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3 years ago

Which one of the following equations represents a circle with its center of origin?

Mathematics

1 answer:

babymother [125]3 years ago

3 0

Answer:

A) x² + y² = 5

Step-by-step explanation:

The equation of the circle:

(x - h)² + (y - k)² = r²

The center is (h, k)

Wen the center is the origin we have, h = 0, k = 0:

x² + y² = r²

The only equation in same format is the first one

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Use implicit differentiation to find an equation of the tangent line to the curve at the given point.

andrew11 [14]

Differentiating both sides of

$x^2 + 2xy - y^2 + x = 20$

with respect to $x$ yields

$2x + 2y + 2x \dfrac{dy}{dx} - 2y \dfrac{dy}{dx} + 1 = 0 \\\\ \implies (2x-2y) \dfrac{dy}{dx} = -1 - 2x - 2y \\\\ \implies \dfrac{dy}{dx} = \dfrac{1 + 2x + 2y}{2(y-x)}$

At the point (3, 4) (so $x=3$ and $y=4$ ), the tangent line has slope

$\dfrac{dy}{dx} = \dfrac{1 + 2\times3 + 2\times4}{2(4-3)} = \dfrac{15}2$

Then the tangent line to (3, 4) has equation

$y - 4 = \dfrac{15}2 (x - 3) \implies \boxed{y = \dfrac{15}2 x - \dfrac{37}2}$

7 0

2 years ago

please answer this question ASAP and all answer questions I beg you please answer all questions correctly I will give you a brai

Travka [436]

Answer:

first pic: 22

2nd pic: 31

3rd and 4th pic: 5, 5, 3, 4, 3 (in order)

last pic: c=7p

8 0

3 years ago

Which equation represents a nonlinear function?

Luden [163]

The correct answer is: [A]: " x(y – 5) = 2 " .
_____________________________________________________
Consider:
_____________________________________________________
Choice: [A]: " x(y–5) = 2 " ;

Divide each side by "x" ;

" [x(y – 5)] / x = 2/x " ;

→ y – 5 = 2/x ;

Add "5" to each side of the equation:

y – 5 + 5 = 2/x + 5 ;

→ y = 2/x + 5 ; not a line; since one cannot divide by "zero" ; there would be no "point" on the graph at "x = 0". So, this answer choice: [A] is correct.
_______________________________________________________
Choice [B]:

y -2x -18 = 0

y - 2x = 18

y = 18 + 2x ; y = 2x + 18 ; is a line.
_________________________________________________
Choice C) 3y + 12 - 6x = 5 ;

3y = 5 - 12 + 6x ;

3y = -7 + 6x ; 3y = 6x - 7 ; y = 6x/3 - 7/3 ; y = 2x - 7/3 ; is a line.
_________________________________________________
Choice: [D]:

2(y+x) = 0 ;

[2*(y+x)] / 2 = 0/2 ; y + x = 0 ; y = -x ; is a line.
_________________________________________________

4 0

3 years ago

Read 2 more answers

Using the Associative Property which expression is equivalent to (2+x)+4=

Anna35 [415]

Answer:

x+6

Step-by-step explanation:

The given expression is (2+x)+4.

The associative property is :

(a+b)+c= a+(b+c)

Here,

a = 2, b = x and c = 4

So,

(2+x)+4 = 2+(x+4)

= x+6

So, the equivalent expression is x+6.

6 0

3 years ago

Hari borrowed Rs. 126000 from a money-lender at 15% per annum simple interest,

amid [387]

Answer:

Rs. 112000

Step-by-step explanation:

Borrowed money = Rs. 126000
Interest rate = 15% PA simple
Time = 3 years

Hari is due to pay after 3 years:

126000* (1+ 3*15/100) = 182700

He pays Rs. 70700, remaining money is cleared by giving buffalo.

Cost of buffalo:

182700 - 70700= Rs. 112000

Answer is: Rs. 112000

7 0

3 years ago

Read 2 more answers