Answer:
the answer is d. 4x²+x-6
Step-by-step explanation:
In order to combine the fractions, they need to have the same denominator.
So, multiply each of their numerators by the denominator they need to be equivalent.
This would look like this:
3x/x+3 --> 3x(x)/x(x+3) ---simplify this as--> 3x²/x(x+3)
x-2/x --> (x-2)(x+3)/x(x+3) ---simplify this as --> x²+x - 6/x(x+3)
3x 3x(x) x-2 (x-2)(x+3)
----- ---> ----- and -------- ---> ---------
x+3 x(x+3) x x(x+3)
now that both fractions have the same denominator, we can add their numerators.
3x² + x²+x-6 = 4x²+x -6
This should now look like this:
4x²+x -6
-------------
x(x+3)
When dividing with exponents that have the same base, keep the base and subtract the exponents
3 * (6^12 / 6^10) =
3 * 6^(12 - 10) =
3 * 6^2 =
3 * 36 =
108 <==
Answer
the V of cylinder is V=Pi r² H, si H = V/Pi x r², or r = d/2,
so H=4V/Pi x d²
The unsimplified ratio is 40:24 but simplified it is 5:3
Answer:
Ella’s procedure and conclusion are incorrect.
Step-by-step explanation:
The sum of the squares of the short sides can be compared to the square of the long side to see if the triangle is acute, right, or obtuse. The appropriate conclusions are ...
- a² +b² > c² -- acute triangle
- a² +b² = c² -- right triangle
- a² +b² < c² -- obtuse triangle
For Ella's side lengths, the appropriate "work" is ...
10² +11² ?? 15²
100 +121 < 225
The triangle is obtuse.
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Ella used an incorrect comparison and came to the wrong conclusion. Both her procedure and conclusion are incorrect.