The sum of two numbers is 9 If one number is 3 subtracted from the other, the result is Find the numbers.
2 answers:
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Answer:
Step-by-step explanation:
Given
Function;
Required
Find an equation perpendicular to the given function if it passes through (-3,9)
First, we need to determine the slope of:
The slope intercept of an equation is in form;
<em>Where m represent the slope</em>
Comparing to
;
We'll have that
Going from there; we need to calculate the slope of the parallel line
The condition for parallel line is;
Substitute
Divide both sides by -2
The point slope form of a line is;
Where and
becomes
Open the inner bracket
<em>Hence, the point slope form of the perpendicular line is: </em>
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1. Translation of a units to the right and b units up has rule:
(x,y)→(x+a,y+b).
Then the function is
2. Reflection across the y-axis acts in following way:
(x,y)→(-x,y).
Then the function is
3. Reflection across the x-axis acts in following way:
(x,y)→(x,-y).
Then the function is
4. Rotation of 90 degrees counterclockwise about the origin, point O acts bu the rule:
(x,y)→(-y,x).
Then the function is
5. Rotation of 180 degrees counterclockwise about the origin, point O acts bu the rule:
(x,y)→(-x,-y).
Then the function is
6. Rotation of 270 degrees counterclockwise about the origin, point O acts bu the rule:
(x,y)→(y,-x).
Then the function is