Answer:
ABCD is not a parallelogram
Step-by-step explanation:
Use the distance formula to determine whether ABCD below is a parallelogram. A(-3,2) B(-3,3) C (5,-3) D (-1.-5)
We have to find the length of the sides of the parallelogram using the formula below
= √(x2 - x1)² + (y2 - y1)² when given vertices (x1, y1) and (x2, y2)
For side AB
A(-3,2) B(-3,3)
= √(-3 -(-3))² + (3 -2)²
= √0² + 1²
= √1
= 1 unit
For side BC
B(-3,3) C (5,-3)
= √(5 -(-3))² + (-3 -3)²
= √8² + -6²
= √64 + 36
= √100
= 10 units
For side CD
C (5,-3) D (-1.-5)
= √(-1 - 5)² + (-5 - (-3))²
= √-6² + -2²
= √36 + 4
= √40 units
For sides AD
A(-3,2) D (-1.-5)
= √(-1 - (-3))² + (-5 -2)²
= √(2² + -7²)
= √(4 + 49)
= √53 units
A parallelogram is a quadrilateral with it's opposite sides equal
From the above calculation
Side AB ≠ CD
BC ≠ AD
Therefore, ABCD is not a parallelogram
Answer:
y = 2x + 4
Step-by-step explanation:
First find 2 points on the line to determine slope.
(0, 4) and (2, 8)
Slope = 
y = 2x + b
b = y - intercept
b = 4
y = 2x + 4
Answer:
enrollment decreases by 14.34%.
Step-by-step explanation:
Given that number of students enrolled in 2000 = 823
Given that number of students enrolled in 2010 = 705
705 is less than 823 so that means number of students enrollment is decreasing.
Decrease = 823-705 = 118
Percent decrease is given by formula:
which is approx 14.34%.
Hence final answer is that enrollment decreases by 14.34%
Answer:
6 and 7
Step-by-step explanation:
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