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Mamont248 [21]
3 years ago
8

Select the correct product (x2+4) (x2-4) x4 16 x4+16 x2+8x+16 x2 8x 16

Mathematics
1 answer:
natka813 [3]3 years ago
8 0
The answer would be x^4 -16
Explanation: use the FOIL method.
(x^2 +4)(x^2 -4)= x^4 +4x -4x -16. 4x and -4x cancel each other out. You are left with x^4 -16.
F- irst
O- uter
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The sum of the digits of a 2-digit number is 10. If 18 is added to the number, the digits of the new number are those of the ori
Aliun [14]

Answer:

46

Step-by-step explanation:

Let (ab) represent a number with a in the ten's position and b is the one's position.

This means (ab) actually has value of 10a+b.

We are given the sum of those digits of (ab) is 10; this means a+b=10.

It says if 18 is added to the number (ab), then the result is (ba).

So (ab) has value 10a+b and

(ba) has value 10b+a.

We are given then:

(ab)+18=(ba)

10a+b+18=10b+a

Subtract 10a on both sides:

b+18=10b+a-10a

Simplify:

b+18=10b-9a

Subtract b on both sides:

18=10b-b-9a

18=9b-9a

Divide both sides by 9:

2=b-a

Rearrange by commutative property:

2=-a+b

So the system of equations we want to solve is:

a+b=10

-a+b=2

-------------------------Add equations together (this will eliminate the variable a and allow you to go ahead and solve for b:

0+2b=12

2b=12

Divide both sides by 2:

b=\frac{12}{2}

Simplify:

b=6

If b=6 and a+b=10, then a=4.  a=4 since 4+6=10.

So the original number is (46).

18 more than 46 is 18+46=(64) which is what we wanted.

We also have the sum of 4 and 6 is 10 as well.

7 0
3 years ago
c. Write an expression to represent the length of a string in yards in terms of the string's length, x, in inches
jeka57 [31]

Answer:

Answer:

y = \frac{x}{36}y=

36

x

Step-by-step explanation:

Given

Length of string = x inches

Required

Determine the length in yards

Represent the equivalent length with y

Such that

y = x\ inchesy=x inches

Divide x by 36 to get equivalent in yards

y = \frac{1}{36} * xy=

36

1

∗x

y = \frac{x}{36}y=

36

x

Hence, the equivalent in yards is \frac{x}{36}

36

x

8 0
3 years ago
Complete the proof. <br> Given
Sonja [21]

Answer:

2. it's a rectangle so Each pair of co-interior angles are supplementary, because two right angles add to a straight angle, so the opposite sides of a rectangle are parallel. This means that a rectangle is a parallelogram, so: Its opposite sides are equal and parallel. Its diagonals bisect each other.

3. same size same shape

Step-by-step explanation:

4 0
2 years ago
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krok68 [10]
Hi!
I think that you misspelled the question, and you mean that Oliver bought "ten", not "yen" stamps- yen is the currency of Japan.

So we have 10 stamps of 77 cents each:

10*77=770 cents

He has to pay 770 cents, or since 100 cents are one dollar, 7 dollars and 70 cents.
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Nezavi [6.7K]

Answer:

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Step-by-step explanation:

I just took the test and it's correct, I am sorry if it's not correct but I'm 99.9% sure it is accurate

5 0
2 years ago
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