Answer:
The diagonal is irrational because it is a product of a rational and an irrational number
Step-by-step explanation:
The options are not given. However, the question is still answerable.
Given
Shape: Square
Length: Rational
Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.
Having said that:
The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.
Take positive square root of both sides
Split:
Recall that the side length (l) is rational.
However, 
is irrational.
So, the product of l and will be irrational
Hence:
The diagonal is irrational
No, Perry is not using the correct ratio, because 15:17 is not equivalent to 5:7
15 divided by 3 is indeed 5 but divided 17 by 3 does not give you 7, nor a whole number.
I hope this helps.
600 *2*x + 150*4*x = 90
1200x + 600x = 90
1800x = 90
x = 90/1800 = 0.05
x = 5%
Answer: rate of interest = 5%
Answer:
Step-by-step explanation:
5/6
Answer:
- Answer 2) 3a(16a^2-25)
- Answer 4) 3a(4a+5)(4a-5)
- Answer 5) -3a(25-16a^2)
- Answer 6) -3a(5-4a)(5+4a)
Step-by-step explanation:
The factors of each term are ...
So, the greatest common factor is 3a. Factoring that out gives ...
3a(16a^2 -25) . . . . . . matches answer 2
The factor in parentheses is the difference of squares, so it can be factored. You have memorized the form for the difference of squares ...
p^2 -q^2 = (p -q)(p +q)
so you know the factoring of this with p=4a and q=5 will be ...
3a(4a -5)(4a +5) . . . . . . matches answer 4
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Any <em>pair</em> of factors can be multiplied by -1 without changing the value of the expression. So, two more answers are equivalent:
(-3a)(-(16a^2 -25) = -3a(25 -16a^2) . . . . . . matches answer 5
(-3a)(-(4a -5)(4a +5) = -3a(5 -4a)(5 +4a) . . . . . . matches answer 6
