Question 1 (Multiple Choice Worth 4 points)
[7.02] Write the equation of the line in standard form that contains the centers of the circles (x – 4)2 + (y + 2)2 = 15 and (x – 7)2 + y2 = 37.
2x – 3y = -14
2x – 3y = 14
2x – 11y = 14
2x – 11y = -14
none of these
Question 2 (Multiple Choice Worth 4 points)
[7.06] In a circle with a radius of 58 units, the center is 42 units away from a chord. Find the length of the chord.
Question 3 (Multiple Choice Worth 4 points)
[7.09] Find the measure of angle JLN.
Question 4 (Multiple Choice Worth 4 points)
[7.10] In circle A, is a tangent. Find AD if CD = 24 and BD = 36.
Question 5 (Multiple Choice Worth 4 points)
[7.12] Describe the locus of points in a plane that are 7 cm from point C.
a circle with a radius of 7 cm
a segment 14 cm long
a circle with a radius of 14 cm
a sphere with a radius of 7 cm
Question 6 (Essay Worth 5 points)
[7.10]is a common external tangent of circle R and circle S. The radius of circle S is 14 feet and the radius of circle R is 4 feet. TU = 8 ft. Find PQ.
Question 7 (Essay Worth 5 points)
[7.12] In a cone with a slant height of 7.5 feet, the slant height forms a 38 degree angle with the radius. Find the surface area and volume of the cone. Show all work.
Question 8 (Essay Worth 5 points)
[7.12] Given a cylinder with a surface area of 140 p units squared and a height of 9 units. Find the volume of the cylinder. Show all work.
Question 9 (Essay Worth 5 points)
[7.02] Write the equation of the circle containing the points J(-3, -3), K(1, -3), and L(1, 1). Show all work to receive credit.
Question 10 (Essay Worth 5 points)
[7.06] A circle is given with an inscribed equilateral triangle and each side of the triangle having a measurement of 24 cm. What is the probability of selecting a point at random inside the circular region, but not inside the triangle, assuming that the point cannot lie outside the circular region. Leave your answer in exact form.
Question 11 (Essay Worth 5 points)
[7.09] ABCD is an inscribed quadrilateral.
a.) Find the values of x and y. Show all work.
b.) Find mB and mD.
I'm posting it in here as well... i didn't know if i should only post it here or in the need help fast thread