Answer:
DF = 14
Step-by-step explanation:
Andrew was wrong in the assumption that DE = EF
Segments of tangents to a circle from the same external point are congruent
That is
EF = FG = 8
Then
DF = DE + EF = 6 + 8 = 14
First, we need to make the equation given to be in the form;
y=mx + b
where m is the slope and b is the intercept
8y - 3x = -8
Add 2x to both-side of the equation
8y = 3x - 8
Divide through the equation by 8
y = 3/8 x -1
comparing the above with y =mx + b
m = 3/8
slope of parallel equations are equal
From the options given the only equation with slope 3/8 is;
y= 3/8 x + 8

The above equation of the line is parallel to 8y - 3x = -8
A. 12 centimetres.
Hope this helps!
Answer: 4x=3y, 8x=6y
Step-by-step explanation: We can use a simplified form of an equation for this specific problem, since a solution is (3,4), if you plugin 3 for x and 4 for y you get the same thing. Since 4 times 3 equals 3 times 4 you can call x as 4 and y as 3. You can simply multiply this by 2 for another equation since it doesn't affect the ratio. I hope this helps!
Answer: 27 and 18
Step-by-step explanation:
x - y = 9 → x = 9 + y
3y = 2x
3y = 2(9 + y)
3y = 18 + 2y
3y - 2y = 18
y = 18
2x = 3(18)
2x = 54
x = 27
x - y = 9
27 - 18 = 9
9 = 9