Answer:No
Step-by-step explanation:
Pi is irrational
Answer:
2x + y = 4
Step-by-step explanation:
2x + y = 9 => y = -2x + 9
Parallel lines have the same slope so m = -2
Given (-1,6)
y = mx + b
6 = -2(-1) + b
6 = 2 + b
b = 4
so y = -2x + 4 or 2x + y = 4
Answer: True becuase 5+8 equals 13 and 6+7 also equal 13 so that means that they are equal to each other.
Step-by-step explanation:
Surface area is just the area of all these 4 triangles plus the rectangle.
First we can find the area of the rectangle.

Half of the length is 28 cm, so the full length must be 28 * 2 = 56 cm.


The base for the left and right triangles are 27. The heights would be the net length minus half the length of the rectangle:

Calculate the area:



We have two of these triangles.

Now do the other two pair of triangles. The bases for them are 28 + 28 = 56 cm. The heights would be the net width minus the width of the rectangle:

Now find the area:



We have two of these triangles.

Add all the areas together:
Answer:
11 music lessons.
Step-by-step explanation:
We know that membership costs $165 and members pay $25 per music lesson.
So, we can write the following expression:

The 165 represents the one-time membership fee and the 25m represents the cost for m music lessons.
We know that non-members pay no membership fee but their cost per lesson is $40. So:

Represents the cost for non-members for m music lessons.
We want to find how many music lessons would have to be taken for the cost to be the same for both members and non-members. So, we can set the expressions equal to each other:

And solve for m. Let's subtract 25m from both sides:

Now, divide both sides by 15:

So, at the 11th music lesson, members and non-members will pay the same.
Further Notes:
This means that if a person would only like to take 10 or less lessons, the non-membership is best because there is no initial fee.
However, if a person would like to take 12 or more lessons, than the membership is best because the membership has a lower cost per lesson than the non-membership.
And we're done!