Justin's statement would be the best. In order to change 3/5 into 6/10, both sides would need to be multiplied by 2.
Hoi!
To solve this, first plug in the values for x and y.
x = 2, so anywhere you see x, put 2 in its place.
y = 3, so anywhere you see y, put 3 in its place.
![4(2) + \frac{1}{2}(3)](https://tex.z-dn.net/?f=4%282%29%20%2B%20%20%5Cfrac%7B1%7D%7B2%7D%283%29)
4 × 2 = 8
![\frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20)
× 3 =
![1 \frac{1}{2}](https://tex.z-dn.net/?f=1%20%5Cfrac%7B1%7D%7B2%7D%20)
![8 +1 \frac{1}{2}](https://tex.z-dn.net/?f=8%20%2B1%20%5Cfrac%7B1%7D%7B2%7D)
=
is your answer.
Answer:
perpendicular
Step-by-step explanation:
To determine if AB and CD are parallel, perpendicular, or neither, we need to get the slope of AB and CD first
Given A (−1, 3), B (0, 5),
Slope Mab = 5-3/0-(-1)
Mab = 2/1
Mab = 2
Slope of AB is 2
Given C (2, 1), D (6, −1)
Slope Mcd = -1-1/6-2
Mcd = -2/4
Mcd = -1/2
Slope of CD is -1/2
Take their product
Mab * Mcd = 2 * -1/2
Mab * Mcd = -1
Since the product of their slope is -1, hence AB and CD are perpendicular
Answer:
<h2>181.33</h2>
Step-by-step explanation:
Since the base of the pyramid PABCD is a rectangle, the shape in question is a rectangular based pyramid. Volume of a rectangular based pyramid is expressed as V = 1/3 * Base Area * Height of the pyramid.
Given a rectangle ABCD with AB = 8 and BC = 4, the area of the rectangle will be equivalent to the base area of the pyramid.
Base Area = Length * Breadth
Base Area = AB * BC
Base Area = 8*4 = 32
If
, and PB = 17, then the height of the pyramid is PB = 17.
Volume of the pyramid = 1/3 * 32 * 17
Volume of the pyramid = 1/3 * 544
Volume of the rectangular based pyramid = 181.33
9514 1404 393
Answer:
y = 2
Step-by-step explanation:
The variable x can be eliminated by subtracting the first equation from the second.
(-x +4y) -(-x -y) = (15) -(5)
5y = 10 . . . . . . . simplify
y = 2 . . . . . . . . . divide by 5