Answer:
The correct answer is:
Option 2: Yes, because the slopes of lines are negative reciprocals.
Step-by-step explanation:
Given equations of lines are:
Line p: x+2y=1
Line q: y=2x+1
We can determine if two lines are parallel or perpendicular by comparing the slopes of line.
Slope intercept form of line is given by the formula
Equation of line q is already in slope intercept form.
We have to convert the equation of line p in slope-intercept form
Slope of line p = 2
Slope of line q = -1/2
We can see that
The product of slopes of both lines is -1, hence, the lines are perpendicular.
Hence,
The correct answer is:
Option 2: Yes, because the slopes of lines are negative reciprocals.
Find total instruments:
20+20+45+15 = 100
20 are brass
The portion would be number of brass over total:
20/100 which reduces to 1/5 are brass
Answer:
The answer is B
Step-by-step explanation:
The answer is 60
because first you subtract 10 on both sides
then multiply 4 on both sides getting v=60
Answer:
The solution to the set of linear equations is:
Step-by-step explanation:
Hey there!
In order to solve this system of equations, we can put the equations equal to each other since both equations are equal to y
Now we simplify
---> 
So now that we know that x is equal to 5, we can find the value of y
let's substitute it in one of the equations
---> 
So now we know that the point where the two equations intersect is:
This is going to be our solution
The graph is in an attachment below
