Question

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Q7 Use suitable identities to find product of ( + 8)( − 10)

Q8 What is the name of horizontal and the vertical lines drawn to determine

the position of any point in the Cartesian plane?



Q9 Write four solution for 2 + = 7 2

Q10 Give the geometric representation of = 3 as an equation ​

Answer 1

Answer:

Q7 To find the product of (x + 8)(x – 10)

We know that

(x + a)(x + b) = x2 + (a + b)x + ab

In the expression (x + 8)(x – 10)

a = 8

b = -10

a + b = 8- 10 = -2

ab = 8 × (-10) = – 80

Substitute the values in the above equation

(x + 8)(x – 10) = x2 + (8 – 10)x + 8 × (-10)

(x + 8)(x – 10) = x2 – 2x – 80

Q8

The horizontal line that is drawn to determine the position of any point in the Cartesian plane is called the x-axis. The vertical line that is drawn to determine the position of any point in the Cartesian plane is called as y-axis.

Q10

In two variables, y = 3 represents a straight line passing through the point (0, 3) and parallel to the x-axis. It is a collection of all the points on the plane, having their y-coordinate as 3. ... When, x = 0, we get y = 3. When x = 2, we get y = 3.

Q9

Put x = 1

2×1+y =7

y = 7-2

y= 5

put x = 2

2×2+y = 7

y = 7-4

y= 3

put x = 3

2×3+y = 7

y = 7 - 6

y = 1

put x = 4

2×4+y = 7

y = 7 - 8

y = -1

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