AB^2 + BC^2 = AC^2
AB^2 + 6^2 = square root 117^2
AB^2 + 36 = 117
Now subtract 117 from both sides
AB^2 = 81
AB = square root 81 = 9

Therefore AB is 9 cms.
Answer:

Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula
. Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):
So, the slope of the line is
.
2) Next, use the point-slope formula
to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the
,
and
into the formula.
Since
represents the slope, substitute
in its place. Since
and
represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:

Answer:
I.M.S. infinite many solutions
Step-by-step explanation:
this will come out to be the same line.
So, we need to find how many students voted for Mark, I assume.
So, we need to divide 30 by 5
30 ÷ 5 = 6
So, 3 × 6 =18.
So, Mark received 18 votes
I think this is the answer.
Glad I could help, and good luck!
AnonymousGiantsFan
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