Answer:
Step-by-step explanation:
First find the slope of the given line.
y - 3 = 1/3(x+2)
y - 3 = (1/3)x + 2/3
y = (1/3)x + 2/3 + 3
y = (1/3)x + 11/3
Compare it with
y = mx + c
We get m = 1/3
As the parallel lines have same slope, the slope of the second line will also be m= 1/3
y = mx + c
y = (1/3)x + c
As this line goes through the point (1,7), substitute it in the equation:
7 = (1/3)1 + c
7 = 1/3 + c
c = 7 - 1/3
c = 21-1/3
c = 20/3
The equation of the line is found by substituting m = 1/3 and c = 20/3 into the general equation
y = mx + c
y = (1/3)x + 20/3
Graph of the equation is shown
We can think of this as a right triangle, where the given lengths are the legs.
So, we can solve using the Pythagorean Theorem.
21² + 28² = c²
441 + 784 = c²
1225 = c²
35 = c
35 miles
Answer ↣ 12 gallons per minute
Step-by-step explanation ↣ Ok I'm gonna use ratios because I can't draw a graph here.
Ok so if the garden hose supplies 36 gallons of water in 3 minutes, then the ratio is 36:3 because every 3 minutes the garden hose "sprays" 36 gallons.
To simplify this ratio, you need find the amount of water the garden hose supplies in 1 minute.
Well to get from 3 to 1, you have to divide by 3.
Do the same thing to 36. 36/3 equals 12.
So the final ratio is 12:1
This is the unit rate. The unit rate is when one variable is 1 unit (most of the time it is speed).
You can multiply 1 by any number and multiply 12 by the same number.
Here are some ratios...
m=minutes
g=gallons
1m:12g
2m:24g
3m:36g
4m:48g
5m:60g
Hope this helped!
BTW why do I sound like this I'm not a aesthetic person-
Answer:46.574 it's simple multiplication
