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1 year ago

What number would you add to both sides of x² + 7x = 4 to complete the square?

Mathematics

1 answer:

Lyrx [107]1 year ago

6 0

The number would you add to both sides of x² + 7x = 4 to complete the square option C 7²/2.

<h3>What is completing the squares method for solving the quadratic method?</h3>

Suppose the considered quadratic equation is of the form

ax^2 + bx + c = 0

Then, completing the squares method tries to make a squared term in terms of x in the left side, so that x comes in linear form, instead of quadratic.

The given quadratic equation is

x² + 7x = 4

add 7²/2 to both sides of x² + 7x = 4 to complete the square

7²/2 = 49/4

x² + 7x + 49/4 = 4+ 49/4

(x + 7/2)² = 4+ 49/4

Thus, option C 7²/2 is correct.

Learn more about completing the square;

brainly.com/question/10905485

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Objects A and B are in harmonic motion modeled by

Zepler [3.9K]

Answer:

The phase difference between yA and yB is $\frac{-\pi }{12}$

Step-by-step explanation:

Given harmonic modeled as :

yA = 8 sin(2t - $\frac{\pi }{3}$ ) And

yB = 8 sin(2t - $\frac{\pi }{4}$ )

The function as written as :

y = a sin(ωt - Ф) where Ф is phase difference

So , phase difference between yA and yB = ( Ф_1 - Ф_2 )

Or phase difference between yA and yB = ( - $\frac{\pi }{3}$ + $\frac{\pi }{4}$ )

Or, phase difference between yA and yB = $(\frac{-4\pi +3\pi }{12})$

I.e phase difference between yA and yB = $\frac{-\pi }{12}$

Hence The phase difference between yA and yB is $\frac{-\pi }{12}$ Answer

4 0

3 years ago

Read 2 more answers

Determine the number that will complete the square to solve the equation after the constant term has been written on the right s

klemol [59]

Answer:

Step-by-step explanation:

Hello, "the constant term has been written on the right side", it means that we add 18 to both sides to get.

$x^2+3x-18=0\\\\x^2+3x=18\\\\\text{We can see the beginning of } (x+\dfrac{3}{2})^2 \\\\x^2+3x=(x+\dfrac{3}{2})^2-\dfrac{3^3}{2^2}=18\\\\(x+\dfrac{3}{2})^2=18+\dfrac{9}{4}=\dfrac{18*4+9}{4}=\dfrac{81}{4}$

Hope this helps.

Thank you.

6 0

3 years ago

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1/(x+4)(x-2)(x-5) excluded values

UNO [17]

Answer:

see explanation

Step-by-step explanation:

The excluded values are any values of x that make the function undefined

Given

$\frac{1}{(x+4)(x-2)(x-5)}$

The denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the values that x cannot be.

(x + 4)(x - 2)(x - 5) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

x - 5 = 0 ⇒ x = 5

x = - 4, x = 2, x = 5 are the excluded values

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2 years ago

If you change the sign of a point’s x-coordinate from positive to negative, how will the location of the point change?

SCORPION-xisa [38]

The plotted point will be reflected across the y-axis.

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3 years ago

On a particular map of Denmark, 1 inch represents 12 miles. What does 2 in a half inches on the map represent? Write a number se

Rufina [12.5K]

Answer:

Step-by-step explanation:

1 inch / 12 miles = 2.5 inch / x Cross multiply

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2 years ago