Answer:
LM = 16
Step-by-step explanation:
From the question given:
L is the midpoint of NM
NL = 3x + 1
LM = 8x - 24
LM =?
Next, we shall determine the value of x.
This can be obtained as follow:
Since L is the midpoint of NM, it means that NL and LM are equal i.e
NL = LM
Thus, we can obtain the value of x as follow:
NL = 3x + 1
LM = 8x - 24
NL = LM
3x + 1 = 8x - 24
Collect like terms
3x - 8x = - 24 - 1
-5x = - 25
Divide both side by - 5
x = -25/-5
x = 5
Finally, we shall determine the length of LM as follow:
LM = 8x - 24
x = 5
LM = 8(5) - 24
LM = 40 - 24
LM = 16
Therefore, the length of LM is 16
Answer:
The most important lab safety rule is to know the location of and how to use safety equipment, such as a fire extinguisher.
Step-by-step explanation:
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Answer:
The product of w and 3 is greater than 15.
(w x 3)> 15
3w>15
Step-by-step explanation:
"Product" signifies multiplication. "of" means w is being multiplied by 3.
The correct answer is:
b.) f(n) = 3 • (-2)^(n-1)
Further explanation:
Given sequence is:
3, -6, 12, -24, ...
We have to find the common ratio first.
Common ratio is the ratio between two consecutive terms of a geometric sequence.
It is denoted by r.
So,

General formula for geometric sequence is:

Putting the values of a1 and r

Hence,
The correct answer is:
b.) f(n) = 3 • (-2)^(n-1)
Keywords: Geometric Sequence, Explicit formula
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