Move all of the terms except 17 to the left side, grouping the terms in x together and the terms in y together.srv96 said:Homework Statement
I have no idea how to figure this out. Please help!:)
Complete the square to find the center and radius of the circle:
(equation of a circle:(x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center and r is the radius)
y^2+12y=17-x^2+2x
No, that's not completing the square. Check your textbook again (if you have one). Or, here's an online lesson:srv96 said:After completeing the square, I ended up with
y(y+12)+x(x-2)=17
Would the extra y's and x's cancel out and would the answer just become
(x-2)^2 + y(y+12)^2=square root of 17
and thanks for the previous help:)
Trigonometry is a branch of mathematics that focuses on the study of triangles and their properties. Algebra II, on the other hand, is a branch of mathematics that deals with the manipulation and solving of equations and inequalities. While both subjects use similar algebraic concepts, trigonometry specifically deals with triangles and their relationships, while algebra II covers a wider range of mathematical topics.
Trigonometry has many real-world applications, such as in engineering, architecture, navigation, and physics. For example, it is used to calculate distances and angles in surveying and construction, to design structures and machines, and to model and analyze the motion of objects.
The basic trigonometric functions are sine, cosine, and tangent. These functions relate the angles of a right triangle to the lengths of its sides. Other important trigonometric functions include cosecant, secant, and cotangent, which are the reciprocals of sine, cosine, and tangent, respectively.
Trigonometry is an essential tool in the study of calculus. It is used to find derivatives and integrals of trigonometric functions, to solve problems involving trigonometric equations and identities, and to graph and analyze trigonometric functions.
One common misconception about trigonometry is that it is only used in mathematics and has no practical applications. As mentioned earlier, trigonometry has many real-world applications and is used in various fields. Another misconception is that it is a difficult and confusing subject. While it may seem complex at first, with practice and understanding of its concepts, trigonometry can become much more manageable.