Glencoe Algebra 2 Student Edition C2014
1st Edition
ISBN: 9780076639908
Author: McGraw-Hill Glencoe
Publisher: MCG
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Question
Chapter 9, Problem 68SGR
To determine
To find: The where did the support beams meet to parabola.
Expert Solution & Answer
Answer to Problem 68SGR
The beam given by equation y=−x+10 meets the entrance at points (0,10) and (30,−10) .
The beam given by equation y=x−10 meets the entrance at points (20,10) and (−10,−20) .
Explanation of Solution
Given information:
Equation of the parabola y=−110(x−10)2+20
The construction team put in two support beams with the equations y=−x+10 and y=x−10 .
Calculation:
The front entrance of a building is parabola in shape with the equation,
y=−110(x−10)2+20 ........(1)
The parabolic entrance is supported by two beams The support beams have the following equations,
y=−x+10 .......(2)
And
y=x−10 ........(3)
The beam given by equation (2) y=−x+10 meets the parabola (1) y=−110(x−10)2+20 at the intersection point of two equations.
Substitute y=−x+10 from equation (2) in equation (1) y=−110(x−10)2+20 and solve for x
−x+10=−110(x−10)2+20−10x+100=−x2+20x−100+200x2−30x=0
x(x−30)=0x=0,30
Substitute x=0 in equation (2) y=−x+10 and solve for y
y=−0+10y=10
Hence, (0,10) is a solution of parabola and line (2) y=−x+10 .
Substitute x = 30 in equation (2) y=−x+10 and solve for y,
y=−30+10y=−20
Hence, (30,−10) is a solution of parabola and line (2) y=−x+10 .
Therefore, beam given by equation (2) y=−x+10 meets the entrance at points (0,10) and (30,−10) .
The beam given by equation (3) y=x−10 meets the parabola (1) y=−110(x−10)2+20 at the intersection point of two equations.
Substitute y=x−10 from equation (3) in equation (1) y=−110(x−10)2+20 and solve for x,
x−10=−110(x−10)2+2010x−100=−x2+20x−100+200x2−10x−200=0
Simplify further
x=20,−10
Substitute x=20 in equation (3) y=x−10 and solve for y
y=20−10y=10
Hence (20,10) is a solution of parabola and line (3) y=x−10 .
Therefore, beam given by equation (3) y=x−10 meets the entrance at points (20,10) and (−10,−20) .
Chapter 9 Solutions
Glencoe Algebra 2 Student Edition C2014
Ch. 9.1 - Prob. 1AGPCh. 9.1 - Prob. 1BGPCh. 9.1 - Prob. 2GPCh. 9.1 - Prob. 3GPCh. 9.1 - Prob. 1CYUCh. 9.1 - Prob. 2CYUCh. 9.1 - Prob. 3CYUCh. 9.1 - Prob. 4CYUCh. 9.1 - Prob. 5CYUCh. 9.1 - Prob. 6CYU
