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2 years ago

Write the equation in standard form. Identity the center and radius. x² + y2 + 8x-4y-7=0

Mathematics

1 answer:

Masteriza [31]2 years ago

3 0

Answer:

See below

Step-by-step explanation:

Given equation:

x² + y² + 8x - 4y - 7 = 0

Convert this to standard form by completing the square:

(x - h)² + (y - k)² = r², where (h, k) - center, r - radius
x² + 2*4x + 4² + y² - 2*2y + 2² - 16 - 4 - 7 = 0
(x + 4)² + (y - 2)² - 27 = 0
(x + 4)² + (y - 2)² = 27
(x + 4)² + (y - 2)² = (√27)²

The center is (- 4, 2) and the radius is √27

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F = (4x-3)au carre - (x+3)(3-9x)

Vinvika [58]

Answer:

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Step-by-step explanation:

F = (4x-3) squared - (x + 3) (3-9x)

- develop and reduce (4x-3) to the edge

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Teresa made $192 for 12 hours of work at the same rate how much would she make for 18 hours of work

Nesterboy [21]

Step-by-step explanation:

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3 years ago

Suppose you are a salesperson for Quark Computer Company. Each month you earn $500 plus one sixth of your sales. What amount mus

Yuliya22 [10]

Answer:

sales equal $15,000

Step-by-step explanation:

x = amount of sales

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2500 = x/6

x = 15,000

5 0

3 years ago

Which expression is a perfect cube?

Bingel [31]

we know that

A perfect cube is a whole number which is the cube of another whole number or a number is a perfect cube if the cube root of that number is a whole number.

case a) $12x^{12} y^{18}$

$12x^{12} y^{18} = 12(x^{4} y^{6})^{3}$

the cube root of $12$ is not a whole number

therefore

The expression is not a perfect cube

case b) $12x^{27} y^{125}$

$12x^{27} y^{125} = 12(x^{9})^{3}y^{125}$

the cube root of $12$ is not a whole number

the cube root of $y^{125}$ is not a whole number

therefore

The expression is not a perfect cube

case c) $64x^{15} y^{18}$

$64x^{15} y^{18} = (4 x^{5} y^{6})^{3}$

therefore

The expression is a perfect cube

case d) $64x^{27} y^{125}$

$64x^{27} y^{125} = (4 x^{9})^{3}y^{125}$

the cube root of $y^{125}$ is not a whole number

therefore

The expression is not a perfect cube

the answer is

$64x^{15} y^{18}$

7 0

4 years ago

Read 2 more answers