Answer:
m [slope] = 1/12
Step-by-step explanation:
If a line is perpendicular (90 degrees, forms a right angle) to another, the slope of the line must be an opposite reciprocal of the other. The opposite reciprocal of m is -1/m.
An opposite reciprocal is created by flipping the numerator and denominator, and making it negative.
Therefore, if m is -12 it's opposite reciprocal is -1/-12 = <u>1/12</u>.
Answer: The area of the sector will be about 141.3 square inches.
First, we need to find the area of the entire circle. The formula is pi(r^2). Inputting 18 for the radius makes the area of the circle about 1017.36 square inches.
Now, we multiply by the area by the size of the sector. It is 50 degree out of the entire 360 degrees. That is about 13.9%.
Multiply 13.9% by 1017.36 to get an area of about 141.3 square inches for the sector.
The volume of a cylinder is given by the multiplication of the area of the base by the height of the cylinder. π×r²(area of the base) × h (height of the cylinder) ⇔
×
cm²×35cm=12127.5cm³
(r is half of the diameter. Because we are doing the square of r, the cm also are squared.)
Rounding to the nearest tenth is to round the result so that it maintains a number after the point - the result is 12127.5cm³
You can use substitution here. First, get y alone:
14x + y = -4
subtract 14x from each side
y = -4 - 14x
Then, plug y into the second equation
-4 - 14x = 3x² - 11x - 4
then solve from there
Hope this helps :)
Answer:
True
Step-by-step explanation:
