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professor190 [17]
4 years ago
12

Cameron wants to measure a poster frame, but he only has a sheet of paper that is 8 1/2 by 11 inches. He lays the long edge of t

he paper along the long edge of the frame several times and finds the frame is 3 papers long. How long is this in inches?
I'm helping my sisters' who's in 6th grade and I don't get the question. Hope you answer this!!! I'll put you as brainliest!
Mathematics
2 answers:
Mashcka [7]4 years ago
8 0
This would be 33 inches. the frame is 3 papers long when using the long end of the paper, which is 11 inches. 3 times 11 is equal to 33, so 33 inches would be the answer.
Paraphin [41]4 years ago
7 0

Answer:

The length will be 44 inches long.

Step-by-step explanation:

Since we have given that

Length of sheet of paper = 11 inches

Width of sheet of paper is given by

8\frac{1}{2}\ inches=\frac{17}{2}\ inches

According to question, he lays the long edge of the paper along the long edge of the frame several times and finds the frame is 4 papers long.

Since the long edge = 11 inches

So, its length becomes

4\times 11\\\\=44\ inches

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Solve the following system of equations algebraically:<br> y = x2 - 6x + 9<br> y = -9x + 19
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{(-5,64), (2,1)}

linear equation: y = -9x + 19
quadratic equation: y = x² - 6x + 9

Substitute the y in the quadratic equation by the its value in the linear equation.

-9x + 19 = x² - 6x + 9
      -  19               - 19    *subtract 19 to both sides
-9x         = x² - 6x -10
+9x              + 9x            *add 9x to both sides
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Set each factor = 0 and solve
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Find the corresponding value of y using the linear equation.
y = -9x + 19

x = -5                              x = 2
y = -9(-5) + 19               y = -9(2) + 19
y = 45 + 19                    y = -18 + 19
y = 64                            y = 1

(-5,64)                              (2,1)

Check each value on each equation.
y = x² - 6x + 9
(-5,64)                                                  (2,1)
64 = (-5)² - 6(-5) + 9                          1 = 2² - 6(2) + 9
64 = 25 + 30 + 9                                1 = 4 - 12 + 9
64 = 64                                               1 = 1

y = -9x + 19
64 = -9(-5) + 19                                  1 = -9(2) + 19
64 = 45 + 19                                      1 = -18 + 19
64 = 64                                              1 = 1

{(-5,64), (2,1)}

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