Tutors Answer Your Questions about Linear-equations (FREE)
Question 117885: Are the following lines parallel, perpendicular, or neither?
L1 with equation x-4y=12
L2with equation 4x+y=4
Check their slopes,m:
y=mx+b
If m1 and m2 are equal, then the lines are parallel.
If m1 and m2 are negative reciprocals, then the lines are perpendicular
L1 = -4y=-x+12-->y=1/4x-3--->m1=(1/4)
L2 = y = -4x +4--->m2=(-4)
Since m1 and m2 are negative, reciprocals the lines are perpendicular.
Hope that helps.
misscrt
Click here to see answer by misscrt(37) |
Question 117884: Write the line equation of the line which has y-intercept (0,5) and is perpendicular to the line with equation y=-3x+1(y = mx + b).
m1 is the negative reciprocal of m=-3, which is 1/3.
You were given (0,b)=(0,5)
Plug the values for m1 and b into the equation of a line: y = mx + b
y=1/3x+ 5
So, this is the line.
Click here to see answer by misscrt(37) |
Question 117882: In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. Find the equation that relates C and x.
Click here to see answer by josmiceli(19441)  |
Question 117916: solve
4x/2 - 1 = 6x/2 - 4
First simplify the fractional terms by division:
4x/2 =2x
6x/2 =3x
Rewrite the equation:
2x - 1 = 3x - 4
Combine like terms:
First subtract 3x from both sides of the equation
2x-3x -1 = 3x-3x -4
-x-1= -4
Now add 1 to both sides
-x-1+1 = -4+1
-x=-3
Find x by dividing both sides by -1
-x/-1 = -3/-1
x = 3
Click here to see answer by misscrt(37) |
Question 117794: Floor plans for a building have the four corners to a room located at points (2,3), (11,6), (-3,18) and (8,21). Determine whether the side through the
points (2,3) and (11,6) is perpendicular to the side through the points (2,3) and (-3,18).
Click here to see answer by checkley71(8403) |
Question 117997: Find the equation of each line. Write each answer in clope intercept form.
The line is parallel to -3x + 2y = 9 and contains the point (-2,-1).
I got 2y=-3x + 9 which is slope intercept form
answer I got was y= 3/2x + 4 which is incorrect
Click here to see answer by bucky(2189) |
Question 117996: Find the equation of the line that goes through the given point and has the given slope. Write the answer in slope-intrecept form.
(-1,-5),-8
this is what I did
-5y=-8x + -1 I got b= -13 which is incorrect
Click here to see answer by bucky(2189) |
Question 118252: Maximum height:
If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then its height above the earth in feet is given by s(t)=-16t2 + 32t where t is time in seconds. Graph this parabola for 0-
Click here to see answer by stanbon(75887) |
Question 118253: Maximum height. If a soccer ball is kicked straight up from the ground with an initial velocityof 32 feet per second, then its height above the earth in feet is given by s(t)= -16t2 + 32t where t is time in seconds. Graph this parabola for 0 _< t _<2. What is the maximum height reached by the ball?
Click here to see answer by tutorcecilia(2152)  |
Question 118254: Minimizing cost.
A company uses the formula C(x)=0.02x2-3.4x+150 to model the unit cost in dollars for producing x stabilizer bars. For what number of bars is the unit cost at its minimum? What is the unit cost at that level of production.
Click here to see answer by stanbon(75887) |
Question 118258: The stabilization ratio (births/deaths) for south and central america can be modeled by the formula: y= -0.0012x2 + 0.074x + 2.69 where y is the number of births divided by the number of deaths in the year 1950 + x.
a)Use the graph to estimate the year in which the stabilization ratio was at its maximum.
b)Use the formula to find the year in which the stabilization ratio was at its maximum.
c)what was the maximum stabilization ratio from bart (b)?
d)what is the significance of a stabilization ratio of 1?
Click here to see answer by ankor@dixie-net.com(22740)  |
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