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1) Let's look at what we know and Create an equation:
Perimeter: 6x
Side A: x + 3
Side B: 2x + 4
Side C (Unknown): Let's call this 'a'.
Because you find the perimeter of a figure by adding the lengths of all its sides together, our equation would be (the parentheses are only there to help you visualize):
(X + 3) + (2x +4) + (a) = 6x
(Side A+Side B+Side C = Perimeter)
2) From here, we combine like terms:
3x + 7 + a = 6x
3) Isolate the variable in which we are solving for (a):
<u>a = 3x - 7</u>
Since we cannot simplify any further, the length of the missing side is <u>3x - 7</u>.
Answer:
the answer is 8.334
Step-by-step explanation:
This is a quadratic equation with a general equation of ax^2 + bx + c.
The quadratic formula can help to get the roots of the equation. We know the highest degree of that equation is 2; so there will be also two roots.
The quadratic formula is
x = [-b ± √(b^2 - 4ac)] / 2a
With a = 1, b = 7, c = 2,
x = {-7 ± √[(7)^2 - 4(1)(2)]} / 2(1) = (-7 ± √41) / 2
So the two roots are
x1 = (-7 + √41) / 2 = -0.2984
x2 = (-7 - √41) / 2 = 0.2984
This is also another way of factorizing the equation
(x + 0.2984)(x + 0.2984) = x^2 + 7x + 2
