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2 years ago

Solve by completing the square x^2-6x-4=0

Mathematics

1 answer:

Vesna [10]2 years ago

6 0

Answer:

x = 3 ± $\sqrt{13}$

Step-by-step explanation:

x² - 6x - 4 = 0 ( add 4 to both sides )

x² - 6x = 4

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 3)x + 9 = 4 + 9

(x - 3)² = 13 ( take square root of both sides )

x - 3 = ± $\sqrt{13}$ ( add 3 to both sides )

x = 3 ± $\sqrt{13}$

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A rectangle is 10 inches smaller than it is wide. The perimeter of the rectangle is 80 inches. Find the length and the width of

Oxana [17]

Answer:

l = 15 and w = 25

Step-by-step explanation:

$l - w = - 10$

$l + w = 40$

Adding both equations

$2l = 30$

$l = 15$

subtracting both equation

$2w = 50$

$w = 25$

Hope it helps..........

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3 years ago

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What are the multiples of rotation for a rectangle

Sedbober [7]

Answer:

Rotation of 90° (CounterClockwise) (x, y) (-y, x)

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Step-by-step explanation:

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3 years ago

Which equation represents a proportional relationship?

asambeis [7]

Given:

Four equations in the options.

To find:

The equation which represents a proportional relationship.

Solution:

If y is proportional to x, then

$y\propto x$

$y=kx$

where, k is the constant of proportionality.

In this case if x=0, then y=0. It means the graph of a proportional relationship passes through the origin.

From the given options, only option B, i.e., $y=\dfrac{1}{4}x$ , is of the $y=kx$ , where, $k=\dfrac{1}{4}$ .

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2 years ago

Simplify the following expression. (4x − 8)(4x + 8)

vitfil [10]

Answer:

16x^2 - 64

Step-by-step explanation:

(4x − 8)(4x + 8)

We recognize that this is the difference of squares

(a-b) (a+b) = a^2 - b^2

=(4x)^2 - 8^2

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3 years ago

What is the value of the expression StartAbsoluteValue negative 7 EndAbsoluteValue + StartAbsoluteValue negative 4 EndAbsoluteVa

dolphi86 [110]

Answer:

Step-by-step explanation: Because the absoulute value of 8 is 8 then the absoultue value of 7 is 7. Then add them together it equals 15 :)

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3 years ago

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