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Question 67838: Determine the point A9x, y) so that the points A(x,y), B(0,3), C(1,0), D(7,2) will be the vertices of a parallelogram.
Find the point on the positive y-axis that is a distance 5 from the point P(3,4).
Find the x-intercept and y-intercept of the equation 5x-3y=30.
Give the equation for the circle with center C(3,-2) and radius 4.
Find an equation for the line with slope 1/2 and y-intercept 3.
Find an equation for the line with y-intercept 3 that is perpendicular to the line y=2/3x -4.
Studying for final exam and need feedback on these questions from quiz's.
Thanks...
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Determine the point A(x, y) so that the points A(x,y), B(0,3), C(1,0), D(7,2) will be the vertices of a parallelogram.
Plot the given points. Then you will see that A is at the intersection
of a line thru D that is prallel to line BC and a line thru B parallel to
line CD.
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Find the point on the positive y-axis that is a distance 5 from the point P(3,4).
Let the point be (0,y)
Use the distance formula to get 5=sqrt(4-y)^2+(3-0)^2}
solve for y
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Find the x-intercept and y-intercept of the equation 5x-3y=30.
Let x=0 to get the y intercept.
Let y=0 to get the x intercept.
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Give the equation for the circle with center C(3,-2) and radius 4.
The general form of a circle is (x-h)^2+(y-k)(^2=r^2 where (h,k) is
the center and r is the radius.
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Find an equation for the line with slope 1/2 and y-intercept 3.
y=(1/2)x+3
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Find an equation for the line with y-intercept 3 that is perpendicular to the line y=2/3x -4.
Given line has slope=(2/3); perpendicular line must have slope (-3/2)
y=(-3/2)x+3
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Studying for final exam and need feedback on these questions from quiz's.
Thanks...
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If you need further help let me know.
Cheers,
Stan H.
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