Answer:
506
Step-by-step explanation:
:. t6 = 46 ... [ Given ]
tn = a+(n-1) d ... [ Formula ]
:. t6 = a+(6-1) d
:. 46 = a+5d ... [1]
Sn = n/2 [2a+(n-1)d] ... [ Formula ]
:. S11 = 11/2 [2a+(11-1) d]
:. S11 = 11/2 [2a+10d]
:. S11 = 11/2x2 [a+5d]
:. S11 = 11[46] ... [ From (1)]
:. S11 = 506
<span><span>2<span>x^2</span></span>+<span><span>4x</span>y</span></span>−<span>2<span>y^<span>2
hope this helps</span></span></span>
You can use factors to solve. Determine all the factor pairs of 24, find the two that are two numbers apart.
1, 24 X
2, 12 X
3, 8 X
4, 6 YES!
Algebraic way to solve using Quadratics:
l = 2 + w
A = lw
A = (2 + w)w Substitute (2 + w) for l
24 = (2 + w)w Substitute 24 in for the area
24 = 2w + w^2 Distribute
w^2 + 2w - 24 = 0 Set equal to 0 (put in standard form)
(w + 6) (w - 4) = 0 Factor
w + 6 = 0 and w - 4 = 0 Set each factor equal to 0.
So w= -6 or w = 4 ... -6 makes no sense for a length! So the width must be 4 and the length will be 4 + 2, which is 6.
