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:
2 cups
Step-by-step explanation:
16/8=2 so it is 2 cups
To solve this you first need to turn your mixed numbers into improper fractions. to do this for 
you multiply the denominator (5) by the whole number (9) to get 45 and then add that to the numerator (4) to get your new fraction 
.
You repeat this process with 
to get 
.
Now that you have two fractions you can multiply by the opposite reciprocal. To do this you flip the second fraction and change the division sign to a multiplication sign like so 
Then, you just multiply the fractions by multiplying the numerators to get 98 and multiplying the denominators to get 35.
Now, to simplify 
you first divide both the numerator and denominator by 7 to get 
.
Finally, you can take 10 out of the numerator to make 
Answer:
the answer is 1.
Step-by-step explanation:
=−1−(−2)
=−1+2
=1
