<h3>Answer: y = (3/2)x + 0</h3>
This is the same as y = (3/2)x
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Work Shown:
Find the slope of the line through (x1,y1) = (-2,-3) and (x2,y2) = (2,3)
m = (y2 - y1)/(x2 - x1)
m = (3 - (-3))/(2 - (-2))
m = (3 + 3)/(2 + 2)
m = 6/4
m = 3/2
The slope is the fraction 3/2. This is going to be in front of the x, or to the left of the x.
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Plug m = 3/2 and (x1,y1) = (-2,-3) into the point slope formula. Solve for y.
y - y1 = m(x - x1)
y - (-3) = (3/2)(x - (-2))
y + 3 = (3/2)(x + 2)
y + 3 = (3/2)x + (3/2)(2)
y + 3 = (3/2)*x + 3
y + 3 - 3 = (3/2)*x + 3 - 3
y = (3/2)x + 0
The y intercept is zero. This matches up with the fact the graph crosses the y axis at y = 0.
-1 5/11
Step-by-step explanation:
Dividing fractions is easy as pie, flip the second one over then multiply
The graph crosses the x axis 3 times so there are 3 roots.
B
Answer:
I think it's 52.5%
Step-by-step explanation:
42/80
42 ÷ 80 = 0.525
0.525 * 100/100 = 52.5
Answer: The speed of the boat in still water is 6.5 mph.
The speed of the current is 2.5 mph
Step-by-step explanation:
Let x represent the speed of the boat in still water.
Let y represent the speed of the current.
A boat going upstream on The River averages 4 mph. Assuming it travelled against the current while going upstream, its total speed would be (x - y) mph. It means that
x - y = 4- - - - - - - - - - - -1
Going downstream, the boat averages 9 mph. Assuming it travelled with the current while going upstream, its total speed would be (x + y) mph. It means that
x + y = 9- - - - - - - - - - - -2
Adding both equations, it becomes
2x = 13
x = 13/2
x = 6.5 mph
Substituting x = 6.5 into equation 1, it becomes
6.5 - y = 4
y = 6.5 - 4
y = 2.5 mph
