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2 years ago

1. A circle with center (-5, 2) is tangent to the y-axis. What is the radius of the circle? What is the equation of the circle?

Mathematics

1 answer:

Bess [88]2 years ago

4 0

Answer:

Step-by-step explanation:

1) The center lies on the vertical line x = -5 and the the circle is tangent to (touches in one place only) the y-axis. Thus, the radius is 5.

2) Starting with (x - h)^2 + (y - k)^2 = r^2 and comparing this to the given

(x - 4)^2 + (y + 3)^2 = 6^2

we see that h = 4, k = -3 and r = 6. The center is at (4, -3) and the radius is 6.

3) Notice that A and B have the same x-coordinate, x = 15. The center of the circle is thus (15, -2), where that -2 is the halfway point between the two given points in the vertical direction. Arbitrarily choose A(15, 4) as one point on the circle. Then the equation of this circle is

(x - 4)^2 + (y + 3)^2 = r^2 = 6^2, where the 6 is one half of the vertical distance between A(15, 4) and B(15, -8) (which is 12).

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alexandr1967 [171]

Step-by-step explanation:

64+72+4x+20=180(Sum of angles of a triangle )
156+4x=180
4x=180-156
4x=24
X=24/4
X=6

Therefore The value of X is 6 degree.

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2 years ago

If the sum (3x ^ 2 - 2x + 12) + (x ^ 2 + 8x - 2) is multiplied by 2x ^ 2 what is the result written in standard form ?

alexandr402 [8]

(3x^2 - 2x + 12) + (x^2 + 8x -2)
= (4x^2+6x+10)(2x^2)
= 4x^2(2x^2)+6x(2x^2)+10(2x^2)
= 8x^4 + 12x^3 + 20x^2

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3 years ago

A university class has 22 students: 3 are nursing majors, 9 are psychology majors, and 10 are business majors. (Each student has

KiRa [710]

Answer:

27/462

.058

Step-by-step explanation:

the probability that the first student, selected at random, is a nursing student is 3/22.

the probability that the second student, selected at random from the remaining students, is an accounting major is 9/21.

the probability the first student chosen is a nursing student and the second student chosen is an accounting major is therefore 3/22 * 9/21 = 27/462.

7 0

2 years ago

What is the sum of the measures of the interior angles of a 15-sided polygon?

AlladinOne [14]

Answer:

B. 2340

Step-by-step explanation:

Interior angles of a polygon is given by

(n – 2)180 where n is the number of sides

(15-2) *180

13*180

2340

3 0

3 years ago

Winston's team participated in a total of 22 chess matches. Winston

Zepler [3.9K]

Answer:

Peter Jonathan Winston (March 18, 1958 – disappeared January 26, 1978) was an American chess player from New York City

Step-by-step explanation:

In late 1977, Winston attended a FIDE-rated tournament at Hunter College High School in New York City. Despite being one of the highest-rated players in the tournament, Winston lost all nine of his games. A few months later, on January 26, 1978, following further surprising game losses, Peter Winston vanished and was never heard from again. According to some sources, Winston's disappearance occurred when he left his home without money, identification, or luggage during a severe winter storm. Many chess players who were close to or acquainted with Winston claim that the champion chess player's mental health had deteriorated, along with his game performance, in the last few years of his life, and that the decline in his mental health may have led to his disappearance.

3 0

2 years ago

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