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Zanzabum
3 years ago
6

What is the equation of the line that is the perpendicular bisector of the segment

Mathematics
1 answer:
uysha [10]3 years ago
8 0

The answer is y=x-4

......................................

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Stuck, anyone can help?
expeople1 [14]

Answer:

Step-by-step explanation:

\sqrt{x-3} = x - 5 ( x ≥ 3 )

( \sqrt{x-3} )² = ( x - 5 )²

x - 3 = x² - 10x + 25

x² - 11x + 28 = 0

(x - 4)(x - 7) = 0

x_{1} = 7

x_{2} = 4

Check the answer:

1). x = 7

\sqrt{7-3} = 7 - 2

√4 = 2

2 = 2

2). x = 4

\sqrt{4-3} = 4 - 5

1 = - 1 (False statement) ⇒ x = 4 is an extraneous solution.

6 0
2 years ago
The equation x^3+x^2+ax-4=0 has one root equal to -2. Find the value of a.​
Vedmedyk [2.9K]

Answer:

a = - 4

Step-by-step explanation:

Given x = - 2 is a root then f(- 2) = 0

f(x) = x³ + x² + ax - 4, thus

f(- 2) = (- 2)³ + (- 2)² - 2a - 4 = 0, that is

f(- 2) = - 8 + 4 - 2a - 4 = 0, thus

- 8 - 2a = 0 ( add 8 to both sides )

- 2a = 8 ( divide both sides by - 2 )

a = - 4

5 0
3 years ago
A rectangle has an area of x3 + x2 – 7x + 2 square meters and a width of x – 2 meters. Find its length.
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The distance beween the points is 3\sqrt{} 13
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the total length of 4 blue banners an 5 yellow banners is 49 meters. the total length of 2 blue banners an 1 yellow banner is 17
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Yellow banner is 5
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