Answer:
m = -2
Step-by-step explanation:
because y = -2x and y = -2x + 3 are parallel
Answer:
AC = 18
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos30° = 
, then
cos30° = 
= 
= 
= ( cross- multiply )
2 AC = 12
× = 12 × 3 = 36 ( divide both sides by 2 )
AC = 18
Answer:
A'(0,0) and B'(0,7.5) and C'(12.5,7.5) and D'(12.5,0)
Step-by-step explanation:
<u><em>Find the coordinates of the point after dilation</em></u>
A'(0,0) and B'(0,7.5) and C'(12.5,7.5) and D'(12.5,0)
<em>I hope this helps you</em>
<em>:)</em>
Answer:
number of hours = 3 hours
Step-by-step explanation:
Let
x = number of hours
Casa Lucia = 200 + 500x
Silver Fox = 1,100 + 200x
To solve the equation, equate both cost of rent
Casa Lucia = Silver Fox
200 + 500x = 1,100 + 200x
200 - 1,100 = 200x - 500x
-900 = - 300x
x = -900 / -300
x = 3 hours
number of hours = 3 hours
The solution to the system of equations in this real-world context represents the number of hours both locations can be rented with the same cost.
It means both locations cost the same if rented for 3 hours each
Answer:
<u>It takes the hose 300 hours to fill the pool</u>
<u />
Step-by-step explanation:
The hose can fill the pool at a rate of 0.5 gallons per second, which means that it can fill the pool at a rate of 1 gallon per 2 seconds. It needs to fill 9000 gallons of water, so assuming the ratio remains 1:2, it takes the hose 18000 (9000*2) seconds to fill the pool completely.
However, it is important to note that we have to answer in terms of hours. There are 60 seconds in an hour, so 18000 seconds is equal to <u>300 hours</u> (18000/60).
