Math help!

Test Preparation SAT Preparation
1

<p>I need help agagin with two problems.</p>

<p>pg 527 #7 BB 2nd Ed.</p>

<p>Point A is a vertex of an 8-sided polygon. The polygon has 8 sides of equal length and 8 angles of equal measure. When all possible diagonals are drawn from point A in the polygon, how many trianges are formed?</p>

<p>A. Four
B. Five
C. Six
D. Seven
E. Eight</p>

<p>pg 527 #8 BB </p>

<p>(x-8)(x-k) = x^2 - 5kx + m</p>

<p>In the equation above, k and m are constants. If the equation is true for all values of x, what is the value of m?</p>

<p>A. 8
B. 16
C. 24.
D. 32
E. 40</p>

2

<p>pg 527 #7 BB2</p>

<p>It is an 8 sided polygon with 8 equal sides and 8 equal angles. This means that it is a regular 8 sided polygon, or an octagon. Draw 1 out. Then it says how many triangles are formed from all diagonals from point A in the polygon. Connect point A with every other vertex, and it’s easy to see that it’s 6 triangles.</p>

<p>p. 527 #8 BB2</p>

<p>x^2 - kx - 8x + 8k = x^2 - 5kx + m
x^2 - x(k +8) + 8k = x^2 - 5kx + m</p>

<p>k + 8 = 5k
8k = m</p>

<p>k = 2; m = 16</p>

3

<p>Thanks! For #7, I mistaked vertex for center. Big mistake!</p>