Q5:. Calculate the area of the triangle formed by the line 3x-7y+4 =0, and the axes.

Q: . Calculate the area of the triangle formed by the line 3x-7y+4 =0 , and the (ans.: 8/21) axes.

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: Q4/ a. . Find the center and the radius of the circle x? + y2 + 4x – 6y – 3 = 0

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Q: 2.) AVZR is a parallelogram. (7 pts) AV = 2x - 4 VR = 3y + 5 RZ = () + 8 ZA = y + 12 Find the…

A: Parallelogram is a simple  quadrilateral with two pairs of parallel sides. The opposite or facing…

Q: 2) If you are given two points in space, P1 (X1,yı) and P2 (X2,yz), demonstrate why the distance…

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Q: y = x², y = 4x, about the line y 16 using the method of disks or washers. Volume %3D

A: Given that  y = x2,  y = 4x about the line y = 16  To find the volume by using the method of disks…

Q: Find the center and radius of the circle x2 + y2 = 6y + 16.

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Q: O Find the distance from the point P(,,) to the plane 2k -3y+72=1

A: We will use the direct formula for finding the distance :

Q: How far is the center of the circle x2 + y2 – 8x + 1 = 0 from the x-axis? a. 2      b.  0…

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Q: Find the length of the chord intercepted by the circle x2+y2-x+3y-22=0 on the line y=x-3

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Q: anslate ABC using the coordinate rule (x, y) → (x + 5, y – 3) ICK TO SELECT A POLYGON DEF 6. 4 -3 -2…

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Q: Find the length of the curve. y = 3x3/2 from x = 0 to x = O 1 O 335 243 335 162 335

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Q: For what value of y must LMNP be a parallelogram? 670 MNP must be a parallelogram fory- 62°

A: Given data: m∠L=62∘m∠M=y∘m∠N=62∘m∠P=y∘ Since LMNP is a parallelogram therefore, m∠L=m∠N and m∠M=m∠P

Q: Reduce the equation of the circle x +y° +&r – 9y– 6 = 0 to its standard equation.

A: Solution is written in below steps.

Q: What is the radius of the circle defined by x² + y? – 4x + 6y = 7

A: Given,           x2+y2-4x+6y=7To find : The radius of the circle.We know that,          The standard…

Q: (b): §. (x* – 2y³)dx + (2x³ – y*) dy, where C is the circle x² + y² = 4.

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Q: In the diagram, QR = ST = 80, CU = 5x, and CV = 7x - 12. Find the radius of Circle C. %3D %3D %3D W…

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Q: Find the coordinates of all points (x, y) that lie on the line whose equation is 2x + y = 8, so that…

A: If point x,y on the line and it is corner of the rectangle. Then, area of rectangle=xy But we have…

Q: Find the points on the line 3x – 4y – 1 = 0 which are at a distance of 5 units from the point (3,…

A: Solving the problem by finding the points.

Q: Describe how to locate the foci for x2/25 + y2/16 = 1.

A: We have to describe how to locate the foci forx225+y216=1

Q: Find the length of the chord intercepted by the circle x2+y2+3y-22=0 on the line y=x-3

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Q: Find the angle of intersection.of the curves X+yー4 dd xt=4メ 2. %D

A: The angle of intersection between 2 overlapping circles is the angle between the tangents at any of…

Q: B 12 15 2x + 1.5 For what value of x will segment DE be parallel to segment BC?

A: Given, ∆ABC  AD = 6 ;  DB = 12  AE = 2x +1.5  ;  CE = 15   We have to find the value of x ; such…

Q: Q2) Find the distance between the line y= - (x+2) & the center of the circle y+x-4(x+ y)= 9

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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: htre of the circle x +y -4x-2y-3 = 0. Find

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Q: 23. M is the midpoint of RS, RM = 3x + 1 and MS = 4x -2. What is RS? %3D %3D

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Q: Find the shortest distance from the point (- 1, – 2, 5) to the cone z = x² + y². Please | round to…

A: Distance of a point from cone is                                      d=(x-x1)2+(y-y1)2+(z-z1)2 from…

Q: Find the midpoint of CD. M = ( X1+X2 Yı+y2 C = (10,-1) and D = (-6,3) %3D %3D ([ ? ],[ ])

A: Use the given mid point formula and simplify.

Q: The height y (in feet) of a ball thrown by a child is 1 x+2x +3 14 y 3= where a is the horizontal…

A: The height y (in feet) of a ball thrown by a child is y=-114x2+2x+3where x is the horizontal…

Q: 1. Find the center and radius of the circle x² + y? + 2x – 4y = 4 by completing the square.

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Q: is the perpendicular bisector of MP - L 15 15 X = M 11 4x +3

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Q: x²+y*+8x -6y + 24= U %3D

A: Explanation and solutions is given below....

Q: Find the coordinates of all points (x, y) that lie on the line whose equation is 2x + y = 8, so that…

A: Given: The coordinates of all points x,y that lie on the line whose equation is 2x+y=8, so that the…

Q: the normd to the the equation f puradsla x=6t, y- 34? 26 Find at the poit where t:-2

A: Equation of normal

Q: The side length of this square is x. What is the ro of the circle?

A: The length of the side of a square is x units.

Q: Find the points on the circle x^2+y^2=45 that are closest to and farthest to from(1,2)

A: Given: The equation of a circle is x2+y2=45   To determine: The points on the circle x2+y2=45 that…

Q: find the other end of the diameter of circle x²+y²-8x-8y+27=0if one end of it is (2,3)

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Q: Find the points on the circle x^2+y^2=45 that are closest to and farthest from (1,2)

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Q: Q3 What are the radius and center of the following circle? x² + y? + 4x – 4y + 4 = 0

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Q: Solve for the value of x in the parallelogram below. 13 y + 8 2y + 1

A: The given sides of parallelogram are  13, (y + 8), (2y + 1) and x

Q: --2 4 X

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Q: figure must be a parallelogram. 9. (12y +8) (Sy +2)° (2x)

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Q: Q2) Find the distance between the line (y=x+4) and the center of the circle (y+x-4x-4y%34)

A: A detailed solution is given below.   (As per our guidelines, we have to solve only 1st question)

Q: Q2) A- Find the distance between the line (y = x + 3 ) and center of circle (x²+y²–2x=0).

A: Topic : Coordinate Geometry  Answer  question no 2 :- sqrt(8) As per our guidelines,  at a time only…

Q: Find y, the shape is a trapezoid. (3x + 5)° (2y – 20)° (4x 30)

A: Sum of measurement of angles of a triangle is 180 degree

Q: Q3. What are the radius and center of the following circle? x² + y? + 4x – 4y + 4 = 0

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Q: 45. What is the equation of the radical axis of the circles x? +y = 9 andx² +y + 4x – 6y = 0? A) 4x…

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Q: length

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Q: A circle is circumscribing a triangle formed by the lines y=D0, y=x and 2x+3y=10. Find the area of…

A: Given that,A circle is circumscribing a triangle formed by the lines y=0, y=x, and 2x+3y=10.The area…

Q: Find the angle between y=5x2-3 and 3xy-9x2-x

A: Given y=5x2-3 --- Eq 1 and 3xy=9x2-x      --- Eq 2We know that angle between y1=k1x+b1 and y2=k2x+b2…