Answer:
see explanation
Step-by-step explanation:
To obtain a term in the sequence add the previous 2 terms, that is
= + ← in general terms
(a)
Given 1 4 5 9 14
Then the next 2 terms are 9 + 14 = 23 and 23 + 14 = 37
(b)
Given a₄ = 30 and a₅ = 49 , then
a₃ = 49 - 30 = 19
a₂ = 30 - 19 = 11
a₁ = 19 - 11 = 8
Sequence is 8 11 19 30 49 ....
(c)
Given a₂ = x and a₃ = y , then
a₁ = y - x
a₄ = a₃ + a₂ = y + x
a₅ = a₄ + a₃ = y + x + y = 2y + x
Answer:
<h2>48 600 yd²</h2>
Step-by-step explanation:
If a shape is scaled by a certain scale factor then :
<u><em>the area of the new shape</em></u> = (<em>the scale factor</em>) times (<em>the area of the original object</em>)
………………………
the new recreation complex was created by enlarging the old community soccer field by a scale factor of 9
Then
The area of the new recreation complex = 9² × 600 = 81×600 = 48 600 yd²
Answer:
xy^6z
Step-by-step explanation:
Answer:
Step-by-step explanation:
V=(hb^2)/3
V=(45(30^2))/3
V=(45(900))/3
V=13500cm^3
First denominator -- x
<span>first numerator ---- x-2 </span>
<span>new denominator -- x+3 </span>
<span>new numerator ---- x+1 </span>
<span>(x-2)/x + 3/20 = (x+1)/(x+3) </span>
<span>times 20x(x+3) , the LCD </span>
<span>20(x+3)(x+1) + 3x(x+3) = 20x(x+1) </span>
<span>expanding and simplifying gave me </span>
<span>x^2 + 3x - 40 = 0 </span>
<span>(x-5)(x+8) = 0 </span>
<span>x = 5 or x=-8 </span>
<span>if x=5, the original fraction was 3/5 </span>
<span>if x=-8 the original fraction was -10/-8 or 5/4 </span>
<span>check for 3/5 , new fraction would be 6/8 or 3/4 </span>
<span>3/5 + 3/20 = 12/20 + 3/20 = 15/20 = 3/4 </span>
<span>but for 5/4, new fraction would be 8/7 </span>
<span>5/4 + 3/20 = 28/20 = 7/5 ≠ 8/7 </span>
<span>BUT, if we take the unsimplified fraction -10/-8 , new fraction would be -7/-5 = 7/5 </span>
<span>So the original fraction would be 3/5 for sure, but </span>
<span>also the unsimplified fraction -10/-8</span>