Answer:What was done from the first to the second equation was that the fraction was simplified. 126 and 32 have a common factors of 2.
126/32=(63*2)/(16*2)
The 2s in the top and bottom can cancel out, leaving the fraction 63/16.
In addition, since there are x terms on the top and bottom, they cancelled out as well.
x/x^3=1/x^2
This leaves an x^2 term on the bottom.
Thus, if a is 16, and b is 2, you will have an equivalent form of the fraction.
Step-by-step explanation:
Since this is a right triangle, we can you the pythagorean theorem.
a^2 + b^2 = c^2
In this case,
a = 6
b = ?
c = 10
We need to substitute our values into the pythagorean theorem.
(6)^2 + b^2 = (10)^2. Reduce everything to its simplest form.
36 + b^2 = 100. Subtract 36 from both sides.
b^2 = 64. Take the square root of each side.
b = 8.
Answer:
0.375 is 1/8 of 3. 3 groups of 1/8 is 3/8. 0 3's are in 1/8.
Step-by-step explanation:
Yes, the two ratios are proportional to each other. The multiplier from the first ratio to the second ratio is 3. For example, 4.2 x 3 = 12.6 and 1.5 x 3 = 4.5. Basically, to figure out if two ratios are proportional to each other, just divide the smaller number into the bigger number for both corresponding numbers. If they're the same ---> Proportional. If they're not the same ---> Not Proportional
