The 1st one :)
Jonah should shade 6 parts of 10
Answer:
±10
Step-by-step explanation:
so what squared is 100?
10. but also -10.
10*10 = 100, and -10*-10 is also 100.
therefore, sqrt(100) has two solutions, which are positive or negative 10, and that's the application of ±.
Answer:
N is the intersection of CM and RN
Step-by-step explanation:
First off, we'll move the non-repeating part in the decimal to the left-side, by doing a division by a power of 10.
then we'll equate the value to some variable, and move the repeating part over to the left as well.
anyhow, the idea being, we can just use that variable, say "x" for the repeating bit, let's proceed,
![\bf 0.580\overline{80}\implies \boxed{\cfrac{5.80\overline{80}}{10}}\qquad \textit{now, let's say }x= 5.80\overline{80}\\\\ -------------------------------](https://tex.z-dn.net/?f=%5Cbf%200.580%5Coverline%7B80%7D%5Cimplies%20%5Cboxed%7B%5Ccfrac%7B5.80%5Coverline%7B80%7D%7D%7B10%7D%7D%5Cqquad%20%5Ctextit%7Bnow%2C%20let%27s%20say%20%7Dx%3D%205.80%5Coverline%7B80%7D%5C%5C%5C%5C%0A-------------------------------)
![\bf thus\qquad \begin{array}{llll} 100\cdot x&=&580.80\overline{80}\\ &&575+5.80\overline{80}\\ &&575+x \end{array}\qquad \implies 100x=575+x \\\\\\ 99x=575\implies x=\cfrac{575}{99}\qquad therefore\qquad \boxed{\cfrac{5.80\overline{80}}{10}}\implies \cfrac{\quad \frac{575}{99}\quad }{10} \\\\\\ \cfrac{\quad \frac{575}{99}\quad }{\frac{10}{1}}\implies \cfrac{575}{99}\cdot \cfrac{1}{10}\implies \cfrac{575}{990}\implies \stackrel{simplified}{\cfrac{115}{198}}](https://tex.z-dn.net/?f=%5Cbf%20thus%5Cqquad%20%5Cbegin%7Barray%7D%7Bllll%7D%0A100%5Ccdot%20x%26%3D%26580.80%5Coverline%7B80%7D%5C%5C%0A%26%26575%2B5.80%5Coverline%7B80%7D%5C%5C%0A%26%26575%2Bx%0A%5Cend%7Barray%7D%5Cqquad%20%5Cimplies%20100x%3D575%2Bx%0A%5C%5C%5C%5C%5C%5C%0A99x%3D575%5Cimplies%20x%3D%5Ccfrac%7B575%7D%7B99%7D%5Cqquad%20therefore%5Cqquad%20%5Cboxed%7B%5Ccfrac%7B5.80%5Coverline%7B80%7D%7D%7B10%7D%7D%5Cimplies%20%5Ccfrac%7B%5Cquad%20%5Cfrac%7B575%7D%7B99%7D%5Cquad%20%7D%7B10%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7B%5Cquad%20%5Cfrac%7B575%7D%7B99%7D%5Cquad%20%7D%7B%5Cfrac%7B10%7D%7B1%7D%7D%5Cimplies%20%5Ccfrac%7B575%7D%7B99%7D%5Ccdot%20%5Ccfrac%7B1%7D%7B10%7D%5Cimplies%20%5Ccfrac%7B575%7D%7B990%7D%5Cimplies%20%5Cstackrel%7Bsimplified%7D%7B%5Ccfrac%7B115%7D%7B198%7D%7D)
and you can check that in your calculator.
Plug in -2/4 for R
so -2/4+3/4= 1/4