Answer:
B
In the equation y=mx+b m is the slope of the line.
Therefore the coefficient in each of these equations is the slope.
A line with a perpendicular slope must have the inverse opposite of the actual line. For example if a line has a slope of 5, a perpendicular line to that line must have a slope of -1/5. If a line has a slope of 10, the perpendicular line has a slope of -1/10. If a line has a slope of 2 then the inverse opposite is -1/2 and that is the slope of the perpendicular line.
B is the only answer with the correct slope so B is the answer.
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
Using the rule of logarithms
log x = log y ⇔ x = y
Given
log(3x + 2) = log(4x - 6), then
4x - 6 = 3x + 2 ( subtract 3x from both sides )
x - 6 = 2 ( add 6 to both sides )
x = 8
Answer:
C 44.59
Step-by-step explanation:
The first two shirts are full price
2*49.96 = 99.92
The third shirt is 50% off. That means it is 50% of the original price
.5*49.96 = 24.98
The total cost before tax is
99.92+24.98 =124.90
tax = cost * tax rate
tax = 124.90*.071
tax=8.87
Add this to the cost
final cost = 124.90+8.87
=133.77
We want to find the mean cost (average cost)
Take the total cost and divide by the number of shirts
133.77/3 =44.59
Step-by-step explanation:
2sin(x)cos(x) - sin(x) + 2cos(x)-1= 0
<=> sinx( 2cosx -1) + ( 2cosx -1) =0
<=> (sinx +1) + ( 2cosx-1)=0
<=> sinx=-1 or cosx= 1/2
+) sinx=1 => x= pi/2 + k×2pi
+)cosx=1/2 => x= pi/3+ k×2pi or x=-pi/3 + k×2pi
x€ [0,2pi] => x= pi/2, pi/3.
It would be C. You would multiply X by 2 and then subtract 15.
