Answer:
The two possible solutions are x = 7, or x = -2
which agree with answer a) in the list of options
Step-by-step explanation:
Start by moving all terms to one side of the equal sign, and then factoring out the constant term:
The constant term "-14" has ossible factors: (-1), (1) (-2), (2), (-7), (7), (-14), (14) and we look for a pair whose combining results in "-5" (the coefficient of the middle term. We find (-7) and (2) the appropriate factors, so we use then to split the middle term and then factor by grouping:
Then if the product of these two binomial factors is zero, it means that the first binomial is zero, or the second one is zero. That is:
( x - 7 ) = 0 which means x = 7
or
( x + 2 ) = 0 which means x = -2
So the two possible solutions are x = 7, or x = -2
Answer:
the radius is about 14.47 ft
Step-by-step explanation:
658=pi*r^2 Given
658=3.14*r^2 Substitution
209.55=r^2 Division property of equality
√209.55=√r^2 square root property of equality
the radius is about 14.47 ft
Answer:
D. 23/27
Step-by-step explanation:
The good news is, they wrote out all the possible options for you.
There are 27 possibilities in all, so that's our denominator.
They want to know which possibilities have a W in there OR an R comes first. So we'll count up the possibilities that start with R. There are 9.
Then, of the remaining 18, 14 include a W somewhere in there.
9 + 14 = 23 out of 27.
We are not counting the Ws in the possibilities that start with R, because of the OR in the sentence.
Please let me know if you have questions about this.
Answer:
x=45°
Step-by-step explanation:
The 160° plus the unlabeled angle to the left of it are supplementary, meaning when added they equal 180°. The unlabeled angle will therefore be 20°. The angle across from the 20° will also be 20°. 115° + 20° = 135°. Now all that is left on the top half is x.
180° - 135° = 45°
