Answer:
<u>x²/11 + 8</u>
Step-by-step explanation:
We can decipher this algebraic expression going step by step.
1) "Eight more", meaning +8 (we can add this on later).
2) The "quotient of a number (x) squared and eleven", a quotient by definition means the answer to a quantity divided by another. The quantity in this case being x² divided by 11 (so, x²/11).
3) We can combine both of these, getting x²/11 + 8.
Your expression is x²/11 + 8.
- Similarly, you could reposition this equation like 8 + x²/11 (due to the communicative property of addition). Both answers would be acceptable.
Answer:
x = 121
Step-by-step explanation:
Let the measure of the altitude of the given triangle be h units.
By geometric mean theorem:
Answer:
x = 35
Step-by-step explanation:
Solve for x:
5 (x + 20) = 7 x + 30
Expand out terms of the left hand side:
5 x + 100 = 7 x + 30
Subtract 7 x from both sides:
(5 x - 7 x) + 100 = (7 x - 7 x) + 30
5 x - 7 x = -2 x:
-2 x + 100 = (7 x - 7 x) + 30
7 x - 7 x = 0:
100 - 2 x = 30
Subtract 100 from both sides:
(100 - 100) - 2 x = 30 - 100
100 - 100 = 0:
-2 x = 30 - 100
30 - 100 = -70:
-2 x = -70
Divide both sides of -2 x = -70 by -2:
(-2 x)/(-2) = (-70)/(-2)
(-2)/(-2) = 1:
x = (-70)/(-2)
The gcd of -70 and -2 is -2, so (-70)/(-2) = (-2×35)/(-2×1) = (-2)/(-2)×35 = 35:
Answer: x = 35
Answer:c
Step-by-step explanation:
