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2 years ago

Given segment AC and point B that lies on AC,

Mathematics

1 answer:

ololo11 [35]2 years ago

8 0

The total length of the segment AC is the sum of AB and CB, which gives, CB = 9

<h3>How can the length of CB be found?</h3>

The given parameters are;

AC = 17
AB = 32 + 3•x
CB = 57 + 6•x

Required: CB

Solution:

AC = AB + CB by segment addition property

Therefore;

AC = 17 = 32 + 3•x + 57 + 6•x = 89 + 9•x

17 = 89 + 9•x

$x = \frac{17 - 89}{9} = - 8$

CB = 57 + 6•x = 57 + 6 × (-8) = 9

Therefore;

CB = 9

Learn more about segment addition postulate here: brainly.com/question/1721582

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2 years ago

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bija089 [108]

Answer:

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2 years ago

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Answer:

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2 years ago

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3 years ago

Find a vector that is parallel to -9x+2y = 10. Please explain step by step

coldgirl [10]

Answer:

Step-by-step explanation:

Step One: Find the slope of the given Line

2y - 9x = 10 Add 9x to both sides

2y - 9x + 9x = 9x + 10 Combine

2y = 9x + 10

y = 9/2 x + 5

The parallel line has a slope of 9/2

Step Two: Find the magnitude

sqrt(x^2 + y^2) = r You don't have a magnitude. Invent one, r

x^2 + y^2 = r^2 Both sides have been squared

Step Three: Find the change in y / x

y / x = 9/2

Step Four: Find the value of y

y/x = 9/2 Multiply both sides by x

y = 9/2 * x

Step Five: Solve for x

x^2 + y^2 = r^2

x^2 +(9/2x)^2 = r^2

x^2 + 81x^2 / 4 = r^2 Change the 1 to common denominator 1 = 4/4

4/4 x^2 + 81x^2/ 4 = r^2

85 x^2/ 4 = r^2 Multiply both sides by 4/85

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x^2 = 4/85 r^2 Take the square root of both sides

x = +/- 2/sqrt(85) r Rationalize the denominator

x = (+/- 2 sqrt(85) ) / 85 *

Step Six: Solve for y

y = 9/2 x

y = 9/2 * 2 sqrt(85) / 85 Cancel the 2s

y = +/- 9* sqrt(85)/85

Answer

<2*sqrt(85)/85 , 9 sqrt(85)/85>

You can write the minus answer if you need it. I kind of suspect you won't.

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3 years ago