Answer:
The answer to your question is below
Step-by-step explanation:
Part A.
-3x + 7y = 13
Solve the equation for "y"
7y = 3x + 13
y =
Part B.
Two lines are parallel if their slopes are the same
Two lines are perpendicular if their slope are opposite reciprocals
Slope of the first line =
Slope of the second line =
Conclusion: the lines are parallel because their slopes are the same.
Based on the calculations, the area of a rectangle to the nearest hundredth is equal to 1143.92 ft².
<h3>How to calculate the area of a triangle?</h3>Mathematically, the area of a triangle can be calculated by using this formula:
Area = 1/2 × b × h
<u>Where:</u>
By drawing a line between the points representing wicket 3 and wicket 9, we can logically deduce that wicket 2 forms a perpendicular bisector. Thus, the distance between the points representing wicket 3 and wicket 9 is given by:
Distance = 1/2 × 36.77
Distance = 36.77/2
Distance = 18.39 ft.
For the height of this triangle, we would apply Pythagorean's theorem:
h² = 25.02² - 18.39²
h² = 626.0004 - 338.1921
h² = 287.8083
h = √287.8083
h = 16.97 ft.
Area of triangle = 1/2 × b × h
Area of triangle = 1/2 × 36.77 × 16.97
Area of triangle = 311.99 ft².
For area of the rectangle, we have:
Mathematically, the area of a rectangle can be calculated by using this formula;
Area = LW
Area = 36.77 × 31.11
Area = 1143.92 ft².
Read more on area of a rectangle here: brainly.com/question/25292087
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