All categories

3 years ago

Why is 2 the only number that is always 4 when added multiplied or squared

Mathematics

1 answer:

Alika [10]3 years ago

7 0

Answer:

There are infinite numbers that added or multiplied will give the same answer. But, if the require this two numbers to be the same, then we need to solve the following equation to see what we found out:

x + y = x * y

Given that we want the numbers to be equal, then y=x.

x + x = x * x

2x = x^2

x^2 - 2x = 0

x(x-2) = 0

We find that NOT only x=2 meets this requirement but also x=0.

Therefore, there is another number that when added, multiplied or squared gives the same result. The other number is zero!

We can prove it:

0 × 0 = 0

0 + 0 = 0

You might be interested in

I need help because I'm solving these questions by the manual, and yet it still says that I am wrong after multiple attempts.

Alexxandr [17]

Answer:

1. QR = HI

2. angle W and angle T

3. WB = UV

Step-by-step explanation:

It could me fill in the part of the proof, since I notice on all of them they only mark one or two of the congruencies on the shapes. I'm not really sure of 3's answer.

Hope this helped somewhat and good luck

6 0

2 years ago

The right rectangular pyramid shown below has a square base. What shape is the cross section?

goblinko [34]

The cross section is a trapezoid.

8 0

3 years ago

The Martins’ van can hold up to 8 passengers. Debbie writes the inequality p < 8, where p is the number of passengers that ca

Salsk061 [2.6K]

Answer:

Debbie should have included 8 as a possible choice. The correct inequality is p < 9.

Step-by-step explanation:

Given

Passengers = Up to 8

Required

Determine why $p < 8$ is incorrect and make corrections

The inequality $p < 8$ means that the van can hold less than 8 passengers.

To make correction, the digit 8 has to be included in the inequality.

This can be written as:

$p$ or $p \le 8$

<em>Base on the given options, option (c) best answered the question.</em>

4 0

2 years ago

(2³)² solve this problem

max2010maxim [7]

Answer:

$(2^3)^2 = 64$

Step-by-step explanation:

Option 1:

Using the following rule:

$(a^n)^m = a^{nm}$

Put in our expression,

a = 2

n = 3

m = 2

$(a^n)^m = a^{nm}$

$(2^3)^2 = 2^{3*2}=2^6=64$

Option 2:

Using the following rule:

$a^n * a^m = a^{n+m}$

Since our expression is the same as multiplying 2³ with itself, we can write it as a multiplication.

$(2^3)^2 = 2^3 * 2^3$

If we compare this with $a^n * a^m$ , we can see that

a = 2

n = 3

m = 3 (in this case, n and m are equal)

$a^n*a^m = a^{n+m}$

$2^3*2^3 = 2^{3+3} = 2^6 = 64$

Answer: $(2^3)^2 = 64$

7 0

3 years ago

Which balloons traveled 11,595 feet farther than Martin? Draw a strip diagram and write a number sentence to solve the problem.

coldgirl [10]

From the table we notice that:

$41507-29912=11595$

This means that Diana traveled 11595 ft more than martin; this also means that Jake and Abby traveled more than that amount farther than Martin's balloon (since their distances are greater that Diana's distance)

Therefore, Abby's Jake's and Diana's balloons traveled 11595 ft farther than Martin's balloons.

6 0

11 months ago