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Korolek [52]
3 years ago
14

HELP ASAP Find the zeros of y = x^2 - 4x - 9 by completing the square.

Mathematics
2 answers:
Juli2301 [7.4K]3 years ago
5 0

The given equation is :

y=x^{2} -4x-9

Replacing y as zero, we get,

x^{2} -4x-9=0

Now solving this quadratic equation using formula:

x1,2=\frac{-b+\sqrt{b^{2}-4ac}}{2a} and

x1,2=\frac{-b-\sqrt{b^{2}-4ac}}{2a}

Putting a=1, b=-4, c=-9 we get

x=2+\sqrt{13} and x=2-\sqrt{13}

So, option B is the correct answer.

Alla [95]3 years ago
4 0

Answer: x= 2 + √ 13 ,2- √ 13

Step-by-step explanation:

Replace y with 0 and solve for x

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The total operating cost to run the organic strawberry farm varies directly with its number of acres. What is the constant of va
kow [346]

Answer:

16\ acres

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the number of acres

y ---> total operating costs

we have the ordered pair (20,551,520)

For x=20 acres, y=$551,520

<em>Find the value of the constant of proportionality k</em>

k=\frac{y}{x}

substitute the values of x and y

k=\frac{551,520}{20}=\$27,576\ per\ acre

The linear equation is equal to

y=27,576x

Find out how many acres are on a farm with a total operating cost of $441,216

so

For y=$441,216

substitute in the linear equation the value of y and solve for x

441,216=27,576x

x=441,216/27,576

x=16\ acres

5 0
4 years ago
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A bag contains 4 yellow, 2 red, and 6 green marbles. Two marbles are drawn. The first is replaced before the second is
vivado [14]
The number of red marbles pulled is C: 0.17

Here's why:
2+6+4= 12
2/12= 1/6
1/6= .166666667 or about .17

I hope this helps:)
7 0
3 years ago
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Can 4x+35 be factored? yes or no​
enot [183]

Answer:

no it is not able to be factored

7 0
3 years ago
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Solve for x<br> (X+1)(x+5)=(x+3)(x-1)
Roman55 [17]

Answer: x=−2

Step-by-step explanation:

5 0
3 years ago
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Kayson is looking at two buildings, building A and building B, at an angle of elevation of 40°. Building A is 120 feet away, and
Sav [38]

Answer: Choice B

Building A; it is around 50.34 feet taller than building B

======================================================

Explanation:

Draw two right triangles such that they both have a reference angle of 40 degrees. Since it's an angle of elevation, place the angle near the horizontal side.

Opposite each reference angle is the height of the building, which we'll call h.

The adjacent side is the horizontal distance from the person to the building.

Building A is 120 ft away so it's height is...

tan(angle) = opposite/adjacent

tan(40) = h/120

h = 120*tan(40)

h = 100.69

This value is approximate. Make sure your calculator is in degree mode.

-----------------

Repeat the same idea for building B, except the adjacent side is smaller this time.

tan(angle) = opposite/adjacent

tan(40) = h/60

h = 60*tan(40)

h = 50.35

This value is approximate.

-----------------

Now subtract the heights

100.69 - 50.35 = 50.34

This shows that building A is roughly 50.34 taller than building B.

7 0
3 years ago
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