Answer: 90
Step-by-step explanation:
45.5-.5=45
45^2=90
We don’t know the value of the shorter side, so we will categorize it as x. Side 2 is just 4 feet longer than x, so we would add 4 on to it. Side 3 has double the x, so we would multiply it be 2 for 2x, and subtract the 4 feet from it.
Side 1: x
Side 2: x + 4
Side 3: 2x - 4
If the perimeter is 64 feet, then all of the sides have to add up to it. Therefore, first we add all of the side lengths up:
x + x + 4 + 2x - 4 = 4x.
Now we put 4x, the amount of all these sides added up, equal to the perimeter of 64.
4x = 64. Divide both sides by 4 to get x by itself.
x = 16.
Now that we know x is 16, we will substitute it in for all the side lengths’ equations.
We know that Side 1 was just x, so that will be 16. Since Side 2 was 4 more than x, we’d do 16 + 4 = 20. We substitute 16 in for x in Side 3’s equation: 2(16) - 4 = 32 - 4 = 28.
Therefore, the final lengths of all the sides are:
Side 1: 16
Side 2: 20
Side 3: 28
Answer:
f(6) = 10, f(10) = 30, f(20) = 80
Step-by-step explanation:
Plug in the values into the equation and compute. 5*6 - 20 = 10, 5*10 - 20 = 30, 5*20 - 20 = 80.
Answer:
B. The distance from the retailer decreases with time, D. The distributor is 73.6 miles away from the retailer, E. The truck is traveling at a rate of 67.8 miles per hour.
Answers: B, D, E.
Step-by-step explanation:
Answer:
y = -(1/3)x + 2
Step-by-step explanation:
Keeping in mind the equation of a line: y = mx + c
Notice three discernible points on the graph: (0,2), (3,1), (6,0).
The first and last points mentioned represent the intercept on y-axis and the intercept on x-axis respectively.
Therefore, when x = 0, y = 2. And 2 = m(0) + c
c = 2
Also, when y = 0, x = 6. And 0 = 6m + 2
6m = -2. And m = -(2/6) = -(1/3)
Therefore, y = -(1/3)x + 2
