Step-by-step explanation:
x^2 -2kx +7k -12 = 0
two equal roots -->Δ = b^2 -4ac = 4k^2 - 4(7k-12)=0 = 4(k^2 - 7k +12)=4(k-4)(k-3)=0
so k =3 and k =4
This does not appear to be a right triangle. However, we know 2 sides and the included angle, so can find the unknown side length. Let x represent this length. Then:
x^2 = (9 m)^2 + (12 m)^2 - 2(9m)(12 m)*cos 30 degrees, or
x^2 = 81 + 144 - 216(sqrt(3) / 2). Please solve for x^2 and then solve the result for x, making sure to choose the positive value. The result will be the length of the side opposite the 30 degree angle.
With 1 of 3 angles known, and 3 of 3 sides known, you can use the Law of Sines to find the other two angles. As a reminder, the Law of Sines looks like this:
a b c
-------- = --------- = ----------
sin A sin B sin C.
You can give the 30-deg angle any name you want; then a, the length of the side opposite the 30-deg angle, which you have just found. And so on.
STEP 1
Equation at the end of step
((14 • (x2)) - 7xy) - (3•72y2)
Equation at the end of step 2
((2•7x2) - 7xy) - (3•72y2)
STEP 3
STEP 4
Pulling out like terms
4.1 Pull out like factors :
14x2 - 7xy - 147y2 = 7 • (2x2 - xy - 21y2)
Trying to factor a multi variable polynomial :
4.2 Factoring 2x2 - xy - 21y2
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (2x - 7y)•(x + 3y)
Answer:
11
Step-by-step explanation:
They would charge you about 635
