2x + 3y + 2(x - y) - 3x
First you apply the distributive property:
2x +3y + 2(x) - 2(y) - 3x
2x + 3y +2x - 2y - 3x
The you combine like terms:
2x + 2x - 3x +3y - 2y
4x - 3x + y
x (x could also be 1x) + y (y could also be 1y)
The answer is x + y or 1x + 1y
Answer:
x > -3 and y ≥ 1/2x - 2
Step-by-step explanation:
blue line = x > -3
red line = pass (0, -2) (4, 0)
y = 1/2x - 2
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Answer:
See below ~
Step-by-step explanation:
<u>Question 18</u>
- Diameter = Difference in y-coordinates
- Diameter = 12 - 2 = 10
- We know : Radius = Diameter/2
- Radius = 10/2
- Radius = 5 cm
- <u>(1) 5 cm</u>
<u></u>
<u>Question 19</u>
- 3x² - 34x - 24 = 0
- (3x + 2)(x - 12) = 0
- Solution set = {-2/3, 12}
- <u>(3) {-2/3, 12}</u>
The dimensions of the rectangle are 150 m and 75 m respectively.
Let x be the length of the rectangular area and y be the width of the rectangular area.
Its area A = xy
Given that its area is 11,000 m², xy = 11000 m² (1)
Also, since the bounding side of the building is 150 m long and the fencing is 300 m, the perimeter of the rectangular area is P = 150 m + 300 m = 450 m.
Also, the perimeter of the rectangular area is P = 2(x + y)
Since P = 450 m
2(x + y) = 450 m
x + y = 225 m (2)
Since the bounding side of the building represents one dimension of the rectangle, x = 150 m.
Substituting x into (2), we get the other dimension
x + y = 225
150 + y = 225
y = 225 m - 150 m
y = 75 m
So, the dimensions of the rectangle are 150 m and 75 m respectively.
Learn more about dimensions of a rectangular area here:
brainly.com/question/16818606