find the standard equation center is at (2,4) vertical major axis length is 20 units minor axis length is 12 units

Q: Near a buoy, the depth of a lake at the point with the coordinates (x, y) is z = 200 +0.02x²…

A: Consider the provided information, The boats moves 0,0. And, the direction is v=0-80i+0-60j. Now, we…

Q: Solve for x . 2x²+7x+5=(x+1)? If there is more than one solution, separate them with commas. x =…

A: Given

Q: | ANALYZE AND SKETCH -4 a) Y=- (X+1)(X²-9) x² b) Y= х4-6х+8

A:

Q: Line L is perpendicular to the line 6z – y = 7 and passes through the point (0, 6). Line M is…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: You are building a right-angled triangular flower garden along a stream as shown in the figure. (The…

A:

Q: Suppose you go up a hill whose shape is given by the equation z = 1000 - 0.005x2 - 0.01y2, where x,…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 5 units long.…

A: Area of a right-angled triangle is,

Q: Points X and Z are on a number line, and point Y partitions XZ into two parts so that the ratio of…

A: The coordinate of Z is 7.3. Given: the ratio of the length of the line segment XY to the length of…

Q: Find the coordinates of all points whose distance from (-1,- 1) is 5 and whose distance from (2,- 2)…

A: Co ordinates of points whose distance from (-1,-1) is √5 will be on the circle with center (-1,-1)…

Q: rectangle has a perimeter of 28 inches and a length of 8 inches.  What is the diagonal measurement…

A: First of all you will find the width of the rectangle by using the perimeter formula. And then you…

Q: Suppose you are climbing a hill whose shape is given by the equation z = 1000 - 0.005x - 0.01y4,…

A:

Q: A long piece of pipe (of negligible diameter) is being carried down a hallway that is 10 feet wide.…

A: The maximum value of a function occurs at a point where the first derivative of the function is…

Q: What are the x,y coordinates of the lowest point of the valley and what is the elevation at that…

A: Given, fx,y=-2000+0.004x-10002+0.001y+10002. It has been asked to find the lowest point of the…

Q: I have purchased 600 linear feet of fence to enclose my backyard. Using the back edge of my house as…

A: To find the area

Q: You are building a right-angled triangular flower garden along a stream as shown in the figure. (The…

A:

Q: A ladder leans stains  a wall so the base of the ladder is 5 feet from the wall. If the verticle…

A:

Q: ndicular bisector of AC. If AB 5x-5 and BC =10x-15, solve for x.

A: Perpendicular bisector passes through mid point of line segment

Q: find the equation in the form:y zab th lexponential). > points: (0,83), (30, 63) and (70,47)

A:

Q: The distance between two points is 6/5. One endpoint is (4, –3). It is known that the y-coordinate…

A: Let the given points be A(4, -3) and B(x, 7).  Distance between them is given AB=65

Q: Endpoint of (1,0) and midpoint of (3 3/2), find the end coordinate point of the other endpoint

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Q: Find the intersection of the line r(t) = (1,0 t(4, 12, 2) and the plane x – z = b. (Give your answer…

A: Given equation of line and plane now we have to find the point of intersection of line and plane as…

Q: Repeat part (a) using left endpoints. L3 =   L6 =   Sketch the curve and the approximating…

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Q: Given the equation (z+2) + (y- 15) - 144, identify the center and radius. Do not enter any spaces…

A: Given circle equation is (x+2)2+(y-15)2=144  We know the standard form of circle equation is…

Q: 2x+24- = 0 2y-6 = 0 X = -4y + 6 %3D

A: Topic- simplification by substitution

Q: One endpoint of a line segment has coordinates represented by (x + 2, y). The midpoint of the line…

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Q: d) At what angle above the horizontal does the trajectory begin in that direction?

A: Given: Suppose you go up a hill whose shape is given by the equationz = 1000 - 0.005x2 - 0.01y2,…

Q: Find the center and the radius. (x - 2)^2 + (y - 5)^2 = 100

A:

Q: The planes 3x + 6z = 1 and 2x + 2y - z = 3 intersect in a line. Find equations for the line of…

A: Given equation of planes - 3x+6z = 1                ........................(1)2x+2y-z = 3…

Q: eflect the triangle over the line with the rule (x,y)→(y,x) -8- 4- -8 -4 4 --4-

A:

Q: Near a buoy, the depth of a lake at the point with the coordinates (x,y) is z=200+0.02x2-0.0001y3 ,…

A: Given depth is given by z=200+0.02x2-0.0001y3 First depth at (80,60)  z=200+0.02(80)2-0.0001(60)3 z=…

Q: One endpoint of a line segment has coordinates represented by (r+6, y). The midpoint of the line…

A:

Q: A particular cellphone tower is designed to a service of 10 km radius. The tower is located (-4,6)…

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Q: An airplane leaves City A and flies for 4 hours and 45 minutes at a speed of 800 km/hour in an…

A:

Q: Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​…

A: This question is based on mid-point formula.

Q: Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​…

A:

Q: what it the ends of the latus rectum and axis of symmetry of y2-4y-2x-4=0? show solution

A: The given curve is: y2-4y-2x-4=0

Q: distance between (0, 0) and (½a, ½a√3)

A:

Q: Find a point on x-axis which is equidistance from A (2,-5) and B(- 2,9).

A: Topic:- geometry

Q: The coordinates of the center of a circle is (x,7) and it passes through (9,2). What are the…

A:

Q: Suppose you start at the origin, move along the x-axis a distance of 7 units in the positive…

A: Given: Starting from origin, movement of 7 units in positive x-axis. Movement of 8 units downward…

Q: Solve the equation If there are two answers separate them with a comma like 5,12 (no spaces). Make…

A:

Q: Find an equation that says that P = (x, y) is equidistant from both point F = (2,0) and the y -…

A: Let the point P be (a,b) Let us assume a point on y-axis as Q = 0,y1

Q: 3. Find the coordinates of the point which is two-thirds of the way from the point (5,1) to the…

A: Two points are given as A(5, 1) and B(-2, 9).  We have to find the point on the segment AB which is…

Q: 18x, x=2, AOR = X-AXIS

A: Topic:- application of integration

Q: Find a (real) general solution. State which rule you are using. Show each step of your work. 1. у" +…

A: The differential equation is given as y''+5y'+4y=10e-3x Corresponding homogeneous differential…

Q: Make sure to define the variables that you will use in the solution and don’t forget to label or put…

A: The area of a rectangle is  Area= Length×width Required steps: Step 1: Make the area function A(x)…