The answer would be 1000. Hope this helps.
Answer:
0 < t < 1.04 or t ∈ (0, 1.04)
Step-by-step explanation:
Solving in steps:
Answer:
Step-by-step explanation:
Since L is the midpoint of MN, by the definition of midpoint:
We can picture the following segment:
M----------L----------N
We know that and . Since the two segments are equivalent, we can set them equal to each other:
Now, let's solve for x. Subtract -7 from both sides:
Subtract 3x from both sides:
Divide both sides by -1:
So, the value of x is 10.
With this, we can find the remaining lengths.
We know that ML is .
Substitute 10 for x. So, the length of ML is:
We know that LN is . So, the length of LN is:
Finally, MN will be the combined lengths of ML and LN. So:
And we're done!
The lengths of each segment are:
ML = 27, LN = 27, and MN = 54.
We have,
Let's use the information given to find the values of ML, LN, and MN.
ML = 2x + 7
LN = 3x - 3
L is the midpoint of MN, which means that ML is equal to LN:
2x + 7 = 3x - 3
Now, let's solve for x:
Move the x term to one side of the equation:
2x - 3x = -3 - 7
-x = -10
Now, multiply both sides by -1 to get rid of the negative sign:
x = 10
Now that we have the value of x, we can find the lengths ML, LN, and MN:
ML = 2x + 7
ML = 2(10) + 7
ML = 20 + 7
ML = 27
LN = 3x - 3
LN = 3(10) - 3
LN = 30 - 3
LN = 27
MN = ML + LN
MN = 27 + 27
MN = 54
Thus,
The lengths of each segment are:
ML = 27, LN = 27, and MN = 54.
Learn more about midpoints of linesegments here:
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