If the line is perpendicular to "y= -3x +2" its slope must be the opposite reciprocal of the -3. The opposite reciprocal of -3 is 1/3 so that is the slope of your line.
Now utilize y=mx+b and your point (3,-1) to find the y intercept.
-1=1/3(3)+b
b=-2
Equation: y=1/3x-2
Answer:
your answer for K should be 12
Answer:
291in^2
Step-by-step explanation:
Using the formula
Area of the triangle = 1/2absin theta
A = 1/2ijsin<K
Given
i = 74in
j = 23in
<K = 20 degrees
Area = 1/2 * 74*23sin20
Area = 37*23sin20
Area = 852sin20
Area = 291.059in^2
Hence the area of the triangle to nearest square inch is 291in^2
Answer:
(A)
Step-by-step explanation:
Cost of car = $21,349
Down payment = $3000
Remaining amount left = $18,349
Monthly payments (A) = $352
n = Total periods = 5years = 5*12= 60
P(loan amount) = 18,349
r = rate of interest monthly = r/12
Using formula, A =
352 = [tex]\frac{18349\frac{r}{12} }{1-(1+\frac{r}{12})^{-60} }[/tex
= 0.059(approx)
Annual percentage rate = 5.9%
Answer:
2=x
Step-by-step explanation
1) distribute 1/4 to 8x and 16- is now 2x+4=4x
2) minus 2x on both sides to get 4=2x
3) divide both sides by 2
4) 2=x