Answer:
Step-by-step explanation:
9514 1404 393
Answer:
- figure the areas of the rectangle and semicircle
- add them together
Step-by-step explanation:
The area of the rectangle is given by ...
A = LW
A = (20 m)(14 m) = 280 m²
__
The area of the semicircle is ...
A = (1/2)πr²
A = (1/2)π(7 m)² = 24.5π m² ≈ 77 m²
__
Then the total area is ...
280 m² +77 m² = 357 m²
_____
The width of the rectangle is the diameter of the circle, which is twice its radius. The area of a semicircle is 1/2 the area of a circle.
Answer:Decreasing
Step-by-step explanation:
Focus only on the 8-10 interval for x. Note that for x=8 , y=1, for x=9, y=0 and for x=10, y=-1. Y is obviously decreasing for
.
Answer:
the answer is 40 dollars
Step-by-step explanation:
all you have to do is multiply 15x2 and then add 10
Answer:
m = 
Step-by-step explanation:
<h3>
Finding the slope of the given line </h3>
We need to find the slope of this equation to find the slope of a line perpendicular to it. This means we must solve for y.
Start off by subtracting 8x from both sides of the equation to start isolating the variable y.

Now solve for y by dividing both sides of the equation by -7.

This can be broken into two parts by distributing the negative sign from the -7 into the 9 and -8x like so:

The slope of a line is the coefficient of x, so in this case the slope of the given line (
) is
.
<h3>Finding the slope of a line perpendicular to the given line</h3>
Two lines that are perpendicular would have opposite reciprocal slopes, which means the perpendicular slope would be the negative counterpart and would be flipped.
For example, if you have 2 as the slope of one of the perpendicular lines, the other line would be the opposite (-2) reciprocal (
).
Therefore, since we have the slope of one of the perpendicular lines (the given line), we would find the opposite reciprocal of it's slope to solve this problem.
Slope: 
- Opposite:

- Reciprocal:

The slope of the line perpendicular to
is
.