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3 years ago

Solve for x. 13 =(5x+ 6)/8 + (5x+4)/4

Mathematics

1 answer:

valkas [14]3 years ago

3 0

Answer: x=6

Step-by-step explanation:

To solve for x, we want to isolate the variable.

$\frac{5x+6}{8} +\frac{5x+4}{4} =13$ [get common denominator]

$\frac{5x+6}{8} +\frac{2(5x+4)}{8} =13$ [add fractions]

$\frac{5x+6+10x+8}{y} =13$ [combine like terms]

$\frac{15x+14}{8} =13$ [multiply both sides by 8]

$15x+14=104$ [subtract both sides by 14]

$15x=90\\$ [divide both sides by 15]

$x=6$

Now, we know that x=6.

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galina1969 [7]

<h2>Hello!</h2>

The answer is:

Center: (-4,-4)

Radius: 2 units.

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$(x-h)^{2}+(y-k)^{2}=r^{2}$

Where:

"h" and "k" are the coordinates of the center of the circle and "r" is its radius.

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The given equation is:

$x^{2}+y^{2}+8x+8y+28=0$

So, solving we have:

$x^{2}+y^{2}+8x+8y=-28$

$(x^2+8x+(\frac{8}{2})^{2})+(y^2+8y+(\frac{8}{2})^{2})=-28+((\frac{8}{2})^{2})++(\frac{8}{2})^{2})\\\\(x^2+8x+16 )+(y^2+8y+16)=-28+16+16\\\\(x^2+4)+(y^2+4)=4$

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So,

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Radius: 2 units.

Have a nice day!

Note: I have attached a picture for better understanding.

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