Answer:
10
Step by step explanation:
In general, if we have an equation that has just one variable, such as x, then "solving the equation" means finding the set of all values that can be substituted for the one variable to produce a valid equation.
Isolate "x" on one side of the algebraic equation by adding the negative number that appears on the same side of the equation as the "x." For example, in the equation "x - 5 = 12", rewrite the equation as "x = 12 + 5" and solve for "x."
x + (-6) + (-8) = -4
x + (-6 + -8) = -4
x + (-14) = -4
x + (-14 + 14) = -4 + 14
x = 10
Part A
The given expression is:
We expand to get:
Note that
Part Bi)
The given expression is;
We simplify to get:
Note that:
This is now of the form , where .
This explains why it is a complex number;
Part bii)
The given expression is :
We simplify to get
Part C
We want to simplify:
We rewrite in terms of
<span>sum of the interior angles of a polygon = (n - 2) x 180
</span>hexagon has 6 sides , in this case n = 6
so
(6-2) x 180
= 4 x 180
= 720
answer
<span>c. 720</span>
F(x) = 3x^2 + 1
g(x) = 1 - x
(f - g)(x) = 3x^2 + 1 - (1 - x) = 3x^2 + 1 - 1 + x = 3x^2 + x
(f - g)(2) = 3(2)^2 + 2 = 3(4) + 2 = 12 + 2 = 14.
<h3>Given:</h3>
angle CED = 45°
angle EDC = x
angle DCE = 2x
<h3>To Find:</h3>
The value of x.
<h3>Angle Sum Property:</h3>
The sum of all the Interior Angles of a triangle is 180°.
<h3>Solution:</h3>
x + 2x + 45° = 180°
or, 3x = 180° - 45°
or, 3x = 135°
or, x = 135/3 = 45°
<h2>Answer:</h2>
The value of x is 45°.