Answer:
^
|
120 |
Step-by-step explanation :
Answer: Lucy will have a total of $56.15 left after buying the E-Book.
Step-by-step explanation:
To find the answer, you will need to add together the total amount of money Lucy received from every one for her birthday.
After getting the total by using addition, you will need to use subtraction to get the answer for the total remaining money.
$20.00 + $15.00 + $32.00 = $67.00
$67.00 - $10.85 = $56.15
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^4+9x^2)(y^2+3x)(y^2-3x)
Step-by-step explanation:
Answer:
48 units
Step-by-step explanation:
Let x = the amount the large cup holds
36 = 75% of x
36 = .75x. (The word "of" indicates you will be multiplying)
36 ÷ .75 = x
48 = x
A: 6x^2 - 9x
B: -7x - 8x
C: -7x^2 + 8x
D: 7x + 8x
2. 3k^3(-2k^2 - 4k + 7)
A: -6k^3 - k + 10k
B: -6k^4 - 12k^3 + 21k^2
C: k^4 - k^3 + 10k2
D: 6k^4 - 12k^3 + 10k^2
3. (2k + 1) (k - 4)
A: 2k^2 - 7k + 4
B: 2k^2 - 3k + 4
C: 2k^2 + 9k + 4
D: 2k^2 - 7k - 4
4. (-2y + 5) (y + 3)
A: -2y^2 + 8y + 15
B: -2y^2 - y + 15
C: 2y^2 + 8y + 8
D: 2y^2 - y + 8