Answer:
<h3> (x-8)²+(y-3)² = 81</h3>
Step-by-step explanation:
The general equation of a circle is expressed as;
(x-a)²+(y-b)² = r² where;
(a, b) is the centre of the circle
r is the radius
Given the centre (8, 3) and the radius of 9, the equation of the circle will be;
(x-a)²+(y-b)² = r²
(x-8)²+(y-3)² = 9²
(x-8)²+(y-3)² = 81
hence the required equation is (x-8)²+(y-3)² = 81
Answer:
Step-by-step explanation:
Two lines are perpendicular if the first line has a slope of and the second line has a slope of .
With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:
We now know that for the first line, which means that the slope of the second line is . With this, we have the following equation for our new line:
where is the Y-intercept that we now need to determine with the coordinates given in the problem statement, :
Finally, we can create our line:
Answer:
141 square inches
Step-by-step explanation:
Area of a triangle: Base*Height*1/2
Area of a trapezoid: Height * (Base1 +Base2) / 2
Triangle Base = 6
Triangle Height = 8
6*8*1/2 = 24 square inches
Trapezoid Height = 9
Trapezoid Base1 = 16
Trapezoid Base2 = 10
9*(16+10) / 2 = 117 square inches
Total = Area of triangle + Area of trapezoid
Total = 24 + 117 = 141 square inches