Answer:
x < 1/2
Step-by-step explanation:
Distribute: -9x - 18 > 9x - 27
Collect like terms: -18x > -9
Divide both sides by -18: x < 1/2.
The sign changes because both sides were divided by a negative number.
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Answer:
D. A vertical translation of f(x) four units downward.
Step-by-step explanation:
Recall that the transformations form of an absolute value function is:
f(x) = ±a|b(x-h)|+k
Where 'a' is a vertical stretch/compression
'b' is a horizontal stretch/compression
'h' is a horizontal shift
'k' is a vertical shift
In g(x) = |x| -4, we can derive a k value of -4.
This means that from f(x) to g(x), there has been a vertical translation of f(x) four units downward.
Solution:
Distance between two points = √(3−4)^2+(−2−3)^2
= √(−1)^2+(−5)^2
= √1+25
= √26
= 5.099
Distance between points (4, 3) and (3, -2) is 5.099.
Answer: 36/200 = 18/100 = 18%
Step-by-step explanation:
Answer:
You can use Pythagoras theorem to calculate x:
12² + 14² = x²
144 + 196 = x²
x² = 340
x = √340 ≈ 18,44
