Question

1. Find the quadratic product of each of the following a)     (x + 4)( x +...

1. Find the quadratic product of each of the following

a)     (x + 4)( x + 5)       =

b)    (x – 4)(x – 5 )       =

c)    (x – 4 )(x + 5)       =

d)   (x + 4)( x – 5)       =

e)   (x + 4)(x – 4)        =                                             

2. Factorize the following

a) x2 – 4x – 12      =

b) x2 + 4x – 12      =

c) x² − 25              =                                              (2, 2, 1 mark)

3. Find the equation of the line joining the points (1, 7) and (-3, 8)  

                                                                                       ( 5 marks)

4. Find the equation of the line passing through the point (2, 4) and

perpendicular to the line 8y = 7 – 2x                            

Homework Answers

Answer #1

1

(a)

So,

Answer is:

(b)

So,

Answer is:

(c)

So,

Answer is:

(d)

So,

Answer is:

(e)

So,

Answer is:

2.

(a)

So,

Answer is:

(b)

So,

Answer is:

(c)

So,

Answer is:

3.

Equation of line joining (1,7) and (-3,8) is given by:

i.e.

- 4 (y - 7) = x - 1

i.e.,

x + 4y = 1 + 28

So,

Answer is:

x + 4y = 29

4.

Equation of the given line is written as:

So,

Slope of the given line is:

So,

Slope of the required line is:

The required line passes through (2,4).

So,

Equation of the required line is:

y - 4 = 4 (x - 2)

i.e.,

y - 4 = 4x - 8

i.e.,

4x - y = 4

So,

Answer is:

4x - y = 4

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