Answer:
creating then into points for a graph
Answer:
The equation that represents the new path is y=(1/3)x+4
Step-by-step explanation:
step 1
Find the slope of the give line
we have
y=-3x-6
so
the slope m is equal to
m=-3
step 2
Find the slope of the perpendicular line to the given line
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal of each other
so
we have
m=-3 -----> slope of the given line
therefore
The slope of the perpendicular line is equal to
m=1/3
step 3
With m=1/3 and the point (-3,3) find the equation of the line
y-y1=m(x-x1)
substitute
y-3=(1/3)(x+3)
y=(1/3)x+1+3
y=(1/3)x+4 -----> equation that represent the new path
Answer:
(14, 2).
Step-by-step explanation:
x - y = 12
y = 2
Solving this system:
Plug y = 2 into the first equation:
x - 2 = 12
x = 14.
Therefore the point of intersection is at (14, 2).
Answer:
Step-by-step explanation:
Use the change-of-base rule.
log₂(62) = ln(62)/ln(2)
You could draw out a word diagram