Answer:
The rate of change is 0.75 gallons per minute
Step-by-step explanation:
The rate of change of the linear relation is represented by the slope of the line which represents this relation
The rule of the slope of a line is
m = Δy/Δx, where
- Δy is the vertical change
- Δx is the horizontal change
From the given graph
∵ The line passes through points (0, 0) and (4, 3)
∴ Δx = 4 - 0 = 4
∴ Δy = 3 - 0 = 3
→ Use the rule of the slope above to find the slope of the line
∴ m = 
= 0.75
∵ The x-axis represents the time in minutes
∵ The y-axis represents the amount in gallons
∵ m represents the rate of change
∴ The rate of change = 0.75 gallons per minute
Answer:
The trapezoid has a height of 3 inches so, a shorter base measuring 2.75 inches, and a longer base measuring 4.25 inches is. The total area of the entire figure is 33 square inches.<3
Step-by-step explanation:
(x,y)
sub points to see if we get true statemtn
(2,12)
x=2 and y=12
12-5=5(2)
7=10
false
no, (2,12) is not a point
(-2,-5)
x=-2
y=-5
-5-5=5(-2)
-10=-10
true
(-2,-5) is a soltuion
(-2,-5) is the only solution given that works
Answer:
x = 67
y = 23.5
Step-by-step explanation:
Sum of angles in a triangle is supplementary,
x + 90 + 23 = 180
x + 113 = 180
x = 180 - 113
x = 67
y = ?
180 - 67 / 2
= 133 / 2
= 66.5
y + 66.5 = 90
y = 90 - 66.5
y = 23.5
Answer:x=7
Step-by-step explanation:
180=112+9x+5
Collect like terms
180-112-5=9x
63=9x
Divide both sides by 9
63/9=9x/9
7=x
x=7
