Answer:

Step-by-step explanation:
1. Approach,
For this problem, the format of a line that will be used is, slope-intercept form;

Where (
) is the slope of the line, also known as the change in the line and
is the y-intercept, or where the graph of the line intersects the y-axis. Since, in this problem, the slope of the line is given, all one has to do is substitute in a point on the given line and solve.
2. Finding the equation,
In this problem, the slope of the line is given. Therefore, to solve this problem, all one has to do is substitute in a point on the given line and solve.

Substitute in the slope,

Substitute in the point,

Simplify,

Inverse operations,

3. Putting it all together,
Now, that one has y-intercept, (
); use the given slope and the formula
, substitute in all the information.

Answer:
n + f = 15
Step-by-step explanation:
n + f = 15
n + (6) = 15
n = 15 - 6 (opposite side opposite sign)
n = 9
Answer:
x = -2
Step-by-step explanation:
Step 1: Define
f(x) = -x - 5
f(x) = -3
Step 2: Substitute and Evaluate
-3 = -x - 5
2 = -x
x = -2
Answer:
difference in volume = 26.96h cm³
Step-by-step explanation:
The volume of a prism is the product of the base area and the height. A trapezoid prism has a trapezium as the base shape. Therefore,
volume of a trapezoid prism = area of a trapezium × height
area of the base(trapezoid) = 140 cm²
Volume = 140h
Volume of a cylinder = πr²h
where
r = radius
h = height
volume = πr²h
volume = π × 6² × h
volume = 3.14 × 36 × h
volume = 113.04h
To know how much larger the volume of the prism is than the volume of the cylinder we have to take the difference of the volume.
Recall the height are the same
difference in volume = 140h - 113.04h
difference in volume = 26.96h cm³