A ball is thrown from a building and falls 3 t + 5 t 2 m e t r e s in t s e c . after how many seconds has the ball fallen 6 m e t r e

Given that, Distance of ball in t s e c . is 3 t + 5 t 2 m e t r e s When,distance is 6 m e t r e ,we get 3 t + 5 t 2 = 6 5 t 2 + 3 t - 6 = 0 We can find the root of the equation by using formula, - b ± b 2 - 4 a c 2 a In the equation, 5 t 2 + 3 t - 6 = 0 a = 5 , b = 3 , c = - 6 t = - 3 ± 3 2 - 4 × 5 × - 6 2 × 5 = - 3 ± 129 10 Thus, t = - 3 + 129 10 = 0 . 836 And t = - 3 - 129 10 = - 1 . 436 So,time can not be negative. Hence, t = 0 . 836 Therefore, After 0 . 836 s e c . ball fallen 6 m e t r e

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Earn 100

The diagram given below shows a rectangle that has been divided into a square and a smaller rectangle.The smaller rectangle is similar to larger one.Solve the equation, $x^{2} - x - 1 = 0$ ,giving the answer to $2$ decimal places.Explain why one of the solution does not work in this case.

Important Questions on More Equations, Formulae and Functions

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 22 - More Equations, Formulae and Functions>Exercise 22.3>Q 8

The diagram given below shows a rectangle that has been divided into a square and a smaller rectangle.The smaller rectangle is similar to larger one.Solve the equation, $x^{2} - x - 1 = 0$ ,giving the answer to $2$ decimal places.Find the perimeter of the rectangle.

Question Image

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 22 - More Equations, Formulae and Functions>Exercise 22.3

The product of three consecutive integers is

30

times smallest of the three integers.Find the two possible sets of integers that will satisfy this condition.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 22 - More Equations, Formulae and Functions>Exercise 22.3

The square of a number is

14

more than

5

times the number. Find the two possible numbers for which this is true.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 22 - More Equations, Formulae and Functions>Exercise 22.3

A rectangle has sides of length

x c m

and

y c m

. If the perimeter of the rectangle is

22 c m

and the area of the rectangle is

24 c m^{2}

,use algebra to find the dimensions of the rectangle.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 22 - More Equations, Formulae and Functions>Exercise 22.3>Q 15

A ball is thrown from a building and falls

3 t + 5 t^{2} m e t r e s

t s e c .

after how many seconds has the ball fallen

6 m e t r e

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 22 - More Equations, Formulae and Functions>Exercise 22.3>Q 16

A stone is thrown up into the air from ground level. If the height of the stone is

16 t - 5 t^{2}

, for how long will the stone be more than

8 m

above the ground.

EASY

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 22 - More Equations, Formulae and Functions>Exercise 22.4>Q 1

Make $x$ the subject of the given formula

$m = x + b p$

EASY

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 22 - More Equations, Formulae and Functions>Exercise 22.4>Q 1

Make $x$ the subject of the given formula

$n = p r - x$

The diagram given below shows a rectangle that has been divided into a square and a smaller rectangle.The smaller rectangle is similar to larger one.Solve the equation,x2-x-1=0,giving the answer to 2 decimal places.Explain why one of the solution does not work in this case.

Important Questions on More Equations, Formulae and Functions

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The diagram given below shows a rectangle that has been divided into a square and a smaller rectangle.The smaller rectangle is similar to larger one.Solve the equation, $x^{2} - x - 1 = 0$ ,giving the answer to $2$ decimal places.Explain why one of the solution does not work in this case.