<span><span> 5n2+10n+20</span> </span>Final result :<span> 5 • (n2 + 2n + 4)
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Reformatting the input :
Changes made to your input should not affect the solution:
(1): "n2" was replaced by "n^2".
Step by step solution :Skip Ad
<span>Step 1 :</span><span>Equation at the end of step 1 :</span><span> (5n2 + 10n) + 20
</span><span>Step 2 :</span><span>Step 3 :</span>Pulling out like terms :
<span> 3.1 </span> Pull out like factors :
<span> 5n2 + 10n + 20</span> = <span> 5 • (n2 + 2n + 4)</span>
Trying to factor by splitting the middle term
<span> 3.2 </span> Factoring <span> n2 + 2n + 4</span>
The first term is, <span> <span>n2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> +2n </span> its coefficient is <span> 2 </span>.
The last term, "the constant", is <span> +4 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • 4 = 4</span>
Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is <span> 2 </span>.
<span><span> -4 + -1 = -5</span><span> -2 + -2 = -4</span><span> -1 + -4 = -5</span><span> 1 + 4 = 5</span><span> 2 + 2 = 4</span><span> 4 + 1 = 5</span></span>
Answer:
"To the nearest year, it would be about 9 years"
Step-by-step explanation:
11c)
This is compound growth problem. It goes by the formula:
Where
F is the future amount
P is the present (initial) amount
r is the rate of growth, in decimal
t is the time in years
Given,
P = 20,000
r = 8% = 8/100 = 0.08
F = double of initial amount = 2 * 20,000 = 40,000
We need to find t:
To solve exponentials, we can take Natural Log (Ln) of both sides:
Using the rule shown below we can simplify and solve:
We can write:
To the nearest year, that would be about 9 years
Answer:
35°, how far above the ground is: the kite? 4 q. 0tt. "S. 'K,' ... 13. A ladder 14 feet long rests against the side ofa building. Thebase of the ladder rests on level ground ... A 24-foot ladder leaning against a building forms an 18° angle with the side of the building.
Answer:
85°
Step-by-step explanation:
The triangle pictured is an isosceles triangle because side KJ = LJ.
this means that ∠JKL = ∠JLK = x°
Also recall that all interior angles of a triangle add up to 180°
Hence,
180° = ∠JKL + ∠JLK + ∠KJL
180 = x + x + 10
180 = 2x + 10 (subtract 10 from both sides and rearrange)
2x = 180 - 10
2x = 170 (divide both sides by 2)
x = 170 / 2 = 85°
The given terms are two terms apart, so their difference is twice the difference of adjacent terms.
The value of d is 4.
