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34kurt
2 years ago
5

Find the equation of the line below if necessary use the slash (/) to indicate a division bar (2,6)(1,3)

Mathematics
1 answer:
777dan777 [17]2 years ago
7 0
Given that the line passes through points:
(2,6), (1,3)
the equation will be given by:
m(x-x1)=y-y1
where
slope, m=(y-y1)/(x-x1)
from the points given:
m=(6-3)/(2-1)=3/1=3
thus the equation will be given by:
using point (1,3)
3(x-1)=y-3
3x-3=y-3
hence
y=3x-3+3
y=3x
Answer: y=3x
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The area of a rectangle is 5x^3+19+6x-18 with length x + 3. Using synthetic division, what is the width of the rectangle?
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        -3     
                    -15 -12   18

                 5    4   -6    0

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Your school wants to take out an ad in the paper congratulating the basketball team on a successful​ season, as shown to the rig
Serga [27]

Answer:

1.4in

Step-by-step explanation:

Length of Photo = 4in

Width of Photo = 3in

Unknown:

Value of X = ?

Solution:

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Since the photo is a rectangle; area of photo:

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For the area of the ad;

   Length of ad  = 4 + x

   Width of ad = 3 + x

Given that,

                  the area of the photo  = \frac{1}{2} area of ad

                           12in²  = \frac{1}{2} area of ad

                   Area of ad  = 24in²

Area of the ad;

             (4 + x) (3 + x)  = 24

               12 + 4x + 3x + x² = 24

                12 + 7x + x²  = 24

                       x² + 7x = 24 - 12

                       x² + 7x = 12

                     x² + 7x - 12  = 0

            Using the almighty formula where

     a  = 1, b = 7 and c = -12

          x  = \frac{-b (+/-) \sqrt{b^{2} } - 4ac}{2a}

     

          x = \frac{-7 + \sqrt[]{-7^{2} - 4x1x-12 } }{2x1}   or \frac{-7 - \sqrt[]{-7^{2} - 4x1x-12 } }{2x1}

          x  = 1.4  or  -8.4

therefore the answer is 1.4in

x is 1.4in

4 0
1 year ago
When 54,702 is divided by 25, the quotient is 2,188 R ___.
iogann1982 [59]
Hello There!

The quotient is 2'188 R 2

Hope This Helps You!
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- Hannah ❤
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Zina [86]
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