Answer:
See explanartions below
Step-by-step explanation:
Given the coordinates A(-6,3) B(0,5) C(2,-1)
We first need to get the slope of AB, BC and AC
For AB;
A(-6,3) B(0,5)
Mab = 5-3/0-(-6)
Mab = 2/6
Mab = 1/3
For BC;
B(0,5) C(2,-1)
Mbc = -1-5/2-0
Mbc = -6/2
Mc = -3
For AC:
A(-6,3) C(2,-1)
Mac = -1-3/2-(-6)
MAc = -4/8
Mac = -1/2
Taking the product of Mab and Mbc
Mab * Mbc = 1/3 + -3
Mab * Mbc = -1
<em>Since the product of Mab and Mbc is -1, hence AB abd BC are perpendicular showing that one of the angle of triangle ABC is 90 degrees</em>
Minus them both to get your answer
So baically
reresent
s=number of studne tickes bouthgt
a=number of adult tickets bought
300 tickest sold
total=300
a+s=300
value=rate times number of peple
student value=4s
adults value=10a
total value=1950
4s+10a=1950
a. system of equations are
s+a=300
4s+10a=1950
b. solve
s+a=300
4s+10a=1950
a+s=300
multiply by -4
-4s-4a=-1200
add to other eqaution
4s+10a=1950
<u>-4s-4a=-1200 + </u>
0s+6a=750
6a=750
divide 6
a=125
subsiute
s+a=300
s+125=300
subtract 125
s=175
a. s+a=300
4s+10a=1950
b. solution above
175 students
125 aduls
