- Distance Formula:

- Product rule of radicals: √ab = √a x √b
Using our two points, we can solve for the distance as such:

Now our exact answer may be √116, however using the product rule of radicals we can further simplify the radical as such:
√116 = √4 x √29 = 2√29.
- Exact Answer: <u>√116 or 2√29</u>
- Approximate Answer: <u>10.77</u>
Answer:
55
Step-by-step explanation:
Right on edge
Answer:
x = 49.45839812°
Step-by-step explanation:
Formula:

Replace with given values, so

Put in calculator, remember it is is DEGREES not RADIANS
Answer:

Answer:
A. (2,10)
Step-by-step explanation:
5x + y = 20
y = 5x
The second equation is already solved for y, so substitute 5x for y in the first equation to find x.
5x + 5x = 20
10x = 20
x = 2
Now substitute 2 for x in the second original equation to find y.
y = 5(2)
y = 10
Answer: (2, 10) which is A.
The ratio the point P partition the directed line segment from M to N is 9:2
<u>Step-by-step explanation:</u>
Let the total distance between M and N be 'd'
Point P distance from M = (9/11) d
Point P distance from N = (1 - 9/11) d
= (2/11) d
The ratio of the distance = (9/11) d / (2/11) d
= 9/2
= 9:2
The ratio the point P partition the directed line segment from M to N is 9:2