9. Quadrilateral ABCD with vertices A(-2,0), B(0,4), C(5,5), and D(8,2) will be graphed in the standard (x,y) coordinate plane below. y

Q: 1. If (0, 0), (3, 0) and (x, y) are the vertices of an equilateral triangle, find x and y.

A:

Q: Prove that quadrilateral PLUS with the vertices P(2,1), L(6,3), U(5,5), and S(1,3) is a rectangle.

A: 1) Opposite sides are equal , 2) The diagonals of a rectangle are equal.  Distance formula of point…

Q: what are the coordinates of the point on the directed line segment from (-6,-1) to (6,-9) that…

A:

Q: 7) Show that the triangle whose vertices are the points (1, 2, -1), (2, 3, 5) and (2, 1, 3) is/isn't…

A: Here we have to show that the triangle whose vertices are the points (1,2,-1), (2,3,5) and (2,1,3)…

Q: 1. quadrilateral TUVW with vertices T(-3, -8), U(-6, 3), V(0, 3), and W(3, 0); translate by (4, 5)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Prove that quadrilateral PLUS with the vertices P(2,1), L(6,3), U(5,5), and S(1,3) is a rectangle.…

A:

Q: PQR has vertices P (-2,8), Q (2, 4) and R (7,9). Select the description of PQR that is accurate.

A:

Q: What are the coordinates of the point on the directed line segment from (-4,-9) to (1,1) that…

A: This question is related to line. We will solve this question by using section formula.

Q: 6. Show that the diagonals of the square with the given vertices are congruent perpendicular…

A: The formula for the midpoints of (x1,y1) and (x2,y2) is x2+x12,  y2+y12 and the formula for the…

Q: What is the vertex of y = Vx + 4+1 O (4, -1) O (4, 1) O (-4, 1) O (-4, -1)

A:

Q: What are the coordinates of the point on the directed line segment from (-1, -9) to (2, 6) that…

A: Use the section formula and simplify.

Q: Find b and c so that y = – 5z² + bz + c has vertex (9, 1). c =

A: The given equation y=-5x2+bx+c has a vertex at (9, 1). The given equation is an equation of a…

Q: 10. Prove that quadrilateral A(1,-2), B(13,4), C(6,8) and D(-2,4) is a trapezoid, but is NOT an…

A:

Q: Find b and c so that y 9x2 + bx + c has vertex (– 10, – 5). || - - b = C = ||

A: Given y=-9x2+bx+c and vertex(-10,-5) We have to find b ,c

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: What are the coordinates of the point on the directed line segment from (-6,-6) to (9,-1) that…

A:

Q: Show that A(-3, 1), B(1, -1), C(4, 1), and D(3, 5) are vertices of a trapezoid.

A: Given vertices are A-3,1, B1,-1, C4,1 and D3,5. To show the vertices are of a trapezoid. Solution:…

Q: Is Span({(4,–10, 6), (-6, 15,–9)}) a line or a plane in R³? Why?

A:

Q: What are the coordinates of the point on the directed line segment from (-8,-2) to (6, 2) that…

A:

Q: 2. Show that the points A(2,2,2), B(2,0,1), C(4, 1, – 1) and D(4, 3,0) are coplanar and that they…

A: The solution are next step

Q: Show that the points (−1, 0), (3, 0), (1, 2), and (1, −2) are vertices of a square.

A: Let us consider A(-1,0) , B(3,0), C(1,2) and D(1,-2) To verify ABCD as a square We need to verify if…

Q: Show that the quadrilateral with the given vertices is a trapezoid. Then decide whether it is…

A:

Q: 1)calculate xy dady Where D is a triangle with vertices (0,0), (5,0) and (5,5) tip:Don't use the…

A:

Q: 7. Reflect parallelogram RSTU with vertices R(-2, 3), S(2, 4), T(2,-3), U(-2,–4) in the line y = -x.…

A: Reflection in Y axis  : (x , y ) → (-x , - y )

