A = 6
x^2 + 6x is equal to x(x+6)
b=2
Denominator and numerator of the first term are multiplied by x.
c=6
Second term is multiplied by (x-6)/(x-6)
d=2
Now that they have the same denominator, the two terms are combined. 2 is the coefficient of the first term
e=6
In the same way as d is carried over from b, e is carried over from c.
f = 6
2x - x + 6 = x + 6
g = 1
We factor out the (x+6) from the numerator and denominator
A straight line parallel to another is one that has the same slope. The generic equation of a line can be written as y-yo = m (x-xo). If we look for a parallel line that passes through the point (8.0). We should look for a line with the values m = -0.75, xo = 8, yo = 0. Substituting in the generic equation, we have that the line sought is y = -0.75 (x-8)
The answer is:
1- A line of symmetry will connect a vertex and a midpoint of an opposite side.
2- It has
-fold symmetry.
The explanation for this answer is shown below:
1- By definition, a line of symmetry is an imaginary line that divides a figure into two equal images or equal halves. If you connect a vertex and a midpoint of an opposite side of an heptagon by drawing a line, you will obtain two equal halves.
2- An heptagon has seven vertices, therefore, based on the information mentioned above, it has
-fold symmetry.
The <u><em>correct answer</em></u> is:
(8, 20).
Explanation:
We can substitute the values for x in the equation and see if they equal y:
y=16+0.5(0) = 16+0 = 16 ≠ 18. This is not the correct option.
y=16+0.5(5) = 16+2.5 = 18.5 ≠ 19.5. This is not the correct option.
y=16+0.5(8) = 16+4 = 20. This is the correct option.