Answer: 3
Step-by-step explanation:
Let the number be 'a'.
Since the difference between 13 and a number is 4 more than twice the number, then 13 - a = 2a + 4
⇒ 13 - a = 2a + 4
2a + a = 13 - 4
3 a = 9
a = 3
<h3>∴ the number is 3</h3>
First off, let's take a peek at y-8=3(x-10), which is already in point-slope form
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![\bf y-8=\stackrel{slope}{3}(x-10)](https://tex.z-dn.net/?f=%5Cbf%20y-8%3D%5Cstackrel%7Bslope%7D%7B3%7D%28x-10%29)
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so, it has a slope of 3, so a line perpendicular to that one, will have a negative reciprocal slope to that,
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![\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{3}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Bperpendicular%20lines%20have%20%5Cunderline%7Bnegative%20reciprocal%7D%20slopes%7D%7D%0A%7B%5Cstackrel%7Bslope%7D%7B3%5Cimplies%20%5Ccfrac%7B3%7D%7B1%7D%7D%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cstackrel%7Breciprocal%7D%7B%5Ccfrac%7B1%7D%7B3%7D%7D%5Cqquad%20%5Cstackrel%7Bnegative~reciprocal%7D%7B-%5Ccfrac%7B1%7D%7B3%7D%7D%7D)
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so we're really looking for the equation of a line whose slope is -1/3 and runs through -2,7.
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![\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{7})\qquad \qquad \qquad slope = m\implies -\cfrac{1}{3} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-7=-\cfrac{1}{3}[x-(-2)] \\\\\\ y-7=-\cfrac{1}{3}(x+2)](https://tex.z-dn.net/?f=%5Cbf%20%28%5Cstackrel%7Bx_1%7D%7B-2%7D~%2C~%5Cstackrel%7By_1%7D%7B7%7D%29%5Cqquad%20%5Cqquad%20%5Cqquad%20%0Aslope%20%3D%20%20m%5Cimplies%20-%5Ccfrac%7B1%7D%7B3%7D%0A%5C%5C%5C%5C%5C%5C%0A%25%20point-slope%20intercept%0A%5Cstackrel%7B%5Ctextit%7Bpoint-slope%20form%7D%7D%7By-%20y_1%3D%20m%28x-%20x_1%29%7D%5Cimplies%20y-7%3D-%5Ccfrac%7B1%7D%7B3%7D%5Bx-%28-2%29%5D%0A%5C%5C%5C%5C%5C%5C%0Ay-7%3D-%5Ccfrac%7B1%7D%7B3%7D%28x%2B2%29)
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Answer:
An article explaining your ideas on how to best rescue endangered loggerhead turtle eggs
Step-by-step explanation:
In the problem and solution organization pattern, it is all about the ability to determine the problems affecting the organisation as well as proffer solutions on how to solve those problems. This would then lead to minimizing cost and maximizing profits. <em>The example above which is about ideas on how to rescue endangered loggerhead turtle eggs is following same pattern.</em>
(x-5)(x+3)(x-(-1+2i))(x-(-1-2i))= (complex conjugate)
x² - x( -1+2i) - x(-1-2i) + (-1+2i)(-1-2i)
x² - x(-1+2i -1-2i) + (1+2i -2i +4) ---> because i² = -1
x² - x(-2) + (5) = x² + 2x +5
(x-5)(x+3)(x² + 2x +5)=
(x² -2x-15)(x² + 2x +5)=
x^4 -14x² -40x-75
128.59943 rounds to about 128.599 because the next decimal is a 4 and your round down below 5.