1) The following is data from a survey of bouncing a ball from the height of 1
meter.
85, 83, 57, 89, 62, 68, 91, 22, 28, 58, 37, 41, 36, 59, 88, 54, 76, 90
Use the following table to create a frequency table. Select the interval you
are using, count the tally marks and add up the frequency. Put them in order
before you create the intervals. (if you need more rows, go ahead and type below)
Interval
Tally
Frequency

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

answer: the resulting cross section is a rectangle. solution: a plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. so the cross section is a triangle.

step-by-step explanation: