Answer:
x = 100
Step-by-step explanation:
The larger area is ...
A = LW
A = (300+x)(200+x) = x^2 +500x +60,000
The smaller area is ...
A = (200)(300) = 60,000
We want the larger area to be double the smaller area, so ...
x^2 +500x +60,000 = 2(60,000)
x^2 +500x = 60,000 . . . . . . . . . . . . subtract 60,000
x^2 +500x + 62500 = 122500 . . . add 250^2 to complete the square
(x +250)^2 = 350^2
We're interested in the positive solution, so we can take the positive square root to find it:
x +250 = 350
x = 100 . . . . . . . . . subtract 250
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The graph shows the quadratic in the form x^2 +500x -60,000. That is, we're looking for zeros (x-intercepts) of the function.
Pemdas
so simplify inside parenthasees first
the innermost is 2/3-1/3 which is 1/3
we get
7/3+3(1/3)^2
next, exponent, comes before multiply
(1/3)^2=(1^2)/(3^2)=1/9
we get
7/3+3(1/9)
multiply
7/3+1/3
add
8/3
The dimensions of the box are 6 by 4 by 20.
To find the surface area of the box, multiply 6 by 4, 4 by 20, and 20 by 6.
The answers for those is 24, 80, and 120.
Add those all together to get 224.
Then, multiply that by 2 since 224 is only half of the surface area.
The answer is actually 448 square inches, not 512.
Hope this helps!
Answer:
<em><u>1=</u></em><em><u> </u></em> 237
<em><u>2=</u></em> 200
<em><u>3</u></em><em>= </em>49
<em><u>4=</u></em> 50
<em>I'm </em><em>99% </em><em>sure these are right.</em>
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<em> </em><u><em>please let me know if </em></u><u>any are wrong.</u>
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Have a good day<3</h2><h2>
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