c. Find the coordinates of the foci. d. Graph the ellipse. Label the center and foci. Answer: a) Given equation of ellipse. On comparing this equation with standard equation of ellipse with centre (h,k) which is given by x-h2a2+y-k2b2=1 , we have , h = 3 and k = -5.
Pick any three problems and find the difference. a. x2 –144 b. 64x2 –81 c. 36x2 –49y2 d. x4 –1 e. 81x4 –1 4. Factor a perfect square trinomial. Pick any two problems and factor each perfect square trinomial.
So the radian is the measure of how close a degree is to a complete circle. * How do special right triangles directly relate to the unit circle? There are two types of special right triangle, 90, 60, 30 and 45, 45, 90. With both triangles, the angles of degrees are directly related to the x and y values on the unit circle. With the case of 90, 60, 30 and 90, 45, 45, the angles are relative to the sin of its value on the unit circle.
1.explain what a radian measure represents using the unit circle as a reference. -A radian measure on a unit circle is the measure of the length of the arc at certain points on the unit circle. 2.how do special right triangles directly relate to a unit circle. -On the unit circle the radius of the circle is also the hypotenuse. therefore if you set the hypotenuse to be a value such as 1. the side (x,y) of the triangle will be the sine and cosine values on the unit circle.
Set up the matrix equation to solve this system. 2. Given the inequality y < x2 + 2x – 3, is the point (0, -3) part of the solution? Name a point that is part of the solution and one that is not. 3.
Three identical point charges, Q, are placed at the vertices of an equilateral triangle as shown in the figure. The length of each side of the triangle is d. Determine the magnitude and direction of the total electrostatic force on the charge at the top of the triangle. 36. What is the magnitude of the electric field due to a 4.0 ×10−9 C charge at a point 0.020 m away? 49.
The most common verbs in algebra are = ( is equal to ), < ( is less than ), > ( is greater than ), ≤ ( is less than or equal to ), ≥ ( is greater that or equal to ), ≠ ( is not equal to ), and ≈ ( is approximately equal to ). Some algebraic sentences are A = π r ^ 2, a + b = b + a, and 3x + 9 < 22. Algebra is the study of expressions , sentences, and other relations involving variables. Because many expressions and sentences are based on patterns in arithmetic, algebra sometimes is called generalized arithmetic. Writing Expressions and Sentences From your earlier study of algebra, you should know how to write expressions and sentences describing real situations, and how to evaluate expressions or sentences.
A circumscribed circle touches each vertex of the triangle. There are also things called the incenter and the circumcenter. The incenter is the center of the inscribed circle and the circumcenter is the center of a circumscribed circle. The relation between a circle and a triangle is that
It is a mathematical model for the data. 2. It is the line that makes the sum of the squares of the residuals as small as possible. 3. The point x-y is on the line, where x is the mean of the x values, and y is the mean of the y values.
They also used native copper, silver and gold for metalworking, in which they used very advanced methods. The period between 250 CE and 650 CE was a time of intense flourishing of Maya civilized accomplishments. While the many Mayans city-states never achieved political unity on the order of the central Mexican civilizations, they exerted a tremendous intellectual influence upon Mexico and Central America. The Mayans built some of the most elaborate cities on the continent, and made innovations in mathematics, astronomy, and calendrics. The Mayans also evolved the only true writing system native to the Americas using pictographs and syllabic elements in the form of texts and codices inscribed on stone, pottery, wood, or highly perishable books made from bark paper.