Answer:
Denote:
A(-10, -10)
B(6, -2)
vector AB(6 - -10, -2 - -10) = (16, 8)
(3/5)vector AB = (16 x 3/5, 8 x 3/5) = (9.6, 4.8)
=> Point M that partitions the directed line segment AB into a ratio of 3 to 5:
M = A + (3/5)vector AB = (-10 + 9,6, -10 + 4.8) = (-0.4, -5.2)
Hope this helps!
:)
Answer:

Step-by-step explanation:
Given
Co ordinates of vertices(1,-6) and (-8,-6)
When two points is given then Length of two points is given by



Perimeter of rectangle is =26 units
Let the other side be x
thus

x+9=13
x=4 units
therefore to get the other two co ordinates
such that the length of that side is 4 units is


Horizontal distance will remain same only vertical distance will change in given co ordinates to obtain the remaining two co ordinates
To verify the above two distance between two points must be 13 units
We know that the diameter of the inner circle (d) and the side of a regular octagon (s) are tied by the formula:
d = (1 +√2) × s
The inverse formula is:
s = d / <span>(1 +√2)
Plugging in numbers:
s = 7 (1 + </span>√2)
= 2.9 ft
Therefore the correct answer is A) <span>2.9 feet</span>

The lifeguard of the beach resort is on his post which is 4 m high. A boy in the pool is 9 meters away from him. Find the angle of depression from the lifeguard to the boy.






Therefore the angle of depression from the lifeguard to the boy is 24°.