Answer:
Step-by-step explanation:
The diagonal of any square with side length 
is equal to 
. Since the side length of the square is 10, the diagonal must be 
.
To support and prove this:
The diagonal creates two 45-45-90 triangles, with the diagonal being the hypotenuse of both of these triangles. The Pythagorean Theorem states that in any triangle, the sum of the squares of both legs is equal to the square of the hypotenuse (
).
Call the diagonal 
. In these two triangles, both legs are equal to 10 (the side lengths of the square), and the hypotenuse is the diagonal. Thus, we have:
2x^2 is not a like term in the given expression (since the given like terms contain only 1 power of x)
Answer:
11/15
Step-by-step explanation:
To find probability, you divide whatever you're looking for over your total. In this case, you have 11 marbles that are not red, and 15 marbles total, so your answer would be 11/15.
To write 4.1363636 as a fraction you have to write 4.1363636 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
4.1363636 = 4.1363636/1 = 41.363636/10 = 413.63636/100 = 4136.3636/1000 = 41363.636/10000 = 413636.36/100000 = 4136363.6/1000000 = 41363636/10000000
And finally we have:
4.1363636 as a fraction equals 41363636/10000000
Answer:
Step-by-step explanation:
Expand:
Add 33 to both sides:
Add 9x to both sides:
Flip the signs (and the symbol)
Divide both sides by 9:
