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oee [108]
3 years ago
10

Question 9 (5 points)

Mathematics
1 answer:
DochEvi [55]3 years ago
8 0

Answer:

D

Step-by-step explanation:

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The vertices of ∆ABC are A(2, 8), B(16, 2), and C(6, 2). what is the perimeter and area in square units
ad-work [718]
Check the picture below.

the triangle has that base and that height, recall that A = 1/2 bh.

now as for the perimeter, you can pretty much count the units off the grid for the segment CB, so let's just find the lengths of AC and AB,

\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&A&(~ 2 &,& 8~) 
%  (c,d)
&C&(~ 6 &,& 2~)
\end{array}~~~ 
%  distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AC=\sqrt{(6-2)^2+(2-8)^2}\implies AC=\sqrt{4^2+(-6)^2}
\\\\\\
AC=\sqrt{16+36}\implies AC=\sqrt{52}\implies AC=\sqrt{4\cdot 13}
\\\\\\
AC=\sqrt{2^2\cdot 13}\implies AC=2\sqrt{13}

\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&A&(~ 2 &,& 8~) 
%  (c,d)
&B&(~ 16 &,& 2~)
\end{array}\\\\\\
AB=\sqrt{(16-2)^2+(2-8)^2}\implies AB=\sqrt{14^2+(-6)^2}
\\\\\\
AB=\sqrt{196+36}\implies AB=\sqrt{232}\implies AB=\sqrt{4\cdot 58}
\\\\\\
AB=\sqrt{2^2\cdot 58}\implies AB=2\sqrt{58}

so, add AC + AB + CB, and that's the perimeter of the triangle.

8 0
3 years ago
625/1296 simplified fraction
qwelly [4]

Answer:

163/324

Step-by-step explanation:

6 0
3 years ago
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A girrafe runs at a rate of 32 miles per hour. Which equation models the situation?
Anastasy [175]

Answer:A girrafe runs at a rate of 32 miles per hour. Which equation models the situation?

Step-by-step explanation:

4 0
3 years ago
In the picture below, which lines are lines of symmetry for the figure?
marin [14]
B because they are equal parts
8 0
3 years ago
To convert meters per minute to kilometers per hour, which of the conversion facorts would be used?
madam [21]

Divide by 1000 to convert to kilometers per minute

Then multiply by 60 to convert to kilometers per hour.

Conversion factor is 60/1000  = 0.06  answer

4 0
3 years ago
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