Answer:
Step-by-step explanation:
a)
- 6ˣ = 1/216
- 6ˣ = 1/6³
- 6ˣ = 6⁻³
- x = -3
b)
- 5⁻³ × 2⁻¹ =
- 1/5³ × 1/2 =
- 1/(125×2) =
- 1/250 or 0.004
Three to the power of negative four is 81
The exact values of the trigonometric identities cos, csc and tan as required in the task content are; -√41/5, -√41/4 and 4/5 respectively.
<h3>What are the exact values of cos, csc and tan as required in the task content?</h3>
It follows from above that the terminal side of the angle theta as described is on the point with coordinates (-5, -4).
Hence, the points spans 5 units leftwards and r units downwards on x and y axis respectively.
Hence, the length of the line that describes the angle by Pythagoras theorem is;
h = √((-4)² + (-5)²)
h = √41.
Hence, it follows from trigonometric identities that;
Cos (theta) = -5/√41.
Csc (theta) = -√41/4
Tan (theta) = 4/5
Read more on trigonometric identities;
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Answer:
Option B, Yes, the remainder is 0, so x-5 is a factor of P(x)
Step-by-step explanation:
<u>Step 1: Factor</u>
p(x) = x^3 - 5x^2 - x + 5
<em>p(x) = (x - 5)(x + 1)(x - 1)</em>
<em />
<em>Yes, the remainder is 0 so, x-5 is a factor of p(x)</em>
<em />
Answer: Option B, Yes, the remainder is 0, so x-5 is a factor of P(x)
X=-12,0
Y=-0,12 hope this helps:/
