Given the equation that describes a quadratic function is "-*-2)' + 27 a) the vertex b) the domain and range c) the direction of the opening d) the equation of the axis of symmetry e) the x and y intercepts

Q: 15. Can you prove this quadrilateral is a parallelogram? 4

A: Given:     Properties of parallelogram: If a quadrilateral having opposite side and opposite angles…

Q: Find all points having an x-coordinate of 3 whose distance from the point (-2,1)is 13 (a) By using…

A: (a) By using the Pythagorean Theorem (see graph below)   Let (-2,1) denote the coordinates of the…

Q: Describe a method for determining whether four points P, Q , R , and S lie in the same plane?

A: We will show a method for determining whether four points P,Q,R and S lie in the same plane.

Q: Find the midpoint of the sides of the quadrilateral LOVE with vertices L(-3, -2), O (0, 6), V(4, 4),…

A:

Q: B. Constructing a parallel through a point (rhombus method) Given: PQ and point K

A: Steps:  1) Place the compasses on point K and set its width to a little more than the distance to…

Q: 14a. Show that quadrilateral ABCD is a parallelogram Given A(2, 0) * B * (3, 4) , C(- 2, 6) and D(-…

A: Explanation of the solution is given below...

Q: Use slopes and the distance formula to show that the quadrilateral whose vertices are (0,0),(1,3)…

A: Let the given quadrilateral be ABCD The vertices of the given quadrilateral are…

Q: Point E has the same y-coordinate as point D, but the x-coordinate of point E is the opposite of the…

A: We will solve the following

Q: If two vertices of an equilateral triangle are at (0, 0) and (2a, 0), what point is the third…

A: The given diagram is, Since, ∆ABC is equilateral triangle. AB=BC=AC. ⇒AB2=BC2=AC2 Suppose point A…

Q: Two sides of a triangle have lengths 6 and 8. The length of the third side must be greater than…

A: Two sides of a triangle have lengths 6 and 8. The length of the third side must be greater than…

Q: The diagonals of parallelogram ABCD intersect at P. Which statements must be true?

A:

Q: 2.) %3 %23 a.) Give the most specific name for the quadrilateral b.) How do you know? What…

A: A polygon with four sides is a quadrilateral. There are different kinds of quadrilaterals. Each…

Q: Show that (km) is the number of paths in a square grid from (0,0) to the point (m,n) on the diagonal…

A:

Q: Create a two-way tunnel parabolic tunnel, given the dimensions, 16 feet by 34 feet, in standard and…

A: X is half of traffic width , 34 - 58 feet is 17 to 29 feet now we will allowable vehicle height as…

Q: do the points (-1,1) , (-3,5), and (0,8) form a tight triangle ?

A: We can check if the triangle formed by A, B, C is right triangle by two methods: 1) By checking if…

Q: Prove that a quadrilateral with vertices J(2,-1), K(-1,-4), L(-4,-1), and M(-1,2) is a square.

A: We have to prove that the quadrilateral given is a Square

Q: The endpoints of one side of a regular pentagon are (-1, 4) and (2, 3). What is the perimeter of the…

A: Given,         The endpoints of one side of a regular pentagon are -1,4 and 2,3.

Q: Find the equation of the perpendicular bisector of side of the triangle having vertices A…

A: The triangle has vertices A (-1,-3),B(5,-3) and C(5,5) so to find the perpendicular bisectors let D,…

Q: What is the area of the triangle whose vertices are A(-1,2), B(3,-2),C(4,5)?

A:

Q: find the circumcenter of the triangle whose vertices are (1 3) (0 -2) (-3 1)

A:

Q: Which description does NOT guarantee that a quadrilateral is a square?

A: Lets go through the  properties of square :->A square is a parallelogram with all sides equal to…

Q: Solve the right triangle with hypotenuse 28 and one of the acute ngles 42°.

