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ABCD is a quadrilateral with coordinates A (-5,2), B (6,2), C (1,-5), and D (-2,-3). Find the verticals of A'B'C'D under the translation (X+3,y - 6).


what is the equation of a circle passing through (6,2) and tangent to the line x-4y-15=0 at (3,-3)




A single-lane street 10 ft wide goes through a semicircular tunnel with radius 9 ft. How high is the tunnel at the edge of each lane? Roun off to 2 decimal places.

Find the equation of the line tangent to the circle with the center at (-1,1) and point of tangency at (-1,3).

Show that if B>0, then the graph of x²+Bxy=F, is a hyperbola if F≠0, and two intersecting lines if F=0.

1. Solve for the area in square units of the right triangle with vertices F(0,7),U(2,-3),N(7,-2)




2. Find the area in square units of a rectangle whose vertices are L(0,6),O(2,-2),V(-2,-3),E(-4,5)






what is the equation of a circle passing through (6,2) and tangent to the line x-4y-15=0 at (3,-3)


Find the equation of a line that passes through the point (2,1) and has a gradient of 2.

Leave your answer in the form y

=

m

x

+

c



With respect to the bar of chocolate, where is their center of mass?

The initial x-coordinates of James and Ramon are -10.0 m and +10.0 m respectively,

so the x-coordinate of the center of mass is:

Formula:

Solution:

Final Answer


Change the following point from rectangular to polar coordinate


‐ Square root of 3,2



Ii.change the following point from polar to rectangular coordinate



(3/2, n/12)


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