Answer:
What's the question? equals?
Step-by-step explanation:
8qх + 21ру + брx + 28qy
8qх + 28qy + брx + 21ру rearranged the terms to help factoring
4q(2x + 7y) + 3p(2x + 7y)
(2x + 7y)(4q + 3p) or (4q + 3p)(2x + 7y)
Answer:
x = 8
Step-by-step explanation:
Since you know that the line is 180 degrees in total, and there is a right angle, then you know . . .
180 = 90 + 40 + 6x + 2
Subtract 90 + 40 + 2 on both sides
48 = 6x
Divide by 6 on both sides.
x = 8
You have your answer.
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For more questions or information, comment below.
Y=x+138. Since $138 is added, that will be the equation (expression) x= the amount she had before and y=her current amount after the deposit.
<span>25
The number of balls to make an equilateral triangle with the sides of length n is expressed by the formula n(n+1)/2
So to express the number of balls you have is
b = n(n+1)/2 + 4
With the larger arrangement you have
b = (n+1)(n+2)/2 - 3
Both of those qualities are equal to each other, so set an equation where they're equal. Then solve for n
n(n+1)/2 + 4 = (n+1)(n+2)/2 - 3
Distribute the n term on the left
(n^2 + n)/2 + 4 = (n+1)(n+2)/2 - 3
Distribute the /2 on the left.
0.5n^2 + 0.5n + 4 = (n+1)(n+2)/2 - 3
Multiply (n+1)(n+2) on right, then distribute the /2
0.5n^2 + 0.5n + 4 = 0.5n^2 + 1.5n + 1 - 3
Subtract 0.5n^2 + 0.5n from both sides
4 = n + 1 - 3
Add 2 to each side
6 = n
So the original triangle had sides with a length of 6, for a total number of balls of
6(6+1)/2 = 21
with 4 extra giving 25 balls. Let's check with the next larger triangle
7(7+1)/2 = 28
with 3 balls shortage. Which 25 balls would make happen.
So the number of balls in the set is 25</span>
Answer:
Not always we can use a calculator to determine if a number is rational or irrational.
Step-by-step explanation:
Consider the provided information.
Can you ever use a calculator to determine if a number is rational or irrational.
Irrational
number: A
number is irrational if it cannot
be
expressed by dividing two
integers. The decimal expansion of
Irrational numbers are neither terminate nor
periodic.
The calculators gives the approximate answer, whether the number is irrational or rational.
- If it shows the terminating decimal then number is rational but otherwise, it is not possible to identify whether the number is rational or irrational as you can only see a few digits.
- Calculator shows the terminating decimal while the decimal expansion of an irrational number is not terminating.
So, it would be difficult to identify whether a large number produced by the calculator is irrational or not. As we know that many rational numbers can be incredibly large.
So, we can say that not always we can use calculator to determine if a number is rational or irrational.
Thus, Not always we can use a calculator to determine if a number is rational or irrational.