Answer:
d(x) = √[(x - 2)² + (3x - 1)²]
Step-by-step explanation:
The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given as
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
So, the distance between point (2,0) and a point (x,y)
d = √[(x - 2)² + (y - 0)²]
d = √[(x - 2)² + (y)²]
But the point (x,y) is on the line y = 3x - 1
We can substitute for y in the distance between points equation.
d(x) = √[(x - 2)² + (3x - 1)²]
QED!
162
+207
= 369
Okay, so it says he descends 285 feet after he's climbed 369 feet. That means he needs to descend a bit more to reach 453 feet, which we'll just call 0 for now. First, we need to do some subtraction:
369
- 285
= 84
Okay, we know he needs to descend 84 feet to get to his starting point.
So your answer is C
Answer:
381.51 in^3
Step-by-step explanation:
Volume of a sphere = 4/3 x pi x r^3
r = 9/2 = 4.5
4/3 x 3.14 x 4.5^3 = 381.51 in^3
2 units left would make it be 0,3 and a rotation of 90 degrees counterclockwise about the origin would make it -3,0
Answer:
13.75
Step-by-step explanation:
First you know there are 5 students and 5 teachers, for each student it costs 6.25 and for every teacher it cost 1.50. So 5 teachers x 1.50= 7.5. 5 students x 1.25 =6.25. 7.5 +6.25= 13.75
