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3 years ago

What number should be added to both sides of the equation to complete the square? x^2 – 6x = 5

Mathematics

1 answer:

NeTakaya3 years ago

5 0

You will add $( \frac{-6}{2} )^{2}$
$(-3)^{2}$
9

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-5x+y=-10 and -4x-y=-26

Bad White [126]

<h2>Answer:</h2>

$\left\{\begin{matrix}x=4\\y=10\\\end{matrix}\right.$

<h2>Step-by-step explanation:</h2><h3>Solve the equation</h3>

$\left\{\begin{matrix}-5x+y=-10\\-4x-y=-26\\\end{matrix}\right.$

_____________________________________

<h3>Add the two equations</h3>

$-5x+y+(-4x-y)=-10+(-26)$

____________________________

<h3>Remove parentheses</h3>

$-5x+y-4x-y=-10-26$

_________________________________________________

<h3>Cancel one variable</h3>

$-5x-4x=-10-26$

___________________________________________

<h3>Combine like terms</h3>

$-9x=-10-26$

______________________________________________

<h3>Calculate the sum or difference</h3>

$-9x=-36$

________________________________________________

Divide both sides of the equation by the coefficient of variable

$x=\frac{-36}{-9}$

____________________________________________________

Determine the sign for multiplication or division

$x=\frac{36}{9}$

_________________________________________

Cross out the common factor

$x=4$

<h3>_____________________________________________</h3><h2>Step-by-step explanation:</h2><h3>Substitute into one of the equations</h3>

$-4\times4-y=-26$

____________________________________________________

Calculate the product or quotient

$-16-y=-26$

______________________________________________________

Rearrange variables to the left side of the equation

$-y=-26+16$

_____________________________________________

Calculate the sum or difference

$-y=-10$

_________________________________________-

Divide both sides of the equation by the coefficient of variable

$y=10$

<em>I hope this helps you</em>

8 0

2 years ago

Landon wrote that 3−2.6=4. Which statement about his answer is true?

max2010maxim [7]

Answer:

Without place values or decimals, this answer is correct numerically, but once you add those in, you find that the answer is actually 0.4

Step-by-step explanation:

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3 years ago

during the race runners drink 4 1/3 gallons of water and 3 5/6 gallons of a sports drink. how much more water than sports bevera

777dan777 [17]

They drank 1/2 more water than sports beverage

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2 years ago

For each ordered pair (x, y), determine whether it is a solution to the inequality 7x - 4y < 18.

Flura [38]

Answer:

(-2.-8) is the answer to the question

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3 years ago

There is a line whose y-intercept is 7 and whose slope is 3. What is the equation in slope intercept form?

avanturin [10]

Answer:

y = 3x + 7

Step-by-step explanation:

Slope intercept form: y = mx + b

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