1/2x + 1 = 2/3x
1/2x - 2/3x = -1
-x/6 = -1
x = 6
Hope this helps!
Answer:
1) -5 and +5; 2) -9 and +9
Step-by-step explanation:
1) a² + 2ab + b² = 25
(a + b)² = 25 Wrote the left-hand side as a square
a + b = ±5 Took the square root of each side
All values of a + b are -5 and +5.
2) a² − 8ab + 16b² = 81
(a - 4b)² = 81 Wrote the left-hand side as a square
a - 4b = ±9 Took the square root of each side
All values of a - 4b are -9 and +9.
Answer:
The greatest common factor of the monomials a2b5 and a3b3 is a2b3 .
Answer: t = 6 s
Step-by-step explanation:
When Rose hit the water, the height of the jump is 0, so: h(t) = 0.
Resolving it, we have:
-16t² + 16t + 480 = 0
To simplify the second degree equation, divided it by 16:
-t² + t + 30 = 0
Now, solve the equation using Bhaskara:
Δ = 1² - 4. (-1) . 30
Δ = 1 + 120
Δ = 121
t = 
t₁ =
= - 5
t₂ =
= 6
Since time can be negative, it took t = 6s for Rose to hit the water.
Answer:
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