Answer:
27√39
Step-by-step explanation:
To calculate the geometric mean we need to first of all multiply 24 and 32 and take the square root of it (i.e. 24*32 is 768, √768 is 27.712.....). However, in this case, we need to represent the answer in a simplified surd. To do this we need to find the highest possible perfect square that is below 768. Here it is 27 because 27*27 equals 729. Now we can go ahead and subtract 768 by 729. We get 39. So now we got two different surds. √729 and √39. We can simplify the √729 to 27. Thus our answer is the combination of both 27*√39 or 27√39.
Additive inverses, because their sum is 0
bearing in mind that an x-intercept is when the graph touches the x-axis and when that happens y = 0, and a y-intercept is when the graph touches the y-axis and when that happens x = 0.
![\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-\cfrac{1}{5}}[x-\stackrel{x_1}{(-5)}] \\\\\\ y=-\cfrac{1}{5}(x+5)\implies y = -\cfrac{1}{5}x-1](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Bpoint-slope%20form%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y-y_1%3Dm%28x-x_1%29%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%5Cimplies%20y-%5Cstackrel%7By_1%7D%7B0%7D%3D%5Cstackrel%7Bm%7D%7B-%5Ccfrac%7B1%7D%7B5%7D%7D%5Bx-%5Cstackrel%7Bx_1%7D%7B%28-5%29%7D%5D%20%5C%5C%5C%5C%5C%5C%20y%3D-%5Ccfrac%7B1%7D%7B5%7D%28x%2B5%29%5Cimplies%20y%20%3D%20-%5Ccfrac%7B1%7D%7B5%7Dx-1)
is a fraction with the denominator 6. It is less than one (5/6 = 0.83 [rounded]. 0.83 is less than 1) but greater than
(3/4 = 0.75. 0.75 is less than 0.83)
Note: To turn a fraction into a decimal you simply divide the numerator by denominator. (
→ numerator/denominator → (decimal)
