The next sequence is 5/162.
<em>Answer:</em>
<em>2 whole 1/4</em>
<em>Step-by-step explanation:</em>
<em>When forming a perfect square trinomial you need to "complete the square".
</em>
<em>All of the steps to completing the square when solving an equation:
</em>
<em>1. The leading coefficient must be 1. </em>
<em>2. Divide b by 2.
</em>
<em>3. Square (b/2)
</em>
<em>4. Add (b/2)^2 to both sides to keep the polynomial balanced.
</em>
<em>5. You can now write the perfect square trinomial and solve.
</em>
<em><u>
</u></em>
x^2 - 3x
-3/2
(-3/2)^2 = 9/4 = 2 1/4
The constant of proportionality is 4. Also, look at 36, and 9 because you could have just divided it it is not as complicated as you think.
Answer:
x = 12.
Step-by-step explanation:
If P(5,4),Q(8,10) and R(x,18) are collinear
then the slope of PQ equals the slope of QR
hence:
(10 - 4)/(8 - 5) = (18 - 10)/(x - 8)
6/3= 8/(x - 8)
2 = 8/(x - 8)
multiplying both sides by (x - 8) gives:
2(x - 8) = 8
2x - 16 = 8
2x = 8 + 16 = 24
hence x = 12
