Answer:
small yards: 5 = 110$
large yards: 1 = 30$
she mowed 5 small and 1 large yard
Step-by-step explanation:
Answer:
(9, -5)
Step-by-step explanation:
The vector AC has coordinates (27, -18), because:
21 - (-6) = 27
-13 - 5 = -18
If the ratio of AB to BC is 5 to 4, it means that
AB = [5/(5+4)]AC = (5/9)AC
Therefore, we have
AB = (5/9)AC = (5/9) (27, -18) = (15, -10)
Which means that:
xB - xA = 15 <=> xB - (-6) = 15 <=> xB + 6 = 15 <=> xB = 9
yB - yA = -10 <=> yB - 5 = -10 <=> yB = -10 + 5 <=> yB = -5
So B has coordinates (9, -5).
Answer:

Step-by-step explanation:
We have a separable equation, first let's rewrite the equation as:

But:

So:

Multiplying both sides by dx and dividing both sides by 3a+y:

Integrating both sides:

Evaluating the integrals:

Where C1 is an arbitrary constant.
Solving for y:


So:

Finally, let's evaluate the initial condition in order to find C1:

Solving for C1:

Therefore:

Answer: Slope (m) =ΔY/ΔX=5/2=2.5
Answer:
-3 , 0 , 1/3 , 3
Step-by-step explanation:
1/3= 0.3333