We want to determine the equation in point slope form for the line that is perpendicular to the given line and passing through the point (5.6) .
The equation and the point is;
We know that for two lines to be perpendicular, the product of their slopes should be -1.
Therefore, the slope of the perpendicular should be;
The second condition is that the line must pass through the point (5,6) , to do thid, we write the equation of the line in point slope form which is;
Inserting all values, we have,
That is the final answer.
There a 4 quarts in 1 gallon, so he will fill and empty the container 20 times.
Answer:
c = 80/9 or c = 8.888...
Step-by-step explanation:
<u>Step 1: Combine like terms
</u>
100 - 1 - 9c = 19
99 - 9c = 19
<u>Step 2: Subtract 99 from both sides
</u>
99 - 9c - 99 = 19 - 99
-9c = -80
<u>Step 3: Divide both sides by -9
</u>
-9c / -9 = -80 / -9
c = 80/9 or c = 8.888...
Answer: c = 80/9 or c = 8.888...
Area = length times width
12 x 4 = 48 square feet
Answer:
9x +2
Step-by-step explanation:
f(x) = 3x+ 10x
g(x) = 4x - 2,
(f - g)(x)= 3x+10x - (4x-2)
Distribute the minus sign
= 3x+10x -4x+2
Combine like terms
= 9x +2
