Answer:
Ax + Ay + 2A = 0 for any nonzero A, for example (A=1): x + y + 2 = 0
Step-by-step explanation:
The equation of a line is
Ax + By + C = 0
so we know that:
A*-3 + B*1 + C = 0
A*5 + B*-7 + C = 0
Let's subtract one from the other:
A*(-3 - 5) + B*(1 + -7) = 0
A*-8 + B*8 = 0
B*8 = A*8
B = A
Let's input B = A into the first two equations
A*-3 + A*1 + C = A*-2 + C = 0
A*5 + A*-7 + C = A*-2 + C = 0
checks out
C = 2A
So for any nonzero A the equation of
Ax + Ay + 2A = 0 produces a line passing between the points. Example would be
x + y + 2 = 0
Answer:
3
Step-by-step explanation:
if you draw a line y=2 will touch the graph in 3 points
4x+12=20
-12 -12
——————
4x=8
divide by 4 on both sides
x=2
Answer:
400%
Step-by-step explanation:
We can write a percent proportion:
600/x = 150/100
a:b = c:d
a and d are linked and b and c are linked. So if a is missing, you would do (b*c)/d to get a, if b was missing, you would do (a*d)/c to get b, etc.
So over here we do
(600*100)/150 = 60,000/150 = 400, so x = 400, so that means it's 400% of 150
We can also use benchmark fractions which I find much easier:
100% of 150 is 150.
So 200% of 150 is 300
So 300% of 150 is 450
And 400% of 140 is 600
Every time it increases by 100%, it also increases by 150 on the other side, which makes sense
Let me know if you have any questions.
Answer:
8 inch
Step-by-step explanation:
dilation actor = 4/5
Scale dilation is used to change the dimensions of the line segment or anuy measurement in length.
So, 10 inch segment =
inch
thus, the 10 inch segment is equal to 8 inch on the scale.