Ch. 9.1 - Prob. 7CYUCh. 9.1 - Prob. 8CYUCh. 9.1 - Prob. 9CYUCh. 9.1 - Prob. 10PPSCh. 9.1 - Prob. 11PPSCh. 9.1 - Prob. 12PPSCh. 9.1 - Prob. 13PPSCh. 9.1 - Prob. 14PPSCh. 9.1 - Prob. 15PPSCh. 9.1 - Prob. 16PPSCh. 9.1 - Prob. 17PPSCh. 9.1 - Prob. 18PPSCh. 9.1 - Prob. 19PPSCh. 9.1 - Prob. 20PPSCh. 9.1 - Prob. 21PPSCh. 9.1 - Prob. 22PPSCh. 9.1 - Prob. 23PPSCh. 9.1 - Prob. 24PPSCh. 9.1 - Prob. 25PPSCh. 9.1 - Prob. 26PPSCh. 9.1 - Prob. 27PPSCh. 9.1 - Prob. 28PPSCh. 9.1 - Prob. 29PPSCh. 9.1 - Prob. 30PPSCh. 9.1 - Prob. 31PPSCh. 9.1 - Prob. 32PPSCh. 9.1 - Prob. 33PPSCh. 9.1 - Prob. 34PPSCh. 9.1 - Prob. 35PPSCh. 9.1 - Prob. 36PPSCh. 9.1 - Prob. 37PPSCh. 9.1 - Prob. 38PPSCh. 9.1 - Prob. 39PPSCh. 9.1 - Prob. 40PPSCh. 9.1 - Prob. 41PPSCh. 9.1 - Prob. 42HPCh. 9.1 - Prob. 43HPCh. 9.1 - Prob. 44HPCh. 9.1 - Prob. 45HPCh. 9.1 - Prob. 46HPCh. 9.1 - Prob. 47STPCh. 9.1 - Prob. 48STPCh. 9.1 - Prob. 49STPCh. 9.1 - Prob. 50STPCh. 9.1 - Prob. 51SRCh. 9.1 - Prob. 52SRCh. 9.1 - Prob. 53SRCh. 9.1 - Prob. 54SRCh. 9.1 - Prob. 55SRCh. 9.1 - Prob. 56SRCh. 9.1 - Prob. 57SRCh. 9.1 - Prob. 58SRCh. 9.1 - Prob. 59SRCh. 9.1 - Prob. 60SRCh. 9.1 - Prob. 61SRCh. 9.1 - Prob. 62SRCh. 9.1 - Prob. 63SRCh. 9.1 - Prob. 64SCh. 9.1 - Prob. 65SCh. 9.1 - Prob. 66SCh. 9.2 - Prob. 1GPCh. 9.2 - Prob. 2AGPCh. 9.2 - Prob. 2BGPCh. 9.2 - Prob. 3AGPCh. 9.2 - Prob. 3BGPCh. 9.2 - Prob. 4AGPCh. 9.2 - Prob. 4BGPCh. 9.2 - Prob. 5GPCh. 9.2 - Prob. 1CYUCh. 9.2 - Prob. 2CYUCh. 9.2 - Prob. 3CYUCh. 9.2 - Prob. 4CYUCh. 9.2 - Prob. 5CYUCh. 9.2 - Prob. 6CYUCh. 9.2 - Prob. 7CYUCh. 9.2 - Prob. 8CYUCh. 9.2 - Prob. 9CYUCh. 9.2 - Prob. 10CYUCh. 9.2 - Prob. 11CYUCh. 9.2 - Prob. 12CYUCh. 9.2 - Prob. 13CYUCh. 9.2 - Prob. 14PPSCh. 9.2 - Prob. 15PPSCh. 9.2 - Prob. 16PPSCh. 9.2 - Prob. 17PPSCh. 9.2 - Prob. 18PPSCh. 9.2 - Prob. 19PPSCh. 9.2 - Prob. 20PPSCh. 9.2 - Prob. 21PPSCh. 9.2 - Prob. 22PPSCh. 9.2 - Prob. 23PPSCh. 9.2 - Prob. 24PPSCh. 9.2 - Prob. 25PPSCh. 9.2 - Prob. 26PPSCh. 9.2 - Prob. 27PPSCh. 9.2 - Prob. 28PPSCh. 9.2 - Prob. 29PPSCh. 9.2 - Prob. 30PPSCh. 9.2 - 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Prob. 14PPSCh. 9.3 - Prob. 15PPSCh. 9.3 - Prob. 16PPSCh. 9.3 - Prob. 17PPSCh. 9.3 - Prob. 18PPSCh. 9.3 - Prob. 19PPSCh. 9.3 - Prob. 20PPSCh. 9.3 - Prob. 21PPSCh. 9.3 - Prob. 22PPSCh. 9.3 - Prob. 23PPSCh. 9.3 - Prob. 24PPSCh. 9.3 - Prob. 25PPSCh. 9.3 - Prob. 26PPSCh. 9.3 - Prob. 27PPSCh. 9.3 - Prob. 28PPSCh. 9.3 - Prob. 29PPSCh. 9.3 - Prob. 30PPSCh. 9.3 - Prob. 31PPSCh. 