Hello!
To find the line perpendicular to the given line, y = 2x + 3, firstly, find the slope of the perpendicular line. To find it, use this format: -1/m, where m is the slope. It is also called the "negative reciprocal" of the slope of the given line.
Then, you substitute an ordered pair into a new slope-intercept equation (with the slope) and find the y-intercept.
-1/m when m = 2 → -1/2
y = -1/2x + b (substitute the given ordered pair)
-3 = -1/2(2) + b (simplify)
-3 = -1 + b (add 1 to both sides)
-2 = b | The y-intercept of the perpendicular equation is -2.
Therefore, the line perpendicular to the given equation, that also goes through the given ordered pair is y = -1/2x - 2.
Answer:
Step-by-step explanation:
Payment per hour is $8
commission is 15%
Total number of hours worked for 2 weeks is 73 hours
Total sales=$2095
commission earned for 2 weeks:
15/100×2095
=$314.25
Total amount earned in 73 hours:
73×8=$584
Total amount earned in commission and wages:
584+314.25
=$898.25
Alright, let's solve the second one because why not:
Let's then work on getting x by itself:
And that's your answer!
Answer:
-12
Step-by-step explanation:
f(x) = -3x^2
Let x = -2
f(-2) = -3( -2)^2
= -3 ( 4)
= -12
