Find the distance between the two points in simplest radical form. (6, 2) and (4, –2) Answer: Submit Answer attempt 1 out of 2/ pr

Q: 1 Find the distance from the origin to the point P(2, 8, –4)

A: Given: P2,8,-4, Q0,0,0 We know that distanced between pointsx1,y1,z1,x2,y2,z2 is given by…

Q: Use the Distance Formula to find the distance between each pair of points. Round to the nearest…

A: We have to find the distance between the given two points using distance formula.

Q: Rewrite the equation for this circle in Standard Form: x2 − 8x + y2 − 2y + 8 = 0 Answer this:…

A: standard equation of the circle : x-h2 + y-k2 =r2 ; where h,k - center and 'r' is radius.

Q: 36. Write an equation of the circle that is tangent to both axes with radius V11 and center in…

A: Let the center of the circle be x,y. The circle touches the x-axis at x,0 and y- axis at 0,y Since…

Q: Determine if the following point is inside, outside, or on the circle with the center at (2,4) and a…

A: Location of any point (x1, y1) on the circle (x – a)2 + (y – b)2 = r2 can be found as follows:

Q: Calculate the distance between the points H= (-1,2) and B= (4,-3) in the coordinate plane. Round…

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Q: Verify that the point lies on the graph of the unit circle. (1/7, (sqrt(3))/2)

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Q: Find the distance between the two points in simplest radical form.

A: Our Aim is to find the distance between the two points (9,3) and (3,-5)Here x1=9 , y1=3, x2=3 and…

Q: Plot two points that are both 3 units away from the x-axis and 3 units away from (5, 4). (Hint: Use…

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Q: Find the distance between the 2 points leave the answer in simplest radical form

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Q: Find the value of x,if the distance between the points (x,1) and (3,2) is 5

A: Use the distance formula and solve for unknown.

Q: Complete the coordinates: A(-4,) and B( 6). Then, find the length and midpoint of AB. Show work with…

A: See that, the point A is at 2 unit below the X-axis, which is shown by the bold horizontal line.…

Q: Find the rectangular coordinates of the pair of points (2, 2π/3) and (4, π/6). Then find the…

A: The given polar coordinates are (r,θ)=2,2π3Since, the polar coordinates…

Q: Find the angle between the curves 4. у%3Dх and у%3х° +х-8

A: First find the intersection point of the curve then calculate slope of tangents of both the curve at…

Q: 35. Write an equation of the circle that is tangent to both axes with radius V7 and center in…

A: Let a circle be tangent to the x-axis at point (x,0). Then the line perpendicular to x-axis at this…

Q: Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the…

A: we use here pythagoreus theoram.hyptenus ^2=base^2+per^2.

Q: What is the distance between the two points in simplest radical form? R(-8, -3) and S(-1, –4)

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Q: Use are length formula to find the Of the line segment y=l1-7x, OLx

A: solution:-y=11-7x,   0≤x≤5dydx=ddx11-7x=-7Arc length formulas=∫ab1+dydx2dx

Q: Rewrite the equation of this circle in standard form: х2 + 12х + y - 16у + 77 3D 0 Standard Form: =…

A: To Determine: Rewrite the equation in standard form:

Q: Use the distance formula to find those points whose x coordinates are either -4 or 4 and whose…

A: Distance formula for the two points (x1,y1) and x2,y2is(x2-x1)2+(y2-y1)2let (x1,y1)=0,0    and…

Q: What is the distance between the points? -+-2 K

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Q: B. Determine the general form of the equation of each of the following circles. 3. center at (5, -…

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Q: Find the point(s) of intersection between the circle and the line provided, then state if the line…

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Q: Find the distance between the pair of poin and then round to two decimal places. (4,8) and (7,12)

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Q: Express x+y -16x+6y+1%3D0 as the equation of a circle in standard form. Identify the center and…

A: Given equation is x2+y2-16x+6y+1=0. The general equation of a circle centered at (a, b) with radius…

Q: Find the distance between the following points : (1,-3) and (5,-6)

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Q: 1) 2)

A: we have to find distance

Q: 3) Complete the square on the circle 2.a2 + 2y? + 44.x + 28y = 52 to write it in standard form. Then…

A: Standard form of circle is given by,  (x-h)² + (y-k)² = a² , where (h, k) is the center of the…

Q: 6) Determine the y-coordinate of the point on the unit circle whose x-coordinate is 1/4   7) Check…

A: 6. Determine the y-coordinate of the point on the unit circle whose x-coordinate is 1/4.

Q: Rewrite the circle 3x2+3y2-6x=0 in (x-h)2+(y-k)2 form. State the center of the circle and its…

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Q: Write an equation of the circle that is tangent to both axes with radius /11 and center in Quadrant…

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Q: What are the coordinates of point P on the unit circle U if the real number t = (-15π/2)?

A: We have to find coordinate point P on the unit circle for t=-15π2

Q: The formula for the distance between two points is:

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Q: Find the distance between points P, and P2. Pi(0, - 3,3), Р,(8, - 4, - 2)

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Q: in the point (x,2/5) what will be the value of x for the point to be inside the unit circle

A: x^2 + (2/5)^2 < 1 Use this equation to find all values of x

Q: Find the distance between the points using the following methods. (-1, 3), (4, –-9 (a) the Distance…

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Q: Find the distance between each pair of points . Leave your answer as a radical

A: Use the distance formula between two points  d is the distance between two points.

Q: Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the…

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Q: Find the distance from point A to point B.

A: The schematic diagram below represents the relative location of the points A, B, and C.

Q: 4) 3)

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Q: Rewirte the equation of this circle in standard form: x2 - 6x + y2 - 10y - 32 = 0 Answer this:…

A: We are given an equation of a circle. First, we have to rewrite the equation in standard form. After…

Q: Find the distance between the two points.Leave the answer in simplest radical form

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Q: Show that the equation represents a cirde by rewriting it in standard form, AND find the center and…

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Q: 1. Find the distance between the points A(1,2) and B(3,4) in simplest radical form.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the value of x, if the distance between the points (x, -1)and (3,2) is 5

A: Given that: Distance between points (x,-1) and (3,2) is 5.

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.