Answer:
1.Your answer would be, For example, the Triangular section of a lawn is named ABC, The sides are name ABC, respectively as the opposite of the angles, with the similar letters. Like Side A is opposite angle (a). The missing side length is B, To get this, Maurice, used the Law of Cosines. In order to use this, Maurice need to have two sides, and angle between them, that is given to solve for the missing lengths, which is Sides A, and C, and an angle B. Johanna used the Law of Sines, in which, she need two angles, and an opposite sides, that should be given to find the missing Length, which is Angle B, and C, and Side C. So, Since both Laws use the remaining were given, The use of both, will result in a similar measurements.
2.draw a perpendicular line from the directrix passing through the focus, this will be the line of symmetry. The vertex(h, k) will be located on the line half way between the focus and directrix. The distance from the focus to the vertex is called the focal length, call it a. The then equation is (x - h)^2 = 4a(y - k) the equation can be manipulated to y = 1/4a(x - h)^2+ k.
4. We choose a fish pond of radius 3 centered at (x, y) = (0, 3). The equation of the circle is ...
(x -0)^2 +(y -3)^2 = 3^2
x^2 +(y -3)^2 = 9
At this location it is easy to draw a radius along the y-axis to a point of tangency at the origin. That radius is a vertical line, so the tangent line will be perpendicular--a horizontal line.
A horizontal line through the origin has equation y = 0, and its point of intersection with this circle is (0, 0).
Hope this helps you!!
Mark brainleast!!
