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2 years ago

What number should be added to both sides of the equation to complete the square ? x2 + 12x = 11

Mathematics

2 answers:

svlad2 [7]2 years ago

6 0

Answer:

36.

explanation:

We have been given an equation and we are asked to find the number that should be added to both sides of the equation to complete the square. To complete the square we divide the constant with x term by two and add the square of that number to both sides of equation to complete the square.We can see that constant of x term is 12, so let us divide 12 by 2. Therefore, we should add 36 to both sides of our equation to complete the square.

Korvikt [17]2 years ago

3 0

You can add a lot of numbers (or so I think). One number I think you can add is 31.

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2 years ago

#2 and please provide explaination !

quester [9]

Answer:

Total overripe fruit = 48

Step-by-step explanation:

Step 1: Assume the value of oranges

Let oranges be x

Oranges = x

Apples = 32 + x

Overripe oranges = 3/5 of oranges

= 3x/5

Overripe apples = 1/3 of apples

= 1/3 (32 + x)

Step 2: Find x (oranges)

Number of overripe apples and number or overripe oranges are equal.

3x/5 = 1/3 (32 + x)

3 (3x) = 5(32 + x)

9x = 160 + 5x

4x = 160

x = 40

Step 3: Find the total number of overripe fruit.

Total overripe fruit = Overripe apples + Overripe oranges

Total overripe fruit = 1/3 (32 + x) + 3x/5

Total overripe fruit = 1/3 (32 + 40) + 3(40)/5

Total overripe fruit = 24 + 24

Total overripe fruit = 48

4 0

2 years ago

A father decided to give twenty five percent of his monthly income to his three children as their monthly allowance. The eldest

Helen [10]

Answer:

The youngest child will receive $2000

Step-by-step explanation:

A father decided to give 25% of his monthly income to his three children as their monthly allowance.

The eldest child got 45% of the allowance and the youngest got 20%. This means that the second child got:

100 - (45 + 20) = 100 - 65 = 35%

The second child received $3500.

Let the 25% of his monthly income be x.

Hence:

35% of x = 3500

=> $\frac{35}{100} * x = 3500$

$x = \frac{3500 * 100}{35}$

x = $10000

The amount the man shared among his children is $10000.

Hence, the youngest child (20%) will receive:

20% of $10000

$\frac{20}{100} * 10000$

= $2000

The youngest child will receive $2000.

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3 years ago

If a job can be completed in 4 hours, then the rate of work is ____ of the job per hour

Nataly_w [17]

It would be equal to 1/4.

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