Q: Graph the image of square ABCD after a reflection across the y-axis. 10 4 2. -10 -8- -4 0. 4. 6. 8.…

A:

Q: Find the eu. f line through the Pont (-2,3,4) and Parallel to e Planes: 2x +3y +42-5, 3X+4y+52 - 6…

A:

Q: What are the coordinates of the point on the directed line segment from (-9, –2) to (9, –6) that…

A: If a line segment, joined by x1,y1 and x2,y2, is internally divide by a point Qa,b in m:n ratio,…

Q: 10 11 3 vertices at a parallelograni AaCD are shown in the appiet What are the coordinates of point…

A:

Q: 6. Prove that quadrilateral LEAP with the vertices L(-3,1), E(2,6), A(9,5) and P(4,0) is a…

A:

Q: :Prove that (4,-1).(6,0).(7,2)and (5,1) are the vertices of a rhombus.Is it a square?

A: In a square the sides are perpendicular but in a rhombus they need not be. All sides are of equal…

Q: 2 Prove that a quadrilateral with the vertices A(-2,3), B(2,6), C(7,6) and D(3,3) is a rhombus. IB

A:

Q: 4. The cocrdinates of the vertices of a triangle are M (-1, -3), A(7.5), ond Y (7. -2). What is the…

A:

Q: If c>+, how many lines through the point (0, c) are normal lines to the parabola y = 3x2? normal…

A:

Q: What are the coordinates of the point on the directed line segment from (-10,-5) to (5,1) that…

A:

Q: 3. Given a line and a plane in three dimensional space, what are all the possible ways they can…

A: The Answer is given below in a picture(handwritten) format.

Q: Prove that quadrilateral DAVE with the vertices D(2,1), A(6,-2), V(10,1), and E(6,4) is a mbus. Yt…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 3. Mr. Cruz would like to buy a lot however, his broker gave the dimension of the lot using the…

A: The area of a quadrilateral when 4 of its vertices in counter-clockwise direction0 is:…

Q: The triangle with vertices A(0, 1, 2), B(-1,0,2) and C(1,-2,0) has area = (ii)

A: A(0,1,2) B(-1,0,2) C(1,-2,0)

Q: 14. How many straight lines can be formed by joining 12 points on a plane out of which no points are…

A:

Q: Prove analytically that in any triangle the perpendiculars drawn from the vertices upon the opposite…

A: Given-  the perpendiculars drawn from the vertices upon the opposite sides. To prove-the altitudes…

Q: 2. Show that diagonals of quadrilateral CUTE are congruent for C(5,-1), U(9,-1), T(9,0) and E(5,0).…

A:

Q: Show that quadrilateral RSTV with vertices R(- 5, - 3), S(1, – 11), T(7, -6), and V(1, 2) is a…

A: Solution: Consider the given that RSTV has vertices R(-5, -3) , S(1, -11), T(7, -6), and V(1, 2)…

Q: 1. Prove analytically that the lines joining the midpoints of the adjacent sides of the…

A:

Q: If c > 5, how many lines through the point (0, c) are normal 29 lines to the parabola y = x²? What…

A:

Q: 2. Find the area of the parallelogram whose vertices are given by: P: (1,2, –1), P2 = (4, 2, -3), P3…

A:

Q: 8 If the shaded square has center at C and an area of A, find C and A. 'y-axis C• (-4, 0) (0, 0)…

A:

Q: Prove that a quadrilateral with vertices J(2,-1), K(-1,-4), L(-4,-1) and M(-1, 2) is a square. 10 4…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: What are the coordinates of the point on the directed line segment from (–10, –1) to (10,-6) that…

A: If a point on the directed line segment from (x1, y1) to (x2, y2) partitions the segment into a…

Q: 2. AQRS with vertices Q(2, 5), R(7, 1), and S(-1, 2); translate by (-1, -2)

A: To find the coordinate of translate image we add vector and coordinate of original image.

Q: What are the coordinates of the point on the directed line segment from (-1,-10) to (7,6) that…

A: To find the coordinates point.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.