The correct answer would be 6.
To figure this out, you take the square root of 36 since area of a square is side x side.
Assume a is not divisible by 10. (otherwise the problem is trivial).
<span>Define R(m) to be the remainder of a^m when divided by 10. </span>
<span>R can take on one of 9 possible values, namely, 1,2,...,9. </span>
<span>Now, consider R(1),R(2),......R(10). At least 2 of them must have the sames value (by the Pigeonhole Principle), say R(i) = R(j) ( j>i ) </span>
<span>Then, a^j - a^i is divisible by 10.</span>
0.45M+40
The M stands for the amount of minutes he went over.
If the triangles are similar, the proportion of the legs on the left to the legs on the right will be equal. This proportion would look like:
(You needed to combine the orange segment and the yellow segment to find the total length of the large triangle).
Now, cross multiply and solve for x:
28x+14=30x
<em>*Subtract 28x from both sides to isolate the variable*</em>
14=2x
<em>*Divide both sides by 2*</em>
7=x
Hope this helps!!
The slope is the number next to the variable and the y intercept is the number after the slope.
#1. Slope= -3
Y-intercept=-3
#2. Slope=5/2
Y-intercept=-4
#3. Slope=1/3
Y-intercept=3
#4. Slope=-2
Y-intercept=2
#5. Slope=-2/5
Y-intercept=-2
#6. Slope=-2/3
Y-intercept=-2
