Answers:
C - The value of w cannot be negative.
D - The variable l is substituted with the value 20.
E - To isolate the variable w, the subtraction property of equality is applied.
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Part 1) The radius of the circle is r=17 units. Part 2) The points (-15,14) and (-15,-16) are situated on this circle. Step-by-step explanation: Step 1 Find the radius of the circle. We know that the distance from the center of the circle to any point on its circumference equals the radius of the circle. The formula to determine the distance between two points is equal to......we have (-7, -1) and (8, 7) substitute... Step 2 Determine the y-coordinate of point (-15,y). The standard form of the circle's equation is given by... where (h,k) represents the center, and r is the radius. Replace the values, substituting x=-15 in the equation... square root both sides... ultimately, we find two solutions: point (-15,14) and point (-15,-16) refer to the attached figure for a clearer understanding of the problem.
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We understand that
1 foot corresponds to 12 inches.
Step 1
Dimensions of the plywood needed are
(12+3+3) x (18+3+3)------> 18 inches x 24 inches.
Step 2
Convert inches into feet:
18 in-------> 18/12=1.5 ft.
24 in------> 24/12=2 ft.
Step 3
To calculate the area of plywood needed:
A=b*h------> 1.5*2------> A=3 ft².
The final result is
3 ft²
