(3,-1)(4,3)
slope(m) = (3 - (-1) / (4 - 3) = 4/1 = 4
y = mx + b
slope(m) = 4
use either of ur sets of points....(4,3)...x = 4 and y = 3
now sub and find b, the y int
3 = 4(4) + b
3 = 16 + b
3 - 16 = b
-13 = b
so ur equation is : y= 4x - 13 <==
Answer: $4
Step-by-step explanation:
In this situation let's set up a proportional relationship .
Now solve by cross multiply
0.5x = 2 Divide both sides by 0.5
x = 4
This means that if Emily bikes 10 miles, her mother will donate $4.
Answer:
2. a and b only.
Step-by-step explanation:
We can check all of the given conditions to see which is true and which false.
a. f(c)=0 for some c in (-2,2).
According to the intermediate value theorem this must be true, since the extreme values of the function are f(-2)=1 and f(2)=-1, so according to the theorem, there must be one x-value for which f(x)=0 (middle value between the extreme values) if the function is continuous.
b. the graph of f(-x)+x crosses the x-axis on (-2,2)
Let's test this condition, we will substitute x for the given values on the interval so we get:
f(-(-2))+(-2)
f(2)-2
-1-1=-3 lower limit
f(-2)+2
1+2=3 higher limit
according to these results, the graph must cross the x-axis at some point so the graph can move from f(x)=-3 to f(x)=3, so this must be true.
c. f(c)<1 for all c in (-2,2)
even though this might be true for some x-values of of the interval, there are some other points where this might not be the case. You can find one of those situations when finding f(-2)=1, which is a positive value of f(c), so this must be false.
The final answer is then 2. a and b only.
I apologize, I am stumped... I thought you would find either the centroid, circumcenter, or incenter of the triangle created but it didn't work quite right for me.