1.
the slope of the line y=3x+2 is the coefficient of x, that is 3.
2.
the slope of any line perpendicular to the line y=3x+2, is m, such that:

so

3.
so any line with equation y=-1/3x+k is perpendicular to y=3x+2.
moreover, the line y=-1/3x (so k=0) is the line passing through the origin
(0, 0) and perpendicular to y=3x+2
4. This means that the closest point of y=3x+2 to the origin is the intersection point of lines y=3x+2 and y=-1/3x
5.
to find this point:
3x+2=(-1/3)x
x(3+1/3)=-2
x(9/3+1/3)=-2
x*10/3=-2

thus y is : (-1/3)(-6/10)=0.2
Answer: (-0.6, 0.2)
Answer:
$48.72
Step-by-step explanation:
<u>Step 1:</u> identify the given parameters
Sky's gross annual income = $36,192
<u>Step 2:</u> calculate Sky's weekly salary
= 36,192/52
=$696/week
<u>Step 3: </u>calculate Sky's weekly 4% deduction
= $696 X 4%
=$696 X 0.04 = $27.84
<u>Step 4: </u>calculate Sky's weekly 3% deduction
= $696 X 3%
=$696 X 0.03 = $20.88
<u>Step 5</u>: calculate how much is deposited into Skye’s 403(b) each payday
= $27.84 + $20.88
=$48.72
Answer:
14.10>3.05
Step-by-step explanation:
Answer:
i dont think so because it wont work effictianly
Step-by-step explanation:
Answer:the price of the sweater was reduced by 40%
Step-by-step explanation:
hope this helps