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aksik [14]
3 years ago
14

Type the correct answer in each box. Use numerals instead of words.

Mathematics
1 answer:
malfutka [58]3 years ago
4 0

Answer:

y - 8 = -2(x + 1)^2

Step-by-step explanation:

The vertex of this parabola is (-1, 8).  It opens downward, so the x^2 term has a negative coefficient.  The zeros are (-3, 0) and (1, 0), and the y-intercept is (0, 7).

Through the vertex form of the equation of a parabola we get:

y - (8) = a(x - (-1)) + 7, or

y - 8 = a(x + 1)^2.  Find coefficient a by substituting the coordinates (-3, 0) in this equation:

0 - 8 = a(-3 + 1)^2, or

-8 = a(-2)^2, or a = -2

The desired equation is

y - 8 = -2(x + 1)^2

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Yes.

When you use distributive property in first expression you’ll get 4x +8y. The second expression just rearranged those two terms.
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How do you know if a square root of something is rational or irrational? like i know it can be represented by a fraction or a ra
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Rational number is a number that can be described as m/n 

so a fraction can be a rational number, 0.8=4/5 
Irrational numbers can't be written as a fraction 

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3 0
3 years ago
Read 2 more answers
A farmer has 1800 m of fencing. He needs to create
NeTakaya

Answer:

67,500 m²

Step-by-step explanation:

ASSUMING the fields look like this __________________

                                                            |                    |                   |

                                                            |                    |                   | W

                                                            |_________|_________|

                                                                                L                                                            

Let L be the length of the combined field and W be the width

2L + 3W = 1800

2L = 1800 - 3W

L = 900 - 1.5W

A = LW

A = (900 - 1.5W)W

A = 900W - 1.5W²

Area will be maximized when the derivative equals zero.

dA/dW = 900 - 3W

        0 = 900 - 3W

     3W = 900

       W = 300 m

L = 900 - 1.5(300)

L = 450 m

A = LW = 450(300) = 135,000 m²

so each sub field is 135000/2 = 67,500 m²

7 0
3 years ago
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Answer:

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Step-by-step explanation:

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