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pshichka [43]
2 years ago
12

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

Mathematics
1 answer:
Lyrx [107]2 years 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

#SPJ1

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malfutka [58]
We can use the Front Outside Inside Last (FOIL) method to expand the double bracket

(3x+5)(5x-1)

Front ⇒(3x)(5x)=15 x^{2}
Outside ⇒(3x)(-1)=-3x
Inside ⇒(5)(5x)=25x
Last ⇒(5)(-1)=-5

Put the four terms together we have
15 x^{2} -3x+25x-5, then collect like terms
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5 0
3 years ago
Read 2 more answers
Drag the tiles to match each measurement with an equivalent measurement.
KonstantinChe [14]

Answer:

Measurement        Equivalent Measurement

6 pints                    12 cups

16 pints                   8 quarts

8 fluid ounces        1 cup

8 pints                    1 gallon

Step-by-step explanation:

1 gallon = 4 quarts

1 quart = 2 pints

1 pint = 2 cups

1 cup = 8 fluid ounces

Measurement        Equivalent Measurement

6 pints                    12 cups

16 pints                   8 quarts

8 fluid ounces        1 cup

8 pints                    1 gallon

8 0
3 years ago
The length of the sides of a square is 10 meters. Find the length of the diagonals of the square
BaLLatris [955]

。☆✼★ ━━━━━━━━━━━━━━  ☾  

Use Pythagoras' theorem:

a^2 + b^2 = c^2

Sub the values in:

10^2 + 10^2 = c^2

200 = c^2

Square root to find the answer:

c = 14.14

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7 0
3 years ago
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Twelve basketball players, whose uniforms are numbered 1 through 12, stand around the center ring on the court in an arbitrary a
Ksju [112]

Answer:

Shown

Step-by-step explanation:

Given that twelve basketball players, whose uniforms are numbered 1 through 12, stand around the center ring on the court in an arbitrary arrangement.

Let us consider consecutive numbers in this set.

1+2+3 =6

After this we find the totals are more than 20.

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3 years ago
Need help ASAP!! I'll give brainliest to the correct answer!!!
Lapatulllka [165]
X = 12 inches so D is correct
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