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BARSIC [14]
3 years ago
6

The perimeter of triangle ABC is 54. The triangle has side lengths AB=3x, BC=4x, and AC= 5x. Find the length of each side.

Mathematics
1 answer:
zheka24 [161]3 years ago
6 0
54 = 5x+4x+3x

54= 12x

x= 54/12

x=4.5

AB= 3(4.5)
= 13.5

BC= 4(4.5)
= 18

AC= 5(4.5)
= 22.5

Hope I helped :)
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Using the quadratic formula to solve 4x2 – 3x + 9 = 2x + 1, what are the values of x?
yaroslaw [1]

Answer:

The value of x is:

x=\dfrac{5\pm \sqrt{103}i}{8}

Step-by-step explanation:

we have to use the quadratic formula to solve for x.

The equation is given as:

4x^2-3x+9=2x+1

which could also be written as:

4x^2-3x+9-2x-1=0\\\\4x^2-3x-2x+9-1=0\\\\\\4x^2-5x+8=0

The quadratic formula for the quadratic equation of the type:

ax^2+bx+c=0 is given as:

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

Here we have:

a=4, b=-5 and c=8.

Hence, by the quadratic formula we have:

x=\dfrac{-(-5)\pm \sqrt{(-5)^2-4\times 8\times 4}}{2\times 4}\\\\x=\dfrac{5\pm \sqrt{25-128}}{8}\\\\\\x=\dfrac{5\pm \sqrt{103}i}{8}

Hence, the value of x is:

x=\dfrac{5\pm \sqrt{103}i}{8}

8 0
3 years ago
Read 2 more answers
3) "The difference between twice a number and 17 is no more than 13."*
stellarik [79]

Answer:

c<15

Step-by-step explanation:

2x+17 < 13

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3 years ago
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