Graph the circle x2 + y2 - 4x – 10y + 20 = 0.

Mathematics

1 answer:

Goshia [24]3 years ago

3 0

The center of a circle is going to be (-3,5) and the radius of the circle is 4

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For a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. How much did the family spend on

xxTIMURxx [149]

Answer:

1) The amount the family spent on pizza is $300

2) The amount the family spent on soda is $43.2

3) The amount the family spent in all is $343.2

Step-by-step explanation:

The number of pizzas bought by the family = 24

The price of each pizza = $12.50

The number of bottles of soda the family bought = 36

The price of each bottles of soda = $1.20

1) The amount the family spent on pizza = 24 × $12.50 = $300

2) The amount the family spent on soda = 36 × $1.20 = $43.2

3) The amount the family spent in all = The amount the family spent on pizza + The amount the family spent on soda

∴ The amount the family spent on soda = $300 +$43.2 = $343.2.

7 0

2 years ago

What did sin theta/theta whisper worksheet answer key worksheet?

djyliett [7]

To evaluate
$\lim_{\theta \to 0} \frac{\sin\theta}{\theta}$

First, we input 0, for theta in the function to obtain:
$\frac{\sin0}{0} = \frac{0}{0}$

This is an indeterminate form.

So, we apply L'Hopital's rule by differentiating the numerator and the denominator as follows:

$\lim_{\theta \to 0} \frac{\sin\theta}{\theta}=\lim_{\theta \to 0} \frac{ \frac{d}{d\theta} (\sin\theta)}{\frac{d}{d\theta}\theta} \\ \\ =\lim_{\theta \to 0} \frac{\cos\theta}{1}=\cos0=1$