Find the value of y. A. 16 B. \sqrt{55} C. 8\sqrt{3} D. 6
2 answers:
<h2>Answer:</h2>
Option: B is the correct answer.
The value of y is:
We know that when a altitude is drawn from the vertex of a right angled triangle to the hypotenuse of the triangle then the length of the altitude is the geometric mean of the length of two segments of the hypotenuse.
Here by looking at the figure we have:
The altitude is denoted by y.
and the two segments of the hypotenuse have length 5 and 11.
Hence, we have:
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Hi!
<h3>How do we use the substitution method?</h3>To solve using the substitution method, we first want to isolate any of the variables from one of two equations, and then you take the value of that and plug it into the other equation.
<h3>Given:</h3><h3>Normally, our step one would be to pick a variable and isolate it, but it looks like we already have the y-value in both equations isolated! So our step one is already done!
<h3>Step Two:</h3>Plug the isolated variable into the other equation.
We will use the value of y in the first one, and plug it into the second.
The value of y is "4x - 10", so we will change "y" in the second equation to "4x - 10", like so:
Algebra!
You should be familiar with how to solve equations.
So:
Add 10 to both sides:
Add 3x to both sides:
Divide both sides by 7:
Now, take the x value and plug it into one of the other equations and solve for y.
Therefore, our answer is (2, -2).
For a fantastic explanation of how to do the substitution method, see: