combine our like terms (our x-values).
-5x+20=15
We subtract 20 from both sides.
-5x=-5
We divide both sides by -5.
x=1
Have a wonderful day and keep on learning! :D
Answer:
There were 11,752 tickets sold in April.
Step-by-step explanation:
5,876 x 2 = 11,752
The unit rate is:
chapters per hour
Step-by-step explanation:
Given
chapters read = ![9\frac{3}{4} = \frac{39}{4}](https://tex.z-dn.net/?f=9%5Cfrac%7B3%7D%7B4%7D%20%3D%20%5Cfrac%7B39%7D%7B4%7D)
Time = ![3\frac{3}{8} = \frac{27}{8}](https://tex.z-dn.net/?f=3%5Cfrac%7B3%7D%7B8%7D%20%3D%20%5Cfrac%7B27%7D%7B8%7D)
Unit rate is calculated by dividing the total chapters by total time
So,
![Unit\ rate = \frac{\frac{39}{4}}{\frac{27}{8}}\\= \frac{39}{4} * \frac{8}{27}\\= 13 * \frac{2}{9}\\=\frac{26}{9}\\=2\frac{8}{9}](https://tex.z-dn.net/?f=Unit%5C%20rate%20%3D%20%5Cfrac%7B%5Cfrac%7B39%7D%7B4%7D%7D%7B%5Cfrac%7B27%7D%7B8%7D%7D%5C%5C%3D%20%5Cfrac%7B39%7D%7B4%7D%20%2A%20%5Cfrac%7B8%7D%7B27%7D%5C%5C%3D%2013%20%2A%20%5Cfrac%7B2%7D%7B9%7D%5C%5C%3D%5Cfrac%7B26%7D%7B9%7D%5C%5C%3D2%5Cfrac%7B8%7D%7B9%7D)
Hence,
The unit rate is:
chapters per hour
Keywords: Unit rate, fractions
Learn more about fractions at:
#LearnwithBrainly