Answer: X = -36
Step-by-step explanation:
X/-2 = 18 we need to get the variable alone, so we need to get rid of the /-2 to get x alone. And whatever we do to one side we have to do to the other so:
X/-2 = 18
X/-2 • (-2) = 18 • (-2)
The /-2 cancels out so we are left with
X = -36
-92
Step-by-step explanation:
If a quadratic equation has the following form:
then its discriminant D is defined as
In our given quadratic equation, a = 4, b = -2 and c = 6, so its discriminant is
Note: The value of the discriminant D will determine the characteristics of the roots of the quadratic equation according to the following rules:
there will be 2 real roots
there will be 1 real root
there will be 2 imaginary roots
Hence our given quadratic equation will not have any real roots but only imaginary ones.
Given: an n-gon
Prove: The sum of the measures of the interior angles is 180(n – 2)°.
Complete the missing parts of the paragraph proof.
We are given an n-gon, which has n sides and n vertices.
Answers:
1. If we choose one of the vertices, we can draw <u>n-3</u> diagonals.
2. These diagonals form <u>n-2</u> triangles.
3. The sum of the interior angle measures of a triangle is <u>180</u> degrees.
4. <u>n – 2</u> triangles would have an interior angle measure sum of <u>180</u> degrees.
5. Therefore, the sum of the measures of the interior angles of an n-gon is 180(n – 2)°.
First, find the hypotenuse of the triangle with leg lengths 4 and 4. Use special triangle theorem:
1:1:sqrt(2) 4:4:4*sqrt(2)
Use the Pythagorean Theorem to find x:
2^2 + (4sqrt2)^2 = x^2
x^2 = 36
x = 6, or choice (D).
Answer:
√8 and √23
Step-by-step explanation:
