Here is the link to the graph. You can scale it and tweak it.
https://www.desmos.com/calculator/mawkflj9ws
Hope this helped!
Answer:
a. ![$ \frac{\textbf{17}}{\textbf{4}} $](https://tex.z-dn.net/?f=%24%20%5Cfrac%7B%5Ctextbf%7B17%7D%7D%7B%5Ctextbf%7B4%7D%7D%20%24)
b. ![$ \frac{\textbf{3}}{\textbf{8}} $](https://tex.z-dn.net/?f=%24%20%5Cfrac%7B%5Ctextbf%7B3%7D%7D%7B%5Ctextbf%7B8%7D%7D%20%24)
Step-by-step explanation:
a. ![$ \textbf{3} \hspace{1mm} \textbf{+} \hspace{1mm} \textbf{1}\frac{\textbf{1}}{\textbf{4}} $](https://tex.z-dn.net/?f=%24%20%5Ctextbf%7B3%7D%20%5Chspace%7B1mm%7D%20%5Ctextbf%7B%2B%7D%20%5Chspace%7B1mm%7D%20%5Ctextbf%7B1%7D%5Cfrac%7B%5Ctextbf%7B1%7D%7D%7B%5Ctextbf%7B4%7D%7D%20%24)
A mixed fraction of the form ![$ a\frac{x}{y} = a + \frac{x}{y} $](https://tex.z-dn.net/?f=%24%20a%5Cfrac%7Bx%7D%7By%7D%20%3D%20a%20%2B%20%5Cfrac%7Bx%7D%7By%7D%20%24)
![$ \therefore 3 + 1\frac{1}{4} = 3 + 1 + \frac{1}{4} $](https://tex.z-dn.net/?f=%24%20%5Ctherefore%203%20%2B%201%5Cfrac%7B1%7D%7B4%7D%20%3D%203%20%2B%201%20%2B%20%5Cfrac%7B1%7D%7B4%7D%20%24)
![$ = 4 + \frac{1}{4} $](https://tex.z-dn.net/?f=%24%20%3D%204%20%2B%20%5Cfrac%7B1%7D%7B4%7D%20%24)
![$ = \frac{\textbf{17}}{\textbf{4}} $](https://tex.z-dn.net/?f=%24%20%3D%20%5Cfrac%7B%5Ctextbf%7B17%7D%7D%7B%5Ctextbf%7B4%7D%7D%20%24)
b. ![$ \textbf{2} \hspace{1mm} \textbf{-} \hspace{1mm} \textbf{1}\frac{\textbf{5}}{\textbf{8}} $](https://tex.z-dn.net/?f=%24%20%5Ctextbf%7B2%7D%20%5Chspace%7B1mm%7D%20%5Ctextbf%7B-%7D%20%5Chspace%7B1mm%7D%20%5Ctextbf%7B1%7D%5Cfrac%7B%5Ctextbf%7B5%7D%7D%7B%5Ctextbf%7B8%7D%7D%20%24)
A mixed fraction of the form ![$ -c\frac{a}{b} = - c - \frac{a}{b} $](https://tex.z-dn.net/?f=%24%20-c%5Cfrac%7Ba%7D%7Bb%7D%20%3D%20-%20c%20-%20%5Cfrac%7Ba%7D%7Bb%7D%20%24)
![$ \therefore 2 - 1\frac{5}{8} = 2 - 1 - \frac{5}{8} $](https://tex.z-dn.net/?f=%24%20%5Ctherefore%202%20-%201%5Cfrac%7B5%7D%7B8%7D%20%3D%202%20-%201%20-%20%5Cfrac%7B5%7D%7B8%7D%20%24)
![$ = 1 - \frac{5}{8} $](https://tex.z-dn.net/?f=%24%20%3D%201%20-%20%5Cfrac%7B5%7D%7B8%7D%20%24)
![$ = \frac{8 - 5}{8} $](https://tex.z-dn.net/?f=%24%20%3D%20%5Cfrac%7B8%20-%205%7D%7B8%7D%20%24)
![$ = \frac{\textbf{3}}{\textbf{8}} $](https://tex.z-dn.net/?f=%24%20%3D%20%5Cfrac%7B%5Ctextbf%7B3%7D%7D%7B%5Ctextbf%7B8%7D%7D%20%24)
Hence, the answer.
Given that the triangle is a right angled triangle, to solve for x we shall use the Pythagorean theorem given by:
c^2=a^2+b^2
where:
c is the hypotenuse
a and b are the legs.
c=10
a=6
b=(x-6)
thus plugging the values in the equation and solving for x we get:
10^2=6^2+(x-6)^2
100=36+x^2-12x+36
100=x^2-12x+72
0=x^2-12x-28
factoring the above we get:
0=(x+2)(x-14)
hence
x=-2 or x=14
given that there is no negative distance then
x=14
thus the value of x is 14
Answer:
Weakest value = 0.0196
Strongest value = 0.5929
Step-by-step explanation:
Given:
Choices
0.691
-0.14
-0.24
-0.77
Computation:
0.691² = 0.477481
-0.14² = 0.0196
-0.24² = 0.0576
-0.77² = 0.5929
Weakest value = 0.0196
Strongest value = 0.5929
Answer:
your answers are already matched up
Step-by-step explanation: