Check the picture below. So the ellipse looks more or less like so.
since the major axis is over the x-axis, is a horizontal ellipse, notice the "a" component length and the value for "c".
![\bf \textit{ellipse, horizontal major axis} \\\\ \cfrac{(x- h)^2}{ a^2}+\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2- b ^2} \end{cases}\\\\ -------------------------------](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bellipse%2C%20horizontal%20major%20axis%7D%0A%5C%5C%5C%5C%0A%5Ccfrac%7B%28x-%20h%29%5E2%7D%7B%20a%5E2%7D%2B%5Ccfrac%7B%28y-%20k%29%5E2%7D%7B%20b%5E2%7D%3D1%0A%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0Acenter%5C%20%28%20h%2C%20k%29%5C%5C%0Avertices%5C%20%28%20h%5Cpm%20a%2C%20%20k%29%5C%5C%0Ac%3D%5Ctextit%7Bdistance%20from%7D%5C%5C%0A%5Cqquad%20%5Ctextit%7Bcenter%20to%20foci%7D%5C%5C%0A%5Cqquad%20%5Csqrt%7B%20a%20%5E2-%20b%20%5E2%7D%0A%5Cend%7Bcases%7D%5C%5C%5C%5C%0A-------------------------------)
Answer:
35/42 = b/7 and b= 35/6
Step-by-step explanation:
Our base is unkhown so it will be the variable in our equation :
- Let A be the area , h the height and b the base
- A = b*h
- 35/42 = b/7 this is the equation , let's solve it
- (35*7)/42 = b
- (35*7)/ 7*6 =b
- 35/6 = b
so b is 35/6 cm
Answer:
inequality- 1.29m <20
maximum number of songs- 15 songs
Step-by-step explanation:
For the inequality, you see that she only has $20 so whatever she buys has to be below that so use the less than sign. You also see that each song is worth $1.29 so 1.29m. For the maximum number of songs, you divide 20 by 1.29 and just ignore the remainder.
Answer:
Step-by-step explanation:
Unit rate per fluid ounce = $0.15
Step-by-step explanation:
Given that:
Cost of one quart bottle of juice = $4.80
We know that:
One quart = 32 ounces
Unit rate is the rate in which two quantities are compared and one of them is one.
Unit rate =
Unit rate = $0.15 per fluid ounce
Hence,
Unit rate per fluid ounce = $0.15
So x=2
5(2)-2. (2)because x=2
5(2)-2=8