A - 3b = 4
a = b -2
(b - 2) - 3b = 4
b - 2 - 3b = 4
-2b = 4 + 2
-2b = 6
b = 6/-2
b = -3
a = b - 2
a = -3 -2
a = -5
to check: a = -5 ; b = -3 ⇒ (-5,-3)
a - 3b = 4
-5 - 3(-3) = 4
-5 + 9 = 4
4 = 4
PL= sqrt(4^2+12^2)=4sqrt(1+9)=4sqrt(10)
Using similarity gives that AM=4/3.
ML=40/3
[PLMU]=40/3 * 4 = 160/3 (53.33)
Or
PM= sqrt(4^2+16/9)=sqrt(160/9)=4sqrt(10)/3
4sqrt(10)*4sqrt(10)/3=160/3 or approximately 53.33
Answer:
Gross Annual Income: $26,520
Step-by-step explanation:
Gross annual income is the amount of money made without any taxes or deductions subtracted from the total. If Brad earns $12.75 per hour and works 40 hours per week, we can first find his weekly income by multiplying the rate by the number of hours per week:
$12.75 x 40 = $510.00
Since Brad earns $510 per week and there are 52 weeks in one year, we can find his gross annual income again by multiply the weekly rate ($510) by the number of weeks in a year (52):
$510 x 52 = $26,520
Answer:
y - 2 = 1/2(x - 3)
Step-by-step explanation:
In this question, we need to write the given information in point-slope form.
Point-slope form: y - y1 = m(x - x1)
We know that our slope is 1/2
We are also given a coordinate: (3, 2)
Plug in the information to its correct spot in the equation:
y - 2 = 1/2(x - 3)
Your point-slope form would be: y - 2 = 1/2(x - 3)
First you write what the vectors are, then you subtract z from w by subtracting their corresponding values <-4-3,1-4>= <-7,-3>, then to get subtracting the next answer you subtract w from z which is <3--4,4-1> = <7,3>
