Question

On which number line are –6 and its opposite shown?

a
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A solid, blue point is placed on the 6th tick mark to the left of 0. A solid, blue point is on 0.

b
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A solid, blue point is placed on the 6th tick mark to the left of 0. A solid, blue point is on the 6th tick mark to the right of 0.

c
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A solid, blue point is placed on 0. A solid, blue point is on the 6th tick mark to the right of 0.

d
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A solid, blue point placed on the 6th tick mark to the left of 0. A solid, blue point mark is on the 3rd tick mark to the left of 0.

Answer 1

• C) Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A solid, blue point is placed on 0. A solid, blue point is on the 6th tick mark to the right of 0.
• I Think its C It Would Be Nicer If You Had Attached The Question As Image
• Btw Thanks For That Much Points..

Answer 2

Answer:

p(x)=3

2n+2

−8x−9 is divisible by 64 …..(1)

When put n=1,

p(1)=3

4

−8−9=64 which is divisible by 64

Let n=k and we get

p(k)=3

2k+2

−8k−9 is divisible by 64

3

2k+2

−8k−9=64m where m∈N …..(2)

Now we shall prove that p(k+1) is also true

p(k+1)=3

2(k+1)+2

−8(k+1)−9 is divisible by 64.

Now,

p(k+1)=3

2(k+1)+2

−8(k+1)−9=3

2

.3

2k+2

−8k−17

=9.3

2k+2

−8k−17

=9(64m+8k+9)−8k−17

=9.64m+72k+81−8k−17

=9.64m+