Answer:

combine like terms afterwards .. for the polynomial
Answer:
-25.17 miles per gallon.
-It costs $49.02 to fill your tank.
Step-by-step explanation:
-To find the miles per gallon, you can use a rule of three:
17.2 gallons → 433 miles
1 gallon → x
x=(1*433)/17.2= 25.17
If your gas tank holds 17.2 gallons, you car can drive 25.17 miles per gallon.
-To find the cost to fill your tank, you have to multiply the price per gallon for the amount of gallons that the tank can hold:
$2.85*17.2=$49.02
It costs $49.02 to fill your tank.
Given :
The foci of hyperbola are (8,0) and (-8,0) .
The difference of the focal radii = 6.
To Find :
The equation of the hyperbola.
Solution :
We know, distance between foci is given by :
2c = 8 - (-8)
c = 8
Also, difference between the foci or focal distance is given by :
2a = 6
a = 3
Now, we know for hyperbola :

General equation of hyperbola is :

Hence, this is the required solution.
Answer:

Step-by-step explanation:
By AA Similarity, triangles ASR and EST are similar.
The ratio of the lengths of the sides of triangle ASR to those of EST is 6/8 or 3/4.

Also,

By a rule of proportions, you get




