Answer:
24, -38, 62, -100
Step-by-step explanation:
The recursive formula is a_n = a_(n-2) - a_(n-1)
so. we try this 4 times after the -14 term
a_3 = -4 = 2 - 6 = a_1 - a_2
...
a_6 = a_4 - a_5 = 10 - (-14) = 24
a_7 = a_5 - a_6 = -14 - (24) = -38
a_8 = a_6 - a_7 = 24 - (-38) = 62
a_9 = a_7 - a_8 = -38 - 62 = -100
a_10 = a_8 - a_9 = 62 - (-100) = 162
Answer:
p =
and q = 
Step-by-step explanation:
Given equations:
2p - 3q = 4 -----------(i)
3p + 2q = 9 ------------(ii)
Let's solve this equation simultaneously using the <em>elimination method</em>
(a) Multiply equation (i) by 3 and equation (ii) by 2 as follows;
[2p - 3q = 4] x 3
[3p + 2q = 9] x 2
6p - 9q = 12 -------------(iii)
6p + 4q = 18 -------------(iv)
(b) Next, subtract equation (iv) from equation (iii) as follows;
[6p - 9q = 12]
<u> - [6p + 4q = 18] </u>
<u> -13q = -6 </u> -----------------(v)
<u />
<u>(c)</u> Next, make q subject of the formula in equation (v)
q = 
(d) Now substitute the value of q =
into equation (i) as follows;
2p - 3(
) = 4
(e) Now, solve for p in d above
<em>Multiply through by 13;</em>
26p - 18 = 52
<em>Collect like terms</em>
26p = 52 + 18
26p = 70
<em>Divide both sides by 2</em>
13p = 35
p = 
Therefore, p =
and q = 
Answer:
2m+8
Step-by-step explanation:
12 A . my guess would be to divide 2175 by 18 which would give you 120.83
Answer:
The maximum safe rescue height is 104.6 feet above the height of the ground.
Step-by-step explanation:
Consider a triangle ABC where C is the point where the rescue ladder is standing and AB be the building and Ladder making an angle of 72° as shown.
We have to find the height of the building.
Let x be the height of building
Using Trigonometric ratio,





So, the maximum safe rescue height is 104.6 feet above the height of
the ground.