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GenaCL600 [577]
2 years ago
7

A circle has a diameter with endpoints at -2 + i and -6 -11i. What is the center of the circle?

Mathematics
1 answer:
pashok25 [27]2 years ago
7 0

Answer:

- 4 - 5i

Step-by-step explanation:

The centre of the circle is the average of the endpoints

centre = (- 2 + i - 6 - 11i ) ÷ 2

          = (- 8 - 10i ) ÷ 2

         = - 4 - 5i

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Combining the operations
The allowed operations are:

Add the same amount to both sides (either x's or ones)
Subtract the same amount from both sides (either x's or ones)
Multiply both sides by the same number (but not by zero)
Divide both sides by the same number (but not by zero)
(There are others, too, but they are not needed in simple equations.)

The goal is to FIRST add and subtract until we have ONLY x's (blocks) on one side and ONLY ones (circles) on the other. Then, if you have more than one block, you need to divide so as to arrive to the situation with only one block on the one side, which is the solved equation!
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3 years ago
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The admission fee at a local zoo is $1.50 for children and $5.00 for adults. On a certain day, 3000 people enter the zoo and $9,
vlabodo [156]

1600 children and 1400 adults attended

<h3>How to determine the number of adults?</h3>

Let the children be x and adult be y.

So, we have the following equations:

x + y = 3000

1.5x + 5y = 9400

Make x the subject in x + y = 3000

x = 3000 - y

Substitute x = 3000 - y  in 1.5x + 5y = 9400

1.5(3000 - y) + 5y = 9400

Expand

4500 - 1.5y + 5y = 9400

Evaluate the like terms

3.5y = 4900

Divide both sides by 3.5

y = 1400

Substitute y = 1400 in x = 3000 - y

x = 3000 - 1400

Evaluate

x = 1600

Hence, 1600 children and 1400 adults attended

Read more about system of equations at:

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8 0
2 years ago
PLEASE HELP I’LL MAKE YOU THE BRAINIEST <br> find the area of the trapezoid to the nearest tenth
murzikaleks [220]

Answer:

2.7m

Step-by-step explanation:

1.0m

0.5m

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2.7m - answer

5 0
2 years ago
the administration of community hospital is studying the activity of their cardiovascular telemetry unit, which has 12 beds. dur
hoa [83]

The required  the average daily census for this period is 12.

<h3>What is Average?</h3>

A Average can be characterized as the amount of all numbers isolated by the all out number of values. A mean can be characterized as a normal of the arrangement of values in an example of information. At the end of the day, a normal is likewise called the math mean. It is known as a mean to Depict the average.

<h3 /><h3>According to question:</h3>

there were 2,200 inpatient service days.

Number of days between this period = 184 days

So, average daily census = 2200/184

11.95

⇒ 12 up to whole number.

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6 0
1 year ago
You are scheduled to work 34 hours per week at your new job, where you earn $13.1 per
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13.1 an hour, 34 hours a week
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to find out how many weeks, divide 4300 and 445.4 which is 9.65 weeks, which is technically 10 weeks

it would take 10 weeks to earn 4300
6 0
1 year ago
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