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4 years ago

Which of the following pair(s) of circles have l as a common internal tangent? Select ALL that apply.

Mathematics

2 answers:

koban [17]4 years ago

8 0

Answer:

A and B

A and C

Step-by-step explanation:

Common internal tangents intersect the segment joining the centers of the two circles.

Tangent I is common internal tangent to circles A and B as the line joining the centers of circles will intersect the tangent I.

Tangent I is also a common internal tangent to circle A and C.The line joining the centers of circles A and C intersects tangent I .

Tangent I is not a common internal tangent to circles B and C,

kkurt [141]4 years ago

7 0

It looks like only A and B, but could be trick question?

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Student Council sponsors weekly dances at their school on Friday nights. The admission price for each person is $4 for Student C

Vika [28.1K]

The total cost during a school year to attend a given number of daces is a

linear function of the number of dances attended.

The correct responses are;

Part A; The function for the total cost is; c = 50 + 4·n

Part B; The total cost for attending 15 dances is; c = $110

1. The initial cost is $50 and the rate is $4

2. The annual fee, the admission price, and the number of dances attended

3. The solution are: Part A; c = 50 + 4·n, Part B; c = $110

Reasons:

The given parameter are;

Admission price per person = $4

The annual fees members pay = $50

A. The function that can be used to determine c is a linear function, with a y-intercept (initial value) of 50 and a rate (slope) of 4

The total cost to attend n dances a year, c = 50 + 4·n

B. If a member attends 15 dances a year, we have;

n = 15

Therefore;

The total cost, c = 50 + 4 × 15 = 110

The total cost for 15 dances a year, c = $110

1. As the number of dances attended increase, the total cost increase, and the cost when no dance is attended by a member during the year is $50.

2. The essential information that can be used to find the solution are;

The admission price for each person.

The annual fee for membership dues.

The number of dances a member attends in a year.

3. Part A; c = 50 + 4·n

Part B; c = $110

Learn more about linear functions here:

brainly.com/question/20478559

8 0

3 years ago

Please hurry I will mark you brainliest

Igoryamba

Answer:

12500

Step-by-step explanation:

11830 - 10464 = 1366 (difference 1995 to 96)

10464 - 8958 = 1506 (94 to 95)

8958 - 8135 = 823

8135 - 7537 = 598

7537 - 6642 = 895

6642 - 5942 = 700

5942 - 3579 = 2363 (5 years)

so, we have the annual differences over 11 years.

the expectation for the following year would be based on the mean value of growth rate and not on the mean value of the absolute numbers, as we know the number of transactions for 1997 will be higher than for 1996.

so, the mean value of growth over these 11 years is 750.

so, based on this we would estimate for 1997

11830 + 750 = 12580 (12500 being the closest answer option).

but if the business environment has changed over the most recent years, we should not bring in earlier years into that calculation (or at least not with the same weight).

we could argue that the last 2 years had a totally different behavior than the years before.

so, just creating a mean value of the last 2 years' changes would be

(1366 + 1506) / 2 = 2872 / 2 = 1436.

now, or prediction would be

11830 + 1436 = 13266, which would be closer to the 13500 answer option.

6 0

3 years ago

At the pet owner’s meeting, there are 20 people who own dog, and 35people who own cat and 9 people own goldfish. Some people own

Margaret [11]

Answer:

Step-by-step explanation:

Given that At the pet owner’s meeting, there are 20 people who own dog, and 35people who own cat and 9 people own goldfish. Some people own both catand dog and some people own both gold fish and cat. No dog owners owngoldfish. There are twice as many people who own both goldfish and catthan people who own both dog and cat.

Total no of people =52

The venn diagram attached gives a clear picture

assuming x to be owners of both dog and cat. Then 2x is for both goldfish and cats.

Totalling all mutually exclusive we get

64-3x=52

x=4

No of owners who own both cat and dog =4

7 0

3 years ago

Which equation is equivalent to x^4-y^4

Murljashka [212]

X⁴ - y⁴
x⁴ - x²y² + x²y² - y⁴
x²(x²) - x²(y²) + y²(x²) - y²(y²)
x²(x² - y²) + y²(x² - y²)
(x² + y²)(x² - y²)

3 0

3 years ago

2. A function g(x) is defined by the diagram shown below.

skad [1K]

Answer:

Step-by-step explanation:

diagram attached represents a function g(x).

Circle (1) (circle on the left) represents the set of domain (input values) and circle (2) represents the range (output values).

a). For input value x = 7, out put value of the function is y = 9.

Therefore, g(7) = 9 will be the answer.

b). Range of the function g(x) is the set of output values.

Range: {12, 9, 9, 17}

c). Inverse of the function g(x) will have,

Domain: {12, 9, 9, 17}

Range: {4, 7, 10, 15}

For input value of x = 9, there are two output values y = 7, 10.

Since, "a function can't have two output values for the same input value".

Therefore, inverse of the function g(x) will not represent a function.

8 0

4 years ago