Answer:
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0
Step-by-step explanation:
The formula for slope is
m = (y2-y1)/ (x2-x1)
We have points
(-7,2) (-7,-7)
m = (-7-2) /(-7--7)
= -9/(-7+7)
= -9/0
This is undefined
We have points
(-8,-3) (6,-3)
m = (-3--3) /(6--8)
= (-3+3/(6+8)
= 0/14
0
Number of 1/2-inch cubes length-wise = 8 1/2 ÷ 1/2 = 17
Number of 1/2-inch cubes width-wise = 5 1/2 ÷ 1/2 = 11
Number of 1/2-inch cubes height-wise = 2 1/2 ÷ 1/2 = 5
Number of 1/2-inch cubes = 17 x 11 x 5 = 935
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Answer: 935 1/2-inch cubes are needed.
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Answer: 1/12 of the cake.
Step-by-step explanation:
First, find the LCM (Least Common Multiple) of 3 and 4. The easiest way to do this is to multiply the two together. 3*4 = 12.
Now, convert each fraction to be out of twelfths. Do this by setting up a proportion. 2/3 = x/12. Cross multiply and divide. 2*12 = 24. 24/3 = 8. Therefore, 2/3 = 8/12.
Do the same for 1/4. 1/4 = x/12. Cross multiply and divide. 12*1 = 12. 12/4 = 3. Therefore, 1/4 = 3/12.
Now add these two fractions by adding the numerators and keeping the denominators the same. 8/12 + 3/12 = 11/12.
Subtract this answer from 1 (12/12). 12/12 - 11/12 = 1/12
sin 8 x = 2 sin 4x cos 4x =
= 2 * 2 sin 2x cos 2x cos 4 x =
= 4 * 2 sin x cos x cos 2x cos 4x =
= 8 sin x cos x cos 2x cos 4x ( correct )
