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dlinn [17]
3 years ago
11

The graphs below have the same shape. What is the equation of the blue

Mathematics
1 answer:
klemol [59]3 years ago
5 0

Answer:

A

Step-by-step explanation:

it is A

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Use the method of completing the square to solve x2 - 6x + 1 = 0. Simplify your solutions.
exis [7]

Answer:

x = 3 ± 2\sqrt{2}

Step-by-step explanation:

given

x² - 6x + 1 = 0 ( subtract 1 from both sides )

x² - 6x = - 1

To complete the square

add (half the coefficient of the x- term)² to both sides

x² - 6x + (- 3)² = - 1 + (- 3)²

x² - 6x + 9 = - 1 + 9

(x - 3)² = 8 ( take the square root of both sides )

x - 3 = ± \sqrt{8} = ± 2\sqrt{2} ( add 3 to both sides )

x = 3 ± 2\sqrt{2}

8 0
3 years ago
Gabrielle's age is two times Mikhail's age. The sum of their ages is 81. What is Mikhail's age?
Darya [45]

Answer:

27

Step-by-step explanation:

       Let <em>g </em>be Gabrielle's age and <em>m </em>be Mikhail's age.

       We can turn the statements the problem gives us into mathematical expressions to help us solve.

       Gabrielle's age is two times Mikhail's age:

                      <em>g </em>= 2<em>m</em>

       The sum of their ages is 81:

                      <em>g </em>+ <em>m </em>= 81

       This gives us a system of equations that will allow us to solve for Gabrielle's age.

<em>g </em>+ <em>m </em>= 81

(2<em>m</em>)<em> </em>+ <em>m </em>= 81

3<em>m </em>= 81

<em>m</em> = \frac{81}{3}

<em>m </em>= 27

       If we need to solve for Gabrielle's age, we can do the following.

<em>g </em>= 2<em>m</em>

2(27)<em> </em>= <em>g</em>

54 = <em>g</em>

g = 54

Mikhail's age is 27.

Gabrielle's age is 54.

8 0
2 years ago
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What is the volume in cubic feet of a greenhouse that is 50 feet long, 25 feet wide, and 12 feet high?
Alexandra [31]
To find volume you just multiply the length, width, and height, so 15,000 cubic feet.
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3 years ago
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The ordered pair (4, -8) is in the 4th quadrant if we took the opposite of the x- value and the opposite of the y-value, which q
harina [27]

9514 1404 393

Answer:

  2nd quadrant

Step-by-step explanation:

Reversing the signs of both coordinates reflects the point across the origin. The quadrant diagonally opposite quadrant 4 is quadrant 2.

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You recall that quadrants are numbered 1 to 4 counterclockwise, starting from upper right.

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