Answer:
Step-by-step explanation:
Given the following lengths AB = 64, AM = 4x + 4 and BM= 6x-10, If M lies on the line AB then AM+MB = AB (addition property)
Substituting the given parameters into the addition property above;
AM+MB = AB
4x + 4 + 6x - 10 = 64
combine like terms
4x+6x = 64+10-4
10x = 74-4
10x = 70
Divide both sides by 10
x = 70/10
x = 7
Note that for M to be the midpoint of AB then AM must be equal to BM i.e AM = BM
To get AM ;
Since AM = 4x+4
substitute x = 7 into the function
AM = 4(7)+4
AM = 28+4
AM = 32
Similarly, BM = 6x-10
BM = 6(7)-10
BM = 42-10
BM = 32
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<em>Since AM = BM = 32,. then M is the midpoint of AB</em>
Answer:
x = 12
Step-by-step explanation:
(7x+4)+(2x+5)+(5x+3) = 180
so if you take out the brackets it would be:
7x+4+2x+5+5x+3 = 180
Then you add the similar variables together which would look like:
14x+12=180
Take away 12 from both sides
14x = 180 - 12
14x = 168
Divide 14 from both sides
x = 168/14
x = 12
It would be 3840. The pattern is: x2, x4, x6, x8, x10. Hope that helps! :) :D
5y^2-2y-2 = 0
y = 1/5+ √11/5 or 1/5 - √11/5
