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3 years ago

The general form of the equation of a circle is x^2+y^2−4x−8y−5=0.

1 answer:

5 0

X² - 4x + y² - 8y = 5

Complete the square:
x² - 4x + (4) + y² - 8y + (16) = 5 + (4) + (16)
→ (x - 2)² + (y - 4)² = 25

Center: (2,4)
radius: √25 = 5

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Someone please help! find x round to the nearest tenth! trigonometry!

TEA [102]

Answer:

Step-by-step explanation:

Look at the picture.

Use sine:

$sine=\dfrac{opposite}{hypotenuse}$

We have a measure of the angle and length of the opposite:

$\alpha=28^o,\ opposite=350\ ft$

$\sin28^o\approx0.4695$

Substitute:

$\dfrac{350}{x}=0.4695$

$\dfrac{350}{x}=\dfrac{4695}{10000}$ <em>cross multiply</em>

$4695x=3500000$ <em>divide both sides by 4695</em>

$x=\dfrac{3500000}{4695}\to x\approx745.5$

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3 years ago

Just Peachy Orchard produced 1100 bushels of peaches last year. This year the owner earned $8800 from sales. He's thinking that

Slav-nsk [51]

Answer:

$P(t) ={8*(1.01)^t}$

Step-by-step explanation:

The number of bushels produced is given by:

$B(t)= 1100(1.1)^t$

The owner's income is given by:

$S(t) = 8800(1.111)^t$

Income is given by the price per unit multiplied by the number of units sold. Therefore, the price function can be represented as:

$P(t) =\frac{S(t)}{B(t)} \\P(t) =\frac{8800(1.111)^t}{1100(1.1)^t} \\P(t) =\frac{8*1100(1.1)^t*(1.01)^t}{1100(1.1)^t}\\P(t) ={8*(1.01)^t}$

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3 years ago

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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