Brian understands this situation better than does Matt.
If two lines have the same slope, these lines could be either coincidential (one lying on top of the other) or parallel and never intersecting.
Answer:
2 1/4
Step-by-step explanation:
=−514+712
Rewriting our equation with parts separated
=−5−14+7+12
Solving the whole number parts
−5+7=2
Solving the fraction parts
−14+12=?
Find the LCD of 1/4 and 1/2 and rewrite to solve with the equivalent fractions.
LCD = 4
−14+24=14
Combining the whole and fraction parts
2+14=214
Answer:
1.09
Step-by-step explanation:
<u>Order of operations</u>
<u>(</u>7 + 5) = 12
19 *4 = 76
<u>Simplify</u>
12 + 76 = 88
96/88
<u>Solve</u>
96/88 = 1.09
Answer:
45$
Step-by-step explanation:
Answer:
The trigonometric form of the complex number is 12(cos 120° + i sin 120°)
Step-by-step explanation:
* Lets revise the complex number in Cartesian form and polar form
- The complex number in the Cartesian form is a + bi
-The complex number in the polar form is r(cosФ + i sinФ)
* Lets revise how we can find one from the other
- r² = a² + b²
- tanФ = b/a
* Now lets solve the problem
∵ z = -6 + i 6√3
∴ a = -6 and b = 6√3
∵ r² = a² + b²
∴ r² = (-6)² + (6√3)² = 36 + 108 = 144
∴ r = √144 = 12
∵ tan Ф° = b/a
∴ tan Ф = 6√3/-6 = -√3
∵ The x-coordinate of the point is negative
∵ The y-coordinate of the point is positive
∴ The point lies on the 2nd quadrant
* The measure of the angle in the 2nd quadrant is 180 - α, where
α is an acute angle
∵ tan α = √3
∴ α = tan^-1 √3 = 60°
∴ Ф = 180° - 60° = 120°
∴ z = 12(cos 120° + i sin 120°)
* The trigonometric form of the complex number is
12(cos 120° + i sin 120°)