You have a cartesian equation: x-2 = y-3 = z and another cartesian equation: x-7 = y-2 = z-1 what is the distance between them?

Q: Are the equations 3y + 4x = 1 and 5y - 3x = 1 parallel, perpendicular, or neither to each other?

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Q: Find an equation for the contour of f(x, y) = 2x°y+ 8x + 15 that goes through the point (5, 2).

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Q: What is the equation of the axis of symmetry?

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Q: Convert the rectangular equation x2 + y2 = 8x to an eq %3D

A: By using the relationship between rectangular coordinates and cylindrical coordinates . We can…

Q: How far is the center equation 10x^2 -y^2 -5y -11 to its focus?

A: Note: It is assumed that the equation, 10x2-y2-5y-11 is 10x2-y2-5y-11=0.   The conics are generated…

Q: What is the distance between the line with Cartesian equation x-4 = y-6 = z and the line with…

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Q: ). The “lead-in groove” is 6 inches from the center of an LP, while the “exit groove” is 1 inch from…

A: Solution

Q: Convert the rectangular equation x2 + y? - 3z2 = 0 to an e %3D

A: Here we use the relationship between rectangular coordinates and spherical coordinates to convert…

Q: State whether the equation z= (;)' + (3)° %3D defines: ?

A: The equation is z=x82+y52To define the shape of this equation

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

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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: The point that is 2 units to the left of the y-axis and 4 units above the x-axis has coordinates (,.

A: A point which is a units to the left of y-axis and b units above the x-axis is given by the…

Q: What is the equation of the circle with centre (,0) and radius 2? (2a- 1)2 + y? = 2 4. (2x-1)2 + y?…

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Q: A person in a hot-air balloon flying at a height of 160 ft accidentally dropped his wallet. The…

A: Given: The trajectory of the falling wallet is described by, y=160-0.025x2

Q: when the center of a circle is at the origin, the equation to be used is when the center of a circle…

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Q: The general equation of the circle is x²+y²+Dx+Ey+F=0,where D,E and F are real numbers? True or…

A: We know that, the general form of the equation of a circle is x2 + y2 + 2gx +2fy + c = 0. Here, the…

Q: What points does the line of the equation 4x + 6y = 6 pass through?

A: Algebra Question

Q: On the coordinate plane, what is the coordinate pair that represents point A?

A: By graph we can see that  Coordinates that represents point A is (-2.5, 2.5)

Q: The y-intercept should be a coordinate point like (0,15), so what would it be?

A: The given y-intercept is a coordinate point like (0,15)

Q: Find the equation of the line that passes through the origin and makes a 30° angle with the x-axis.

A: Our Aim is to find the equation of line that passes through the origin andmakes a 30° angle with the…

Q: Which equation represents the line shown on the coordinate plane below?

A: Given graph of line is

Q: A hawk flying at 18 m/s at an altitude of 190 m accidentally drops its prey. The parabolic…

A: Given that: y=190-x254 Let,  y=0190-x254=0190=x254x=101.29So  the  distance  travelled  is  the  one…

Q: Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.…

A: Let A and B are two endpoints of the segment AB. The coordinate of midpoint M is given by the…

Q: Find an equation for the contour of f(x, y) = 2a²y + 6x + 15 that goes through the point (4, 1).…

A: A contour line of the quadric surface is the curve of intersection of the quadric surface with the…

Q: Marcus needs to choose the figure with is NOT parallelogram. Which figure should he choose?

A: We have to choose the figure with is not a parallelogram.

Q: Consider the equation of a line. - 2y = 16 - What is the equation when solved for y?

A: consider the equation  of a line. x-2y=16 we have to find the equation when solved for y.

Q: |xy dA, D is enclosed by the quarter-circle 20. y - 1 - x² , x > 0, and the axes

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Q: Give the coordinates of a point such that if the coordinates are reversed, their location is the…

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Q: Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​…

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Q: Find the equation of the line that passes through the origin and makes a 60° angle with the x-axis.

A: Given, The line is making 60∘angle with the x-axis. Point through which line is passing = (0,0)

Q: the circle (x-2)^2+(y-5)^2=16 is moved up 3 units and to the left 1 unit. where is the center of the…

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Q: Horizontal; containing the point (-3,2)

A: We have to find the equation

Q: Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.…

A: Given, Midpoint of segment =7,-1  endpoint of segment = 6, 8   We have to find the other endpoint of…

Q: Which equation is parallel to y=-3 x+4 and passes through the point (-3,4)? O y=-3x+ 15 O y=-3 x-5 O…

A: We know the parallel lines have equal slope. If equation of line in the form of y=mx+c then m…

Q: the coordinates of the new point be? 2-

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Q: Write the equation of a line that is perpendicular to y +9 and that passes through the point (4,-6).…

A: The line is perpendicular to y=-27x+9 and passes through (4,-6)

Q: A chicken coop has been built 30 yards south of a farmhouse and is enclosed by a circular fence.…

A: We have to find the equation of the circular fence.

Q: Solve for the distance and midpoint from the given equation. a. {(x,y)|y=2x-5, x=-3 and 4} b.…

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Q: Is the point (−3, 0) on the x-axis or y-axis? How do you know? Explain

A: we have to identify the point (-3, 0) on the x-axis or y-axis

Q: The path of a ball kicked from the ground can be modeled by the equation y = -(z – 2) (x – 22),…

A: According to question given thatThe path of a ball kicked from the ground can be modeled by the…

Q: Create the equation of aline that is perpendicular to 2y = 14 + and passes through the point (-2,…

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Q: Reflect the figure across the y-axis. Which is most likely the new figure?

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Q: At what points will the line y = -2x intersect the unit circle x2 +y2 =1 ?

A: The circle equation is x2+y2=1 and the line equation is y=-2x.

Q: DD,- D,-+2y)?

A: Given that, Dx2r-1Dx-Dyz=x+2y2 To show that : the rank of equation is uniform . From the given…

Q: 2. A rectangular F lines x=0, y=0,

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: reflect the point (2, -4) over the y-axis

A: If we reflect a point over the y-axis then the formula is: (x, y)→(-x, y) Here x=2 and y=-4

Q: The equation of a circle is given as x2+ax+y2+by=c where a, b, and c are constants. The radius of…

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.