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alex41 [277]
4 years ago
11

If 2a+ 2/a =4, what is the value of 2a^2− 2/a^2 ?

Mathematics
1 answer:
aliina [53]4 years ago
5 0

Answer:

0

Step-by-step explanation:

2a+ 2/a =4

Multiply each side by a to clear the fraction

a( 2a+ 2/a) =4*a

Distribute

2a^2 +2 = 4a

Subtract 4a from each side

2a^2 -4a +2 = 4a-4a

2a^2 -4a +2 =0

Divide by 2

2/2 a^2 -4a/2 +2/2 =0/2

a^2 -2a +1=0

Factor

(a-1) (a-1) =0

Using the zero product property

a=1

2a^2 -2/a^2

2(1)^2 -2/1^2

2-2

0

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Logan genetically engineered a new type of fir tree and a new type of pine tree. The combined height of one fir tree and one pin
shepuryov [24]

Answer:

The types of trees that Logan genetically engineered are fir trees <u>9 meters</u> tall and pine trees <u>12 meters</u> tall.

Step-by-step explanation:

Given:

The combined height of one fir tree and one pine tree is 21 meters.

The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

Now, to find the height of types of trees that Logan genetically engineered.

<em>Let the height of fir tree be </em>x.<em />

<em>And let the height of pine tree be </em>y.<em />

So, the combined height of both the trees:

x+y=21\\\\x=21-y\ \ \ .....(1)

As given, the height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

Thus,

4x=y+24

Now, substituting the value of x from equation (1):

4(21-y)=y+24

<em />84-4y=y+24<em />

<em>Subtracting both sides by 24 we get:</em>

<em />60-4y=y<em />

<em>Adding both sides by </em>4y<em> we get:</em>

<em />60=5y<em />

<em>Dividing both sides by 5 we get:</em>

12=y\\\\y=12\ meters.

<u>The height of pine trees = 12 meters.</u>

Now, substituting the value of y in equation to get the height of fir trees:

x=21-y\\\\x=21-12\\\\x=9\ meters.

<u>The height of fir trees = 9 meters.</u>

Therefore, the types of trees that Logan genetically engineered are fir trees 9 meters tall and pine trees 12 meters tall.

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3 years ago
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Answer:

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Four years ago, Hakim borrowed $275 to help pay for new tires for his car. He agreed to pay interest at a simple annual interest
Paha777 [63]

Answer:

B)$319

Step-by-step explanation:

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total interest over 4 years is 4 x 11 = 44  

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