Answer:
y = - 2x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x - 7 ← is in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 2, hence
y = - 2x + c ← is the partial equation of the perpendicular line
To find c substitute (4, - 3) into the partial equation
- 3 = - 8 + c ⇒ c = - 3 + 8 = 5
y = - 2x + 5 ← equation of perpendicular line
Answer:
(f+g)(x) =
Step-by-step explanation:
First, lets understand what (f+g)(x) means.
(f+g)(x) is when you are taking the values in the function f(x) and adding it to the values in the function g(x).
So, this is what the equation looks like when you substitute the functions in to (f+g)(x):
(f+g)(x) =
Now, combine like terms and Simplify:
(f+g)(x) =
This is your final answer.
Answer:
<h2>The value of x is 8.</h2>Step-by-step explanation:
We know that
Each angle is defined as
and
Replacing all in the first equation, we have
Therefore, the value of x is 8.