Step-by-step explanation:
Assume that two lines x and y are perpendicular to the line z.
+) x intersects z at point A => Angle A1 = 90°
+) y intersects z at point B => Angle B1 = 90°
As it can be seen from the figure that Angle A1 and Angle B1 are corresponding angles and they are congruent.
According to the corresponding angle theorem, when two parallel lines are cut by a transversal, the pair of corresponding angles are congruent and vice versa, when two lines are cut by the same line and the pair of corresponding angles are congruent, they are parallel.
=> x and y are parallel.
Answer:
591.5
Step-by-step explanation:
You're rounding so yeah this was simple
Answer:
The slope in point-slope form is the coefficient of the x term so the answer is 8.
Let y = 3^x , then 9^x = (3^2)^x = (3^x)^2 = y^2, so we can write the equation as
y^2 - 10y + 9 = 0
(y - 9)(y - 1) = 0
giving y = 9 or y = 1
Therefore 3^x = 9 giving x = 2
and 3^x = 1 giving x = 0
so the solution set is {0, 2}
Note - I have assumed that the 'x' after the 10 means 'multiply'. Is that correct?
If you begin with the graph for f(x) and then substitutde x+3 for x, the effect on the graph will be to move the whole graph 3 units to the left.
Given that (-9,-1) is on the graph of f(x), and that we are to move the entire graph 3 units to the left, then the coordinate -9 becomes -9-3, or -12: (-12,-1).
