e+y dA, A:= triangle with vertices (0;0), (1;0), (1,2);

Q: Evaluate the line integral along the given path(s).

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

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

A: Slope of a line passing through two points x1,y1,x2,y2 is given by Y2-x1x2-x1 Midpoint of two points…

Q: In the diagram below of triangle UVW, X is a midpoint of UV and Y is a midpoint of VWIIF XY = 54 -…

A: Since ,   X & Y are midpointsof UV¯  & VW¯  respectivelythen XY = 12UW

Q: What are the coordinates of the foci in the equation - 4 *5=1? A F1(1,0); F2(-1,0) B F1(3,0);…

A: The given equation is: x25+y24=1                               (1) Equation (1) is compared with the…

Q: Write the equation with rectangular coordina r = 6cose O x?-y? = 6x %3D O x2+y? = 6x %3D O x²+y² =…

A:

Q: The distance, d, between the points (X1, y1) and (x2, y2) in the rectangular coordinate system is d…

A: To find: The distance, d, between the two points (x1, y1) and (x2, y2) in the rectangular cordinate…

Q: Lines e and m are intersected by transversal t. e || m. 1/3 2/4 5/7 6/8 If m23 = 78°, what is ma6?…

A: We can use concept of angle in order to solve the given problem.

Q: Which represents the distance between the point P(x, y) and the origin? A. d= /y2 - x2 В. d =Va² +…

A: We can answer the question as below.

Q: A vertical plane intersects the triangular prism. Which best describes the cross section? C

A: Question said that there is a triangular prism which is intersected by a plane and we have choose a…

Q: Three of the coordinates of a square ABCD are A(3,2) C(1,-2) and D(0,1). What is the y-coordinate of…

A: That's easy. Have a good day!!!

Q: 4) Isosceles trapezoid ABCD has diagonals AC and BD. If AC= 5x+ 13 and BD= 11x-5, what is the value…

A:

Q: surface z? = -x² – y2 + 6.

A:

Q: using green's theorem calculatefx'd +(4x + y ky ,where c is the vertex of the triangle (0,0),(1,2)…

A:

Q: find the value of y such that the points are collinear  (5,5) (-1,y) (2,4)

A: if three points are collinear then it means they cannot form a triangle so the area of triangle in…

Q: 1. Rhombus ABCD with vertices A(-3, -2), B(0, 3), C(5, 6), and D(2, 1): (x, y)- (x+2, y-6)

A: In Rhombus, A=(-3,-2)B=(0,3)C=(5,6)D=(2,1)

Q: Young dribbles the ball according to the rule (x,y) -> (x, y - 10) and then passes the ball…

A: Young dribbles the ball according to the rule (x,y) -> (x, y - 10) and then passes the ball…

Q: Whe comparing a trapezoid and a kite one similarity is that they both have?

A: Query-When comparing a trapezoid and a kite one similarity is that they both have? Answer- A kite is…

Q: The coordinates of the vertex are......................... .

A: Given,

Q: On the coordinate plane, what is the coordinate pair that represents point A?

A: By graph we can see that  Coordinates that represents point A is (-2.5, 2.5)

Q: Sketch the rectangle in the coordinate plane whose vertices are (3, 5), (5, 5), (3, 1), and (5, 1).…

A: We know that,  Area of rectangle = length * Width Perimeter of rectangle = 2(length + width)

Q: Find the point on the sphere x? + y² + z² = 3 farthest from the point (-6, 6, –6). Farthest point is

A: Given equation of the sphere, Given point is (-6, 6, -6). Distance of the point (-6, 6, -6) from…

Q: Determine the value of x and y in the isosceles trapezoid. x + 2 Зу 8 5y - 2 3x + 4

A:

Q: A power cable is to be fitted under a road and can be represented on 3D Cartesian axes as below,…

A:

Q: E 3 D If DF is a Perpendicular Bisector, then line segment must equal 5 units.

A: Given ,  If DF is a Perpendicular Bisector , then line segment ...... must equal 5 units

Q: U and R are the midpoints of the legs, PT and QS, of trapezoid PQST. If PQ = -z + 70, RU = -z + 83,…

A: The solution is given below:

Q: Rhombus MATH has vertices M(-1,2), A(2,3), T(3,0), and H(o,-1). What is the perimeter of rhombus…

A: To calculate the perimeter of the Rhombus MATH.

