Find the approximate solution(s) to each of the following equations graphically. Use technology to support your
1 answer:
Answer: x" = 5.69
Step-by-step explanation:
The graphic solution is attached.
Verifying the solution:
Existence condition: x > 0
2x - 4 = √x + 5
√x =2x - 4 - 5
√x =2x - 9 (²)
x = (2x - 9)²
x = 4x² - 36x + 81
4x² - 36x - x + 81 = 0
4x² - 37x + 81 = 0
Δ = -37² - 4.4.81 = 1369 - 1296 = 73
x = 37 ±√73/8
x' = 3.55
x" = 5.69
checking:
2*3.55 - 4 = 3.1
√3.55 + 5 = 6.88 Its not the same ∴ 3.55 is not a solution
2*5.69 - 4 = 7.39
√5.69 + 5 = 7.39 ∴ it's the only solution
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Step-by-step explanation:
Below is an attachment containing the solution.
Answer:
450 m²
Step-by-step explanation:
Area of a circle:
r is radius and we need to divide the diameter value by 2 to obtain the radius
= 24 / 2 = 12m
Area of a circle =
= 452.57
≈ 450 m²
Refer to the diagram shown below.
Bruce's relative speed is 5 mph at 25° east of north.
The current flows at 3.5 mph at 60° west of south.
Add Bruce's velocity and the current velocity vectorially to obtain Bruce's actual velocity vector, V (shown in red color).
Bruce's relative speed is 5 mph at 25° east of north.
The current flows at 3.5 mph at 60° west of south.
Add Bruce's velocity and the current velocity vectorially to obtain Bruce's actual velocity vector, V (shown in red color).