One way is to factor 150 and add the factors
150+1=151, nope
2+75=77, nope
3+50=53, nope
5+30=35, nope
6+25=31, yep
the numbers are 6 and 25
3 [ (20-4) / 2 ]= 3 * 16/2= 3 x 8 =24
5,(9)=5 9/9= 54/9=6
6/8/4= 6/2=3
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
2x+y = -5. Solve this for y. We get y = -2x - 5. Find y^2: 4x^2 + 20x + 25. Substitute 4x^2 + 20x + 25 for y^2 in the first equation:
x^2 + 4x^2 + 20x + 25 = 25
Then 5x^2 + 20x = 0, so that x = 0. Subst. 0 for x in the 2nd eqn and find the value of y. Write your solutions as shown above: ( , ) and ( , ).
The answer is D because the range is all the y-values.