1. m
2. One set of ordered pairs
3. b
To show why this is, I’m going to explain how to write the equation for a linear function with two random sets of ordered pairs - (1,0) and (5, 8).
First, find the slope. The formula for slope is m = (y2 - y1)/(x2-x1) where m is the slope and (x1, y1) and (x2, y2) are two sets of points.
This is why #1 is m. M is the letter used when finding slope.
To find m, I plug in the two sets of ordered pairs.
m = (8-0)/(5-1)
m = 8/4
m = 2
An equation for a line (linear function) is written in something called slope-intercept form. It looks like y = mx + b. m is the slope and b is the y-intercept (number y equals when x = 0). If m = 3 and b = 1, the equation would be y = 3x + 1.
Here, you have just solved for m and know it equals 2. Plug that value in for m.
y = 2x + b
To solve for b, plug one ordered pair in for x and y. I will use (1,0)
0 = 2(1) + b
0 = 2 + b
-2 = b
Now that you know b = -2, plug that in for b.
y = 2x - 2. Now you have the equation fo the line.
Answer:
148.5 meters^3
Step-by-step explanation:
The volume of a rectangular prism can be found using the following formula.
V=l*w*h
The length is 6 meters. The height is 4.5 meters. The width is 5.5 meters. Substitute these values into the formula.
V=6*5.5*4.5
Multiply all the values together
V=33*4.5
V=148.5
Add appropriate units. Volume uses units^3 and the units are meters.
V=148.5 meters^3
The volume of the rectangular prism is 148.5 cubic meters.
Answer:
c = 25m + 40
Step-by-step explanation:
Answer:
19.6, B
Step-by-step explanation:
To solve, we need to figure out how many gallons of white paint she needs for every gallon of brown paint.
We are given this equation.
5 gallons of brown paint = 7 gallons of white paint
Divide both sides by 5.
1 gallon of brown paint = 7/5 gallons of white paint = 1.4 gallons of white paint
Now, using this, substitute 14 into the left side.
14 gallons of brown paint = 1.4 * 14 gallons of white paint
14 gallons of brown paint = 19.6 gallons of white paint
Thus, the answer is B, 19.6 gallons
Answer:
11 * 11 * 11
Step-by-step explanation:
11^3 is the same thing as 11*11*11
