Answer:
AB = 16 units
Step-by-step explanation:
Given the coordinate (-4, 9) and (-4, -7)
Using the formula for calculating the distance between two points
AB = √(x2-x1)²+(y2-y1)²
AB =√(-7-9)²+(-4+4)²
AB = √(-16)²+0²
AB = √16²
AB = 16 units
Hence the distance between Point A and Point B is 16 units
Answer:
g = 6
Step-by-step explanation:
<em>To find the slope you do:</em>
m = change in y ÷ change in x or (y2 - y1) ÷ (x2 - x1)
- x1 = 4, y1 = -7
- x2 = g, y2 = -3
- m (the slope) = 2
<em>Sub in the values:</em>
2 = (-3 - -7) ÷ (g - 4) - we can simplify this
2 = (4) ÷ (g - 4)
4 divided by what gives us 2? 2. This means that g - 4 = 2, g = 2 + 4 which is 6:
g = 6
Hope this helps!
Hi!
1/4 of 20 pencils are 5 pencils.
Since he gave away 4 pencils,
Total = 5 + 4 = 9
Mr. Simms use and give away total 9 pencils.
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°
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<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.)
Answer:
Its Break-even Point. The Inn Has 75 Rooms That Are Rented At $60 A Night. Operating Costs Are As Follows. Salaries Utilities Depreciation Maintenance Maid Service Other Costs $10,600 Per Month 2,400 Per Month 1,500 Per Month 800 Per Month 8 Per Room 34 Per Room Determine The Inn's Break-even Point In ..
Step-by-step explanation:
