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White raven [17]

3 years ago

9

The difference of the squares of two positive consecutive even integers is 44 find the integers use the fact that if X represent

s an even integer then X +2 represents the next consecutive even integers

1 answer:

TiliK225 [7]3 years ago

3 0

Answer:

The 2 integers are 10 and 12

Step-by-step explanation:

Translate it into english

"The difference (some subtraction) of the squares of two positive consecutive integers ( $x^2$ and $(x+2)^2$ ) is (=) 44 (44)"

this means the following:

$(x+2)^2-x^2=44$

solve for x to find the smaller integer

first, expand

$(x^2+4x+4)-x^2=44$

$x^2+4x+4-x^2=44$

$4x+4=44$

$4x=40$

$x=10\rightarrow x+2=10+2=12$

The 2 integers are 10 and 12

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if you travel to Jupiter, your weight would be 236.4% of your earth weight.How much would neil armstrong's space suit weigh on J

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So,

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3 years ago

What does no gains or no losses on first down meaning

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3 years ago

The general term for the sequence 2, 4, 8, 16, 32, . . . is

Nuetrik [128]

We are given

sequence is 2 , 4 , 8 ,16 , 32 , .....

Firstly , we will check whether it is geometric sequence

Checking geometric sequence:

We will find common ratio between successive terms

and then we check whether they are equal

r1=(second term)/(first term)

$r_1=\frac{4}{2}=2$

r2=(third term)/(second term)

$r_2=\frac{8}{4}=2$

r3=(fourth term)/(third term)

$r_3=\frac{16}{8}=2$

r4=(fifth term)/(fourth term)

$r_4=\frac{32}{16}=2$

we can see that all four ratios are same

$r_1=r_2=r_3=r_4=2$

so, this is geometric sequence

Calculation of general term:

We got

common ratio is

$r=2$

Let's assume

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$a_1=2$

now, we can use formula

$a_n=a_1 (r)^{n-1}$

we can plug values

and we get

$a_n=2(2)^{n-1}$

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5 0

3 years ago

Four times the larger of two consecutive even integers is ten less than the smaller. What is the larger of these two numbers?

anygoal [31]

Answer:

-4 is the larger integer

Step-by-step explanation:

n = smaller integer

n + 2 = larger integer

4(n+2) = n-10

4n + 8 = n - 10

3n + 8 = -10

3n = -18

n = -6

n+2 = -4

7 0

3 years ago