Answer:
x = 30
y = 15
Step-by-step explanation:
<u><em>All the angles are </em></u><u><em>90°</em></u><u><em>, so set 6y and 3x equal to 90, like so:</em></u>
6y = 90
<u><em>Divide both sides by 6:</em></u>
y = 15
<u>Solving for x:</u>
3x = 90
<em><u>Divide both sides by 3:</u></em>
x = 30
Answer:

Step-by-step explanation:
I will assume the following:
- You know how to use the quadratic formula
- You know how to simplify radicals
- You know how to use the pythagorean theorem.
The challenge of this exercise comes from using the pythagorean theorem and setting up a few equations.
Given that we have a segment 36 units long and another segment that is 16, it is trivial to get the other segment, 20. Additionally, there are two sides that I want to name so that way I can make a couple of substitutions. I will call these side a and side b. (see attachment 1)
Now comes with setting up three equations. I will start with the two smaller triangles, using side a and side b. See attachments 2 and 3.
Now with the big triangle. I will set up one last equation. See attachment 4.
Given what we know about attachment 2 and 3, we can make two substitutions. See attachment 5. I assume you know how to do the rest and arrive at your only real solution.
Multiply first formula by 2, then do formula 1-formula 2
<span>Let x = first number
Let y = second number
x + y = 4
x * y = (-12)
Solve the first equation for x.
x = 4 - y
Now substitute this value of x into the second equation.
(4 - y) * y = (-12)
4y - y² = (-12)
y² - 4y - 12 = 0
(y + 2) * (y - 6) = 0
Now set both polynomials equal to zero
y + 2 = 0
y = -2
y - 6 = 0
y = 6
If you substituted these two values for y into either equation and solve for x, you would get the combination of 6 and -2
Hope I was able to help you! :)
</span>
Answer:
Any Number
Step-by-step explanation:
g(x) can be any number greater or smaller than f(x) by the value of k - and so whatever k is, is how to make f turn to g.