Answer:
Step-by-step explanation:
We are given,
.
It is required to find the value of y.
Now, on simplifying above equation, we get,
i.e. 
i.e. 
i.e. 
Hence, the missing term is .
Answer:
a. 1 1/2 (or 3/2)
b. 2/3
c. 1
d. 1
Step-by-step explanation:
Part A: (1,1) (7,5)
To determine the slope, you will use the equation m=(y2-y1)/(x2-x1). Keep in mind that it doesn't matter what point you use for (x1, y1) or (x2, y2).
Let's plug in the numbers for part a:
m=(7-1)/(5-1)
Let's then solve the problems inside the parentheses:
m=6/4
And finally, we simplify:
m=3/2 (or 1 1/2 depending on what your teacher wants for an answer)
For these others, I will just go through the steps and not explain them, if you need help or don't understand something I'm doing, either look back at what I did for part a or comment on this answer.
Part B: (1,1) (5,7)
m=(5-1)/(7-1)
m=(4/6)
m=2/3
Part C: (2,5) (-1,2)
m=(-1-2)/(2-5)
m=(-3/-3)
m=1
Part D: (2,5) (-7,-4)
m=(-7-2)/(-4-5)
m=(-9/-9)
m=1
Answer:
i dunno what that means but i think maybe your keyboard broke so the type of letters is random??
Answer:
30 miles
Step-by-step explanation:
In this context, "per" means "divided by", so to find miles per gallon, divide miles by gallons:
(56 1/4 mi)/(1 7/8 gal) = 30 mi/gal
The vehicle can travel 30 miles per gallon of gas.
_____
My calculator divides mixed numbers directly, as many graphing calculators do. If you're working this out by hand, you can convert to improper fractions, then multiply the numerator by the inverse of the denominator.
(56 1/4)/(1 7/8) = (225/4)/(15/8)
= (225/4)·(8/15) = (225/15)·(8/4)
= 15·2 = 30
