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xz_007 [3.2K]
2 years ago
8

At what position on the number line is the red dot located?

Mathematics
1 answer:
Naddik [55]2 years ago
5 0

Answer:

D. \sqrt{46}

Step-by-step explanation:

Firstly, we know it's close to 6.75, so we can compute 6.75*6.75 and the product should be close to whatever's under the \sqrt. 6.75*6.75 = 45.5625, so we can already answer.

We could also figure out why other answers are bad.

\sqrt{92} > \sqrt{81} = 9\\\sqrt{56} > \sqrt{49} = 7\\\sqrt{36} = 6

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Question 2
prisoha [69]

Answer:

Please check the explanation.

Step-by-step explanation:

<u>Calculating the area of the outer rectangle:</u>

Given

  • The length outer rectangle = l = 3x - 1
  • The width of outer rectangle = w = 5x + 2

Thus,

The area of the outer rectangle:

A = wl

    = (5x + 2) (3x - 1)

    =5x\cdot \:3x+5x\left(-1\right)+2\cdot \:3x+2\left(-1\right)

     =5\cdot \:3xx-5\cdot \:1\cdot \:x+2\cdot \:3x-2\cdot \:1

      =15x^2+x-2

<u>Calculating the area of the inner rectangle:</u>

Given

  • The length inner rectangle = l = x + 7
  • The width of inner rectangle = w = x

Thus,

The area of the outer rectangle:

A = wl

   = x(x+7)

   = x² + 7

<u>Calculating the area of the shaded region:</u>

As

The area of the outer rectangle = 15x² + x - 2

The area of the inner rectangle = x² + 7

  • The area of the shaded region can be determined by subtracting the area of the inner rectangle from the area of the outer rectangle.

Thus,

shaded region Area = Outer Rectangle Area - Inner Rectangle Area

                                  = 15x² + x - 2 - (x² + 7)

                                   =  15x² + x - 2 - x² - 7

                                   = 14x² + x - 9

Therefore, the Area of the shaded region is: 14x² + x - 9

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Find the average rate of change in the price of gasoline from 2006 to 2008
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Answer:

A

Step-by-step explanation:

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A small theater had 9 rows of 25 chairs each. An extra 7 chairs have just been brought in. How many chairs are in the
Alchen [17]

Answer:

232

Step-by-step explanation:

9 x 25 = 225   225 + 7 = 232

another way to find it

9 x 20 = 180   9 x 5 = 45   180 + 45 = 225 + 7 = 232

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