The next three terms of sequence are 65, 129 and 257
<em><u>Solution:</u></em>
<em><u>Given sequence is:</u></em>
2, 3, 5, 9, 17, 33
We have to find the next three terms in sequence
<em><u>Let us find the logic used in this sequence</u></em>
Thus the sequence is increasing by 2 raised to power 0, 1, 2 and so on
<em><u>Thus the next three terms are found by:</u></em>
Thus the next three terms of sequence are 65, 129 and 257
Answer:
20 units²
Step-by-step explanation:
The x-intercepts are symmetrically located around the x-coordinate of the vertex, so are at
1.5 ± 5/2 = {-1, 4}
Using one of these we can find the unknown parameter "a" in the parabola's equation (in vertex form) ...
0 = a(4 -1.5)² +12.5
0 = 6.25a +12.5 . . . . . simplify
0 = a +2 . . . . . . . . . . . divide by 6.25
-2 = a
Then the standard-form equation of the parabola is ...
y = -2(x -1.5)² +12.5 = -2(x² -3x +2.25) +12.5
y = -2x² +6x +8
This tells us the y-intercept is 8. Then the relevant triangle has a base of 5 units and a height of 8. Its area is given by the formula ...
A = (1/2)bh = (1/2)(5)(8) = 20 . . . . units²
Answer:
see explanation
Step-by-step explanation:
Simplify the radical
=
=
Square both sides
T² = ( multiply both sides by (g + f) )
T²(g + f) = Ufg ( distribute left side )
T²g + T²f = Ufg ← subtract Ufg from both sides
T²g - Ufg + T²f = 0 ← subtract T²f from both sides
T²g - Ufg = - T²f ← factor out g from each term on the left side
g(T² - Uf) = - T²f ← divide both sides by (T² - Uf)
g = - =