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3 years ago

What is the radius of the circle shown below? x^2+y^2-2x+6y+9=0

Mathematics

1 answer:

aliina [53]3 years ago

8 0

Answer:

Step-by-step explanation:

The graph below shows the radius to be 1.

If we rewrite the equation to standard form, we have ...

(x^2 -2x +1) +(y^2 +6y +9) = -9 +1 +9

(x -1)^2 +(y +3)^2 = 1

The square of the radius is 1, so the radius is 1.

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Which equation is represented by Ms. Wilson’s model

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3 years ago

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3 years ago

Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?

Vaselesa [24]

ANSWER

$f( - 6) = 10$

EXPLANATION

The given function is
$f(x) = {x}^{4} + 8 {x}^{3} + 10 {x}^{2} - 7x + 40$

According to the remainder theorem,

$f( - 6) = R$
where R is the remainder when
$f(x)$

is divided by
$x + 6$

We therefore substitute the value of x and evaluate to obtain,

$f( - 6) = { (- 6)}^{4} + 8 {( - 6)}^{3} + 10 { (- 6)}^{2} - 7( - 6)+ 40$

$f( - 6) = 1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40$

$f( - 6) = 1296 - 1728 + 360 + 42+ 40$

This will evaluate to,

$f( - 6) = 10$

Hence the value of the function when
$x = - 6$

is
$10$

According to the remainder theorem,
$10$
is the remainder when

$f(x) = {x}^{4} + 8 {x}^{3} + 10 {x}^{2} - 7x + 40$
is divided by
$x + 6$

3 0

3 years ago

Can someone help me plzzz multiply 46 bye 78

lorasvet [3.4K]

The answer is 3588 if you multiply 46 x 78 you get 3588

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3 years ago

*GIVING BRAINLIEST 50POINTS*

PilotLPTM [1.2K]

Answer:

1.x^7

2.x^10

3.a^2

4. 5

Step-by-step explanation:

1. x^(5+2)=x^7

2.x^(5*2)=x^10

3.a^(5-3)=a^2

4. 5 * 1=5

8 0

3 years ago

Read 2 more answers