If B is the midpoint of segment AC, use the information to find the missing value: AB = 2x + 1, and BC = 5x - 44, what is the length of AB

AB is 31.

Step-by-step explanation:

So we know that B is the midpoint of AC. This means that:

by the definition of midpoint.

We know that AB is 2x+1 and BC is 5x-44. Substitute:

Now, find the value of x.

Subtract 1 from both sides:

Subtract 5x from both sides:

Divide both sides by -3:

So, the value of x is 15.

AB is 2x+1.

Substitute 15 into x. So:

Multiply:

Add:

So, the length of AB is 31.

And we're done!

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

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