if a+b+c=0, prove that a^2 - b^2 - c^2 = 2bc

Answer:

10 Weeks

Step-by-step explanation:

If he makes $300 every week minus $40 for his expenses and needs $1200. 300-40=260.....  260x10=1200 So he would have to work 10 weeks at a minimum.

The number of weeks at minimum does he have to work for in order to reach his goal is 10 weeks.

The unitary method is used to find the value of a single unit from a given multiple.

For example, the price of 40 pens is Rs. 400

It should be noted that the concept of ratio and proportion is used for problems related to this method.

According to questions,

He makes $300 per week

and spends $40 each week on his expenses.

Therefore his total savings per week = $300 -  $40

                                                              =  $260.

Also he wants to save a total of at least $2,600.

Thus number of weeks at minimum does he have to work for in order to reach his goal = $2600 ÷ $260

                       = 10 weeks.

Hence the required number of weeks = 10 weeks.

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Answer:

1. 3^4 x 3^3 < 3^12

2. 3^3 x 4^3 < 12^4

3. 3^4 x 4^3 > 12^3

Answer: 30

Step-by-step explanation:

40 + 8x = 280

-40 -40

8x = 240

___ ____

8 8

X = 30

Answer:

(5,11)

(0,1)

(-2,-3)

Step-by-step explanation:

y=2(5)+1

y=10+1

y=11

so... (5,11)

y=2(0)+1

y=0+1

y=1

so... (0,1)

y=2(-2)+1

y=-4+1

y=-3

so... (-2,-3)

Answer:

g=2-X/-3

Step-by-step explanation:

X=3g+2

To make g the subject, make it stand alone

While transferring 3g to the other side of the equation, the sign changes i.e + changes to -

The equation will then be written as: -3g = -X + 2 or -3g = 2 - x

Divide both sides by -3

g= (2-x)/-3

Hello! :p

    2. Simply again [tex]\sqrt{5} \\\sqrt{2}[/tex]

    3. rationalize the denominator so 5/2 times 2/2  [tex]\sqrt{5} \sqrt{2} \\ ---\\2[/tex]

    4. Simply  [tex]\sqrt{5} \sqrt{2}[/tex] to [tex]\sqrt{10}[/tex]

      answer: [tex]\sqrt{\frac{10}{2} }[/tex]

Hope this helps! Have a wonderful day1 :)

Sorry, I had a hard time finding all the symbols, so I had to get creative!

Divide distance by time:

3.2 meters / 5 minutes = 0.64

The descent was -0.64 meters per minute

Answer:

.64

Step-by-step explanation:

Whenever you see x per y that means that you're looking at a ratio, which can be expressed as a fraction.

It would look like 3.2/5

The rate of descent may not be consistent, but on average it's reflected by the ratio and so you can just cut 3.2 meters into five equal parts to see, on average, how far the diver descended every minute.

Answer:

7.8 or 8

Step-by-step explanation: To get the hypotenuse of a right triangle we must square each part.

5^2 is 25 and 6^2 is 36

Now you add the two squared parts, which equals 61. 61 squared isn't a perfectly squared. This means the answer is 7.8 or rounded to the nearest tenth the answer will be 8.

Answer:

65

Step-by-step explanation:

it is the largest cup so it is 65

Answer:

$36 in change

Step-by-step explanation:

book cost total: 64

100-64=36

If you aren't sure how to read the chart, each "X" represents one book and the numbers below represent the price.

Answer:

u-3>-6

Step-by-step explanation:

Just ask.

Hope this helps.

Answer:

x² + 8x + 7

Step-by-step explanation:

    (x + 7) (x + 1)

=  x(x + 1) + 7(x + 1)        Distributive

=  (x · x) + ( x ·1 ) + (7· x) + (7 · 1)

=  x² + x +  7x + 7         Multiply

=  x² + 8x + 7                Add like terms

Answer:

My earlier answer was deleted, so I'm reposting.  The only thing I can think happened is that I included a link to a free bar chart program, which I used for the attached chart.

Step-by-step explanation:

Make your own chart or find an online bar chart utility.  I was unable to properly label the title and axes on my chart, so modify these properties.

Answer:

Need more information

If you want put a graph or explain more your question

Answer:

23

Step-by-step explanation:

this is because

the equation is saying -9time something = -207

so

you would -207 divided by -9

which gives you 23

so

z=23

Answer:

Yes

Step-by-step explanation:

A cycle is marked at ₹4500 and sold for rupees ₹4185.

Now, To find discount

4500 × 7 ÷ 100 = ₹315

Now,

4500 - 315 = ₹4185

Thus, The answer is Yes Agreed!

-TheUnknownScientist 72

Answer:

69 degrees

Step-by-step explanation:

yeah

Answer:

327.25

Step-by-step explanation:

550*0.7=385

385*0.85=327.25

!!! MUST REMEMBER!!!

dont add 30% and 15% together, 15% is another discount on the price that has been marked down.

The final price of a sofa will be $302.5.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

The original price of a sofa = $550

During sale at a furniture store, sofas marked down = 30%

Coupon for an additional 15% off.

Now,

Total percent for profit on a sofa = 30% + 15%

                                                  = 45%

Hence, The cost of a sofa after discount will be calculate as;

The cost of discount at a sofa = 45% of 550

                                              = 45/100 x 550

                                              = 24,750 / 100

                                              = 247.5

So, The final cost of a sofa = $550 - $247.5

                                         = $302.5

Therefore, The final price of a sofa will be $302.5.

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Answer:

285°

Step-by-step explanation:

You have probably learned bearing in geography and maybe even mathematics.

First off, skip the Y part since the answer you're looking for have nothing to do with it.

So, 180°+105°=285°

Those red-colored angles.. they have the same angle.

That's cause they're alternate angles and alternate angle are equal.

That arrow-like thing is to proove that they're parallel.

Answer: Fiona can buy six pairs.

15/2.5 = 6

Answer:

Fiona can buy 6 pairs

Step-by-step explanation:

2.50x 6

Answer:

A = 192

Step-by-step explanation:

r = 16/2 = 8

A = 3x(8)^2

8^2 = 64

A = 3 x 64 = 192

Radius is half the diameter.

The diameter is shown as 16, so the radius would be 16/2 = 8 in.

Area = 3 x 8^2

Area = 3 x 64

Area = 192 square inches

Answer:

Yes because the slopes are negative reciprocals of each other.

Step-by-step explanation:

The slope of line B is: 1/3

(-2, -4) and (1, -3)

(-3+4)/(1+2) = 1/3

The slope of line A is: 3

(-3, 0) and (-2, -3)

(-3-0)/(-2+3) = -3

Answer:A

Step-by-step explanation:because the numbers can be allowed to be repeated

Answer:

750

Step-by-step explanation:

Answer:

itsb a

Step-by-step explanation:

sorry

Answer:

the answer is b -12 is closer to being a positive number making it worth more than -17. so you're answer would be -12>-17

Answer:

8m

Step-by-step explanation:

Answer:

You got this just keep trying

Step-by-step explanation:

Answer:

It might be 80

Step-by-step explanation:

first you put 64% and $80 as a fraction. 64%/$80. Then next to the fraction, you put x/100. Then you cross multiply. 64 times 100 is 6400. 6400 divided by 80 is 80. Therefore, the answer is 80. Hope this helps!

Hello there!

7 is greater than -7, because positive numbers are always greater than negative ones.

a>-a

The > sign means "greater than"

Hope it helps.

~A lonely teen who helps others with a smile

-Grace :-)

Good luck.

Answer:

because you have to multiply the 100x12= 1200 than multiply that by another 1200

Step-by-step explanation: