<u>Answer</u>
6
<u>Explanation</u>
let n be the first even number in the sequence.
The 2nd term = n + 2
3rd term = n + 2 + 2
= n + 4
4th term = n + 4 + 2
= n + 6
The sum of these number = 36.
∴ n + (n +2) + (n + 4) + (n + 6) = 36
4n + 12 = 36
4n = 36 - 12
4n = 24
n = 24/4
= 6
The first term is 6.
27.) Because the area is 60, we know that the two side lengths, x and x + 4 will multiply to equal that.
In other words,
x(x+4) = 60
Distribute the x
x^2 + 4x = 60
Complete the square:
1.) Take the middle term, 4, divide it by 2, then square it. You get 4 again.
2.) Add 4 on both sides of the equation:
x^2 + 4x + 4 = 64
3.) Factor the left side, you'll find that it is a perfect trinomial.
(x + 2)(x + 2)= 64
4.) Simplify (x + 2)^2 = 64
5.) Square root both sides:
(x + 2) = +/- 8
Because side lengths cannot be negative, it must be positive 8.
6.) x + 2 = 8
7.) Subtract 2 on both sides, you'll see that x = 6 :)
Answer:
1) 
2) 49.225
3) 
Step-by-step explanation:
1) To find the expected value of the dice we can use the following equation:
So in our problem the values x will be: 1/1, 1/2, 1/3, 1/4, 1/5 and 1/6 and the probavility for all values is 1/6 so the expected values will be:
2) To find the variance of the expected values we can use the equation:
So for our problem will be:
3) To find the expected value of the dice we can use the following equation:
So in our problem the values x will be: 1, 2, 3, 4, 5 and 6 and the probavility for all values is 1/6 so the expected values will be:
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The correct answers are :
y=-1/2x+5 is parallel.
-2x+y=-4 is perpendicular.
-x+2y=2 is neither.
x+2y=2 is parallel.
<h3>What are parallel lines and perpendicular lines ?</h3>
It is argued that two non-vertical lines in the same plane that have the same slope are parallel.
In terms of geometry, parallel lines are two separate lines that never cross each other and are located in the same plane. They may be vertical or horizontal. Examples of parallel lines can be found all around us on railroad tracks, in lines of notebooks, and at zebra crossings in daily life. It is impossible for two parallel lines to cross. Perpendicular lines are those that cross at a right angle when two non-vertical lines in the same plane.
Perpendicular lines are two different lines that cross at a right angle of 90 degrees.
To know more about lines and angles you may visit:
brainly.com/question/6636431
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