Your brother tells you a secret. You see no harm in telling two friends. After this second "passing" of the secret, 4 people now know the secret (your brother, you and two friends). If
each of these friends now tells two new people, after the third "passing of the secret, eight
people will know. Write an equation to express the "passing" of the secret. If this pattern of
spreading the secret continues, how many people will know the secret after 10 such
"passings"?

After n passing, the total number of people knowing the secret .

After 10 passing, 1024 peoples know the secret.

Step-by-step explanation:

Given that each friend can pass the secret to 2 people.

On 1st pass:

Total number of people knowing the secret = 1+1=2

On 2nd pass:

Total number of people knowing the secret = 1+1+1x2=4

On 3rd pass:

Total number of people knowing the secret = 1+1+2+2x2=8

This can be written as

Or, , where .

So, for the pass:

Total number of people knowing the secret = .

As is the sum of geometric progression of n terms having the first term, , and the common radio .

So,

.

Hence, after n passing, the total number of people knowing the secret

After, 10 passing, put n=10.

Total number pf peoples know the secret

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc