(2) Using the distance formula, d = √(x2 – x1)2 + (y2 – y1)2, what is the distance between point (-2, 2) and point (4, 4) rounded

(2) Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-2, 2) and point (4, 4) rounded to the nearest tenth? 5.7 units

6.3 units

1 unit

4 units

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  1. The difference between 4 5/7 and 1 3/4 is 83/28 or 2 27/28

    Step-by-step explanation:

    First, to make it easier to subtract, let's change these numbers to improper fractions.

    4 5/7 = 33/7

    1 3/4 = 7/4

    Now, we have to find the LCM (least common multiple) between 4 and 7.

    4- 4, 8, 12, 16, 20, 24, 28, 32

    7- 7, 14, 21, 28, 35, 42, 49

    As you can see, the LCM is 28. So, lets change these fractions to have a denominator of 28.

    33*4/ 7*4 = 132/ 28

    7*7/ 4*7 = 49/ 28

    >>132 - 49 = 83

    So, the difference between 4 5/7 and 1 3/4 is 83/28 or 2 27/28

  2. Answer with explanation:

    1.

    Let a, and b be two numbers between 20 and 5 , which is in geometric progression.

    So,the series is as Follows =20 , a, b, 5

    Common ratio

              [tex]=\frac{\text{Second term}}{\text{First term}}[/tex]

    [tex]\frac{20}{a}=\frac{a}{b}=\frac{b}{5}\\\\b^2=5 a---(1)\\\\a^2=20 b\\\\\frac{b^4}{25}=20 b-----\text{Using 1}\\\\b^3=500\\\\b=(500)^{\frac{1}{3}}\\\\b=5\times (4)^{\frac{1}{3}}\\\\5a=25\times (4)^{\frac{2}{3}}\\\\a=5\times (4)^{\frac{2}{3}}[/tex]

    2.

    44 -32-3

    =12-3

    =9

    3.

    ⇒Sin (2.4)=Sin(2+0.4)

    ⇒Sin 2 ×Cos (0.4)+Cos 2 × Sin (0.4)

    ⇒Sin (A+B)=Sin A×Cos B+Cos A×Sin B

  3. Answer is in the photo. I can't attach it here, but I've uploaded it to a file hosting. link below! Good Luck!

    cutt.ly/XzW3SUN

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