The equation of the perpendicular line will be y = (4/3)x.
<h3>What is a linear equation?</h3>
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Then the equation of the perpendicular line will be given as
y = - (1 / m)x + c
The equation of line is y = -3/4 x + 1.
Then the equation of the perpendicular line will be
y = 4/3 x + c
The equation is passing through (9, 12), then we have
12 = 4/3 (9) + c
12 = 12 + c
c = 0
Then the equation of the perpendicular line will be y = (4/3)x.
More about the linear equation link is given below.
brainly.com/question/11897796
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Answer:
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Step-by-step explanation:
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De Moivre's Theorem states that if a complex number is written in the polar coordinate form [ r (cosθ +

sinθ)] and you raise it to the power n, then this can be evaluated by raising the modulus (r) to the power and multiply the argument (θ) by the power. This therefore would give r ⁿ [cos (nθ) +

sin (nθ)].
let A = ∛ <span>(8 cos (4π / 5) + 8 i sin (4π / 5))
</span>⇒ A = ∛ <span>(8 [cos (4π / 5) + i sin (4π / 5)])
</span>
Now by applying De Moivre's Theorem,
⇒ A =

[cos (

×

) +

sin (

×

)
⇒ A = 2 [ cos (

) +

sin (

)
⇒ A = 2 [0.0117 +

0.01297 ] rads
Answer:
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Step-by-step explanation: