Answer:
Step-by-step explanation:
Graph is shifted 4 units to the right and reflected over the x-axis.
Answer:
A
Step-by-step explanation:
Since we're dealing with perpendicular lines, we take the recipricol of the m value of the original equation.
So the slope we're dealing with is 1/2.
And the equation we have so far is
y = 1/2x + b
Now we solve for b by plugging in the point (4,2).
2 = 1/2(4) + b
2 = 2 + b
b = 0
So the final equation is
y = 1/2x
Answer:
Volume is 48 yards cubed
surface area is 96 yards squared
Answer:
$110
Step-by-step explanation:
Let a, b, and c represent the earnings of Alan, Bob, and Charles. The problem statement tells us ...
a + b + c = 480 . . . . . . the combined total of their earnings
-a + b = 40 . . . . . . . . . . Bob earned 40 more than Alan
2a - c = 0 . . . . . . . . . . . Charles earned twice as much as Alan
Adding the first and third equations, we get ...
(a + b + c) + (2a - c) = (480) + (0)
3a + b = 480
Subtracting the second equation gives ...
(3a +b) - (-a +b) = (480) -(40)
4a = 440 . . . . . . . . simplify
a = 110 . . . . . . . . . . divide by the coefficient of a
Alan earned $110.
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<em>Check</em>
Bob earned $40 more, so $150. Charles earned twice as much, so $220.
The total is then $110 +150 +220 = $480 . . . . as required
If you plug in the x-coordinate into your equation for the line, you get
y = -3(4)/4 + 3
y = -3 + 3
y = 0
