Answer
The answer and procedures of the exercise are attached in the following archives.
Step-by-step explanation:
You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.
Answer: 
Step-by-step explanation:
Given the following expression:

You need to substitute the given values of "a" and "b" into the expression. Notice that these values are:

Then;

Now you must solve the multiplications:

The final step is to add the numbers. Therefore, you get the following answer:

Answer:
The height of the cylinder
Step-by-step explanation:
The perpendicular distance between two bases of a cylinder is not going to be the radius or diameter of the bases (because it is BETWEEN the bases, not ON them) and it is not the area of the bases because the area of a shape cannot be a distance.
So, the only option left is the height of the cylinder, which is the correct answer.
(a) there are 8C2 = 28 ways of picking 2 girls from 8
And there are 21C4 = 5985 ways of picking 4 boys
Required number of ways for 2g / 4b = 28 * 5985 = 167,580
(b) at least 2 girls means combinations of 2g/4b , 3g,3b , 4g/2b , 5g 1b or
6 girls.
2g/4b = 167,580 ways
3g/3b = 8C3 * 21C3 = 56 * 1330 = 74,480
4g/2b = 8C4* 21C2 = 70 * 210 = 14,700
5g 1b = 8C5* 21 = 56*21 = 1176
6 girls = 8C6 = 28
adding these up we get the answer to (b) which is 257,964
Answer:
y = ½x + 4
Step-by-step explanation:
4 = ½[0] + b
0
4 = b
Parallel lines have SIMILAR <em>RATE</em><em> </em><em>OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], so the 4 remains in the <em>m</em><em> </em>spot, plug in the ordered pair into the equation, then solve for <em>b</em><em>.</em><em> </em>This is your new equation once done:
y = ½x + 4
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**I have a video that explains how to find perpendicular and parallel lines of given lines. It is titled "Finding Slopes, y-intercepts, Perpendicular Equations, and Parallel Equations". Watch and gain alot more knowledge, so you can be one of the best of the best.