SOLUTION: In this graph, what is the length for line {{{ a }}}? Graph: https://s16.postimg.org/mg7naguid/math1.png A.) {{{ 10 }}} B.) {{{ 4 }}} C.) {{{ 3 }}} D.) {{{ 5 }}} Thank you.

Algebra ->  Graphs -> SOLUTION: In this graph, what is the length for line {{{ a }}}? Graph: https://s16.postimg.org/mg7naguid/math1.png A.) {{{ 10 }}} B.) {{{ 4 }}} C.) {{{ 3 }}} D.) {{{ 5 }}} Thank you.      Log On


   

Question 1058822: In this graph, what is the length for line +a+?
Graph: https://s16.postimg.org/mg7naguid/math1.png
A.) +10+
B.) +4+
C.) +3+
D.) +5+
Thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If you draw a vertical line from the terminal point (-3,-4) to the x axis, you'll land at (-3,0). A right triangle forms with the right angle on the x axis.

This triangle has legs of 3 and 4. The hypotenuse is 5. We can see this if we solve for x below

a^2+b^2 = c^2
3^2+4^2 = c^2
c^2 = 25
c = sqrt(25)
c = 5

So the length of segment 'a' is 5 units.

The final answer is choice D) 5