Answer:
31.744 gallons of water
Step-by-step explanation:
Find the amount of water he used in 12 seconds.
6.2*.12=.744 gallons
Find the amount of water he used in 5 minutes
6.2*5=31 gallons
Add your two solutions
31+.744=31.744 gallons
Answer:
The displacement of a figure or a shape from one place to another is called translation, which means a figure can be moved upward, downward, left, right, or anywhere in the coordinate system using translation. While translating, all the points will shift by the same number of units.
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Answer:
a = 
Step-by-step explanation:
To find the value of a, find the Slope of both the equations.
For lines to be perpendicular to each other 
For line 1:
2x + 3y − 6 = 0 represent the line in y=mx +c form
3y = -2x + 6
y =
+ 
y =
+ 2
= 
For line 2:
ax - 3y = 5
ax = 5 + 3y
ax - 5 = 3y
y = 
= 
Apply the condition of perpendicularity:
*
= - 1

a = 
So because the discriminant is less than zero so this mean that the quadratic has no real solutions
Answer:
m=6
Step-by-step explanation:
For this figure to be a parallelogram, the sides must be the same length
4m+2 = 3m+8
Subtract 3m from each side
4m+2-3m = 3m+8-3m
m+2 =8
Subtract 2 from each side
m+2-2 =8-2
m=6