Can someone please help? U get points just from typing and I would really appreciate it.
2 answers:
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Answer:
A) Quantity x minus 5 over quantity x plus 1, where x≠-1 and x≠-9
Step-by-step explanation:
Simplifying the numerator first:
x² + 4x - 45 using the quadratic formula you get;
(x - 5)(x + 9)
Then simplifying the denominator x² + 10x + 9 using a quadratic formula you get;
(x + 1)(x + 9)
Dividing the numerator and denominator now gives;
Cancelling (x + 9) throughout leaves you with;
The only restrictions here is if x = 1 and 9 which will give an undefined answer.
Using the definition of the Vertical shifts of graphs of the function :
"Suppose c>0,
To graph y=f(x)+c, shift the graph of y=f(x) upward c units.
To graph y=f(x)-c, shift the graph of y=f(x) downward c units"
Again we recall the definition of Horizontal shifts of graphs:
" suppose c>0,
the graph y=f(x-c), shift the graph of y=f(x) to the right by c units
the graph y=f(x+c), shift the graph of y=f(x) to the left by c units. "
consider is the parent function.
shifts the graph
upward by 8 units
shifts the graph
downward by 8 units
shifts the graph
left by 8 units
shifts the graph
right by 8 units.
Answer:
A.
C.
Step-by-step explanation:
Given:
The given line is
Express this in slope-intercept form , where m is the slope and b is the y-intercept.
Therefore, the slope of the line is .
Now, for perpendicular lines, the product of their slopes is equal to -1.
Let us find the slopes of each lines.
Option A:
On comparing with the slope-intercept form, we get slope as .
Now, . So, option A is perpendicular to the given line.
Option B:
For lines of the form , where, a is a constant, the slope is undefined. So, option B is incorrect.
Option C:
On comparing with the slope-point form, we get slope as .
Now, . So, option C is perpendicular to the given line.
Option D:
On comparing with the slope-intercept form, we get slope as .
Now, . So, option D is not perpendicular to the given line.