Answer:
yes
Step-by-step explanation:
Use Pythagorean Theorem:
10² + 49.5² = 50.5² ??
100 + 2450.25 = 2550.25
2550.25 = 2500.25
Any line can be expresses as:
y=mx+b where m=slope=(y2-y1)/(x2-x1) and b=y-intercept (value of y when x=0)
First find the slope:
m=(2-0)/(8-0)=2/8=1/4 so we have thus far:
y=0.25x+b, we solve for b using any point on the line, (8,2)
2=0.25(8)+b
2=2+b
0=b
So the line is:
y=.25x which they might also express as y=x/4
The answer is E. (1/4)x
Answer:
Average rate of change for the function
over the interval -1<x<1 is -1
Step-by-step explanation:
We need to find average rate of change of f over the interval -1 < x < 1
The function given is: 
The formula used to find average rate of change is:

We have, a = -1 and b = 1
Finding f(b) when b=1

Now, finding f(a), when a= -1

Now, putting values and finding average rate of change

So, average rate of change for the function
over the interval -1<x<1 is -1
Answer:
Step-by-step explanation:
(12 dollars)/(8 cups) = (12/8 dollars)/cup = (1.5 dollars)/cup
21 dollars × (1 cup)/(1.5 dollars) = 21/1.5 cups = 14 cups
Nonequivalent fractions are not equal to each other. To determine if two fractions are nonequivalent, you must also cross multiply. For example, to determine if 1/3 and 2/5 are equivalent, you must multiply 1 times 5, which equals 5, and 3 times 2, which equals 6.