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.
1/1/2 is the answer ............
Answer:
1 is the answer because 4^10=1048576 and you have that on the top and the bottom of the problem then 7^0=1 so therefore 1048576/1048576=1
Step-by-step explanation:
Let us find the area of the triangle first.
6 x 8 / 2 = 24 ft²
Now we can do the semi circle. Note that it is a semi circle and not a circle.
1/2π(4²) = 8π = 25.12 ft²
Add the areas up to find the area for the figure.
24+25.12 = 49.12 ft²
Answer:
The LCM, or least common multiple, of 6 and 8 is 24.
