Answer:
108 in
Step-by-step explanation:
Step 1: Find conversion
1 ft = 12 in
Step 2: Convery
9 ft · 12 in/ft = 108 in
y - 6 = - 5 * x - 5 * (-3)
y - 6 = -5x + 15
y + 5x = 15 + 6
5x + y = 21
The statement that is not true is
B. Perpendicular lines never intersect at right angles.
The definition of perpendicular lines is that they will intersect each other at 90 degree angles.
Answer:
Third option:
Step-by-step explanation:
Below are shown two transformations for a function f(x):
If , the function is shifted up "k" units.
If , the function is shifted down "k" units.
In this exercise you know that the function g(x) is obtained by shifting down the function f(x) 7 units.
Then, given the function f(x):
You can determine (based on the transformations explained before) that the function g(x) is:
Therefore, you can identify that the value of "k" is:
We could factor the usual way but let's try Dr. Po Shen Loh's "new" method.
First step is to rewrite as a monic,
Now we need two numbers which add to 2/3m and multiply to -5/3m². If they add to 2/3m they average to 1/3m so they're 1/3m-u and 1/3m+u for some u. The product of those two is -5/3m² so we write:
So our equation
factors as
so has roots
The more standard factorization with the same result is