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almond37 [142]
3 years ago
5

10. Consider the circles with the following equations:

Mathematics
1 answer:
zloy xaker [14]3 years ago
5 0

Answer:

  a) 5 and 10

  b) 15

  c) The center-to-center distance is the sum of the radii, so the circles must be tangent.

Step-by-step explanation:

a) Each equation is in standard form:

  (x -h)^2 + (y -k)^2 = r^2

so the first circle has radius √25 = 5, and the second circle has radius √100 = 10. The radii of the circles are 5 and 10.

__

b) The center-to-center distance can be found from the distance formula:

  d = √((x2-x1)^2 +(y2-y1)^2) = √((9-0)^2 +(12-0)^2) = √(81 +144)

  d = √225 = 15

The distance between centers if 15 units.

__

c) The circles must be tangent because their center-to-center distance is the same as the sum of their radii.

  5 + 10 = 15

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George wrote an integer. The opposite of George’s integer is -53. Which of these statements about George’s integer must be true?
vlabodo [156]

The George's integer must be true for option D)I and IV.

What is integer?

 A full number (not a fraction) that can be positive, negative, or zero is called an integer . -5, 1, 5, 8, 97, and 3, 043 are some examples of integers. 1.43, 1 3/4, 3.14, and other numbers are examples of non-integer numbers. Integer, which means full or whole in Latin, is the root of the English term integer. A particular category of numbers called integers includes zero, positive numbers, and negative numbers. All whole numbers, both negative and positive, and 0 are considered integers.

Here the opposite of George integer is -53.

We know that opposite value of x is -x.

Then George integer is 53.

George integer must be true for The given options I. the integer is 53 and IV.The integer has absolute value of 53.

Therefore the correct option is  D) I and IV.

To learn more about integer refer the below link

brainly.com/question/13723636

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5 0
1 year ago
Find the equation of the line that has slope, m = 0, and passes through the point (4, −3).
inna [77]

Answer:

c) y= -3

Step-by-step explanation:


6 0
3 years ago
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Setler [38]

Answer:

$320

Step-by-step explanation:

From simple interest formular

A=P(1+int) where A is amount payable, P is principal amount borrowed and int is interest gained

int=Rt where R is rate of interest in decimal form, t is duration

The rate of 10% converted to decimal is 10/100=0.1

Substituting P for $3200, R for 0.1 and t for 1 year

A=$3200(1+(0.1*1))=$3200*(1+0.1)=3200*1.1=$3520

To find the interest, it's A-P hence $3520-$3200=$320

Therefore, interest owed is $320

6 0
3 years ago
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