The quadratic equation which matches given solution is x² + 3x + 3 = 0. Then the correct option is C.
<h3>What is a quadratic equation?</h3>
It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
We know that the formula
The solutions are given below.
Then
1) 2x² + 6x + 9 = 0, the zeroes of the equation will be
2) x² + 3x + 12 = 0, the zeroes of the equation will be
3) x² + 3x + 3 = 0, the zeroes of the equation will be
4) 2x² + 6x + 3 = 0, the zeroes of the equation will be
More about the quadratic equation link is given below.
brainly.com/question/2263981
(-1/4-1/2)/(-4/7)
= (-1/4-2/4)* (-7/4) (common denominator is 4)
= (-3/4)* (-7/4)
= 21/16
= 1 5/6
The final answer is 1 5/6~
<u>Given</u>:
The measures of the alternate exterior angles are (180 - x)° and x°
We need to determine the value x that makes m ║ n
<u>Value of x:</u>
We know that the measures of alternate exterior angles are equal.
Thus, we have;
Adding both sides of the equation by x, we have;
Simplifying, we get;
Dividing both sides of the equation by 2, we have;
Thus, the value of x is 90.
Hence, the value x = 90 makes the alternate exterior angles congruent and hence the line m is parallel to n.
See the attached figure to better understand the problem
we know that
in the triangle ABD
<span>applying the Pythagorean theorem
y</span>²=3³+4²---------> y²=25------------> y=5 units
tan alfa=4/3-----------> equation 1
in the triangle BDC
tan alfa=DC/BD----------> tan alfa=(x-3)/4------------> equation 2
<span>matching equations 1 and 2
4/3=</span>(x-3)/4---------> 4*4=3*(x-3)--------> 16=3x-9---------> 3x=25----> x=25/3 units
the answer is
x=25/3 units
y=5 units