Q: What is the distance in the standard (x,y) coordinate plane between the points (0,1) and (4,4)? A. 7…

A: Two points (0,1) and (4,4) are given in x,y plane

Q: 1. In a rectangular coordinate system, the point where the x- and y-axes meet is called the

A: Consider the provided information, In a rectangle coordinate system, the point where the x and y…

Q: 4 -5 -4 -3 2-1 -1 1 2 -3 -4 -5 Enter the perimeter of parallelogram ABCD, in units. units D.

A: The figure is given by

Q: Evaluate eリ+1 dA D where D is the triangle with vertices (0,0), (-1, 3), and (6, 2).

A:

Q: Wally modeled a window with FGHJ. For what values of x and y is FGHJ a parallelogram? F= (4y + 7)…

A: Solution:-   Given:-F=4y+7G=8x-15J=6x+7H=5y-18The opposite sides of a parallelogramare congruent .…

Q: 1. Rhombus ABCD with vertices A(-3, -2), B(0, 3) C(5, 6), and D(2, 1): (x, y) → (x + 2, y-6) A'L B'…

A: The given coordinates of rhombus is  A-3,-2, B0,3, C5,6, D2,1 The transformation is x,y→x+2,y-6 So…

Q: The figure is a rhombus. Solve for x and y 23°

A: Properties of Rhombus The opposite sides of a rhombus are parallel. Opposite angles of a rhombus are…

Q: xy dr + x?y° dy, C is the triangle with vertices (0,0), (1,0), and (1, 2).

A: By using green theorem, we calculate the given integral.

Q: 5. Rhombus CDEF with vertices C(-5, 5). D(-1, 7), E(-3, 3). and F(-7, 1): 270° counterclockwise C:…

A: Since you have posted multiple questions so according to our guidelines we will solve only first…

Q: One a teeter-totter, Ole weighs 292# and is 17' from the center. Lena is 15' 8" from the center,…

A:

Q: TQRS is a rhombus, what is the value of x?

A: rhombus bisects each other at 90 degree angle.

Q: calculate S S, y³ dA where Ris the vertex of the triangle (0, 2), ( 1,1) and (3, 2)|

A: In this question we have to calculate the following integral.

Q: In the diagram below, a square is graphed in the coordinate Plane. A reflection over which line does…

A: A shape has reflection symmetry if there exists a line of reflection that carries the shape onto…

Q: B. Find the perimeter of the triangle whose vertices are: 1. A(2,1), B(3, -5) and C(1, -3) 2.…

A: 1. A2,1, B3,-5, C1,-32. P3,0, Q6,4, R-1,3

Q: Classify the figure above as a square, rectangle, or rhombus.

A: Given data: The first given condition is MO=PN. In the given figure opposite sides are equal.…

Q: Give the coordinates of point A. A. OA. (5,2) OB. (2,5) C. (-2,-5) D. (-5,-2) X A

A: To find the coordinates of the given point A in the graph.

Q: In the rhombus mZ1 = 160°. What are m22 and m23? The diagram is not drawn to scale. 1 3

A:

Q: SV is the midsegment of the trapezoid TUWX. If SV = 17 and WX = 20, what is TU? %3D W T. V TU =

A:

Q: 8. Find the mussing side of the triangle. a) x+y 2 b) c) + y² d) x2 -y2 e) x2 + y2

A:

Q: (c) Gwyneth positions a neutral freight ship of height 13 cm directly in the path of the missile at…

A: We are given a   trajectory of a missile as a quadratic equation y= -0. 08x2 + 2.15 x+0.38 Where y…

Q: (c) How do you tell if two planes are parallel?

A:

Q: V and Y are the midpoints of the legs, UW and TX, of trapezoid TUWX. If VY = 59 and TU = 78, what is…

A:

Q: TT What points in satisfy the equations r= 2, 0=? %3D 4

A:

Q: A rhombus has diagonals 6 and 8. What is its area?a. 12 b. 24 c. 36 d.48

A: Given that, a rhombus has diagonals d1 = 6 and d2  = 8 To find the area of rhombus Area of the…

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.