<h3>
Answer: A) intersecting</h3>
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Work Shown:
Solve the first equation for y
x+y = ab
y = -x+ab
y = -1x + ab
slope = -1, y intercept = ab
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Solve for y in the second equation
bx - y = a
bx - y - a = 0
bx-a = y
y = bx - a
Slope = b, y intercept = -a
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The first equation has a slope of -1. The second equation has a slope of b.
Since b cannot equal -1, this means the two equations have different slopes. It is impossible for these two lines to be parallel, because parallel lines have equal slopes. The different slope values tell us the lines cross at exactly one point.
Step-by-step explanation:
1/3πr^2h
{(1/3)×(22/7)×2^2×6}m^3
[(1/3)×(22/7)×4×6)}m^3
{528/21}m^3
=25.1 m^3
NOTE:r=diameter divided by 2
Answer:
7
Step-by-step explanation:
There is a point of inflection at each point where the graph crosses the line y=2. There are 7 points of inflection shown.
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A point of inflection is where the graph changes from being concave downward to concave upward, or vice versa. For a sine function, that is everywhere the function crosses its midline.
Congruent
SSS (because of Pythagoras)
Answer:
The prices of the two stocks will be the same in 1.56 hours.
The price of Stock A at 9 A.M. was $12.95 Since then, the price has been increasing at the rate of $0.12 each hour.
This means that after x hours, the value of Stock A is:
After noon:
Noon is 3 hours after 9 AM, so
So in x hours after noon, the value is given by:
At noon the price of Stock B was $13.70. It begins to decrease at the rate of $0.13 each hour.
This means that after x hours, the value of Stock B is:
In how many hours will the prices of the two stocks be the same?
This is x for which:
The prices of the two stocks will be the same in 1.56 hours.
Step-by-step explanation:
Hope this helps:)
