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The slope of a trend line that passes through the points (5, 80) and (7, 65) is -7.5.
Step-by-step explanation:
If the line is passing through two points (x1, y1) and (X2, y2). The slope (m) can be calculated using following formula.
In this case,
x1 = 5
x2 = 7
y1 = 80
y2 = 65
By putting the values in formula, we get
or
m = -7.5
Therefore, the slope of a trend line that passes through the points (5, 80) and (7, 65) is -7.5.
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Answer:
The rule of translation :
The vertices of image is R'(2,-9), S'(1,-9), T'(6,-3) and U'(2,-3).
Step-by-step explanation:
The vertices of a rectangle are R(-5,-5), S(-6,-5), T(-1,1), U(-5,1).
It is given that a translation maps R to the point (2,-9).
Difference between x-coordinates:
Difference between y-coordinates:
The x-coordinate increased by 7 and y-coordinate decreased by 4. It means the figure shifts 7 units right and 4 units down.
The rule of translation is
The vertices of image are
Therefore, the vertices of image are R'(2,-9), S'(1,-9), T'(6,-3) and U'(2,-3).
Answer: 162 in²
Step-by-step explanation:
The factors of 54 are listed below:
- 1
- 2
- 3
- 6
- 9
- 18
- 27
- 54
18 and 9 are the two factors that when plugged into the equation below, equals 54:
This can also be written as:
So now that we have our two factors, we need to multiply them by each other to get our answer.
18 times 9 = 162
Our answer is 162
The area of the garden is 74 square feet
<h3>How to determine the area of the garden?</h3>The complete question is added as an attachment
From the attached figure, we have the following shapes and dimensions:
- Rectangle: 10 by 5 feet
- Trapezoid: Bases = 10 and 6; Height = 3
The rectangular area is
A1 = 10 * 5
Evaluate
A1 = 50
The area of the trapezoid is
A2 = 0.5 * Sum of parallel bases * height
This gives
A2 = 0.5 * (10 + 6) * 3
Evaluate
A2 = 24
The total area is
Total = A1 + A2
This gives
Total = 50 + 24
Evaluate
Total = 74
Hence, the area of the garden is 74 square feet
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