<span>Given the diagram, where AB and EF are horizontal lines and CB is a vertical line segment.
Given that FB : FC = 4 : 3,
From the diagram, the coordinate of A is (-10, -8) and the coordinate of C is (-3. -1).
We can also see that the coordinate of B is (-3, -8) (since CB is a vertical line means that B is the same x-value as C and AB is a horizontal line means that B is the same y-value as A)
Recall that the coordinate of a point dividing a line segment in the ratio m:n is given by (x1 + m/(m+n) (x2 - x1), y1 + m/(m+n) (y2 - y1))
Thus, since FB : FC = 4 : 3, this means that point F divides the line segment BC in the ratio 4 : 3.
Thus, the coordinate of F is given by (-3 + 4/(4+3) (-3 - (-3)), -8 + 4/(4+3) (-1 - (-8))) = (-3 + 4/7 (0), -8 + 4/7 (7)) = (-3, -4).
Also, given that FB : FC = 4 : 3, this means that point D divides the line segment AC in the ratio 4 : 3.
Thus, the coordinate of D is given by (-10 + 4/(4+3) (-3 - (-10)), -8 + 4/(4+3) (-1 - (-8))) = (-10 + 4/7 (7), -8 + 4/7 (7)) = (-6, -4).
Therefore, the coordinates of point D is (-6, -4).</span>
You would owe the rental shop 54 dollars
13.00 x 5.00 = 18.00
since it is per hour you multiply 18.00 x 3
3 stands for the hours you kayaked
and that gives you 54
therefore your answer is 54<span />
Answer:
D. y=5x+2
Step-by-step explanation:
The y int. is 2, and the slope is 5/1. If you plug that into a calculator, you can see the slope being steep.
Answer:
32.5 km
Step-by-step explanation:
6.5 / 2 = 3.25
3.25 x 10 = 32.5 km
Hope that helps!
Answer:
V ≈ 3367.6 cm³
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = 
πr³ ( r is the radius )
Here D = 18.6 , then r = 18.6 ÷ 2 = 9.3 , so
V = × 3.14 × 9.3³
= × 3.14 × 804.357
= 
≈ 3367.6 cm³ ( to the nearest tenth )
