The figure shows a horizontal line y = c intersecting the curve y = 8x – 27x³. Find the number c such that the areas of the shaded regions are equal. y= 8x – 27x y=c Answer + 32 27

Q: The diagram shows the curve y= 4x –x and the straight line x=4.

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Q: Find the point of the line -2x+5y-2=0 which is closest to the point (-4,0).  The answer is?

A: To find the point of the line -2x+5y-2=0 which is closest to the point -4,0

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Q: 22 The line y = 2-2x cuts the curve 3x² - y² = 3 at the points A and B. Find the length of the line…

A: Straight line and hyperbola intersect at two points.

Q: Find the x-intercept of the line x+3y-5=0 as a point O a. (0,5) O b. (5,0) O c. None O d. (0,5/3)

A: x intercept can be obtained by putting y=0 in the given equation.

Q: The line y = 6 ·x + 5 intercepts the y-axis at and the x-axis at

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A: We have to find

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A: It is known that, we can draw the infinite number of straight lines passes through one point.…

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A: When farmer plants 30 stalks, each plant yields 26 oz of beans are produced & when she plants 38…

Q: (a) Find the points of inflexion of the curve y(a² +x²) = x³

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Q: 3. Find the value of x when lines w and v are parallel. (4x-3)° 65° W

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Q: Find the set of values of k for which the line y=3x-k does not meet the curve y= k?+1lx-6.

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Q: What is the greatest possible value of the y-coordinate? (x−3)2 +(y+4)2 = 36

A: The given expression is

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Q: Where does the graph of the line y = x-2 intersect the x-axis? OA (0, 2) O B. (2,0) O C. (0,-2) D.…

A: Given that:- The line y = x-2 To find:- At which the point does the straight line intersect x-axis?…

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Q: Write an equation of the line that is perpendicular to the l I'm be 3y-4x=9 and passes through the…

A: Given: 3y-4x=9  and point -2,1

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A: From graph line interested curve two times one point when x = 1 and other point we need to calculate…

Q: х* - Зx* +2 ,2 y' x? ,2

A: The x-intercept is a point where the y-coordinate of that point is 0. To find the x-intercept put…

Q: The line with the equation3x-y 2 is graphed in the xy-plane. What is the x-coordinate of the…

A: Given line is 23x-78y=2 is graphed in the xy planewe find x-coordinate of the x-intercept of the…

Q: (a) Find the length of the curve y=[^ √√√²-1dt, 1≤x≤ 16.

A: To find the length of the curve.

Q: x2- 2x + 4y = 19, the line x = 1, and the x-axis. %3D

A:

Q: Find a best straight line y = cx+d that best fits three points (1, 1), (–-1,2), (-2, 1). %3D

A: We have the equation of given straight line as y=cx+d            ⋯⋯1 If the points 1,1,-1,2 and -2,1…

Q: 5. Consider the rectangle below. What is the equation of the line that maps the figure onto itsell?…

A: Step 1          The equation of the line that maps the figure           on to itself.…

Q: How far is the line 2√11 x - 10y + 24 = 0 from the origin? A. 2 B. 3 C. 4 D. 1

A: The equation of the line is given by 211x-10y+24 = 0 To evaluate: The distance between the line and…

Q: 8c. Graph the line y = x +3 for -8 < x < 6 and then use geometry to calculate + 3) dr.

A: Answer is 35. Solution is given below....

Q: y = Vx, y = 0, and x = 81 is revolved about the line y = 9.

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Q: Find the equation of the horizontal line at a height of -3.9. O the height must be an integer O y =…

A: We can find the equation of line as below

Q: (a) y = x = 2, y = 0; about the line x = -2. (b) y = 7 – x², y = 3; about the x – axis.

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Q: The second question: Let us have the line whose equation is L: x-3 = y+5 =+1 (2) Find the distance…

A: The solution of the problem is given in the next step.

Q: In the figure, two perpendicular straight lines L;:2x + y+ 3 = 0 and L cut the x-axis at the same…

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Q: fl-8)== y= 3/x at point (-8;2) %3D m =

A: We are given the function f(x)=x3. Here,               f(-8)=-83=-2. Now, we need to find Slope of…

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A: Given query is to find the value kdu x and measure of UT and TX.

Q: Determine the length of the curve x = (y-1), where 4 <y <9.

A: Now differentiating given curve with respect to y, we get

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A: y-intercept=(0,3) line is y=3x+3

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Q: y = a · b' Has a y intercept of (0,2)and passes through the point (3,128)

A:

Q: 13. The lines y = 5x -3 and y = 2x +9 intersect at P. What are the coordinates of P

A: according to bartleby guideline ,I can solve first question ...

Q: The point on the line y= 2x+3 that is closest to the point (4,2) is (a,b). Then 5b – 20a= O a. 2 O…

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Q: a) when does the line x 2t, y = 3 +4t intersect the curve y = x2

A: Given data:     The given first line is: x=2t. The given second line is: y=3+4t. The equation of the…

Q: The graph of y < 3x + 5 is the half-plane below the line y = 3x + 5

A: The graph of y &lt; 3x + 5 is the half-plane below the line y = 3x + 5

Q: Find an equation for the line with the given properties. Vertical line; containing the point…

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Q: Find the equation of the line through the points G,1) and (0, 1). Write your answer in the form y =…

A: The points are given as 37,1 and 0,1 . Equation of line = ? We know that , If the points are Ax1,y1…

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 the points on the line 3x-4y-1=0 which are at a distance of 5 units frim the point (3,2)

A: The equation of line is  3x-4y-1=0. The distance of point (3, 2) from the pointy on line is 5 unit.…