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3 years ago

9

A circular labyrinth has a circumference of 75 ft. What is the distance from the outside edge of the labyrinth to its center? Us

e 3.14 for π. Round your answer to the nearest foot.

1 answer:

vazorg [7]3 years ago

8 0

C=2πr
75=2 (3.14) (r)
75 = (6.28) (r)
r= 11.942675
rounded to the nearest foot is 12.

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Answer:

2nd - (w - 5)(w + 5)

4th - (-4v - 9)(-4v + 9)

Step-by-step explanation:

1. The first option shows an expression multiplied by its opposite(x -1), so therefore, it does not show the difference of squares

2. The second option does show the difference of squares because it is in the form (a + b)(a - b)

3. The third option is just a square because the same expression is multiplied by itself.

4. The fourth option is the difference of squares because it is in the form (a + b)(a - b). a equals -4v and b equals 9 in this case.

5. The fifth option is not the difference of squares. No term in common in both expressions

6. The sixth option is just a square because the same expression is multiplied by itself.

In all, there are two options that are the difference of squares, the 2nd and 4th.

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3 years ago

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grin007 [14]

Step-by-step explanation:

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These are examples of exponential equations:

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Also, 2/3 is the inverse of 3/2, so:

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Answer:

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3 years ago

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zhannawk [14.2K]

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First step is to: Isolate the constant term by adding 7 to both sides

Step-by-step explanation:

We want to solve this equation: $2x^2 + 12x - 7 = 0$

On observation, the trinomial is not factorizable so we use the Completing the square method.

Step 1: Isolate the constant term by adding 7 to both sides

$2x^2 + 12x - 7+7 = 0+7\\2x^2 + 12x=7$

Step 2: Divide the equation all through by the coefficient of $x^2$ which is 2.

$x^2 + 6x=\frac{7}{2}$

Step 3: Divide the coefficient of x by 2, square it and add it to both sides.

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Square of 3= $3^2$

Therefore, we have:

$x^2 + 6x+3^2=\frac{7}{2}+3^2$

Step 4: Write the Left Hand side in the form $(x+k)^2$

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Step 5: Take the square root of both sides and solve for x

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