9.3 - Prob. 32PPSCh. 9.3 - Prob. 33PPSCh. 9.3 - Prob. 34PPSCh. 9.3 - Prob. 35PPSCh. 9.3 - Prob. 36PPSCh. 9.3 - Prob. 37PPSCh. 9.3 - Prob. 38PPSCh. 9.3 - Prob. 39PPSCh. 9.3 - Prob. 40PPSCh. 9.3 - Prob. 41PPSCh. 9.3 - Prob. 42PPSCh. 9.3 - Prob. 43PPSCh. 9.3 - Prob. 44PPSCh. 9.3 - Prob. 45PPSCh. 9.3 - Prob. 46PPSCh. 9.3 - Prob. 47PPSCh. 9.3 - Prob. 48PPSCh. 9.3 - Prob. 49PPSCh. 9.3 - Prob. 50PPSCh. 9.3 - Prob. 51PPSCh. 9.3 - Prob. 52PPSCh. 9.3 - Prob. 53PPSCh. 9.3 - Prob. 54PPSCh. 9.3 - Prob. 55PPSCh. 9.3 - Prob. 56PPSCh. 9.3 - Prob. 57PPSCh. 9.3 - Prob. 58PPSCh. 9.3 - Prob. 59PPSCh. 9.3 - Prob. 60PPSCh. 9.3 - Prob. 61PPSCh. 9.3 - Prob. 62HPCh. 9.3 - Prob. 63HPCh. 9.3 - Prob. 64HPCh. 9.3 - Prob. 65HPCh. 9.3 - Prob. 66HPCh. 9.3 - Prob. 67HPCh. 9.3 - Prob. 68STPCh. 9.3 - Prob. 69STPCh. 9.3 - Prob. 70STPCh. 9.3 - Prob. 71STPCh. 9.3 - Prob. 72SRCh. 9.3 - Prob. 73SRCh. 9.3 - Prob. 74SRCh. 9.3 - Prob. 75SRCh. 9.3 - Prob. 76SRCh. 9.3 - Prob. 77SRCh. 9.3 - Prob. 78SRCh. 9.3 - Prob. 79SRCh. 9.3 - Prob. 80SRCh. 9.3 - Prob. 81SRCh. 9.3 - Prob. 82SRCh. 9.3 - Prob. 83SRCh. 9.3 - Prob. 84SRCh. 9.3 - Prob. 85SRCh. 9.3 - Prob. 86SCh. 9.3 - Prob. 87SCh. 9.3 - Prob. 88SCh. 9.4 - Prob. 1GPCh. 9.4 - Prob. 2GPCh. 9.4 - Prob. 3GPCh. 9.4 - Prob. 4GPCh. 9.4 - Prob. 1CYUCh. 9.4 - Prob. 2CYUCh. 9.4 - Prob. 3CYUCh. 9.4 - Prob. 4CYUCh. 9.4 - Prob. 5CYUCh. 9.4 - Prob. 6CYUCh. 9.4 - Prob. 7CYUCh. 9.4 - Prob. 8CYUCh. 9.4 - Prob. 9CYUCh. 9.4 - Prob. 10CYUCh. 9.4 - Prob. 11PPSCh. 9.4 - Prob. 12PPSCh. 9.4 - Prob. 13PPSCh. 9.4 - Prob. 14PPSCh. 9.4 - Prob. 15PPSCh. 9.4 - Prob. 16PPSCh. 9.4 - Prob. 17PPSCh. 9.4 - Prob. 18PPSCh. 9.4 - Prob. 19PPSCh. 9.4 - Prob. 20PPSCh. 9.4 - Prob. 21PPSCh. 9.4 - Prob. 22PPSCh. 9.4 - Prob. 23PPSCh. 9.4 - Prob. 24PPSCh. 9.4 - Prob. 25PPSCh. 9.4 - Prob. 26PPSCh. 9.4 - Prob. 27PPSCh. 9.4 - Prob. 28PPSCh. 9.4 - Prob. 29PPSCh. 9.4 - Prob. 30PPSCh. 9.4 - Prob. 31PPSCh. 9.4 - Prob. 32PPSCh. 9.4 - Prob. 33PPSCh. 9.4 - Prob. 34PPSCh. 9.4 - Prob. 35PPSCh. 9.4 - Prob. 36PPSCh. 9.4 - Prob. 37PPSCh. 9.4 - Prob. 38PPSCh. 9.4 - Prob. 39PPSCh. 9.4 - Prob. 40HPCh. 9.4 - Prob. 41HPCh. 9.4 - Prob. 42HPCh. 9.4 - Prob. 43HPCh. 9.4 - Prob. 44HPCh. 9.4 - Prob. 45HPCh. 9.4 - Prob. 46HPCh. 9.4 - Prob. 47STPCh. 9.4 - Prob. 48STPCh. 9.4 - Prob. 49STPCh. 9.4 - Prob. 50STPCh. 