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3 years ago

4x+ 3y -2z=35, 2x-3y+z=-6, x+2y+3z=-5, solve for x,y and z

Mathematics

1 answer:

Mkey [24]3 years ago

3 0

1. X = \frac{35}{4}+\frac{\left( -3\right) \ Y}{4}+\frac{z}{2}$$

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Equivalent ratios for 8:28

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Answer:

8 : 28

x2 x2

16:56

Step-by-step explanation:

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alisha [4.7K]

Answer:

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Step-by-step explanation:

The complete question is

Line L contains points (3, 5) and (7, 9). Points P has coordinates (2, 10). Find the distance from P to L

step 1

Find the equation of the line L contains points (3,5) and (7,9)

Find the slope

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substitute the given values

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substitute

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isolate the variable y

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step 2

Find the equation of the perpendicular line to the given line L that passes through the point P

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

The slope of the given line L is $m=1$

The slope of the line perpendicular to the given line L is

$m=-1$

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=-1\\point\ (2,10)$

substitute

$y-10=-(x-2)$

isolate the variable y

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step 3

Find the intersection point equation A and equation B

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$y=-x+12$ ----> equation B

solve the system by graphing

The intersection point is (5.7)

see the attached figure

step 4

we know that

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we have

(2,10) and (5,7)

substitute

$d=\sqrt{(7-10)^{2}+(5-2)^{2}}$

$d=\sqrt{(-3)^{2}+(3)^{2}}$

$d=\sqrt{18}\ units$

simplify

$d=3\sqrt{2}\ units$

see the attached figure to better understand the problem

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