Answer:
Step-by-step explanation:
<u>Inequalities</u>
To solve the inequality:
We need to perform the required operations on both sides of the inequality to have the variable w isolated.
First, we subtract 9:
Subtracting 6w:
Operating:
-7w>-1
Now we divide by -7 but recall that when dividing by a negative number, we must flip the inequality sign:
Operating:
Solution:
Answer:
11. B.
12. C.
13. A.
14. D.
Step-by-step explanation:
for 11: we know that angles D and J are congruent from the tick marks, we also know that ∠FKD and ∠LKJ are congruent (vertical angles are congruent) therefore we need the sides between them
for 12: we know that ∠STU and ∠TUG are congruent, we also know that line TU is congruent to TU (reflexive property), therefore we need the angles adjacent to the first angles listed.
for 13: we know that ∠PQR and ∠CQR are congruent, we also know that lines RQ and RQ are congruent (reflexive property), therefore we need the other angles to which line RQ is between.
for 14: we know ∠B is congruent to ∠T and line AB is congruent to line ZY. therefore the angle cannot be connected to lines AB and ZY.
Answer:
it's c
Step-by-step explanation:
You would multiply by
.
When you rationalize the denominator, you multiply by the conjugate of the denominator. The conjugate is the same numbers and radicals, but with the sign of the radical switched.
Answer:
x = -5, x = -6
Step-by-step explanation:
After canceling common terms from numerator and denominator, there are two factors remaining in the denominator that can become zero. The vertical asymptotes are at those values of x.
The denominator will be zero when ...
x + 5 = 0 . . . . at x = -5
x + 6 = 0 . . . . at x = -6
