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Likurg_2 [28]
3 years ago
15

What is the center? (X-0.5)^2+(y-3.5)^2=16

Mathematics
2 answers:
pantera1 [17]3 years ago
5 0

Answer:

(.5,3.5) is the center and 4 is the radius

Step-by-step explanation:

(X-0.5)^2+(y-3.5)^2=16

This is written in the form

(x-h)^2 + (y-k)^2 =r^2

where (h,k) is the center and r is the radius

(X-0.5)^2+(y-3.5)^2=4^2

(.5,3.5) is the center and 4 is the radius

Aleks [24]3 years ago
3 0

Answer:

center = (0.5, 3.5)

Step-by-step explanation:

An equation of a circle is given by the general equation;

(x-a)² + (y-b)² = r²

Where (a, b) is the center of the circle and r is the radius of the circle.

Relating the general equation with the equation given;

(x- 0.5)² + (y- 3.5)² =16 with(x-a)² + (y-b)² = r²

then, a= 0.5, b = 3.5 and r = 4 units

Thus, the center is (0.5, 3.5)

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4 0
3 years ago
Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 56°, a = 16, b = 17 (5
Blizzard [7]

Answer:

B = 61.75°

Step-by-step explanation:

The formula for the Law of Sines is given as:

a/ sin A = b/ sin B

In the question, we are given the following values

A = 56°, a = 16, b = 17

We are to solve for B

Hence,

16/ sin 56° = 17/sin B

Cross Multiply

sin B × 16 = sin 56° × 17

sin B = sin 56° × 17/16

sin B = 0.88

B = arc sin(0.88)

B = 61.74536°

Approximately B = 61.75°

7 0
3 years ago
No link need right answer
serious [3.7K]

Answer:

1/9 of the cube

Step-by-step explanation:

5 0
3 years ago
Wes and Tma are a married couple and provide financial assistance to several persons during the current yeaL For the siruations
Gala2k [10]

Answer: Hello! Apparently, your question is incomplete since the rest of it is missing and we need the alternatives to work on. Fortunately, we were able to find the whole of it so we can help you! Here it goes:

Wes and Tina are a married couple and provide financial assistance to several persons during the current year. In all of the situations​ below, assume that any dependency tests not mentioned have been met.

Requirement

For each​ situation, determine whether the individuals qualify as Wes and​ Tina's dependents. ​(Select the best possible answer in each​ case.)

Requirement a. Brian is age 24 and Wes and​ Tina's son. He is a​ full-time student and lives in an apartment near campus. Wes and Tina provide over​ 50% of his support. Brian works as a waiter and earned​ $4,200.

Answer: He can't be considered a dependent because his income is higher than $4050. Also, he can't be considered a child since he is older than 23.

Requirement b. Same as Part a except that Brian is a​ part-time student.

Answer: The status of beig a student doesn't change the fact that he is over 23, so he is still not be claimed a dependent since he can't be considered a child.

Requirement c. Sherry is age 22 and Wes and​ Tina's daughter. She is a​ full-time student and lives in the college dormitory. Wes and Tina provide over​ 50% of her support. Sherry works​ part-time as a bookkeeper and earned​ $5,000.

Answer: She may be claimed as a dependent since she meets the four relationship requirements, age, abode and support. Also, being a student is not a strong influence in this case.

Requirement d. Same as Part c except that Sherry is a​ part-time student.

Answer: Under this condition, she can't be considered a dependent since she becomes an unqualified child. She's not a full-time student and over 18 years old.

Requirement e. ​Granny, age​ 82, is​ Tina's grandmother and lives with Wes and Tina. During the current​ year, Granny's only sources of income were her Social Security of​ $4,800 and interest on U.S. bonds of​ $4,500. Granny uses her income to pay for​ 40% of her total​ support, Wes and Tina provide the remainder of​ Granny's support.

Answer: Granny wouldn't be eligible, since her bonds are higher than $4050 , not considering her Social Security income.

5 0
4 years ago
Hace 10 años la edad de mi hijo era 1\7 de la del padre.Actualmente sus edades suman 52 años .¿cual es la edad del hijo?
Firdavs [7]

Answer:

Son's age is 14 and father's age is 38

Step-by-step explanation:

The question in English is

Ten years ago my son's age was 1\7 of the father's. Now his ages add up to 52. What is the son's age?

Let

x -----> son's age

y ---->  father's age

we know that

x-10=\frac{1}{7}(y-10) ------> equation A

x+y=52 -----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

The solution is the point (14,38)

see the attached figure

therefore

son's age is 14 and father's age is 38

6 0
4 years ago
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