Answer: Choice D
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Explanation:
We have a 45-45-90 triangle. If x is the leg length, then y = x*sqrt(2) is the hypotenuse.
Solving for y gets us
In this case, y = 9 is the hypotenuse which then leads to choice D.
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Another way to find the answer is to use the pythagorean theorem
a = x and b = x are the two congruent legs
c = 9 is the hypotenuse
Solving a^2+b^2 = c^2, aka x^2+x^2 = 9^2, will lead to
It is given in the problem that
Liam buys a motorcycle for $2,900
Its value depreciates annually at a rate of 12%=0.12
At the end of t years, it has a value of less than $2,000
The exponential equation modeling this situation can be written as below
The inequality representing its value less than $2,000 can be written as below
Given :
A line 2x + 1 =0 .
To Find :
The slope of the given line .
Solution :
We know , slope of line is given by the tangent of the angle between the x-axis and the line .
Now, for line 2x + 1 =0 i.e .
The line is perpendicular to x-axis and cuts the x-axis at .
Therefore , the angle between the line and x-axis is .
So , slope i.e undefined .
Therefore , the slope of given line is not defined .
Hence , this is the required solution .