Question

I’m just not getting these right. Can someone help me?

Answer 1

p = 12+5n

Explanation:

For every added triangle, the perimeter only increases by 5.

For n=1, the perimeter is 6+6+5 = 17

For n=2, the perimeter is 6+6+5+5 = 22

So in general, the perimeter is 12 + 5n

Answer 2

Q12. p = 5n + 12

Q13. See below.

Q14. y-intercept = (0, -3); x-intercept = (-3/2, 0).

Step-by-step explanations:

Question 12. Perimeter

One triangle: p₁ = 2×6 + 1×5

Two triangles: p₂ = 2×6 + 2×5

Three triangles : p₃ = 2×6 + 3×5

n triangles: pₙ = 2×6 + n×5

General formula: p = 5n + 12

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Question 13. Modelling a function

Here's one possible table of values.

x y

-3 3

-2 1

-1 -1

0 -3

1 -5

You can see the graph of the function in Fig. 1 below.

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Question 14. x- and y-intercepts

y- intercept

y = -2x – 3 Set x = 0

y = -2×0 – 3

y = 0 – 3

y = -3

The y-intercept is at (0, -3).

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x-intercept

y = -2x – 3 Set y = 0

0 = -2x – 3 Add 3 to each side

3 = -2x Divide each side by -2

x = -3/2

The x-intercept is at (-3/2, 0).