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.
Do you talk romanian. and i think that it is g.
Answer:
1. $85
2. $90.10
3.$108.12
4.$54.06
Step-by-step explanation:
100-15=85 (15% of 100 is 15)
6 percent of 85 is 5.10. So 85 + 5.10=90.10
20 percent of 90.10 is 18.02. So add that to the total. 90.10+18.02=108.12
Now divide by 2 to get how much they each will pay 108.12/2 = 54.06
Answer:
28.3 (explaination below)! :)
Step-by-step explanation:
Use the formula for cicrumfrence: C=2πr
Radius can be found by splitting the given number in half, (unless you were given the radius already, then you'd just multiply by 2).
Plug in our numbers. C= 2π4.5
Then, multiply.
You'd get 28.27433388230814.
Rounding to the first decimal place, you'd have a final answer of 28.3.
Hope this helps!
