Answer:A point is named by its ordered pair of the form of (x, y). The first number corresponds to the x-coordinate and the second to the y-coordinate. To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair.
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<span>The answer is 20 feet by 20 feet. Let's solve the equation: (x – 8)^2 = 144. (x - 8)^2 = 12^2. Since a^2 = b^2 is the same as a = b, then (x - 8)^2 = 12^2 can be simplified to: x - 8 = 12. Now, solve for x. x = 8 + 12. x = 20. Therefore, the dimensions of the original lawn were 20 feet by 20 feet.</span>
Answer:
36% loss
Step-by-step explanation:
To calculate percentage loss
× 100%
loss = £50 - £32 = £18, then
percentage loss = 
× 100% = 18 × 2 % = 36%
We are asked to transform the given equation into slope intercept form. The given expression is 2-3y+6x=0. To do this, we need to remember the slope-intercept form is below:
y = mx + b where "m" represents the slope and "b" represents the y-intercept
The solution of the problem is shown below:
2 - 3y + 6x = 0 ,transpose -3y to the opposite side such as:
2 + 6x = 3y , re-arranging the given we have:
3y = 6x + 2 , divide both sides by 3 such as:
3y/3 = (6x +2) / 3
y = 2x + 2/3 where m = 2 and b = 2/3
The answer is y = 2x + 2/3.
Answer:
0.333
Step-by-step explanation:
The first sequence starts at 1 and has a common difference of 2. It will include every odd number in the range.
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The second sequence starts at 1 and has a common difference of 3. It will include odd numbers and the even numbers 4, 10, 16, .... That is, all even numbers of the form 6n -2 will be included. The last one corresponds to the largest value of n such that ...
6n -2 ≤ 1000
6n ≤ 1002
n ≤ 167
That is, 167 even numbers will also be excluded.
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The third sequence starts at 1 and has a common difference of 4. Every number in this sequence is also a number in the first sequence.
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So the numbers in these sequences include all 500 odd numbers and 167 even numbers, for a total of 667 numbers. The probability that a randomly chosen number is not in one of these sequences is ...
(1000 -667)/(1000) = 333/1000 = 0.333 . . . . p(not a sequence term)
