<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>
*eq1 by 2 and eq2 by -3
4x+6y=12
-15x-6y=-12
-11x=0
x=0
so
3y=6
y=2
so option 3 is correct
11y=22
Answer:
$6,283.56
Step-by-step explanation:
The net present value is the present value of after tax cash flows from an investment to the amount invested in a project.
Net present value can be calculated using a financial calculator
Cash flow in year zero = -$290,000
Cash flow each year from year one to three = 0
Cash flow each year from year four to twelve = $64,000.
I = 9%
NPV = $6,283.56
To find the NPV using a financial calacutor:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. After inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.
3. Press compute
I hope my answer helps you
Answer:
the equation of the line is y=1/2x-1
so all you have to do is graph that equation
Step-by-step explanation:
