Answer and Step-by-step explanation:
7. 70 - 180 = 110
8. 39 - 180 = 141
9. 81 - 180 = 99
10. 81 - 180 = 99
11. 115 - 180 = 65
12. 41+36 = 77 - 180 = 103
x = answer
Answer:
0 = $0.00
1 = $3.00
2 = $6.00
3 = $9.00
Step-by-step explanation:
Step-by-step explanation:
b.3n/2 = 7/2
6n = 14
n = 2 1/3
c.-x/2 + 6 = -13/4
-x/2 = -37/4
-4x = -74
x = 18 1/2
d.3x/10 = 2/5
15x = 20
x = 1 1/3
e.x/10 = -20/3
3x = -200
x = -66 2/3
f.269x/56 = 10
269x = 560
x = 2 22/269
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where
m=slope of line
(x0,y0) is a point through which the line passes.
We know that the line passes through A(3,-6), B(1,2)
All options have a slope of -4, so that should not be a problem. In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.
So we can check which line passes through which point:
a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3) means that line passes through A(3,-6) => ok
b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
****** this equation is not the line passing through A & B *****
c. y=-4x+6 subtract 2 from both sides (to make the y-coordinate 2)
y-2 = -4x+4, rearrange
y-2 = -4(x-1)
which means that it passes through B(1,2), so ok
d. y-2=-4(x-1)
this is the same as the previous equation, so it passes through B(1,2),
this equation is ok.
Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
