How do you determine whether to draw the boundary line of the graph of a linear inequality dashed or solid?
1 answer:
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Answer:
Please find attached the required graph of the inequality representing the temperatures yeast will NOT thrive
Step-by-step explanation:
The given parameters are;
The temperature range, y, in which yeast thrives is 90°F ≤ y ≤ 95°F
Therefore, the temperature range, y', in which yeast will not thrive is 90°F > y and y > 95°F
The graph of the inequality that represents the temperature is therefore given as shown in the attached drawing.
Answer:
- (8, -8)
- 100 square units
Step-by-step explanation:
The diagonals of a rectangle have the same midpoint, so for points A, B, C, D, we must have ...
(A+C)/2 = (B+D)/2
D = A + C - B
D = (-2, -8) +(8, 2) -(-2, 2) = (-2+8+2, -8+2-2)
D = (8, -8)
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The side lengths are 2-(-8) = 10, and 8-(-2) = 10. The area is the product of the side lengths, so is 10×10 = 100 square units.
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<em>Comment on side lengths</em>
When the end points of one side are on the same vertical line, the length of that side is the difference of y-coordinates. When the points lie on the same horizontal line, the side length is the difference of x-coordinates.
Width = 4ft
Length = 6ft
<u>Explanation: </u>
Let length = l ,
So, width = 2l-8
Perimeter of rectangle = 2x(length + width)
According to the question,
Hence,
Width = 4ft
Length = 6ft