The line given by the equation y=5x+2 is perpendicular to the line given by which of the equations below?
2 answers:
D
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = 5x + 2 is in this form with m = 5
Given a line with slope m then the slope of a line perpendicular to it is
perpendicular slope = - = -
the only equation from the list with this slope is equation D
You might be interested in
Greetings!
To find the length of any side of a right triangle, you can use the Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
Input the information from the diagram into the formula:
Expand each term:
Combine like terms:
Add -169 to both sides:
Factor out the Common Term (2):
Factor the Complex Trinomial:
Set Factors to equal 0:
or
However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)
The Solution Is:
I hope this helped!
-Benjamin
To find the length of any side of a right triangle, you can use the Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
Input the information from the diagram into the formula:
Expand each term:
Combine like terms:
Add -169 to both sides:
Factor out the Common Term (2):
Factor the Complex Trinomial:
Set Factors to equal 0:
or
However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)
The Solution Is:
I hope this helped!
-Benjamin