(a) NOT TO SCALE (x+ 1) em (*+ 6) cm D (x+ 2) em C la triangle ABC, the line BD is perpendicular to AC. AD-+ 6)cm, DC - ( + 2yem and the height BD = (x+ 1)em. The area of triangle ABC is 40cm. o Show that + Sr- 36 -0. Answer fali) [3] (H) Solve the equation ' + Sx - 36 -0. Answerfa(i) x = [2) ) Calculate the length of BC. Answerfa(ii) BC
(a) NOT TO SCALE (x+ 1) em (*+ 6) cm D (x+ 2) em C la triangle ABC, the line BD is perpendicular to AC. AD-+ 6)cm, DC - ( + 2yem and the height BD = (x+ 1)em. The area of triangle ABC is 40cm. o Show that + Sr- 36 -0. Answer fali) [3] (H) Solve the equation ' + Sx - 36 -0. Answerfa(i) x = [2) ) Calculate the length of BC. Answerfa(ii) BC
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![1. (a)
NOT TO
SCALE
(x+ 1) cm
(x+ 6) cm
D (x+ 2) cm C
In triangle ABC, the line BD is perpendicular to AC.
AD = (x + 6)cm, DC = (x+2)cm and the height BD = (x+ 1)cm.
The area of triangle ABC is 40cm.
(i) Show that + Sx - 36-0
Answer (ai)
[3]
(ii) Solve the equation + 5x - 36 - 0.
Answerla(i) x=
[2]
(iii) Calculate the length of BC.
Answerfai) BC -
cm [2]
(b) Amira takes 9 hours 25 minutes to complete a long walk.
(i) Show that the time of 9 hours 25 minutes can be written as
hours
Answer (b)
[1]
(i) She walks (3y + 2) kilometres at 3 km/h and then a further (y + 4) kilometres at 2 km/h.
9y +16
Show that the total time taken is
hours.
6
Answer(bii)
12]
9y +16 113
() Solve the equation
12
Answer(bi) y
[2]
(iv) Calculate Amira's average speed, in kilometres per hour, for the whole walk.
Answer(b)(iv)
km/h [3]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F891c7ba1-4a3e-4df0-b19f-a54270ee3391%2F217414d3-9158-46d3-8d77-d47f94981f33%2Fqvewva4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. (a)
NOT TO
SCALE
(x+ 1) cm
(x+ 6) cm
D (x+ 2) cm C
In triangle ABC, the line BD is perpendicular to AC.
AD = (x + 6)cm, DC = (x+2)cm and the height BD = (x+ 1)cm.
The area of triangle ABC is 40cm.
(i) Show that + Sx - 36-0
Answer (ai)
[3]
(ii) Solve the equation + 5x - 36 - 0.
Answerla(i) x=
[2]
(iii) Calculate the length of BC.
Answerfai) BC -
cm [2]
(b) Amira takes 9 hours 25 minutes to complete a long walk.
(i) Show that the time of 9 hours 25 minutes can be written as
hours
Answer (b)
[1]
(i) She walks (3y + 2) kilometres at 3 km/h and then a further (y + 4) kilometres at 2 km/h.
9y +16
Show that the total time taken is
hours.
6
Answer(bii)
12]
9y +16 113
() Solve the equation
12
Answer(bi) y
[2]
(iv) Calculate Amira's average speed, in kilometres per hour, for the whole walk.
Answer(b)(iv)
km/h [3]
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