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Elina [12.6K]
2 years ago
6

How do you work8x= -4x -3x​

Mathematics
2 answers:
alukav5142 [94]2 years ago
8 0
First combine like terms on each side so
8x = -7x
then move -7x
so x=0
Dennis_Churaev [7]2 years ago
6 0
X=0. Combine -4x-3x which is -7x. move -7x to the other side and set the equation equal to 0. Combine like terms to get 15x then divide both sides by 15 to get x by itself
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If the length of a rectangle is 5 m more than its width find the values of length and width if the area of a rectangle is 500 m²
astra-53 [7]

Answer:

Length of the rectangle  =25

width of the rectangle  = 20

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Let 'x' be the width of the rectangle

Given that the length of a rectangle is 5 m more than its width

Given that Area of the rectangle = 500m²

length of a rectangle = x +5

width of a rectangle = x

<u><em>Step(ii):-</em></u>

Area of the rectangle = length × width

             500 = x ( x+5)

          x² + 5 x = 500

      ⇒  x² + 5 x - 500 =0

      ⇒  x² +25x - 20 x - 500 =0

    ⇒  x( x+25) -20(x+25) =0

  ⇒  (x-20)(x+25) =0

 ⇒  x =20 and x=-25

we can choose x =20

<u><em>Step(iii):-</em></u>

Length of the rectangle = x +5 = 20 +5 =25

width of the rectangle  = 20

<u><em>Final answer</em></u>:-

Length of the rectangle  =25

width of the rectangle  = 20

3 0
2 years ago
What is the equation of a line that is perpendicular to a line with a slope of 2 and passes
geniusboy [140]

To find the equation of a perpendicular line, you first need to find the negative reciprocal of the slope given. The slope is -1/3, so the slope of the perpendicular line will be 3

Now we just need to find the y intercept using the point (3, 2) and you can plug the coordinates in and then solve for b. Let's see what that looks like.

y=3x+b

2=3*(3)+b

2=9+b

-7=b  So now we know the y-intercept and slope. We just put them together now

y=3x-7

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Answer:

4 is the answer

Step-by-step explanation:

have a nice day :)

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