Once the numbers<span> have the same base and exponents, we can </span>add<span> or </span>subtract their<span> coefficients. </span><span> Determine the </span>number<span> by which to increase the smaller exponent by so it is equal to the bigger exponent.
I hope this helps!
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Answer: 10380cm^3
Explanation:
Find the volume of half cylinder:
V = (pi x r^2 x h)/2 (I use pi = 22/7 for simplifying)
V = 22/7 x 6^2/2 x 35
V = 22/7 x 36/2 x 35
V = 22/7 x 35 x 18
V = 22 x 5 x 18
V = 1980cm^3
Find the volume of the rectangle:
V = 20 x 35 x 12
V = 240 x 5 x 7
V = 1200 x 7
V = 8400cm^3
Find the volume of the whole shape:
V = 1980 + 8400
V = 10380cm^3
Answer:
Yes the graphs of the lines are in pair parallel.
Step-by-step explanation:
They are in pair parallel because they do not touch each other. To find the slope of the line that is parallel to 5x+2y=6...
The first thing to do is subtract 5x since its a positive so it would look like this:
5x+2y=6
<u> -5x =-5x</u>
Next you would divide by 2 on each side so the y can be isolated:
5x+2y=6
<u>-5x =-5x</u>
<u>2y</u> = <u>-5x + 6</u>
2 2
Lastly the 2 divided by 2 gets crossed out because they cancel each other out and divide -5x by 2 and 6 by 2 then you would be stuck with this:
y= -2.5x+3
So your parallel slope would be -2.5x.
We are given a right triangle that has angles of 45°-45°-90°. This would
indicate that the triangle is an isosceles type. We can use some
trigonemetric functions to solve for the other legs. We do as follows:
sin 45 = p / 10
p = 5√2
cos 45 = q /10
q = 5√2
<span>Hope this answers the question. Have a nice day.</span>
Answer:
Step-by-step explanation:
Starting at 5 on the number line, 5 + (-3) is 3 units to the left of 5; that is, you are at 2 on the number line.