Answer:
C is the answer
Step-by-step explanation:
Answer:
- Two unique triangles possible
Step-by-step explanation:
Given two sides of 10 cm and one 40° angle
<u>If we use these, we'll get isosceles triangle with:</u>
1. Included 40° angle.
<u>Then the other angles will be same and measure:</u>
2. Adjacent 40° angle. Then one of the angles must be 40° angle as opposite of 10 cm sides.
<u>The remaining angle will measure:</u>
There no more unique triangles possible, so the answer is two.
Subtracting the second equation by 18 on both sides, we have xy=-18. Next, we divide both sides by x to get y=-18/x Plugging that into the first equation, we have x+2(-18/x)=9. Multiplying both sides by x, we get x^2-36=9x. After that, we subtract both sides by 9x to get x^2-9x-36=0. Finding 2 numbers that add up to -9 but multiply to -36, we do a bit of guess and check to find the answers to be -12 and 3. Factoring it, we get
x^2-12x+3x-36=x(x-12)+3(x-12)=(x+3)(x-12). To find the x values, we have to find out when 0=(x+3)(x-12). This is simple as when you multiply 0 with anything, it is 0. Therefore, x=-3 and 12. Plugging those into x=-18/y, we get x=-18/y and by multiplying y to both sides, we get xy=-18 and then we can divide both sides by x to get -18/x=y. Plugging -3 in, we get -18/-3=6 and by plugging 12 in we get -18/12=-1.5. Therefore, our points are (-3,6) and (12, -1.5)
This has a slope of 3, you can plot it on a graph and count rise over run.
