Answer:
<u>Q/ Draw a line ; Ans; </u>
![\frac{9}{5} —>1 \frac{4}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7B5%7D%20%20%E2%80%94%3E1%20%5Cfrac%7B4%7D%7B5%7D%20%20)
*explain ; We put the 5 in the denominator and 5 multiply 1 + 4 so equal 9 so the choice 9/5 .
Ans; 7/3—> 2 1/3
*explain ; We put the 3 in the denominator and 3 multiply 2 + 1 so equal 7 so the choice 7/3 .
Ans; 12/10 —> 1 1/5
*explain; simple (12 and 10) ÷ 2 so equal 6/5
We put the 5 in the denominator and 5 multiply 1 + 1 so equal 6 so the choice 6/5 =12/10 .
![\frac{12 \div 2}{10 \div 2} = \frac{6}{5} = 1 \frac{1}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B12%20%5Cdiv%202%7D%7B10%20%5Cdiv%202%7D%20%20%3D%20%20%5Cfrac%7B6%7D%7B5%7D%20%20%3D%201%20%5Cfrac%7B1%7D%7B5%7D%20)
<u>Q/ Compare the fractions;Ans;</u>
![\frac{2}{3} < \frac{14}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20%20%3C%20%20%5Cfrac%7B14%7D%7B6%7D%20%20)
* explain; 2/3 = 0.66 and 14/6=2.33 so 2.33 greater from 0.66 so 14/6 greater from 2/3 .
![\frac{3}{8} < \frac{8}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B8%7D%20%20%3C%20%20%5Cfrac%7B8%7D%7B3%7D%20)
* explain; 3/8 = 0.375 and 8/3=2.666 so 2.666 greater from 0.375 so 8/3 greater from 3/8 .
![2 \frac{1}{6} > \frac{5}{9}](https://tex.z-dn.net/?f=2%20%20%5Cfrac%7B1%7D%7B6%7D%20%20%3E%20%20%5Cfrac%7B5%7D%7B9%7D%20)
* explain; 2 1/6 —> We put the 6 in the denominator and 6 multiply 2 + 1 so equal 13 so equal 13/6
13/6 = 2.16 and 5/9=0.55 so 2.16 greater from 0.55 so 13/6 = 2 1/6 greater from 5/9 .
<u>Q/Add; Ans;</u>
![\frac{7}{8} + \frac{5}{8} = \frac{7 + 5}{8} = \frac{12}{8} = \frac{3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B8%7D%20%20%2B%20%20%5Cfrac%7B5%7D%7B8%7D%20%20%3D%20%20%5Cfrac%7B7%20%2B%205%7D%7B8%7D%20%20%3D%20%20%5Cfrac%7B12%7D%7B8%7D%20%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20%3C%2Fp%3E%3Cp%3E)
![\frac{1}{9} + \frac{2}{3} \\ \\ \frac{1}{9} + \frac{6}{9} = \frac{ 1+6 }{9} = \frac{7}{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B9%7D%20%20%2B%20%20%5Cfrac%7B2%7D%7B3%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B1%7D%7B9%7D%20%20%2B%20%20%5Cfrac%7B6%7D%7B9%7D%20%20%3D%20%20%5Cfrac%7B%201%2B6%20%7D%7B9%7D%20%20%3D%20%20%5Cfrac%7B7%7D%7B9%7D%20)
<u>Q/Subtract; Ans;</u>
![\frac{6}{7} - \frac{4}{7} = \frac{6 - 4}{7} = \frac{2}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B7%7D%20%20-%20%20%5Cfrac%7B4%7D%7B7%7D%20%20%3D%20%20%5Cfrac%7B6%20-%204%7D%7B7%7D%20%20%3D%20%20%5Cfrac%7B2%7D%7B7%7D%20)
![\frac{7}{3} - \frac{2}{9} \\ \\ \frac{21}{9} - \frac{2}{9} = \frac{21 - 2}{9} = \frac{19}{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B3%7D%20%20-%20%20%5Cfrac%7B2%7D%7B9%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B21%7D%7B9%7D%20%20-%20%20%5Cfrac%7B2%7D%7B9%7D%20%20%3D%20%20%5Cfrac%7B21%20-%202%7D%7B9%7D%20%20%3D%20%20%5Cfrac%7B19%7D%7B9%7D%20)
<u>Q/ Multiply;Ans;</u>
![\frac{1}{5} \times \frac{1}{2} = \frac{1}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7D%20%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B10%7D%20)
![\frac{2}{3} \times \frac{3}{8} = \frac{6}{24} = \frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20%20%5Ctimes%20%20%5Cfrac%7B3%7D%7B8%7D%20%20%3D%20%20%5Cfrac%7B6%7D%7B24%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B4%7D%20)
<u>Q/Divide;Ans;</u>
![\frac{3}{4} \div \frac{2}{5} \\ \\ \frac{3}{4} \times \frac{5}{2} = \frac{15}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20%20%5Cdiv%20%20%5Cfrac%7B2%7D%7B5%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B3%7D%7B4%7D%20%20%5Ctimes%20%20%5Cfrac%7B5%7D%7B2%7D%20%20%3D%20%20%5Cfrac%7B15%7D%7B8%7D%20)
![\frac{8}{9} \div \frac{1}{3} \\ \\ \frac{8}{9} \times \frac{3}{1} = \frac{24}{9} = \frac{8}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B9%7D%20%20%5Cdiv%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B8%7D%7B9%7D%20%20%5Ctimes%20%20%5Cfrac%7B3%7D%7B1%7D%20%3D%20%20%20%5Cfrac%7B24%7D%7B9%7D%20%20%3D%20%20%5Cfrac%7B8%7D%7B3%7D%20)
I hope I helped you^_^
Answer:
Step-by-step explanation:
The two points can be made into a right triangle with the two sides defined by two lines drawn from the two given points. Use the Pythagorean Theorem to solve for the hypotenuse, the distance between the two points. See attached graph.
6^2 + 2^2 = x^2
36 + 4 = x^2
x^2 = 40
x = 6.32
Answer:
256.8
Step-by-step explanation:
the tenths place is the first number after the decimal.
Answer:
49y
Step-by-step explanation:
7 x 7 x y= 49 x y = 49y
Answer:
![goh(x)=x^3+12x^2+49x+68](https://tex.z-dn.net/?f=goh%28x%29%3Dx%5E3%2B12x%5E2%2B49x%2B68)
Step-by-step explanation:
![g(x) = x^3+x](https://tex.z-dn.net/?f=g%28x%29%20%3D%20x%5E3%2Bx)
![h(x)=x+4](https://tex.z-dn.net/?f=h%28x%29%3Dx%2B4)
We have to find
![goh(x)](https://tex.z-dn.net/?f=goh%28x%29)
![goh(x) = g(h(x))=g(x+4)](https://tex.z-dn.net/?f=goh%28x%29%20%3D%20g%28h%28x%29%29%3Dg%28x%2B4%29)
If ![g(x) = x^3+x](https://tex.z-dn.net/?f=g%28x%29%20%3D%20x%5E3%2Bx)
![g(x+4) = (x+4)^3+(x+4)](https://tex.z-dn.net/?f=g%28x%2B4%29%20%3D%20%28x%2B4%29%5E3%2B%28x%2B4%29)
=![x^3+12x^2+49x+68](https://tex.z-dn.net/?f=%20x%5E3%2B12x%5E2%2B49x%2B68)
Hence our answer is
![goh(x)=x^3+12x^2+49x+68](https://tex.z-dn.net/?f=goh%28x%29%3Dx%5E3%2B12x%5E2%2B49x%2B68)