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2 years ago

20 POINTS!! PLEASE HELP DUE NOWWW!

Mathematics

1 answer:

Anika [276]2 years ago

8 0

Answer:

-4x - 30 = -26 Inverse property of addition

Step-by-step explanation:

To move the variable to the left you would subtract the 2x from both sides and you'll be left with -4x - 30 = -26. Adding the negative of a number from the same number (ex. 30 + (-30)) is called inverse property of addition. which we did here but with 2x.

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Sandy plays tennis once every 6 six days. Jim plays once every 8 eight days. If

expeople1 [14]

Answer:

they will play together again in 28 days

Step-by-step explanation:

4 0

3 years ago

If the legs of a right triangle are x, (2x - 1) and its hypotenuse is (2x + 1), what is the value of x?

Ber [7]

Answer:

x=8

Step-by-step explanation:

(2x + 1)² = x² + (2x - 1)² = x² + (2x - 1)(2x - 1)

(2x + 1)(2x + 1) = x² + 4x²-2x-2x+1

4x²+2x+2x+1 = 5x²-4x+1

4x²+4x+1 = 5x²-4x+1

0= 5x²-4x²-4x-4x+1-1

0= x²-8x

x²-8x=0

x²=8x

x=8

3 0

3 years ago

Can someone check this for me thanks.

kirill115 [55]

You are right all the way

8 0

3 years ago

Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.

-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

$3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)$

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

$4^n+17$ is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so $4^k+17$ is divisible by 3

and we check what happens for k+1

$4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17$

$3\cdot 4^k$ is divisible by 3 and

$4^k+17$ is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that $4^n+17$ is divisible by 3 for all positive integers n.

Thanks

4 0

4 years ago

What is this for 2nd grade math. 247+?=673

icang [17]

Answer:

426

Step-by-step explanation:

Subtract 247 from 673 to get 426

7 0

3 years ago