anonymous
  • anonymous
Part A:The area of a square is (4x2 − 12x + 9) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points) Part B: The area of a rectangle is (16x2 − 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@Haseeb96
Haseeb96
  • Haseeb96
4x^2 -12x +9 now 4 x 9 = 36 first take out the LCM of 36 it will be 2 x 2 x 3 x 3 4x^2 -6x -6x +9 2x(2x-3) -3(2x-3) (2x-3)(2x-3) it is showing that 2x-3 is the length for part A
Haseeb96
  • Haseeb96
for part B what you will do 16x^2 - 9y^2 you will use this formula here x^2 -y^2 = (x-y) (x+y) 16x^2 -9y^2 = (4x -3y) (4x +3y) this is the answer for part B

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Haseeb96
  • Haseeb96
I hope you get what i explain here
anonymous
  • anonymous
I do thank you so much can you help me with one more problem
Haseeb96
  • Haseeb96
okay
anonymous
  • anonymous
An expression is shown below: f(x) = –16x2 + 22x + 3 Part A: What are the x-intercepts of the graph of the f(x)? Show your work. (2 points) Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points) Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Haseeb96
  • Haseeb96
sorry idk about this one
anonymous
  • anonymous
x intercept is when you set y=0
anonymous
  • anonymous
okay but I am still confused on how you find part b and part c
anonymous
  • anonymous
|dw:1437075473052:dw|
anonymous
  • anonymous
well first find the x intercepts you will get something like this |dw:1437075627432:dw|
anonymous
  • anonymous
like say for example your x intercepts or "roots" or sometimes called zeros are -3 and 4 the distance of that is 4 - (-3)=7 and half of 7 is 3.5 to get to get to the point between -3 and 4 just add 3.5 to -3 which is 1.5
anonymous
  • anonymous
and for c. TO sketch it you'd plot the x intercepts, draw a vertical line between them and use symmetry. Oh in part b if you found the mid point or MP of the vertex then the y coordinant of the vertex is f(MP) |dw:1437076658109:dw|
anonymous
  • anonymous
Now connect the points with a smooth line |dw:1437076809616:dw|
anonymous
  • anonymous
thank you @timo86m

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