- 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>
Distance from the boat to the town:
d² = 2.2² + 16.8²
d² = 4.84 + 282.24
d² = 287.08
d = √287.08
d = 16.9434 ≈ 16.9 km
Answer:
x=2, y=2
Step-by-step explanation:
3x + y = 8
2x + 4y = 12
Multiply the first equation by -4
-12x -4y = -32
Then add to the second equation
-12x -4y = -32
2x + 4y = 12
------------------------
-10x + 0y = -20
-10x = -20
Divide by -10
-10x/-10 = -20/-10
x =2
Now find y
3x+y = 8
3(2)+y = 8
6+y = 8
y = 8-6
y =2
Answer:
B. No the ordered pair does not satisfy the equation
Step-by-step explanation:
y = -9x - 2
Substitute the point in and see if it is true
-37 = -9(4) -2
-37 = -36 -2
-37 = -38
This is not true so the point is not a solution
