a) The slope of certain curve at any point is the same as the square of the abscissa itself. If the curve passes through (4, 25) find its equation.

Q: A straight trail with a uniform inclination of 12" leads from a lodge at an elevation of 1000 feet…

A: This question can be solved using the concept of trigonometry.

Q: A point on the a-axis that is equidistant from the points (9, – 6) |(- 8, 6) is and

A: the given points are .................first point .................second point now the third point…

Q: A circle passes through the point (6, 2). If segments of the straight lines x + y = 6 and x + 2y = 4…

A: We can find the radius as below.

Q: 1. Line c has an equation of y through (-6,4). What is the equation of linc d 2. Line d is parallel…

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Q: 12) Find the equation of line that make angle 30° with y-axis and passes through (1, 2)

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Q: 1. Find the equation of a line that passes through the point (3,5) and is a. parallel to the line…

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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: If slope of the line passes through the points K (x1, (5+6) and H (x2, -1)is and the midpoint…

A: Given that the line passes through K(x1,5+6) and H(x2,-1).That is,K(x111)and H(x2,-1).The slope is…

Q: 3. If the slope of one of the pairs of lines represented by equation a³x² + 2hxy + b³y² = 0 is…

A:

Q: Make an equation of a line, each point M of which satisfies the given conditions:Spaced from the…

A: To make an equation of a line for which each point M of line satisfies the below condition. Spaced…

Q: The equation of the line tangnet to the graph of 24e^x at x=2?

A: Find the derivative of the given function.

Q: If point A has coordinates (0, 5) and point B is southeast of it in the first quadrant with a slope…

A:

Q: The problem of finding the perpendicular bisector of a line segment presents itself often in the…

A: "Since you have posted a question with multiple subparts we will solve the first three subparts for…

Q: 1. Find the point on the line 1 - a that is closest to the origin.

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Q: Find the midpoint of points A(-9,7) and B(1, 10) graphically.

A: We will use section formula to find solution to the problem .

Q: Find all points having a y-coordinate of - 3 whose distance from the point   (1, 2) is 13.

A: Consider the points are A = (x,-3) and B=(1,2) The distance between A and B is 13 units.   If the…

Q: If a four sided figure is drawn on a coordinate plane and just one pair of adjacent sides has the…

A:

Q: A line has slope and passes through the point (a, b). Which of the following is not a point on l?

A:

Q: 5. A wheelchair ramp is being built for entrance to a portable classroom. If the ramp has a slope of…

A: Consider the following diagram:

Q: Suppose that P is twice as far from (0, 0) as P is from (6, 0 Find such a point on the x-axis.

A: Let A0,0 and B6,0. It is given that P is twice as far from A0,0 as from B6,0. We know that if point…

Q: (a) What is the equation of the line that is tangent to the circle of radius 8 at (0, – 8) and whose…

A:

Q: An equation of a line through (4, 9) which is parallel to the line y=3x+1 has slope:

A:

Q: 1. find the equation of a line passing through (3, 4) and Enter your answer in the slop - Intercept…

A: As per guidelines we can answer only answer at a time so the if you need more answers kindly repost…

Q: Find an equation of a line that is perpendicular to 5x -y=1 and is located such that the area of the…

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Q: find the coordinate of point x such that the ratio of fx to xd is 5:3

A: find the coordinate of point x such that the ratio of fx to xd is 5:3

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: Find the Exact and approximate distance between the two points (7,2) (11,5)

A: The given two points are (7, 2) and (11, 5) The distance formula is given as:

Q: The point that is symmetric with respect to the x-axis to the point (2,-5) is _____.

A: The point that is symmetric with respect to the x axis to the point (2,-5) is be found with the help…

Q: A yacht is travelling on a course parallel to and 80 kilometers from the straight shoreline of…

A: Given,         A yacht is traveling on a course parallel to and 80 kilometers from the straight…

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

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

Q: 2. Assume that a consumer has a budget line l=p1x1+p2x2. Solve for the intercepts [isolate(x1andx2)]…

A:

Q: What is the slope of the altitude from vertex B to side AC of a triangle whose vertices are at A(2,…

A: Given problem:- What is the slope of the altitude from vertex B to side AC of a triangle whose…

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

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Q: 19. Use similar triangles to show that the slope of the line through any two points on that line is…

A: We know slope = Difference in y- coordinatesDifference in x- coordinates Consider the figure in the…

Q: 1. To help with water drainage, sidewalks are slightly slanted towards the street. A contractor is…

A: 1. To help with water drainage, sidewalks are slightly slanted towards the street. A contractor is…

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

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Q: Which of these points is closest to the point (7,1)?

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Q: Consider the two points (4,2) and (10,4). The distance between them is:   The x co-ordinate of the…

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Q: Find a formula for the shortest distance from a point (a,b,c) to the y-axis.

A: We will find the formula as following.

Q: 2. Find the distance between each pair of points and the midpoint of the line segment joining the…

A: Given two points are P(1,0) and Q(4,4). We have to find the distance between given two points.

Q: If point P(2,3, a) is on this tangent plane, find a.

A: The equation of the tangent plane to the surface z=f(x,y) at the point (a,b,f(a,b)) is

Q: Find an equation for line that passes through point p(8,6) and perpendicular to v=2i+3j

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Q: If point A is one unit to the right of Y-axis and two units above the X-axis while point B is two…

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Q: Find all points on the y-axis that are 5 units from the point (4, 4).

A: Distance between two points (x1,y1) and (x2,y2) on the graph is given by the distance formula, that…

Q: Points launched from the x-axis by deflecting off

A:

Q: If A(-2,4) and B(6,6) are two given points, then the coordinates of M midpoint of the line segment…

A: Given a line segment with two end point coordinates as A(-2, 4) and B(6, 6). We have to find the…

Q: A triangle has one side that lies along the line y =1/4x and another that lies along the line y = -…

A: our objective is to find vertex of the given triangle formed by two lines

Q: 1. The midpoint of points A and B is given to be (-,–1). Suppose two lines l1 and lz are…

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

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Q: 4) Find the two points of the form (x,-4) that have the same distance of 10 units from the point…

A: