Answer:
Because the triangle is a 45-45-90 triangle, the n and m should be the same lengths. For these types of triangles, the hypotenuse is and the side lengths are x. Because we are given the length of the hypotenuse, we need to find the x-value. The equation should be 6=
. Simplify to get x=
. So, the length of n and m should both be
.
The equation are true for x = -2 and x = 2.
The given equations are given as:
We need to select two equations that are true for x = -2 and x = 2.
<h3>What are the solutions to an equation ?</h3>
The solutions of an equation are the values that satisfy the given equation or make the equation true when substituted for unknowns in the equations.
Example:
x - 2 = 2
Here the solution for x - 2 = 2 is 4 because x = 4 will make the equation true.
4 - 2 = 2
2 = 2
Let's find the solutions for each equation.
1.
= 4
x = = ± 2
x = = 2 and x = -2
2.
x =
x = =
x = ± 2
x = 2i and x = -2i where i =
3.
3 + 12 = 0
= -12 / 3 = -4
x =
x = ± 2
x = 2i and x = -2i
4.
4 = 16
= 16 / 4
= 4
x =
x = ±2
x = 2 and x = -2
5.
x - 2 = 0
x = 2.
Thus the equation have solutions x = -2 and x = 2.
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Answer: x - 2y = -12
<u>Step-by-step explanation:</u>