Answer:
The constant of proportionality is thus 1
Step-by-step explanation:
Note that the green line passes through (6, 6) and has a y-intercept of 0. Thus, the equation of the line is y = (6/6)x + 0, or y = x, or y = 1x.
The constant of proportionality is thus 1, which is also the slope of this line.
V = 4/3 * 3.14 * 9^3 = 3052.08
Answer is B
We have
-2x-3y <12
For this case what you should do is to graph the following straight line:
-2x-3y = 12
Then, the solution will be the shaded region that satisfies the following inequality:
-2x-3y <12
In the shaded region you will find all the solution points.
Answer:
See attached image
Hey there!!
Let's take the length of the bigger piece as x inches
Then, the length of the smaller piece would be x - 8 inches
The sum of these lengths would be 54 inches
... x + x - 8 = 54
... 2x - 8 = 54
... Add 8 on both sides
... 2x = 62
... Divide 2 on both sides
... x = 31
Hence, the length of the bigger piece = 31 inches
The length of the smaller piece would be = 31 - 8 = 23 inches
Hope my answer helps!!
The figure is missing. There are several problems with same wording but different numbers
Here, we can use:
- Horizontal distance: 258 feet
Answer:
- Slope = 56.0 ft / 258 ft ≈ 0.217
Explanation:
The <em>slope</em> measures how the rate of change of the vertical distance (vertical fall) with respect to the horizontal distance.
There are several forms to express this with words, which represent the same formula. Here are some of them:
- Slope = rise / run
- Slope = vertical change / horizontal change
- Slope = change in y / change in x
- Slope = Δy / Δx
- Slope = (y₂ - y₁) / (x₂ - x₁)
As said, all those forms mean the same; they are equivalent.
Here, we have vertical fall = 56.0 feet, and horizontal distance = 258 feet, and by specifications of the problem (in the hint) the slope must be positive. Thus, you get:
- Slope = vertical fall / horizontal distance = 56.0 feet / 258 feet ≈ 0.217
