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omeli [17]
2 years ago
8

I need help solving this problem. Thanks

Mathematics
1 answer:
Kamila [148]2 years ago
6 0

9514 1404 393

Answer:

  y = -4/7x +58/7

Step-by-step explanation:

The slope of the given line segment is ...

  m = (y2 -y1)/(x2 -x1)

  m = (17 -3)/(1 -(-7)) = 14/8 = 7/4

Then the slope of the perpendicular line is ...

  -1/m = -4/7 . . . . . slope of the perpendicular bisector.

__

The midpoint of the given line segment is ...

  M = 1/2(x1 +x2, y1 +y2)

  M = (1/2)(-7 +1, 3 +17) = 1/2(-6, 20) = (-3, 10)

__

The y-intercept of the bisector can be found from ...

  b = y -mx

  b = 10 -(-4/7)(-3) = 10 -12/7 = 58/7

Then the slope-intercept form equation for the perpendicular bisector is ...

  y = mx +b

  y = -4/7x +58/7

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The height of a rectangular prism is 3 feet. The length and width can be expressed as x-1 and x+4. If the volume of the prism is
SashulF [63]

Answer:

Step-by-step explanation:

Volume  = 198 ft

length * width * height = 198

(x - 1) * (x + 4) * 3 = 198

(x - 1) * (x + 4)  = 198/3

(x - 1) * (x + 4) = 66

x*x + x*4 -1*x - 1*4 = 66   {Use FOIL method to multiply}

x² + 4x - x - 4 = 66

x² + 3x - 4 =66

x² + 3x - 4 - 66 = 0

x² + 3x - 70 = 0

Now factorize.

x² + 10x - 7x - 7*10 = 0

x(x +10) - 7(x + 10 ) = 0

(x + 10)(x - 7) = 0

x - 7 = 0 {x + 10 is ignored because measurement cannot be in negative}

x = 7

length = x - 1 = 7 - 1 = 6ft

Width = x + 4 = 7 + 4 = 11 ft

4 0
3 years ago
Given the following linear function, sketch the graph of the function and find the domain and range. f(x)=2/3x-3
stira [4]
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6 0
3 years ago
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I need someone to explain on how to do this problem.​
weqwewe [10]

Answer:

I think it's x=-12 for the buttom one

Step-by-step explanation:

I think when you get open equations like these you would asume 1 is there so rewrite it as 2x + 25 = 1

so take the 25 away from 1. to do that we need to do the opisite of +

2x + 25 = 1

1 - 25 = -24

rewrite

2x = -24

take the 2 away. oppisite of mulitplication is division. so divide 2 by -24

-24 divided by 2 = -12

Hope this helps! Please mark as brainliest! Thanks! If you need me to solve the top one too, I'll do it! Just comment bellow. :D

5 0
3 years ago
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Х+ 2y = -1<br> 2x – Зу = 12
yarga [219]
Use substitution method
4 0
3 years ago
5. What is the total surface area of the figure below?<br>6 cm<br>7 cm<br>13.1 cm​
zhannawk [14.2K]

Answer:

550.2cm

Step-by-step explanation:

6 cm x 7 cm x 13.1 cm = 550.2 cm

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3 years ago
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