9.4 - Prob. 51SRCh. 9.4 - Prob. 52SRCh. 9.4 - Prob. 53SRCh. 9.4 - Prob. 54SRCh. 9.4 - Prob. 55SRCh. 9.4 - Prob. 56SRCh. 9.4 - Prob. 57SRCh. 9.4 - Prob. 58SRCh. 9.4 - Prob. 59SRCh. 9.4 - Prob. 60SRCh. 9.4 - Prob. 61SRCh. 9.4 - Prob. 62SRCh. 9.4 - Prob. 63SRCh. 9.4 - Prob. 64SRCh. 9.4 - Prob. 65SCh. 9.4 - Prob. 66SCh. 9.4 - Prob. 67SCh. 9.4 - Prob. 1MCQCh. 9.4 - Prob. 2MCQCh. 9.4 - Prob. 3MCQCh. 9.4 - Prob. 4MCQCh. 9.4 - Prob. 5MCQCh. 9.4 - Prob. 6MCQCh. 9.4 - Prob. 7MCQCh. 9.4 - Prob. 8MCQCh. 9.4 - Prob. 9MCQCh. 9.4 - Prob. 10MCQCh. 9.4 - Prob. 11MCQCh. 9.4 - Prob. 12MCQCh. 9.4 - Prob. 13MCQCh. 9.4 - Prob. 14MCQCh. 9.4 - Prob. 15MCQCh. 9.4 - Prob. 16MCQCh. 9.4 - Prob. 17MCQCh. 9.4 - Prob. 18MCQCh. 9.4 - Prob. 19MCQCh. 9.4 - Prob. 20MCQCh. 9.5 - Prob. 1GPCh. 9.5 - Prob. 2GPCh. 9.5 - Prob. 3GPCh. 9.5 - Prob. 4GPCh. 9.5 - Prob. 1CYUCh. 9.5 - Prob. 2CYUCh. 9.5 - Prob. 3CYUCh. 9.5 - Prob. 4CYUCh. 9.5 - Prob. 5CYUCh. 9.5 - Prob. 6CYUCh. 9.5 - Prob. 7CYUCh. 9.5 - Prob. 8CYUCh. 9.5 - Prob. 9CYUCh. 9.5 - Prob. 10PPSCh. 9.5 - Prob. 11PPSCh. 9.5 - Prob. 12PPSCh. 9.5 - Prob. 13PPSCh. 9.5 - Prob. 14PPSCh. 9.5 - Prob. 15PPSCh. 9.5 - Prob. 16PPSCh. 9.5 - Prob. 17PPSCh. 9.5 - Prob. 18PPSCh. 9.5 - Prob. 19PPSCh. 9.5 - Prob. 20PPSCh. 9.5 - Prob. 21PPSCh. 9.5 - Prob. 22PPSCh. 9.5 - Prob. 23PPSCh. 9.5 - Prob. 24PPSCh. 9.5 - Prob. 25PPSCh. 9.5 - Prob. 26PPSCh. 9.5 - 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Prob. 6CYUCh. 9.6 - Prob. 7CYUCh. 9.6 - Prob. 8CYUCh. 9.6 - Prob. 9CYUCh. 9.6 - Prob. 10CYUCh. 9.6 - Prob. 11CYUCh. 9.6 - Prob. 12CYUCh. 9.6 - Prob. 13CYUCh. 9.6 - Prob. 14PPSCh. 9.6 - Prob. 15PPSCh. 9.6 - Prob. 16PPSCh. 9.6 - Prob. 17PPSCh. 9.6 - Prob. 18PPSCh. 9.6 - Prob. 19PPSCh. 9.6 - Prob. 20PPSCh. 9.6 - Prob. 21PPSCh. 9.6 - Prob. 22PPSCh. 9.6 - Prob. 23PPSCh. 9.6 - Prob. 24PPSCh. 9.6 - Prob. 25PPSCh. 9.6 - Prob. 26PPSCh. 9.6 - Prob. 27PPSCh. 9.6 - Prob. 28PPSCh. 9.6 - Prob. 29PPSCh. 9.6 - Prob. 30PPSCh. 9.6 - Prob. 31PPSCh. 9.6 - Prob. 32PPSCh. 9.6 - Prob. 33PPSCh. 9.6 - Prob. 34PPSCh. 9.6 - Prob. 35PPSCh. 9.6 - Prob. 36PPSCh. 9.6 - Prob. 37PPSCh. 9.6 - Prob. 38PPSCh. 9.6 - Prob. 39PPSCh. 9.6 - Prob. 40PPSCh. 9.6 - Prob. 41PPSCh. 9.6 - Prob. 42PPSCh. 9.6 - Prob. 43PPSCh. 9.6 - Prob. 44HPCh. 9.6 - Prob. 45HPCh. 9.6 - Prob. 46HPCh. 9.6 - Prob. 47HPCh. 9.6 - Prob. 48STPCh. 9.6 - Prob. 49STPCh. 9.6 - Prob. 50STPCh. 9.6 - Prob. 51STPCh. 