If you take 31*5 that equals = 155 ways! <span />
Answer:
30?
Step-by-step explanation:
divide 20 by 8 and then times the answer by 12
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.
Remark
The short answer is you multiply 0.6 times the cm/s to get m/min.
Solve
Though you didn't ask for it, here's the way it is done. Notice that each set of brackets cancels the units of a set of brackets to the left of the set of brackets you are observing. This is called unit analysis. The answer is given below.
![\frac{18 cm}{sec} *[\frac{60 cm}{1 min}] * [\frac{1 m}{100 cm}] = 18*0.6\frac{m}{min}=10.8\frac{m}{min}](https://tex.z-dn.net/?f=%20%5Cfrac%7B18%20cm%7D%7Bsec%7D%20%2A%5B%5Cfrac%7B60%20cm%7D%7B1%20min%7D%5D%20%2A%20%5B%5Cfrac%7B1%20m%7D%7B100%20cm%7D%5D%20%3D%2018%2A0.6%5Cfrac%7Bm%7D%7Bmin%7D%3D10.8%5Cfrac%7Bm%7D%7Bmin%7D)
X + y = 90
Let's make 'x' the bigger angle and 'y' the smaller.
X is 24 more than twice y.
x = 24 + 2y
Now plug that into the x of the first equation.
(24 + 2y) + y = 90
Combine like terms.
24 + 3y = 90
Subtract 24 from both sides.
3y = 66
Divide both sides by 3.
y = 22
The measure of the smaller angle is 22°
