Find two solutions of y = x - 4 38 Point 1: (2, y) Point 2: (x, y) → Then graph: 51 4 3 2 4 5 -5 4 -3 -2 -1 -1 -2 -3 -4- -5t 3. 2.

Q: An ant is walking on the xy-plane is such a way that its distance to the point (2, 4) is always the…

A: Solution: Let the point P(x,y) is the position of Ant and given that the distance from P(x,y) to…

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: Find the point on the line x/a + y/b =1  that is closest to the origin. Be sure to enter it as an…

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Q: How find the pistance from fant (1,3) and Line y -4

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Q: Perpendicular to the line y=−1/2x+1 containing the point (3,6)

A: Solution is done in step 2

Q: A straight conncecting street segment is built perpendicular to an existing street with equation y =…

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Q: What is the image of the point (2,-3) after the transformationr y-axis 1) (2,3) 2) (-2,-3) 3) (-2,3)…

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Q: Find the equation of the line through point (2, 1/2, -3) and is perpendicular to the plane -x+4y+3z…

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Q: What is the x-coordinate of the x-intercept of the line 2 = 1 when it is graphed in 3 5 with…

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Q: A straight connecting street segment is built perpendicular to an existing street with equation y…

A: Given,            y = 27x + 3 and point =-1, -0.2

Q: An object is traveling along a path described by y = x + 3. Where along that path will the object be…

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Q: Find b and c so that y = – 5z² + bz + c has vertex (9, 1). c =

A: The given equation y=-5x2+bx+c has a vertex at (9, 1). The given equation is an equation of a…

Q: Find the point on the line 6x + y = 6 that is closest to the point (-4, 1). (x, y) = %3D

A: We have to find a point on the line 6x + y = 6 that is closest to the point (-4,1). Concept Used -…

Q: What is the image of the point (4, -4) after the reflection over the line y = x-2?

A: we have to find the image under given line

Q: opens upward with vertex at (-12,-6) with directrix y=- 17

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Q: Find the coordinates of the point 7. of the way from A to B. 10 本y 10 8- B(t0,7) 6- 2- -> -6-4-2 -2…

A: Given P is a point 710 of the way from A to B .This implies that point P divides the line AB in…

Q: Is the point (-11, 2) on the circle with radius 5 and center (-7, 4)? Complete the sentences to…

A: Write the standard form of equation of circle with the help of given centre and radius than do as…

Q: (a) The curve with equation 2 y 3 + y2 - y 5   = x 4 -2x3  +x 2  has been likened to a bouncing…

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Q: XIV. Give equation of straight line through point (1,3,-2) perpendicular to z = Зх-2y +4.

A: Given z=3x−2y+4 and point is x0,y0,z0=1,3,−2 We have to find the equation of straight line through…

Q: Find an equation of the diameter of circle x²+y²-6x+2y-15=0 which when produced passes through the…

A: Given, Equation of the circle x2 +y2 -6x+2y-15 =0  We have to find the equation of the diameter of…

Q: The point that is symmetric with respect to the y-axis to the point ( - 2, 5) is__________

A: It is known that the graph of y=fx is symmetric with respect to y-axis means f-x=fx=y.

Q: 3. What is the equation of the line that passes through point (-3,-1) and is perpendicular to the…

A: Given that: The given equation of the line is y=-13x+5 and the given point is -3, -1 So, we have to…

Q: roblem 4.1 Find the point on the line y = 2x + 3 that is closest to the origin.

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Q: 4 Construct line AB whose equation is given: y =-,+5 %3D Graph the y-intercept first; then graph a…

A: Giveny=-43x+5

Q: 8. In general, if the line y = mx + b is rotated 90° about a point (x, mx + b), explain how you can…

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Q: The plane that passes through the point (5,2,2) and is perpendicular to both x-5z=-24x-5z=-24 and…

A: The direction ratio of the normal vector to the plane x-5z=-24 or x+0y-5z=-24 is (1,0,-5) The…

Q: The equation of the line with slope – 2 that goes through the point ( – 8, – 7) can be written in…

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Q: Find an equation of he line that satisfies the given conditions.      Through (-5,3); perpendicular…

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Q: a.) (-3,4); parallel to y=3x-5 b.) (-2,-4); perpendicular to y 2/3x-5

A: (a).   The given equation of line: y=3x-5 Slope of line parallel to the given line is: m=3

Q: What is the image of (-2, –3) after a reflection over the line y = x?

A: Given : To determine the image of the point -2,-3 about y=x

Q: 29. (-2, 2) reflected through the y-axis is a. (-2, 2) b. (2, 2) с. (-2, -2) d. (2, -2)

A: Rule:-  A point ( x,y ) After reflection through y axis becomes ( -x , y)

Q: Find the point P on the line y=6x that is closest to the point (74,0).  Type an ordered pair.

A: Given:The line y = 6x and a point (74,0).Let p be the point that is closest to the point (74,0). Let…

Q: In the xy-plane, line k intersects the y-axis at the point (0, –6) and passes through the point (2,…

A: Given:- In the xy-plane, line k intersects the y-axis at the point (0, -6) and passes through the…

Q: Which of the following is an equation of thevertical line through (–2, 4)?

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Q: Find an equation for the set of all points (r, y, z) equidistant from point 10.) (1,0, 2) and the…

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Q: Give the equation of the graph obtained from y = 3sin πx by applying the translation (–1, –2).   Can…

A: First, we apply the horizontal shift -1. This means the graph moved 1 unit left. For c units left…

Q: 4. In general, if the line y is rotated 90° about (0, 0), explain how you can find the equation of…

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Q: 7 ) Find the equation of line L through the point 5,,5 intersecting at right angle the 2 line M with…

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Q: point

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Q: 1- -3 -1 2. 4 -1- X-аxis -2 -3- O 2 O 0.5 O -2 -0.5 y-axis 20

A: slope = (y2 - y1)/(x2 -x1)

Q: 6. Find the distance between the point (-3, 1) and the line 4x + 3y + 4 = 0.

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Q: What is the equation of the line that passes through points (-3,0.5) and (3,-0.5)? A y= By = -6x %3D…

A: To find the equation of line

Q: Through the point (2, -4, 0) and parallel to each of the planes 2x + y -z = 0 and x+ 5y + 3z = 0.

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Q: Find an equation of the line satisfying the following conditions. Through point (1, –5);…

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Q: At point (1,y), what is y?

A: Note:- If two points is given in Cartesian form like  (2,5)  Then  x=2 and y=5 Means first one is…

Q: An object is traveling along a path described by y =x +3. Where along that path will the object be…

A: Given: An object is travelling along a path described by y=x+3.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.