Answer:
See below.
Step-by-step explanation:
a.
We need degrees C as a function of degrees F.
Just like when we have y as a function of x, we have (x, y) ordered pairs, here we will have (F, C) ordered pairs.
We are given two ordered pairs: (32, 0) and (212, 100).
We can find the slope of the line.
m = (100 - 0)/(212 - 32) = 100/180 = 5/9
y = mx + b
C = mF + b
C = (5/9)F + b
Use point (32, 0) for F and C to solve for b.
0 = (5/9)(32) + b
b = -(5/9)(32)
C = (5/9)F - 5/9(32)
C = (5/9)F - 160/9
b.
The slope is 5/9. The slope is the rate of change of degrees F to degrees C. For each change of 9 degrees F, the corresponding change in degrees C is 5.
c.
The y-intercept is -160/9.
It means that a temperature of 0 degrees F equals -160/9 degrees C.
You can use a number line to compare values by on the line say that 4 is before 5 so it is saying that 4 is less than 5.
Answer:
B = (6, 4)
Step-by-step explanation:
You know that the midpoint is calculated as ...
M = (A +B)/2
Solving this for B, we find ...
2M = A + B
B = 2M - A
Filling in the coordinate values, we get ...
B = 2(5, -2) -(4, -8) = (2·5-4, 2(-2)+8)
B = (6, 4)
Answer:
(6,1)
Step-by-step explanation:
You know that to move up or down means to change the y- coordinate. So for this on you do 10-9. This is 1. So the new y- coordinate is 1.
Answer:
68
Step-by-step explanation:
speed = distance/time
distance = 391 miles
time = 5 h + 45 m = 5.75 h
speed = (391 miles)/(5.75 h)
speed = 68 miles/hour
Answer: In 1 hour, it travels 68 miles.
