Answer:
1
Step-by-step explanation:
i (a + bi) = 1
ai + b(-1) = 1
ai − b = 1
Match the coefficients.
ai = 0
-b = 1
Therefore, a = 0 and b = -1.
So a − b = 0 − (-1) = 1.
Answer:
its A
Step-by-step explanation:
Its a because its A =)
The points of intersection for the two functions and round to the nearest tenth are (0.5, 1.4) and (4.85, -0.3)
<h3>System of equations</h3>
Given the following function
f(x) = - 0.5x + 2
g(x) = x^3 - 5x^2 + 3
The point of intersection is the point where f(x) = g(x)
x^3 - 5x^2 + 3 = - 0.5x + 2
x^3 - 5x^2 + 3 + 0.5x - 2 = 0
x^3 - 5x^2 + 0.5x + 1 = 0
Factorize and determine the value of x
x = 0.53 and 4.85
If x = 0.53
f(0.53) = -0.5(0.53) + 2
f(0.53) = -0.265 + 2
f(0.53) = 1.375
If x = 4.85
f(4.85) = -0.5(4.85) + 2
f(4.85) = -2.425 + 2
f(4.85) = -0.245
Hence the points of intersection for the two functions and round to the nearest tenth are (0.5, 1.4) and (4.85, -0.3)
Learn more on functions here: brainly.com/question/10439235
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Answer:
The height of the tower=2,702 feet
Step-by-step explanation:
The angle of elevation is the angle between the horizontal level ground and the hypotenuse. Since we have the horizontal distance, we can use this to estimate the vertical height from the base of the tower using the expression below;
Tan∅=h/b
where;
∅=the angle of elevation
h=vertical height of the tower
b=the distance from the base of the tower to the point on level ground
In our case;
∅=27.1°
h=unknown
b=5280 feet
replacing;
Tan 27.1=h/5280
h=5,280×Tan 27.1
h=2,701.91 feet
2,701.91 to the nearest foot=2,702 feet
The height of the tower=2,702 feet