Answer:
Step-by-step explanation:
Given
Required
The equivalent
We have:
Expand
Collect like terms
Hence, the equivalent is:
Answer:
1)
2)
3)
4)2
Step-by-step explanation:
1) 5x + 3y = 8
3y=8-5x
hence intercept is
2) 10x + 6y - 12 = 4
10x + 6y = 16
6y=16-10x
hence intercept is
3) 2x – 3y = 5
3y=2x-5
hence intercept is
4) 3x + 2y = 1
2y=-3x+4
hence intercept is 2
There are a bunch of p3rverts on this app:/ explanation:
Answer:
12
Step-by-step explanation:
By comparing the dimensions above with the dimensions of Taylor's first rectangle, we have the following:
- No, a length of 6 in, width 3/4 in. is not proportional.
- Yes, a length of 1/2 in, width 4 in. is not proportional.
- No, a length of 1 1/8 in, width 9 in. is not proportional.
- No, a length of 3 in, width 5 5/8 in. is not proportional.
<h3>What is a direct proportion?</h3>
Mathematically, a direct proportion (direct variation) can be represented the following mathematical expression:
y = kx
Where:
- y and x are the variables or dimensions.
- k represents the constant of proportionality.
For the dimensions of the rectangular pieces of paper to be proportional, the length and width must remain in a constant ratio.
Next, we would determine the constant of proportionality (k) as follows:
k = y/x
k = (3/8)/3
k = 3/24
k = 1/8
For dimension 1, we have:
k = y/x
k = (6)/(3/4)
k = 24/3
k = 8 (No).
For dimension 2, we have:
k = y/x
k = (1/2)/4
k = 1/2 × 1/4
k = 1/8 (Yes).
For dimension 3, we have:
k = y/x
k = (1 1/8)/9
k = (9/8)/8
k = 9/8 × 1/8
k = 9/64 (No).
For dimension 4, we have:
k = y/x
k = (3)/(5 5/8)
k = 3/(45/8)
k = 3 × 8/45
k = 24/45 (No).
Read more on proportionality here: brainly.com/question/12866878
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Complete Question:
Taylor works on an art project that uses only rectangular pieces of paper. The first rectangle has length 3/8 in. and width 3 in. Determine which dimensions below are proportional to the dimensions of Taylor's first rectangle.
