<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>
Answer: 30 ft
Step-by-step explanation:
Cross multiply:
6 : 3.5
x : 17.5
Then divide 105 with 3.5x.
105/3.5x = 30
Answer:
16 Tons
Step-by-step explanation:
divide 512,00 by 32000
Answer:
he went 13 units right instead of 12
Step-by-step explanation:
Using the substitution method to solve the linear system the value of x and y is 1 and 2 respectively.
<h3>What is the linear system?</h3>
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width.
Given
The equations are shown below.
y = 5 - 3x .....1
5x - 4y = -3 .....2
Substitute equation 1 in equation 2. Then
Then substitute the value of x in equation 1.
Thus, the value of x and y is 1 and 2 respectively.
More about the linear system link is given below.
brainly.com/question/20379472