A:

Q: In Cartesian space, the point (0,6,0) lies 6 units above the origin. Select one: True False

A: We have to find the point location

Q: A right triangle has legs of lengths x and 2x + 2 and a hypotenuse of length 2x + 3. What are the…

A: Given, a right triangle has legs of length x and 2x+2 and hypotenuse of length 2x+3

Q: At the center of the lobby of a hotel is an artificial pond in the shape of an octagon serving as an…

A: Given:

Q: Two vertices of an equilateral triangle are located at (2,0) and (-2,-3). What is the triangle's…

A: Distance between A(x1, y1) and B(x2, y2) is given by distance formula, AB =√((x2 - x1)² + (y2 - y1)²

Q: Use an algebraic proof to show that the points A(-3, 1), B(0, 4), C(0, 2), and D(-3, -1) form a…

A:

Q: 5. А to an equation in the variables x and y is an ordered pair (x, y) that makes the equation a…

A: To fill: The blank of he statement. Given: The statement is "A ________ to an equation in the…

Q: Give two examples of a real-world object that is in the shape of a prism.

A: In this question we have to give two examples of a real world object that is in the shape of the…

Q: 11. Can you prove this quadrilateral is a parallelogram? K

A: No, this quadrilateral can not be proved to be parallelogram due to insufficient condition.

Q: 10. Quadrilateral ABCD with vertices A(-4, -1) B(0, -2), C(-1, -6), and (-6, -3) in the y-axis. A'(…

A:

Q: Let the vertices of parallelogram MNPQ be the points M(0,0), N(a,0), P(a+b,c), and Q(b,c). Which…

A: Consider a parallelogram MNPQ with vertices  M(0,0), N(a,0), P(a+b,c), and Q(b,c)

Q: In the context of hyperbolic geometry, show that the segment joining the midpoints of two sides of a…

A: Given below clear explanation

Q: 7. The diagonals of Parallelogram ABCD intersect at point X, the mAX is 152.

A:

Q: (b) For which quadrilaterals do the diagonals bisect each other and have the same length?

A: Quadrilateral: A quadrilateral is a shape with four sides. Examples of quadrilateral are: Square,…

Q: What are the coordinates of the top point of an equilateral triangle if the corners of its base are…

A:

Q: In Exercises 9–11, find any intercepts and test for symmetry. The sketch the graphof the equation.9.…

A: (9) Given- y=4x-3 To find-  An intercepts and test for symmetry. The sketch the graph of the…

Q: 16) Can you prove that the quadrilateral is a parallelogram based on the given information?Explain.

A:

Q: Use the side-splitter theorem to solve for a in the triangle below. 2 22

A: Given triangle is : To find the value of x

Q: 3. What are the three possibilities for the intersection of a line and a plane?

A: The solution is given in the next step.

Q: a. A wheelchair ramp with a length of 122 inches has a horizontal distance of120 inches. What is the…

A: Consider x is the vertical distance, and horizontal distance is given 120 inches. and the ramp with…

Q: A triangle of area 24 sq.units is formed by a straight line and the coordinate axes in the first…

A:

Q: For any cyclic quadrilateral, the product of the diagonals equals the sum of the products of the…

A: Here we have to determine the name of the theorem. The given theorem is: For any cyclic…

Q: a rectangular parallelipiped whose length is 4m and 5m and the altitude is 6m.What is the are of the…

A:

Q: Prove that the midpoint of the hypotenuse of any right triangle is equidistant from the vertices.…

A: To solve the given problem

Q: Describe a method for determining whether four points P , Q , R , and S , lie in the same plane

A: We know that if some points lie on the same plane, then their slope would be same.

Q: 3. A quadrilateral has four sides. If-then form:

A: The given statement is: "A quadrilateral has four sides" An geometric object is defined as…

Q: Construct three parallel lines so that the middle line is not equidistant fromthe other two. Then…

A: Let the three parallel lines be l, m, n and the equilateral triangle be ABC.

Q: The points A(0,0),B(0,5)and C(12,0) are the vertices of a right triangle with 13 units as its…

A: A triangle in which one of the interior angles is 90 degree is called a right triangle. The longest…

Q: At the center of the lobby of a hotel is an artificial pond in the shape of an octagon serving as an…

A: Given that there is an artificial pond in the shape of an octagon. Also given that the distance…