Step-by-step explanation:
Go 2.5 units to the right from the origin (0,0) for your x coordinate
Go 2.5 units down from the origin (0,0) for your y coordinate
Where the lines meet is your point.
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:
560 ft/min
Step-by-step explanation:
Let r represent Samantha's running rate in feet per minute. Then r-230 is her walking rate. We can use the relation ...
distance = speed × time
to write an equation for the total distance Samantha went.
20r + 15(r -230) = 16150
35r - 3450 = 16150 . . . . eliminate parentheses, collect terms
35r = 19600 . . . . . . . . . . add 3450
r = 560 . . . . . . . . . . . . . . divide by the coefficient of r
Samantha ran 560 feet per minute.
Answer:
<h2>m < 1</h2>
Step-by-step explanation:
Answer:
(0, -3), (2, 1)
Step-by-step explanation:
Solve this by solving for the first variable in one of the equations, then substitute the result into the other equation.
