9514 1404 393
Answer:
2√30 ∠-120°
Step-by-step explanation:
The modulus is ...
√((-√30)² +(-3√10)²) = √(30 +90) = √120 = 2√30
The argument is ...
arctan(-3√10/-√30) = arctan(√3) = -120° . . . . a 3rd-quadrant angle
The polar form of the number can be written as ...
(2√30)∠-120°
_____
<em>Additional comments</em>
Any of a number of other formats can be used, including ...
(2√30)cis(-120°)
(2√30; -120°)
(2√30; -2π/3)
2√30·e^(i4π/3)
Of course, the angle -120° (-2π/3 radians) is the same as 240° (4π/3 radians).
__
At least one app I use differentiates between (x, y) and (r; θ) by the use of a semicolon to separate the modulus and argument of polar form coordinates. I find that useful, as a pair of numbers (10.95, 4.19) by itself does not convey the fact that it represents polar coordinates. As you may have guessed, my personal preference is for the notation 10.95∠4.19. (The lack of a ° symbol indicates the angle is in radians.)
1/2 of $8.50 is $4.25
1/4 of $4.20 is $1.05
$5.30 w/o taxes
$5.74 is your answer
((x+2)(x+2))-((x-5)(1))=A
x^2+4x+4-x+5=A
x^2+3x+9=A
Every line on the graph is 1/2 unit.
When y = 0, x would be -0.25 and 1.25
When y = 2, x would be -0.5 and 1.5
Answer:
2p+17
Step-by-step explanation:
twice p = p x 2 or 2p
so, 17 more than 2p (meaning 2p is increased by 17) is equal to 2p+17