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2 answers:
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Step-by-step explanation:
Hence, coordinates A(2, 1), B(7, 1), C(2, 4) form a triangle.
Answer:
Options (2) and (3)
Step-by-step explanation:
Let,
-8 + 8i√3 = a² + b²i² + 2abi
-8 + 8i√3 = a² - b² + 2abi
By comparing both the sides of the equation,
a² - b² = -8 -------(1)
2ab = 8√3
ab = 4√3 ----------(2)
a =
By substituting the value of a in equation (1),
48 - b⁴ = -8b²
b⁴ - 8b² - 48 = 0
b⁴ - 12b² + 4b² - 48 = 0
b²(b² - 12) + 4(b² - 12) = 0
(b² + 4)(b² - 12) = 0
b² + 4 = 0 ⇒ b = ±√-4
b = ± 2i
b² - 12 = 0 ⇒ b = ±2√3
Since, a =
For b = ±2i,
a =
=
=
But a is real therefore, a ≠ ±2i√3.
For b = ±2√3
a =
a = ±2
Therefore, (a + bi) = (2 + 2i√3) and (-2 - 2i√3)
Options (2) and (3) are the correct options.
<h2>Greetings</h2>
<h2>Hope this helps!</h2>
Answer:
Yes, they are.
Step-by-step explanation:
<h3>1st rate)</h3>Lets simplify both rates to the rate typer per minute.
(m is minutes)
3m = 96
Divide both sides by 3:
m = 32
So the rate is 32 words per minute.
<h3>2nd rate</h3>5m = 160
Divide both sides by 5:
m = 32
<h3>So because the rates per minute are the same, they are equivalent.</h3><h2>Hope this helps!</h2>