Answer:
Length of side AB = 5
Step-by-step explanation:
A regular polygon is one in which all angles are equal and all the sides have the same length.
Now, it means that;
AB = BC = CD = DE = AE
We are told that BC is represented by 3x - 4 while DE is represented by the expression 4x - 9.
Thus, from equal length of sides of a regular polygon, we have;
3x - 4 = 4x - 9
4x - 3x = 9 - 4
x = 5
Thus, length of BC = 3(5) - 4 = 15 - 4 = 11
Therefore, Length of AB = 5
Using linear combination method to solve the system of equations 3x - 8y = 7 and x + 2y = -7 is (x, y) = (-3, -2)
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Given that, a system of equations are:
3x – 8y = 7 ⇒ (1) and x + 2y = - 7 ⇒ (2)
We have to solve the system of equations using linear combination method and find their solution.
Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated. Addition or subtraction can be used to perform a linear combination.
Now, let us multiply equation (2) with 4 so that y coefficients will be equal numerically.
4x + 8y = -28 ⇒ (3)
Now, add (1) and (3)
3x – 8y = 7
4x + 8y = - 28
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7x + 0 = - 21
7x = -21
x = - 3
Now, substitute "x" value in (2)
(2) ⇒ -3 + 2y = - 7
2y = 3 – 7
2y = - 4
y = -2
Hence, the solution for the given two system of equations is (-3, -2)
Thanks for sharing.
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I thought they would be the same so I would go with B. 85
Example...
4^x = 16
log(4^x) = log(16)
x*log(4) = log(16)
x = log(16) / log(4)
