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worty [1.4K]
2 years ago
6

Find the distance from A(-8,-3,-2) and B(-4,8,0) , find ||AB||

Mathematics
1 answer:
RUDIKE [14]2 years ago
3 0

Answer:

||AB|| = 11.8743

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, (x_1,y_1,z_1) and (x_2,y_2,z_2). The distance between them is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}

Distance from A(-8,-3,-2) and B(-4,8,0)

||AB|| = \sqrt{(-4-(-8))^2+(8-(-3))^2+(0-(-2))^2}

||AB|| = \sqrt{4^2 + 11^2 + 2^2}

||AB|| = 11.8743

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What is an equation of the line that passes through the points (0, 3) and (5,-3)?
Arisa [49]

Answer:

The equation of the line that passes through the points (0, 3) and (5, -3) is y = -\frac{6}{5}\cdot x +3.

Step-by-step explanation:

From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:

y = m\cdot x + b (Eq. 1)

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

m - Slope, dimensionless.

b - y-Intercept, dimensionless.

If we know that (x_{1},y_{1}) = (0,3) and (x_{2},y_{2})=(5,-3), the following system of linear equations is constructed:

b = 3 (Eq. 2)

5\cdot m + b = -3 (Eq. 3)

The solution of the system is: b = 3, m = -\frac{6}{5}. Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is y = -\frac{6}{5}\cdot x +3.

5 0
3 years ago
Evaluating expressions for the value of x 4.5x-12 x=2
Svetradugi [14.3K]

X = 2

4.5(2) -12

9 -12

= -3

Answer is -3

4 0
2 years ago
Is this correct please help
Pavel [41]
Yes your answers are correct
5 0
2 years ago
Read 2 more answers
What is the solution of x-1/1-x < 0?
kykrilka [37]

Option C is correct option.

Step-by-step explanation:

We need to find the solution of \frac{x-1}{1-x}

The given inequality becomes undefined when x = 1 because the denomiator is: 1-x and if x = 1 then it becomes 1-1 = 0 and anything divided by zero is undefined.

So, all values other than 1 are included in the solution of the given inequality.

So, solution is: x<1 or x>1 but x≠1

So, Option C is correct because all numbers are included in number line except 1. An unfilled circle on 1 shows that it is not included in the solution. Rest of numbers are included.

Option C is correct option.

Keywords: Solving inequalities

Learn more about Solving inequalities at:

  • brainly.com/question/1465430
  • brainly.com/question/6703816
  • brainly.com/question/11788572
  • brainly.com/question/4192226

#learnwithBrainly

8 0
3 years ago
4/6 + 1/12. Quick answer.
Fynjy0 [20]

nvm lol 3/4( had to redo

6 0
2 years ago
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