To factor quadratic equations of the form ax^2+bx+c=y, you must find two values, j and k, which satisfy two conditions.
jk=ac and j+k=b
The you replace the single linear term bx with jx and kx. Finally then you factor the first pair of terms and the second pair of terms. In this problem...
2k^2-5k-18=0
2k^2+4k-9k-18=0
2k(k+2)-9(k+2)=0
(2k-9)(k+2)=0
so k=-2 and 9/2
k=(-2, 4.5)
Answer:
15%
Step-by-step explanation:
100-85=15
100%= the total cost of the book
85%= price she bought it for
15%= the percentage the book was reduced by
Answer:
Step-by-step explanation:
We know by the Triangle Angle-Sum Theorem that the angles of a triangle all add up to equal 180. So we find angle B:
180 - 82 - 55 = 43
So angle B = 43. Now we can use the Law of Sines to solve for side b:

Cross multiply to get
b sin(55) = 8 sin(43) and divide to solve for b:
so
b = 6.6605
Answer:
3^9 * 3^7
Step-by-step explanation:
I don't really know how to explain it lol