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Pavlova-9 [17]
3 years ago
9

3. Which point lies inside the circle with equation (x - 2)2 + (y + 3)2 = 4?

Mathematics
2 answers:
timofeeve [1]3 years ago
8 0

Answer:

C (2,-4)

Step-by-step explanation:

You could graph the circle and then graph the points and see...

Or you could them in and see which point makes the left hand less than 4?

So if you wanted to draw it is a circle with center (2,-3) and radius 2.

If you want to do it the other way:

Plug in time!

(2,-5)?

(2-2)^2+(-5+3)^2

0^2+(-2)^2

0+4=4 so not this one

(2,-4)?

(2-2)^2+(-4+3)^2

0+1

1<4  so this one  (you can also see this in the drawing:

icang [17]3 years ago
5 0
(2,-4) is the answer
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The admision fee at a basket ball game is 350$ for children and 750$ for adults. On a certain night,1500 people enter the basket
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<u>Note: The only way to solve this problem is by adjusting the fees to $3.50 and $7.50.</u>

Answer:

<em>1300 children attended the basketball game</em>

Step-by-step explanation:

System of Equations

Let's call:

x = number of children attending the basketball game

y = number of adults attending the basketball game

On a certain night, 1500 people enter the game, thus:

x + y = 1500           [1]

Since each admission fee for children cost $3.50 and $7.50 for adults and it was collected $6050, thus:

3.50x + 7.50y = 6050            [2]

From [1]:

y = 1500 - x

Substituting in [2]:

3.50x + 7.50(1500 - x) = 6050

Operating:

3.50x +  11250 - 7.50 = 6050

-4x = 6050 - 11250

Solving:

x = 1300

1300 children attended the basketball game

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Natalie’s income statement for the month of October is shown. Natalie monthly income statement for October. Total wages are 3,00
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Natalie’s net income for the month of October is $1,930.

<h2>Net Income </h2>

The net income of a person is the income of the person that is left with him after deducting all of his\her expenses and deductions.

\rm Net\ Income = Total\ salary - Total\ expenses - Deductions

<h2 /><h2>Given to us</h2>
  • Natalie's monthly income statement for October. Total wages are 3,000 dollars.
  • Total expenses are 1,070 dollars.

<h3 /><h3>Natalie’s net income</h3>

the total wage Natalie is already given is $3,000, and her expenses as $1,070, while there are no deductions from his salary. therefore,

\rm Natalie 's\ Net\ Income= Total\ salary - Total\ expenses - Deductions

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Hence, Natalie’s net income for the month of October is $1,930.

Learn more about Net Income:

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