Point M is the midpoint of JK find the length of JK 5x+3 3x+7 K.

Q: The midpoint of ABAB is at (−4,3)(-4,3). If A=(1,−2)A=(1,-2), find BB.

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Q: Point I is on line segment HJ. Given IJ = 3x +3, HI = 3x-1, and HJ 3x +8, determine the numerical…

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Q: Explain how you can find the coordiantes of a point 1/8 of the way from point A to point B.

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Q: The distance d from the point (2, - 3) to the point (5, 1) is________ .

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Q: Find all points with integer coordinates located at a distance of 3 from the point (4,5).

A: Using co-ordinate geometry and pythagoras theorem,we can identify all required integral points.

Q: find its dimensions of height and length of ba:

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Q: find all the points having an x-coordinate of 1 whose distance from the point (-3,-1) is 5.

A: Suppose that the points are of the form (x, y) where given that x = 1. So, the points are (1, y).

Q: The coordinates of point P are (2,3,7). What is the exact distance between point P and the z-axis?

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Q: Use polynomial interpolation to find a cubic curve that goes through the points {(0,-3), (1,0),…

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Q: What is the point (0, 0) called?

A: To find,   The point (0,0) called

Q: Find the dimensions of the isosceles triangle of largest area that can be inscribed in a circle of…

A: Solution:- calculate the value of base by using pythagores therorm.

Q: Point M is the midpoint of RT. RM = x and RT = 4.x - 6. Find the value of x

A: Given: Point M is the midpoint of RT.

Q: Point G is on line segment FH‾FH. Given FH=4x+8,FH=4x+8, FG=x,FG=x, and GH=5x,GH=5x, determine the…

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Q: 20) Find the distance between these (2) sets of points; (2, -5) & (-3, -10).

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Q: Find the length between each pair of points.20. (-1, 6) and (7, 2)

A: Formula used:Distance between two points A(x1, y1) and B(x2, y2) is

Q: Find the value of x in the rhombus. (3x - sx)° (4x - 24).

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Q: Find | 22 x²z ds, where C is the line segment from (0,4,-6) to (2,9,-5)

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Q: Point P is on line segment OQ. Given OQ=4x+2,PQ=4X-10, and OP = 3x-3, determine the numerical length…

A: Given  point  P  is on line segment  OQGiven  OQ=4x+2, PQ=4x-10  and OP=3x-3we determine  the…

Q: Rotate the point -320° to within 10°. (о, 1) x (1, 0) (-1, 0) (о, -1)

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Q: Of all rectangles with a fixed perimeter of P, which one has the maximum area? (Give the dimensions…

A: let the length of rectangle is l and width is bthen perimeter (P)=2(l+b)sol+b=P2or l=P2-b

Q: Find the distance between the points (21, 5) and (2, 1).

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Q: The distance d from the point (2, - 3) to the point (5, 1) is

A: Given: From (2,-3) to  (5,1) To find the distance

Q: What are the dimensions of a rectangular wall that can be constructed with 100 feet of brick that…

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Q: Find the distance between 4y + 3x = 4 and point (0, 5) O 3.4 O 3.2 O 2.8 3

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Q: A point is plotted on a coordinate grid at (−3,4) How far is the point from point (0,0)?

A: We know, By distance formula ,the distance d between two points whose coordinates are, (x1,y1) and…

Q: Find all points that simultaneously lie 3 units from each of the points (2, 0, 0), (0, 2, 0), and…

A: Let such a point is (x,y,z)

Q: = 5x? and the point (4, 1. Find the formula that should be used to minimize the distance between 3)?

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Q: Find point G on segment AB such that the ratio of AG to GB is 3:2

A: This is  a problem related to line and it's division. Based on the general formula and concept we…

Q: A diameter of a circle extends from the point (8,12) to the point(-1,4). What is the length of the…

A: Diameter of the circle is extends from (8,12) to the point (-1,4), then the distance between those…

Q: Find cot θ⁡ whose terminal side passes through the point (4,0).

A: Given terminal side passes through the point (4,0)

Q: Point K is on line segment JL. Given JL = x + 10, KL = 4x, and JK = 2x, determine the numerical…

A: The diagram according to the given information is shown below, so, the equation will be, JL=JK+KL…

Q: Calculate the length of PQ where P = (-2,1,6) and Q = (-3,4, –1).

A: We will find the length of PQ→ in the following step

Q: point M is the midpoint of JK find the length 0f JK lox+7 M.

A: Given: Point M is the mid-point ofJK. To determine: Length of JK

Q: Find all points with integer coordinates located at a distance of 3 from the origin.

A: we have to find all points with integer coordinates at a distance of 3 from the origin. Let P(x,y)…

Q: 7. The diagonals of Parallelogram ABCD intersect at point X, the mAX is 152.

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Q: 1. Point R is on line segment QS. Given QS = 2x+2, QR 3x- 5, and RS = 5x - 5, determine the…

A: The point R lie on the line segment QS. so, QS=QR+RS                  ⋯⋯1 Substitute QS=2x+2,…

Q: Find the distance between the points (-4, 0) and (-10, 8). O5/2 O 10 O 2 3

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Q: Point I is on line segment HJ. Given IJ = 3x + 3, HI = 3x - 1 and HJ = 3x + 8, determine the…

A: Given that I is on line segment HJ HI = 3x -1 IJ = 3x + 3 HJ = 3x + 8

Q: Find the distance between 4y + 3x = 4 and point (0, 5) O 3.2 3 O 3.4 O 2.8

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Q: Point A is at (1, 5) and point C is at (-5,-7)  Find the coordinates of point B on AC such that AC…

A: A1, 5 & C-5, -7 Also given that AC is 6 times as long as AB. AC=6AB That is,…

Q: point r is on line segment Qs.given QR=3x-8,QS=3x,and RS=2x determine the numerical length of RS

A: It is given that point R is on the line segment QS hence the length QS is equal to the sum of the…

Q: show that points (2) ) are ( 3 ) 2 (52) A on-Coplaner ( ره ) -

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Q: Find the di stace between the Point (-15, ) and the Origin

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Q: a) A triangle is inscribed in a semi-circle, its hypotenuse lies on the diameter of the semi-circle.…

A: Given: Let ∆ABC is inscribed in semicircle. The angle inscribed in a semicircle is always a right…

Q: A segment has endpoints L(-2,7) and K(5, –3). What are the coordinates of the midpoint of LK?

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Q: Find the coordinates of the image. Ry-axis (S) -3 -3- th

A: From the graph given point S is at (3,6) Now reflect the point S across y axis For reflection across…

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

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Q: FIND THE APEA POONDED BY THE CUPVES y"=x"(4-x

A: We have to find the area bounded by the curve.

Q: Find all points on the x-axis that are a distance 5 from Р(-2, 4).

A: Our Aim is to find all points on the x-axis that are a distance 5 fromP(-2,4).

Q: rectangle is to be inscribed inside a right triangle that has legs of 3 cm and 4 cm lengths.…

A: Area of rectangle= length×width For the maximum area will occur when the derivative of the area is…

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.