We are given coordinates of A, B, C and D :
A(2, 4), B(9, 8), C(-1, 2), and D(3, -5).
Now, we need to find the slopes of AB and CD.
Slope of AB is :
.
Slope of CD is:
.
<em>Slope of CD is negative reciprocal of slope of slope of AB. </em>
<h3>Therefore, lines AB are CD are perpendicular.</h3>
Answer:
the radius is 13
the diameter is 40.82 inches squared
the area is 530.66
Step-by-step explanation:
Answer:
its 3
Step-by-step explanation:
lol
Answer:
Step-by-step explanation:
the graph shifts 2 units right and 7 units down
The price of a staff ticket and the price of a student ticket is $8 and $14
Given:
Day 1:
Number of staff tickets sold = 3
Number of students tickets sold = 1
Total revenue day 1 = $38
Day 2:
<em>Number of staff tickets sold</em> = 3
<em>Number of students tickets sold</em> = 2
<em>Total revenue day</em> 2 = $52
let
<em>cost of staff tickets</em> = x
<em>cost of students tickets</em> = y
The equation:
<em>3x + y = 38 (1)</em>
<em>3x + y = 38 (1)3x + 2y = 52 (2)</em>
subtract (1) from (2)
2y - y = 52 - 38
y = 14
substitute y = 14 into (1)
3x + y = 38 (1)
3x + 14 = 38
3x = 38 - 14
3x = 24
x = 24/3
x = 8
Therefore,
cost of staff tickets = x
= $8
cost of students tickets = y
= $14
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