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: 620
Step-by-step explanation:
$40 x 5.5 hrs = $220 This means that she earned $220 tutoring the first student.
$40 x 10 hrs = $400 She earned $400 tutoring the second student.
$220 + $400 = $620 She earned $620 in total that week.
Answer:
Converges at -1
Step-by-step explanation:
The integral converges if the limit exists, if the limit does not exist or if the limit is infinity it diverges.
We will make use of integral by parts to determine:
let:
We can therefore determine that if x tends to 0 the limit is -1
Answer:
<h2>
a₅ = 162</h2>
Step-by-step explanation:
The nth term in the geometric sequence: 
a₁ = 2 and r = 3
So:
13. There are 3 feet in a yard. You divide 34 by 3 and get 11 with one left over. So it should be 11 yards and 1 foot.
14. 16 oz. = 1 lb. If you multiply 16 (oz) x 8 (lbs.) you get 128 ounces.