9.6 - Prob. 52SRCh. 9.6 - Prob. 53SRCh. 9.6 - Prob. 54SRCh. 9.6 - 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- 1. For the following subsets of R3, explain whether or not they are a subspace of R³. (a) (b) 1.1 0.65 U = span -3.4 0.23 0.4 -0.44 0 (})} a V {(2) | ER (c) Z= the points in the z-axisarrow_forwardSolve the following equation forx. leave answer in Simplified radical form. 5x²-4x-3=6arrow_forwardMATCHING LIST Question 6 Listen Use the given equations and their discriminants to match them to the type and number of solutions. 00 ed two irrational solutions a. x²+10x-2=-24 two rational solutions b. 8x²+11x-3=7 one rational solution c. 3x²+2x+7=2 two non-real solutions d. x²+12x+45 = 9 DELL FLOWER CHILD 10/20 All Changes S $681 22991arrow_forward
- 88 MULTIPLE CHOICE Question 7 Listen The following irrational expression is given in unsimplified form with four op- tions in simplified form. Select the correct simplified form. Select only one option. A 2±3√√2 B 4±√3 2±√ √3 D 1±√√3 DELL FLOWER CHILD 11/200 4 ± √48 4 ✓ All Changes Saved 165arrow_forwardUse the graph of y = f(x) to answer the following. 3- 2 -4 -2 -1 1 2 3 4 -1 2 m -3- + (d) Find all x for which f(x) = -2. If there is more than one value, separate them with commas or write your answer in interval notation, if necessary. Select "None", if applicable. Value(s) of x for which f(x)=-2: | (0,0) (0,0) (0,0) (0,0) 0,0... -00 None (h) Determine the range of f. The range is (0,0) Garrow_forwardWhat is g(f(4))arrow_forward
- 10) Multiply (8m + 3)² A) 8m²+11m+6 B) m² + 48m+9 C) 64m²+48m+9 D) 16m²+11m+6arrow_forwardLet R be field and X= R³/s Vector space over R M=(a,b,c)labic, e Rra+b= 3- <3 Show that Ms and why with proof. 1) is convexset and affine set of botost ii) is blanced set and symmetirs set of x iii) is hy per space and hyper plane ofx or hot iii) find f:MR st kerf = M 18/103 and finnd fiM→R/{0} st M= {xEX, f(t) = x, texiαER? jiii) show that Mis Maxsubspace or not and Mis a max. affine set or not.arrow_forwardFind The partial fraction decomposition for each The following 2× B) (x+3) a 3 6 X-3x+2x-6arrow_forward
- 1) Find the partial feraction decomposition for each of 5- X 2 2x+x-1 The following: 3 B) 3 X + 3xarrow_forwardT={(−7,1),(1,−1),(6,−8),(2,8)} Find the domain and range of the inverse. Express your answer as a set of numbers.arrow_forwardT={(−7,1),(1,−1),(6,−8),(2,8)}. Find the inverse. Express your answer as a set of ordered pairs.arrow_forward
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