AM = 5x - 2 and MB = 2x + 19, Find the length of AB

The answer would be: -0.01

Step-by-step explanation:

1) State what is given

AM = 5x -2 and MB = 2x +19

2) Make an equation that can satisfy the problem

AM + BM = AB

This is the equation, because if I am to put this on a line,

A                        M                         B

---

You can see that is you combine the lengths AM and BM you can find the total length of  AB.

A                        M         +           M                        B    

--          +           --

(M point is actually one point, but I am trying to show that if the line were to be cut in half, then put back together you get you full length, which is AB)

3) Substitute

(5x - 2) + (2x + 19) = AB

4) Now Solve!

5x - 2 + 2x + 19 = AB

(Rearrange to combine like terms)

5x + 2x + 19 - 2 = AB

7x + 17 = AB

(That is your equation to find AB! But they want the specific length)

So...

We solve it!

7x = -17

(By moving the 17 to the other side of the = sign, it becomes negative)

7x = -17

7       7

(Dividing both sides by 7 in order to get x alone)

x = -2.43

(I rounded to the hundredths place)

Now substitute that into x into you original equation)

5(-2.43) - 2 + 2(-2.43) + 19 = AB

-12.15 - 2 - 4.86 + 19 = AB

-14.15 - 4.86 + 19

-19.01 + 19 = -0.01

= -0.01

(I believe this would be the answer, but it doesn't seem to fit right, so please understand, that if this is wrong, I AM SO SORRY ;-;)

(I tried my best on this problem, but I bet it isn't the answer, so if I get this wrong tell me so that I can remove it! :)

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier