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geometry2 Questions and Answers
Find the missing coordinate Given the points A(2,-2) B(1,1) C(1,4) D(x,5) find the missing coordinate if the segments AB and CD are parallel.
Explain why a triangle cannot have more than one obtuse angle.
What is the value of constant k if the perpendicular bisector of the segment with endpoints (k,0) and (4,6) has slope of -3?
Find the equation of a straight line passing through (-3;2) and(5;8) and calculate its gradient.
Tangent. Find the equation of the tangent to the curve y = x^3 - 7x^2 + 14x - 8 at the point where x=1.
What is the product of the coordinates (h,k) of the center of the circle A circle is tangent to the y axis and has aradius of three units. The center of the circle is in the third quadrant and lies on the graph y-2x=0 What is the product of the coordinates (h,k) of the center of the circle.
Rectangles. The perimeter of a rectangle is 7 times its width. What are its sides if the area is 40 ?
vectors Find the vector v if u*v=15, w*v=17, u=5i+2j, w=i-j.
Circle equation Given the circle center (1,1) and the point on the circle (3,5) what is the equation of the circle.
Triangles Determine the perimeter of triangle ABC if AB=6, B=pi/4, C=pi/6.
Square problem. Find the length of the side of a square if it's area is 60 more than its perimeter.
Find the value of m if the perpendicular bisector of the line that passes through the point (6,8) and (m,2) has slope -2.
Find the slope of the line that is perpendicular to the line that passes through the points (1,3) and (2,6)?
Square problem Find the length of the side of a square if it's area is 60 more than its perimeter.
The vertices of triangle ABC are A(1,2), B(7,3), C(5,7). Find the midpoint of side BC.
What is the slope of the linear function if f(2)=-6 and f(-2)=4 ?
Find the average gradient between the points (t;f(t)) and (t+h;f(t+h)) on the curve f(x)=x^2.
What type of quadrilateral is the one that has the vertices A(-5,4), B(3,5), C(7,-2) ,D(-1,-3)?
Given the vertices of triangle ABC, A(1,2), B(2,3), C(2,-5), determine the median AE?
The point (3,y) lies on the segment with endpoints (3,1); (7,-5). What is y?
Geometry If the hypothenuse of right triangle of 26 cm long and one cathetus 14 cm longer than the other , find the lengths of the legs of triangle.
Slope of the line . Calculate the slope of the line that passes through the point (p;q) and (p-4;q+4) .
Slopes. Calculate the slope of the line that has the equation 4x+2y=12 .
Points Determine the distance between the point ( 2x+3, 8) and the point (2x, 4).
Dimensions of rectangle if i know the vertices of rectangle , could i determine it's dimensions ?
Explain why the point A(7;2) does not lie on the circle x^2+y^2-16=0 .
equation of the circle Find the equation of the circle of radius 3 and center at the origin.
Equation of the line I don't know how to determine the equation of a line wich passes through a point and its parallel to another line . Please give an example.
find the equation of a circle through (0,5),(3,4), touching the line y+5=0.
What is the standard equation of the circle that passes through the points (-2,4),(3,-1),(6,8)?
Lines I want to determine the point that is on 2 lines f(x)= 2x - 1 and g(x)= -4x + 1
Determine hypotenuse of right triangle if its area is 6 cm^2 and perimeter is 12 cm?
Given the points A(-2,5) and B(4,7)determine the middle point of AB.