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Crazy boy [7]
3 years ago
7

If 2x^2 -2y^2 = 72 and if x+y=18 what does x-y equal

Mathematics
2 answers:
Tju [1.3M]3 years ago
7 0
First factor out the 2:

x^2 - y^2 = 36

x^2 - y^2 can be factored into (x+y)(y-y) so:

(x + y)(x - y) = 36

plug in your value:

18 (x-y) = 36 and you should be able to take it from there
Shalnov [3]3 years ago
6 0
2x^2-2y^2=72
divide both sides by 2
x^2-y^2=36
factor difference of 2 perfect squares
(x-y)(x+y)=36
given that x+y=18, subsitute 18 for x+y
(x-y)(18)=36
divide both sides by 18
x-y=2
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H(n) = 3^n+3; Find h (3n)
olya-2409 [2.1K]

Answer:

The option which you chose is absolutely right.

Step-by-step explanation:

h(n) = 3^ n + 3

h(3n) = 3 ^3n + 3

Hope it will help :)

5 0
3 years ago
Help me out please:)
stich3 [128]

Answer:

the answer is

(8.5,13.5)

5 0
3 years ago
In the arithmetic sequence {13, 6,-1,-8,...}, what is the common difference?
guapka [62]
<h3>Answer:  -7</h3>

Explanation:

Pick any term. Subtract off the previous one to find the common difference.

  • term2 - term1 = 6-13 = -7
  • term3 - term2 = -1-6 = -7
  • term4 - term3 = -8-(-1) = -8+1 = -7

And so on. You only need to pick one of those to show as your steps to your teacher. However, doing all three subtractions is a good way to get practice in seeing how we have an arithmetic sequence. The common difference must be the same each time.

We subtract 7 from each term to get the next term, i.e. we add -7 to each term to get the next one.

6 0
2 years ago
The video club to which Lin belongs allows her to receive one free DVD for every three DVDS she rents. If she pays $3 for each D
Nesterboy [21]

Answer:

12

Step-by-step explanation:

Given:

On every 3 DVDs she rents, 1 DVD is received for free

Rent of each DVD = $3

Total amount paid = $114

Now,

The total number of DVDs she took on rent = \frac{\textup{Total amount paid}}{\textup{Rent of each DVD}}

or

The total number of DVDs she took on rent = \frac{\textup{114}}{\textup{3}}

or

The total number of DVDs she took on rent = 38

also,

For every 3 DVDs she gets 1 Free DVD

thus,

For every 1 DVD she gets \frac{\textup{1}}{\textup{3}} free DVD

therefore,

For  38 DVD she gets \frac{\textup{38}}{\textup{3}} free DVD

or

she gets 12.67 DVDs free

Since,

the DVDs cannot be given in fraction

Hence she will get 12 free DVDs

5 0
3 years ago
the total cost after tax to repair Kimber’s cracked phone is represented by 00.4(30h)+30h Where h represents the number of hours
Serjik [45]

we have that

the total cost is

0.040(30h)+30h

In this equation  the term 30h represent the cost due to h hours at at unit of 30

and the term 0.040(30h) is equal to calculate the 4% of (30h)

so

in this problem the tax rate is equal to 4%

therefore

<u>the answer is</u>

The term 0.040(30h) represents the amount of tax she must pay

7 0
3 years ago
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