# √5(3√2+5√5)

## Answers

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Step-by-step explanation:

vThanks for free pointsThanks for free pointsThanks for free pointsThanks for free pointsThanks for free points

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-2;\ 3);\ (-3;\ 1)\\\\m=\dfrac{1-3}{-3-(-2)}=\dfrac{-2}{-3+2}=\dfrac{-2}{-1}=2[/tex]

10 units

Step-by-step explanation:

The distance from point (a,b) and (c,d) is given by formula below:-

[tex]D=\sqrt{(c-a)^2+(d-b)^2}[/tex]

Therefore, the distance between the points (5, 1) and (-3, -5) will be :

[tex]D=\sqrt{(-3-5)^2+(-5-1)^2}\\\\\Rightarrow\ D=\sqrt{(-8)^2+(-6)^2}\\\\\Rightarrow\ D=\sqrt{64+36}\\\\\Rightarrow\ D\sqrt{100}\\\\\Rightarrow\ D=10\text{ units}[/tex]

Hence, the distance between the points (5, 1) and (-3, -5) = 10 units

D ) Range={9.5, 13.5, 4.5, 6, 6.3}

Step-by-step explanation:

The function is f(x)=3x-6/x+4.5

the range is the set of all the values produced when we calculate f of all values in the domain.

so Range={f(-3), f(-1), f(2), f(4), f(5)}

Taking it one by one

f(x) = (3x-6/x)+4.5

F(3) = (3(-3)-6/3)+4.5 = (-9-6/-3)+4.5= (-15/-3)+4.5 = 5+4.5 = 9.5

f(-1) = (3(-1)-6/-1)+4.5 = (-3-6/-1)+4.5= (-9/-1)+4.5 = 9 +4.5 = 13.5

f(2) = (3(2)-6/2)+4.5= (6-6/2)+4.5 = (0/2)+4.5 = 0 +4.5 = 4.5

f(4) = (3(4)-6/4)+4.5= (12-6/4)+4.5 = (6/4)+4.5 = 1.5+4.5 = 6

f(5) = (3(5)-6/5)+4.5= (15-6/5)+4.5 = (9/5)+4.5 = 1.8 +4.5 = 6.3

The range for the given domain of the function f(x) = 3x-6/x+4.5 for {-3,-1,2,4,5} is {9.5,13.5,4.5,6,6.3}

D ) Range={9.5, 13.5, 4.5, 6, 6.3}

1. Domain: (3, 5, 7, 8, 11)

Range: ( 6, 7, 9, 14)

2. Domain: (-3, -1, 2, 5, 7)

Range: (-7, -5, -4, 5, 9)

Step-by-step explanation:

The domain is the set of all x values in the function. The range is the set of all y values in the function. It is written in parenthesis from least to greatest. Do not repeat values even if the function has them more than once.

1. Domain: (3, 5, 7, 8, 11)

Range: ( 6, 7, 9, 14)

2. Domain: (-3, -1, 2, 5, 7)

Range: (-7, -5, -4, 5, 9)

11/10

Step-by-step explanation:

4/5-(-3/10)=4/5+3/10=8/10+3/10=11/10

16 2/5

Step-by-step explanation:

[tex]16\frac{2}{5}[/tex]

Step-by-step explanation:

[tex]7\frac{1}{5} + 3 \frac{2}{5} +5\frac{4}{5}[/tex]

1) Add all the whole numbers

2) Add all numerators

3) Check if it's an improper fraction

[tex]15\frac{7}{5} = 16\frac{2}{5}[/tex]

Step-by-step explanation:

4/5-(-3/10)=4/5+3/10=8/10+3/10=11/10

5.5-8.1=-2.6

-5-5/3=-15/3-5/3=-20/3

-8 3/8-10 1/6=-67/8-61/6=-445/24

-4.62-3.51=-8.13

the answer is 10. just use the distance formula which is the square root of (x2-x1)^2+(y2-y1)^2