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3 years ago

/5×+4/ =/×+9/ solve for x

Mathematics

1 answer:

Bumek [7]3 years ago

4 0

Answer:

$\large\boxed{x=\dfrac{5}{4}\ \vee\ x=-\dfrac{13}{6}}$

Step-by-step explanation:

$|5x+4|=|x+9|\iff5x+4=x+9\ or\ 5x+4=-(x+9)\\\\5x+4=x+9\qquad\text{subtract 4 from both sides}\\5x=x+5\qquad\text{subtract x from both sides}\\4x=5\qquad\text{divide both sides by 4}\\x=\dfrac{5}{4}\\\\5x+4=-(x+9)\\5x+4=-x-9\qquad\text{subtract 4 from both sides}\\5x=-x-13\qquad\text{add x to both sides}\\6x=-13\qquad\text{divide both sides by 6}\\x=-\dfrac{13}{6}$

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2 years ago

The length of a rectangle is five times it’s width if the area of the rectangle is 320m^2 find its perimeter

BlackZzzverrR [31]

Answer:

Perimeter of the rectangle = 96 meters.

Step-by-step explanation:

Let the width of the rectangle = K

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Now, Area of a Rectangle = Length x Width

⇒ 320 = K x 5K

or, $5K^{2} = 320\\or, K^{2} = \frac{320}{5} = 64$

So, the vlue of K = 8 or, K = -8

But as K represents a length hence, K ≠ -8

So, the <u>width of the rectangle = 8 meters</u>

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2 years ago

Evaluate z + 2+ z for x = 2, y=-3, z = -4.

Artyom0805 [142]

Answer:

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Step-by-step explanation:

Are you sure that z + 2+ z is correct? x and y do not appear here.

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3 years ago

/5×+4/ =/×+9/ solve for x​

/5×+4/ =/×+9/ solve for x