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3 years ago

Solve the equation by completing the square m^2+6m-77=-5

1 answer:

6 0

Maybe you thought about this:
m^2+6m-77+5=0 => m^2+6m-72=0 => m^2+ 2*3*m+3^2-3^2-72=0
=> m^2+2*3*x+3^2= (m+3)^2 this is the complete square of the binomial, we will still keep it =>
(m+3)^2 -9 -72=0 => (m+3)^2 - 81 = 0 => (m+3)^2 - 9^2 = 0
Now we got the difference squares, it mean a^2 - b^2 = (a-b) (a+b)
In according to this => (m+3-9) (m+3+9) = 0 =>
(m-6) (m+12)=0 => m-6=0 or m+12=0 => m1=6 or m2= -12 !!!!
Are you satisfied with this solution?

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There are approximately 113 million TVs in the United States. Each uses, on average, 76 W of power and is turned on for 6.3 hour

ioda

Answer:

$76 W *\frac{1kW}{1000 W}= 0.076 kW$

$0.076 kW * 6.3 \frac{hours}{day}= 0.4788 \frac{kWh}{day}$

$113x10^6 people * \frac{0.4788 kWh}{people}= 54104400 kWh$

And finally we can convert this into money like this:

$54104400 kWh *\frac{0.089 dollars}{1 kWh}= 4815291.6$

So they spent every day approximately in total $ 4815291.6 dollars

Step-by-step explanation:

For this case we can convert the average power into Kw like this:

$76 W *\frac{1kW}{1000 W}= 0.076 kW$

Now on average we know that one person use on average this power over 6.3 hours per day so then we have the following consumption rate:

$0.076 kW * 6.3 \frac{hours}{day}= 0.4788 \frac{kWh}{day}$

And now we know the total population so then the total consumption per day would be:

$113x10^6 people * \frac{0.4788 kWh}{people}= 54104400 kWh$

And finally we can convert this into money like this:

$54104400 kWh *\frac{0.089 dollars}{1 kWh}= 4815291.6$

So they spent every day approximately in total $ 4815291.6 dollars

6 0

3 years ago

Read 2 more answers

The length of a rectangle is 4 units more than its width. The area of the rectangle is 25 more than 4 times the width.

never [62]

Answer:

B or D ( answer = 5 => Two options is one! One of the options should be 5)

Note: The width of a rectangle will never be negative.

6 0

3 years ago

Read 2 more answers

Find the quotient and simplify

soldi70 [24.7K]

Answer:

$\large\boxed{\dfrac{n^2}{4}}$

Step-by-step explanation:

$\dfrac{n^2+2n}{4}\div\dfrac{n+2}{n}=\dfrac{n(n+2)}{4}\cdot\dfrac{n}{n+2}\\\\\text{cancel}\ (n+2)\\\\=\dfrac{n}{4}\cdot\dfrac{n}{1}=\dfrac{n^2}{4}$

4 0

3 years ago

Help with this math question

Art [367]

Answer: option J: 128 joules

Explanation:

1) From the table you try to find which relation best fits the data.

2) Your best first assumption is that the data may fit a proportional relation.

3) To prove that you find the ratio of Energy ouput to Amount of chemicals.

Doing that you find:
20 32 48 60
----- = ------- = ------ = ------ = 4
5 8 12 15

4) Then you have found a direct relation whose ratio is 4 joules / mol. So, you can apply that constant to the number of moles given:

Energy = 4 joules / mol × 32 mol = 128 joules

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3 years ago

A train is traveling at a constant speed and goes 17 kilometers in 8 minutes. How far will the train travel in 60 minutes.

allsm [11]

Answer:

Distance B = 1275 kilometers.

Step-by-step explanation:

Let the two distances and time be A and B respectively.

Given the following data;

Distance A = 17 kilometers.

Time A = 8 minutes.

Distance B =?

Time B = 60 minutes.

First of all, we would find the constant speed;

Speed = distance/time

Substituting into the equation, we have;

Speed = 17/8

Speed = 2.125 km/m

Now, to find the distance B;

Distance B = speed * time

Distance B = 2.125 * 60

<em>Distance B = 1275 km</em>

3 0

3 years ago