Answer: <em>x</em> = 20
Step-by-step explanation:
If line <em>m</em> is parallel to line <em>n</em>, the two angles given will be congruent because they will be alternate exterior angles (which are congruent).
This means we will set them equal to each other and solve for <em>x</em>.
Given:
(4<em>x</em> - 23) = (2<em>x</em> + 17)
Add 23 to both sides of the equation:
4<em>x</em> = 2<em>x</em> + 40
Subtract 2<em>x</em> from both sides of the equation:
2<em>x</em> = 40
Divide both sides of the equation by 2:
<em>x</em> = 20
Answer:
3x^4 - 13x^3 - x^2 - 11x + 6.
Step-by-step explanation:
x^2-5x+2 x 3x^2 +2x +3
= x^2(3x^2 +2x +3) - 5x(3x^2 +2x +3) + 2(3x^2 +2x +3)
= 3x^4 + 2x^3 + 3x^2 - 15x^3 - 10x^2 - 15x + 6x^2 + 4x + 6
Adding like terms:
= 3x^4 - 13x^3 - x^2 - 11x + 6.
The calculated distance would be in square units instead of linear units.
Answer: Option C.
<u>Explanation:</u>
The Distance Formula itself is actually derived from the Pythagorean Theorem. This is the formula where c is the longest side of a right triangle (also known as the hypotenuse) and a and b are the other shorter sides (known as the legs of a right triangle).
The distance formula is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points.
Answer:
Step-by-step explanation: