1. Find the equation of the circle that circumscribes the triangle whose sides are formed by the lines 4x-3y = 21, x+ 3y = 9, and 2x +y = 3 %3D %3D %3D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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Need help with number 1
writing down only an answer. Please give exact answers(no rounded decimals).
1. Find the equation of the circle that circumscribes the triangle whose sides are
formed by the lines 4x
3y
21, x+3y = 9, and 2x +y = 3
2. Find the equation of the line that passes through the points of intersection of
the curves y? = x and x2 + 3xy- 2y2
32
3. A ball is dropped from a height of 50 feet, and each time it bounces it rises to
a height four-fifths as high as high as previously.
(a) Set up a series that calculates the total distance the ball has covered when
it hits the ground for the fifth time.
(b) Evaluate your series from part (a). Make sure to give an exact answer (No
rounded decimals).
4. Prove the formula below using mathematical induction
E log 2* = ("
n² +n'
log 2
k=1
5. (a) A rectangle has area of 96 ft2 and perimeter of 40 ft. Find its dimensions.
(b) Prove the following identity
n -
n -
k
k -
Transcribed Image Text:writing down only an answer. Please give exact answers(no rounded decimals). 1. Find the equation of the circle that circumscribes the triangle whose sides are formed by the lines 4x 3y 21, x+3y = 9, and 2x +y = 3 2. Find the equation of the line that passes through the points of intersection of the curves y? = x and x2 + 3xy- 2y2 32 3. A ball is dropped from a height of 50 feet, and each time it bounces it rises to a height four-fifths as high as high as previously. (a) Set up a series that calculates the total distance the ball has covered when it hits the ground for the fifth time. (b) Evaluate your series from part (a). Make sure to give an exact answer (No rounded decimals). 4. Prove the formula below using mathematical induction E log 2* = (" n² +n' log 2 k=1 5. (a) A rectangle has area of 96 ft2 and perimeter of 40 ft. Find its dimensions. (b) Prove the following identity n - n - k k -
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