Mathematics: What is the distance between the points (1,-6) and (-5,2)a 5.6 unitsb 7.2 units c 9 units d 10 units question two is shown in picture answer both plz

What is the distance between the points (1,-6) and

Ответ:

dylanentwistle5197

10.03.2022

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-5-1]^2+[2-(-6)]^2}\implies d=\sqrt{(-5-1)^2+(2+6)^2} \\\\\\ d=\sqrt{(-6)^2+8^2}\implies d=\sqrt{36+64}\implies d=\sqrt{100}\implies d=10 \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{9})\qquad B(\stackrel{x_2}{-1}~,~\stackrel{y_2}{6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{[-1-(-3)]^2+[6-9]^2}\implies AB=\sqrt{(-1+3)^2+(6-9)^2} \\\\\\ AB=\sqrt{2^2+(-3)^2}\implies AB=\sqrt{13}\implies AB\approx 3.6$

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Ответ:

madi1820

15.12.2022

Mathematics

x= -15

Step-by-step explanation:

In order to solve this equation, we need to get x by itself. Perform the opposite of what is being done to the equation, to both sides.

-3/2x-6=-9/2+21

First, simplify the right side of the equation. Add -9/2 and 21.

-3/2x-6= (-9/2+21)

-3/2x-6=(-4.5+21)

-3/2x-6=16.5

Now, 6 is being subtracted from -3/2x. The opposite of subtraction is addition. Add 6 to both sides.

-3/2x-6+6=16.5+6

-3/2x=16.5+6

-3/2x=22.5

-3/2 is being multiplied by x. The opposite of multiplication is division. Divide both sides by -3/2.

-3/2x/-3/2= 22.5/ -3/2

When dividing fractions, you can also multiply both sides by the reciprocal of the fraction.

To find the reciprocal, flip the numerator and denominator.

-3/2–flip—> -2/3

-2/3* 3/2x= 22.5*-2/3

x=22.5* -2/3

x=-15

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What is the distance between the points (1,-6) and (-5,2)a 5.6 unitsb 7.2 units c 9 units d 10 units question two is shown in picture answer both plz

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