Y=-3x+2:
Already in slope intercept form
Graph by plotting a point on (0,2)
Then move 3 points up and 1 to the right and plot the point and keep doing that a couple times
-3x-y=-2:
Add -3x on both sides
The result would be
-y=3x-2
Divide everything by negative 1
Y=-3x+2
Both equations are the same so they are the same line
Answer:
It'll take him 1/4 hours to decorate the two signs.
Step-by-step explanation:
In order to know how long Roberto will take to decorate all the signs we need to find their surface area, since they're rectangular their area is given by the product of their dimensions.
First sign:
area1 = (2/3)*(1/4) = 2/12 = 1/6 foot²
Second sign:
area2 = (1/2)*(1/3) = 1/6 foot²
The total area he has to paint is the sum of their individual areas, so we have:
total area = area1 + area2 = 1/6 + 1/6 = 2/6 = 1/3 foot²
To find out how long he'll take to decorate this area we can use a rule of three as shown bellow:
3/4 hour -> 1 foot²
x hour -> 1/3 foot²
x = (3/4)*(1/3) = 1/4 hours
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