Consider the following. a) Verify that the given point (7,7) lies on the curve. x3 + y3 = 14xy b) Determine an equation of the line to the curve at the given point. 110

Q: 2. The midpoint of the line segment between Pi (x, y) and point P2 (-2, 4) is Pm (2, -1). Find the…

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Q: Find the exact length of the curve. x- 2, y=? - 2, Osts 6

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Q: Find the point (x0, y0) on the line 4x + 9y = 12 that is closest tothe origin.

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Q: Which point is one fourth of the way between point A and point B on the line segment AB shown on the…

A: Here we will find the point which is one forth of the way between point A and point B,

Q: Write down in normal form the equation of the line which is (a) parallel to the line r (5i +3j) = 2…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the exact length of the curve. x- 2, y =? - 2, Osts9

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Q: Which of the following lines passes through the point (3, –7) and is perpendicular to the line whose…

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Q: Find the equation of the circle that passes through the point (9,7) and is tangent to both the y…

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Q: The line in R that is parallel to the y-axis and passes through the point (1, 2, 3) has equation + t…

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Q: 1. Find the point on the line 1 - a that is closest to the origin.

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Q: The tangent of the acute angle between the lines y = 4x – 3 and y =x-5 is 4. IA 2 D

A: Two lines are given as : y = 4x - 3 and y = x - 5

Q: Find the livus of points that are equidistant to the point F(0,2) and the line y=-2

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Q: Based on the trapezoid shown in the standard (x, y) coordinate plane above, what is the slope of the…

A: Here ABCD is a trapezoid and AB parallel BC which also parallel to the X axis

Q: 4. Use the algebraic tests to check for symmetry with respect to both axes and the origin. x - y? =…

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Q: Find the point with coordinates of the form (2a, a) that is in the third quadrant and is a distance…

A: We know that, a point in third quadrant must have negative abscissa( x-coordinate) and negative…

Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax2 when x = 5? a = b…

A: Given: The line 4x+y=b is tangent to the parabola y=ax2 when x=5. To Find: Value of a and b.…

Q: Sketch parallelogram-INDY with diagonals intersecting at point P in the box below on the left. If IP…

A: Given,           A parallelogram INDY with diagonals intersevting at point P.           IP=3x,…

Q: In the figure, the straight lines L:ax+ by = 1 and L,:y = x+c intersect at the point A on the…

A: The line are intersecting at x-axis co-ordinates of point A is m,0Now we find intersecting point if…

Q: Use the result in Exercise 21 to find the equation of the line that contains (5, – 1) and is…

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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: (a) At what point do the curves ri = (-4+t, -6 – 2t, 7+ 2t + t2) and r2 = (-5 – 2s, -4 +3s, 6 + s?)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Consider the following pair of points. (9,−9) and (−5,9) Step 2 of 2: Determine the midpoint of…

A: Consider the provided points, 9,-9  and  -5,9 Determine the midpoint of the line segment joining the…

Q: 6. Show that the line with equation y = 3x – 5 is a tangent to the circle with equation x² +y? + 2x…

A: Equation of line : y=3x-5 Equation of circle : x2 + y2 +2x -4y -5=0 We have to prove that the line…

Q: Draw a diagram showing two perpendicular lines that intersecton the -axis and are both tangent to…

A: The given parabola equation , y=x2. To draw two perpendicular lines that intersect on the axis and…

Q: Use the result in Exercise 21 to find the equation of the line that contains (4, 5) and is…

A: Given- 2x+3y=6 To find- The equation of the line which is passing through the point 4,5 and…

Q: is the condition such that the straight lines joining the origin to the other two points of…

A: Given: Curves equation   ax2+2hxy+by2+2gx=0a'x2+2h'xy+b'y2+2g'x=0

Q: The lines joining the origin to the point of intersection of the line lx+my=1 and y²=4ax are at…

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Q: 1. Which of the following points in the standard (x, y) coordinate plane is farthest from the…

A: Find the distance of each given point from origin Using distance formula.

Q: Which point is three fourths of the way between point A and point B on the line segment AB shown on…

A: follow next step

Q: Show that the point (x0 , y0) closest to the origin on the line ax+ by =c has coordinates

A: Distance between x0, y0 and origin (0, 0) is, D=x0-02+y0-02D=x02+y02D2=x02+y02f=x02+y02…

Q: Combined equation of OA,OB is ax² +2hxy + by² + 2(x² + y²) = 0

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Q: on the line ye -2x +8 that 1-) Find the point IS Close't to the onigin.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 7. Given that M4,6) is the mid-point of the line segment joining C(2, -3) and D, find the…

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: At what points do the curves y=x2 and y=√x intersect? Find the angles of intersection between the…

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Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax2 when x = 4?

A: Consider the equation of the parabola, y=ax2 differentiate the equation with respect to x to find…

Q: Find the exac length of the curve 3/2 , 0dxE y=2+2x

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Q: Which point is one fourth of the way between point A and point Bon the line segment AB shown on the…

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Q: If point A is reflected over the y-axis and its original location was (2,3), where is its new…

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Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax² when x = 4? a = b…

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

A: We have to find the points where line y=x is intersecting the unit circle: x2+y2=1 To find the…

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: Which pointis two fifths of the way between point A and point B on the line segment AB shown on the…

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Q: Given the curve ax? = y³, find the shortest possible distance between the curve and the point…

A: I am attaching image so that you understand each and every step.

Q: If B is the midpoint of AC, with point A at (5, 2) and point C at (9, 0), what is the equation of…

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Q: Find the point (Xo, Yo) on the line 4x + 6y = 12 that is closest to the origin. (Xo, Yo) =

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Q: Find the point (x, y) on the unit circle that corresponds to the real number t. t= π/2 (х, у) -

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Q: Use the result in Exercise 20 to find the equation of the line that contains (4, 5) and is parallel…

A: We know the important theorem is that the graph of Ax+By=C is parallel to the graph of Ax+By=D.…

Q: For what values of aa and bb is the line −4x+y=b-4x+y=b tangent to the curve y=ax2y=ax2 when…

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Q: Determine the exact distance from the point P (1,2) to the line (-1,3) + t(2,9), t e R . Show your…

A: Given