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:
4
Step-by-step explanation:
Yellow is 1/2 of the whole thing. So, we will multiply 1/2 by 8.
8 x 1/2 or 8/2 = 4
It is most likely to spin 4 times.
The Exact form would be 82/15
The decimal form would be 5.46
The mixed number form would be 5 7/15
Answer:
C
Step-by-step explanation:
1. Conan needs 4 hours to rehearse and host a good show. Andy needs 10 hours to do the same. So, Cohan needs 6 hours less than Andy to rehearse and host a good show. This means Cohan has an absolute advantage in the production of show hosting.
2. Conan writes one usable joke in an hour, Andy needs 2 hours to do the same. So, Cohan has an absolute advantage in the production of joke writing.
Thus, Cohan has an absolute advantage in the production of both show hosting and joke writing.
Correct option is option C.
