Answer:
There are two possible values: MN=5 or MN=19
Step-by-step explanation:
The points L and N are collinear, so we can visualize them on a right line as in Figure 1.
First suppose that M is between L and N as in Figure 2. Then we can compute the distance between L and N as LN=LM+MN. Substracting LM from both sides, we obtain that MN=LN-LM=12-7=5.
For the other possibility, suppose that M is not between L and N as in Figure 3. Because LM<LN, it's impossible that M is located further to the right than N. Then M isn't at the right of L. Therefore, M is at the left of L, so L is between M and N, so the distance between M and N is given by MN=ML+LN=LM+LN=7+12=19.
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I hope this helps
Answer:
x^3+3x^2-7x+15
Step-by-step explanation:
first you've got to distribute x through (x^2-2x+3)
x^3-2x^2+3x, then distribute the 5 through (x^2-2x+3)
5x^2-10x+15 now you add that to x^3-2x^2+3x
x^3+3x^2-7x+15
Answer:
y = -47
Step-by-step explanation:
To find the midpoint of two points, add them together and divide by 2
(y+33)/2 = -7
To find y, multiply each side by 2
(y+33)/2 *2 = -7*2
y+33 = -14
Subtract 33 from each side
y+33-33 = -14-33
y = -47
Let the required number be x, then 10 + x/6 = 5
x/6 = 5 - 10 = -5
x = 6 x -5 = -30
x = -30
Quotient is another word for divide
1170/45
the answer is 26
