What is the distance between the origin and the plane 3x-2y + 5z +7=0? O 7 7√√30 30 7√√√38 38 0

Q: The distance beyween the planes 4x – 9y + 9z = 3 and &x – 18y + 18z = 2

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Q: 2. Factor the quadratic inequality to find ther-intercepts. y Sz² + 2x-8

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Q: Q7. What angle does the line of intersection of the plane O make with the nonnegative 2x + y - z = 0…

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Q: (r, 0) 4, – 3+ 27 (r > 0) %3D

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Q: 26.) What is the vertex of the given quadratic function? y = x2 – 8x + 23 A) (3,4) B (4,3) C)…

A: The given quadratic function,     y=x2-8x+23

Q: Calculate the distance between points (0,0) and (4,6) on the coordinate plane   A.4√26   B.2√13…

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Q: x=3cos(2pi t)+2 y=-6cos(2pi t)+1 moving at t=0 seconds. what are the endpoints of the segment? how…

A: We have x(t) = 3cos(2pi t) + 2. y(t) = -6cos(2pi t) + 1. Then, tracing this curve we need to find…

Q: Find 3x + y -5x + 6y 3x + y = 0, 3x +y = 3, 5x+6y=1, Round your answer to 4 decimal places. dA,…

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Q: =. Complete the square to find the center and radius of the circle defined by the equation: 4x² + 4y…

A: We know that general form of a circle equation is given as - (x-h)2 + (y-k)2 = R2. Here (h,k) is…

Q: The discriminant of the quadratic equation 4x+7z-4 0 is O 15

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Q: What is the distance between the given pla P₁: z=x+2y + 1 P2: 3x + 6y-3z = 4 O 0.95 O 1.50 O 0.14

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Q: Tind he latance from the pomt (-2, 4) to tu plane 37+2y4 6E5

A: Given a point (1, -2, 4) and a plane 3x + 2y + 6z = 5

Q: Given the following figure, identify the shape along with its properties. F(-1, 3) G(3, 0 E(-4, –1)…

A: To solve the following problem

Q: Where could he plot the third point so the hypotenuse of the triangle has a length of 15 O (7, 4) о…

A: The marked points are (-5,7) and (7,7) and the length of the side joining these two points is 12. If…

Q: What is the distance between the given planes? P1: z= x + 2y + 1 P2: 3x + 6y - 3z = 4

A: To solve the given problem:

Q: D -10 -9- -4 -10 6. Use the applet to transtate quadritateral ABCD 2 units left to…

A: We will find the coordinates of D'' as following.

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: Find the trace of the plane 4x - 12y + 7z = -9 in the coordinate xz-plane. (Use symbolic notation…

A: Equation of plane .To Find:Trace in xz plane.

Q: Let P=(- 2, - 1,3). The find distance from the point P to the plane x+ 2y + 2z = 10. The distance =…

A: solution:-plain: x+2y+2z=10point: (-2, -1, 3)formula for foot of perpendicular on the plain from…

Q: Find the distance from the point Q= (2,2,2) to the line of intersection of the planes x+y+z=1 and…

A: Distance from the point Q(2,2,2) to the line of intersection of planes x + y + z = 1 and x + y = 2

Q: (4z +16) (2у +8)° (2х + 12)° /5у + 25)°

A: SOLUTION-

Q: (r, 0) -4, – 3+ a (r < 0)

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Q: ) y''' + 3y'' + 4y' + 12y = 8cos2x - 16sin2x

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Q: 5x - 7y + 5z = -52 and 6x - 2y + 2z = -4.

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Q: Find the trace of the plane -14x + 4y = 7 in the coordinate yz-plane. (Use symbolic notation and…

A: The given equation of the plane is -14x +4y = 7 ....(i)We are asked to find the trace of the given…