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2 years ago

Consider equation of circle x2-2x+y2-4y-4=0,if line 2x-y+a=0 is its diameter then find value of a

Mathematics

1 answer:

g100num [7]2 years ago

4 0

Answer:

Step-by-step explanation:

x² - 2x + y² - 4y - 4 = 0

x² - 2x + y² - 4y = 4

complete the squares

(x² - 2x + x₀) + (y² - 4y + y₀) = 4

the unknown number will be the square of half of the x¹ coefficient

(x² - 2x + 1) + (y² - 4y + 4) = 4 + 1 + 4

(x - 1)² + (y - 2)² = 9

This tells us that the circle is centered on (1, 2)

Which is also a point on the diameter

2x - y + a = 0

a = y - 2x

a = 2 - 2(1)

a = 0

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2 years ago

The variables y and x have a proportional relationship, and y = 7 when x = 2. What is the value of y when x = 5? Enter your answ

Vsevolod [243]

Answer:

17.5

Step-by-step explanation:

Given that the variables x and y have a proportional relationship.

i.e. y is directly proportional to x or can be written as

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When x =2, y =7

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3 years ago

What is the domain for each function below? Choose the correct inequality symbol from the drop down menu and fill in the blank w

erik [133]

Answer:

$x \le 3$

$x \ge 0$

Step-by-step explanation:

The functions, missing from the question are:

$f(x) = \sqrt{3 - x$

$f(x) = \sqrt{3 x$

Required

Determine the domain

To get the domain, means we want to get the possible values of x.

(a)

$f(x) = \sqrt{3 - x$

Equate 3 - x to 0

$3 - x = 0$

Solve for x

$-x = -3$

$x = 3$

From the calculated value of x above;

When x exceeds 3; f(x) = undefined

So: the domain is:

$x \le 3$

(b)

$f(x) = \sqrt{3x$

Equate 3x to 0

$3x = 0$

Solve for x

$x = 0$

From the calculated value of x above;

When x falls below 0; f(x) = undefined

So: the domain is:

$x \ge 0$

4 0

2 years ago

Simplify: 4.1c-(3.2c)-0.1c

OverLord2011 [107]

Answer:

0.8c

Step-by-step explanation:

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2 years ago

Please help me asap i will give a brainliest to the first person to answer

kirill [66]

Answer:

6=a

7=b

9=b

Step-by-step explanation:

SOMEONE DELETED MY ANSWER AND IT WAS CORRECT ANY WAY SORRY I DONT KNOW ALL OF THEM

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2 years ago