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4 years ago

What number should be added to both sides of the equation to complete the square x^2+3x=6

1 answer:

8 0

Take half of the coefficient of x: It is 3, and half that is 3/2.

Then x^2+3x=6 becomes:

 x^2+3x + (3/2)^2 =6 + (3/2)^2, and

(x+3/2)^2 = 6 + 9/4

You were not asked to solve the equation, but why not do it for the practice?

Solve (x+3/2)^2 = 6 + 9/4 for x. There will be 2 values.

You might be interested in

What is the slope of (-3, 1) and (2, -1)

solmaris [256]

Answer:

the slope is -2/5

Step-by-step explanation:

you do y2-y1 on top of the division sign and x2-x1 on the bottom.

8 0

3 years ago

Circle towns limit form a perfectly circular shape that has a population of 20000 in the population density of 480 people per sq

Alex

Answer:

$D =\frac{P}{\pi X^2}$

And solving for the radius we got:

$X = \sqrt{\frac{P}{\pi D}}$

And replacing the data given we got:

$X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km$

And this value converted to meters is $X = 87.40 m$

Step-by-step explanation:

For this case we know the population size $P = 20000$ and we also know the population density $D = 480 \frac{people}{km^2}$

We can assume that the area is a circle. We also know that the formula for the population density is given by:

$D= \frac{P}{A}$

Where P represent the number of people and A the area. Since we are assuming a circle then the area is given by:

$A = \pi X^2$

With X the radius of the circle

And then the populationd density become:

$D =\frac{P}{\pi X^2}$

And solving for the radius we got:

$X = \sqrt{\frac{P}{\pi D}}$

And replacing the data given we got:

$X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km$

And this value converted to meters is $X = 87.40 m$

6 0

4 years ago

If an employer reduces the working week from 40 hours to 35 hours, with no

tangare [24]

Answer:

14.285714285714 %

Step-by-step explanation:

suppose the weekly payment is of x dollars

Then

Previous payment : $(x/40) per hour

New payment : $(x/35) per hour

Then

The percentage increase in the hourly rate of pay is :

$=\frac{\frac{x}{35} -\frac{x}{40} }{\frac{x}{40} } \times100$

$=\frac{\frac{5x}{1400} }{\frac{x}{40} } \times100$

$=\frac{5x}{1400} \times \frac{40}{x} \times100$

$=\frac{200}{1400} \times100$

$=\frac{1}{7} \times100$

$=14.285714285714$

6 0

2 years ago

T - 6 1/3 = - 9 3/4 solve this !

Radda [10]

Answer: T=-3 5/12

Step-by-step explanation: 6 1/3-6 /13

6 1/3-9 3/4= -3 5/12

T= -3 5/12

3 0

3 years ago

Read 2 more answers

put the fraction in least to greatest denomenator then put them in order please help me 1/2 3/4 1/5 7/10 please help me

DiKsa [7]

Working with fractions, you'll need to find the least common denominator (LCD). In this case, the LCD is 20.

Rewriting the four given numbers to the LCD, you would get:

10/20, 15/20, 4/20, and 14/20.

Now, you just organize it from least to greatest as:

4/20 < 10/20 < 14/20 < 15/20.

In other words, it is:

1/5 < 1/2 < 7/10 < 3/4.

3 0

3 years ago