8x + 47 = 8x + 40
No solutions (the above 2 expressions cannot be equal for any value of x)
What do we know about those two lines?
They are perpendicular, meaning they have the same slope.
We know the slope of both is not zero (neither is vertical).
Therefore either
1) Both slopes are positive and therefore the product is positive
2) Both slopes are negative and therefore the product is positive (minus by a minus is a plus)
For the y intercepts, we know that the line P passes through the origin.
Therefore its Y intercept is zero.
[draw it if this is not obvious and ask where does it cross the y axis]
Therefore the Y intercept of line K and line P is zero.
[anything multiplied by a zero is a zero]
So we know that the product of slopes is positive, and we know that the product of Y intercepts is zero.
So the product of slopes must be greater.
Answer A
The simplified expression for 6(2( y + x)) is 12y + 12x.
Accordin to the given question.
We have an expression
6(2( y + x))
Therefore,
The simplified expression for 6(2( y + x)) is given by
6(2(y + x))
= 6(2y + 2x) (by distributive law)
= 12y + 12x (by distributive law)
Hence, the simplified expression for 6(2( y + x)) is 12y + 12x.
Find out more information about simplified expression here:
brainly.com/question/18077352
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Answer:
y(0) = 0.25 feet
Step-by-step explanation:
We are given the following information in the question:
The displacement from equilibrium of an oscillating weight suspended by a spring =
where y is the displacement in feet and t is the time in seconds.
Here, cos is in radians.
1) t = 0
y(0) = 0.25 feet
2) t = 
3) t = 
The negative sign indicates the opposite direction of displacement.
Answer:
True
Step-by-step explanation:
Formula
Tan(x) = opposite / adjacent
Givens
x = 42
adjacent = 14
opposite = ?
Solution
Tan(42) = opp/14 Find tan(42)
Tan(42) = 0.900404
0.900404 = opp/ 14 Multiply both sides by 14
14 * 0.900404 = opp/14 * 14 Simplify the left
12.6 rounded = opp
a = 12.6
