Examine the figure below and answer the questions that follow. Be sure to write your answers in standard form and write the degree and classification for each answer. A contractor is putting in a wall in an office building to partition the room into two smaller rooms. The image above shows a 2-dimensional representation of a wall with a cut-out for a door.
2. The contractor is trying to design a scale model of the wall to show the buildings manager. To create this scale, he will have to divide the the area of the wall as calculated in Part A by 4xy4. With the polynomial in standard form, divide the first term only by 4xy4. Then divide the second term only by 4xy4. Show your work for the division of each term by 4xy4 separately. 3. If a window with the area of 12xy4 was placed on this wall, what would be the new area of the wall space left? You must show all work and calculations to receive credit.
Please share the figure with the rest of us. Then someone will be able to give you a more meaningful response. :)
@mathmale
Thanks for sharing this image. I wish I were in a position to be of further help, but need to hit the sack. I'd suggest you re-post your question and be certain to include the image right away. Bet you'd get responses from others faster that way. Good luck, BigBang! :)
What was part A?
1. Create the expression that represents the area of the wall space only using the dimensions shown above. Show your work.
And what did you get for that?
Need to make it snappy, I'm about to turn into a pumpkin as well.
First Simplify monomial term number 1: (5x2y3)3 We take each piece of our monomial term inside the parentheses of 5x2y3, and raise it to a power of 3 53 = 5 x 5 x 5 = 125 (x2)3 = x(2 x 3) = x6 (y3)3 = y(3 x 3) = y9 final answer: (5x2y3)3 = 125x6y9 then we Simplify monomial term number 2: (4y2)3 We take each piece of our monomial term inside the parentheses of 4y2, and raise it to a power of 3 43 = 4 x 4 x 4 = 64 (y2)3 = y(2 x 3) = y6 final answer: (4y2)3 = 64y6 Our new expression is: (125x6y9)(64y6) Group constants: 125 x 64 = 8000 Group variables: x6 = x6 y9 + 6 = y15 final answer: (5x2y3)3(4y2)3 = 8000x6y15
That's correct if you are ignoring the door...but part 2 implies that the first part will give you an answer with 2 terms, which means you aren't supposed to ignore the door.
so how do I further the math to include the door?
what is the area of the door? the area of the wall is the area you previously computed, with the area of the door subtracted
okay, can we pick this up tomorrow? I'm really tired and my brain cant process this anymore lol
Okay, good night
the area of the door is 768y^4x @whpalmer4
Uh, no. How did you get that?
width of the door is \(4y^4\) height of the door is \(3x\) Area of the door is width * height = \(4y^4*3x = \)
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