Answer:
The answer to your question is below
Step-by-step explanation:
Data
Center = (0, 0)
Vertex = (13, 0)
Focus = (12, 0)
Process
From the data we know that it is a horizontal ellipse.
1.- Calculate "a", the distance from the center to the vertex.
a = 13
2.- Calculate "c", the distance from the center to the focus
c = 12
3.- Calculate b
Use the Pythagorean theorem to find it
a² = b² + c²
-Solve for b
b² = a² - c²
-Substitution
b² = 13² - 12²
-Simplification
b² = 169 - 144
b² = 25
b = 5
4.- Find the equation of the ellipse
or 
The answer is 6.7
explanation : take 5.5 and add it from 6.7
Answer:
If P= price of the hardcover book, then
We have to spend $25-P, if P<$25; or $0 if P>= $25
Step-by-step explanation:
Lets call P the price of the hardcover book, in $. We can suppose that P is less than 25, otherwise we shoudnt spend on anything else to get the free shipping. If X is the amount that we have to spend to reach 25, then we get that P+X = 25. If P is known, we can obtain X by substracting P in both sides, therefore
X = 25-P
We conclude that if the price of the book P is less than 25, then we have to spend $25-P. Otherwise we have to spend 0.
Answer:
a = 1
b = -1
Step-by-step explanation:
First, let's make equations out of those given f(x)'s
-4 = -3a + b
2 = 3a + b
We can use elimination method to get rid of the a real quick
-4 = b
2 = b
Add those together
-2 = 2b
Divide both sides by 2
-2/2 = 2b/2
b = -1
Plug in the new b in one of the original equations; I'm gonna use the bottom one
2 = 3a - 1
+ 1 + 1
3 = 3a
3/3 = 3a/3
a = 1
