Question

(ii) If A = 30 cm² and b = 10 cm,
the triangle.
5. Find a formula for each of the following.
(a) Product P of three numbers x, y and z
(b) Sum S of the square of p and the cube of a
(c) Average A of four numbers m, n, p and a
(d) Time T, in minutes, for a train journey of
a hours b minutes
INTERMEDIATE LEVEL
6. If k = P +29, find the value of p when k = 7
and q = 9​

Answer 1

Step-by-step explanation:

Given

b

2

=ac ___(1)

2(b+8)=a+c ____(2)

(b+8)

2

=a(c+64) ___(3)

⇒(b+8)

2

=ac+64a=b

2

+64a

⇒8(2b+8)=64a

⇒b+4=4a ____(4)

From (2) and (4)

2(4a+4)=a+c

⇒7a=c−8

From (1),

(4a−4)

2

=a(7a+8)

⇒9a

2

−40a+16=0

⇒a=

9

4

,4

Correspondingly, the triplets {a,b,c} are {

9

4

,

9

−20

,

9

100

} and {4,12,36}

But a,b,c are all positive

∴AM=

3

4+12+36

=

3

52