3. Select the coordinates of the vertex for the quadratic relation y = -0.5x² + 5. а. (0, 5) b. (2, 4) с. (1, 1) d. (-1, -2)

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A: We plug x=y2 in…

Q: 6. Eliminate the arbitrary constants from the relation y=ax² +bx +c.

A:

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A: Given,            Equation of the line is y = -6x + 3 and point =-1, 4

Q: 7. : Find the point of intersection of the two lines L: 3x - 4y = 2 M: x +2y = 4 Graph the lines.

A: 7.The given lines,      L: 3x-4y=2     M: x+2y=4 Note:   In question 6, Dan receiving amount…

Q: Graph the line with the equation 3 y = x – 4. 10 9. 8. 7. 4 3. -9 -8 -7 -6 -5 -4 -3 1 2 3 4 5 6 7 8…

A: Equation of the line is given by y=-34x-4

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A: Closest distance form a point to a line is normal distance from point to line.

Q: Which 2 points are on the line (x.y) = (-1,4) + k(7,1). kER Select one: O -1,4), (7, 1) O (-8, 3),…

A:

Q: raction of the lines 3y - x=2, 2y-5x

A: Given:- 3y - x=2, 2y-5x=7  and  y - 2x=7 To find the equation of the line passing through the point…

Q: 6. Find the intersection point of these two lines: x+y=1 and 6x+5y=15

A: Find the intersection point x+y=1   - - - - - - (i)  6x+5y=15   - - - - - - (ii) From the question…

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A:

Q: Determine whether there exists a constant c such that the line x + cy = 1: passes through (3, 1).

A: We have to determine the value of constant c such that the line x+cy=1 is passing through the point…

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A:

Q: Find an equation for the collection of points for which the distance to (3, 0) is twice the distance…

A: Calculation of required Parameters.

Q: 2x y 3y-20 of Given two parallel lines cut by a transversal, solvefor x and y. %3|

A: The figure is given by To evaluate : The values of x and y

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A: Given points K,2 and 3,8If the given line is vertical then the line is parallel to the y-axis…

Q: what is the relation ship between the stYaight tinesor t 51+7と Zz x3 पन्हे 25万-31 2-7+2+ A y36 6.

A: For the solution follow the next steps.

Q: Which of the following is the point of intersection between the lines 3x + y = 10 and x - y = 2 а.…

A: Given:   3x + y = 10    x - y = 2

Q: x^2+2y^2=9 tl to the line x+3y=7

A: Given: x2+2y2=9To the line x+3y=7

Q: 1. Find the equation of the line passing through the point perpendicular to the line 5x + 3y = 5. 3…

A: Given equation of the line5x+3y=53y=-5x+5y=-53x+53 which is theform of y=mx+b whereslope of the line…

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A:

Q: The equation of the line with an xx-intercept of −2 and a yy-intercept of −2 can be written in the…

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Q: Find the quadratic fúnction y= ax²+ bx +C whose graph pabses through the given points :(1,6),…

A: Given  The quadratic function y=ax2+bx+c and its graph is passing through the points 1,6,-1.-4  and…

Q: How far is the intersection of the lines 4x-5y=26 and 3x+7y+2=0 from the origin

A: We have to find the distance of the intersection of the lines 4x-5y=26 and 3x+7y+2=0 from the…

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A:

Q: A tractor has a first cost of $40,000 and a salvage value of $15,000 in year 10. The MARR is 12% per…

A: Option B

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A: We have to prove ∫C-ydx+xdy=x1y2-x2y1 Where C is the line segment joining x1,y1 and x2,y2 Now…

Q: 8 Q1) Find the line that passes through the point (4, - ) and through the point of intersection of…

A: Given: The line passes through the point 4,85. Also, it passes through the point of intersection of…

Q: 2 1ど y+1 w that line

A:

Q: The management of the Titan Tire Company has determined that the quantity demanded x of their Super…

A: We are given Demand,D(x)=164-x2 Supply = 12x2+68 Calculation of the equilibrium point,…

Q: 3. Find the area of the quadrilateral enclosed by the lines x y = 0, 2x – 5y = –15 and 5x – 2y = 15.…

A: Let's find.

Q: Write the coordinates of the vertices after a reflection over the line y x. 10 8 6 41 21 -10 -8 -6…

A: topic - reflection  x and y coordinates of a point are interchanged after getting reflected through…

Q: Prove that the equation 2x2+3xy-2y2-x+3y-1=0 represents a pair of perpendicular lines

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Q: Mark all points that are on the line y = 4x – 7. O (3, 5) (– 2, – 15) O (4, – 7) O(- 3, – 20)

A: Given : y = 4x - 7

Q: 1. Show that the lines 2x + 3y = 1 and 6x - 4y - 1 0 are perpendicular.

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

Q: The slope y-intercept form of a linear relation is represented by y=mx+by=mx+b.  Which equation…

A: Solution: The objective is to find equation shows x isolated correctly for this formula

Q: The management of the Titan Tire Company has determined that the quantity demanded x of their Super…

A:

Q: (1) ( ) Find the shortest distance between two lines given x +2 -8 y = and y 2

A:

Q: 4. Use first or second differences to determine the type of relation between x and y. -1 1 3 2 4. a)…

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

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A:

Q: 11) Find the point(s) of inflection for as an y=8x-x³ (point(s) of inflection should be given…

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Q: Find the point on the line – 5x + 3y – 5 = 0 which is closest to the point (4, – 2).

A:

Q: 5. Find the line that passes through the point P(1.2) and the point of intersection of two lines x…

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

Q: Sketch the region defined by the inequalities -1 < r< 2 and -T/2 < 0s T/2.

A:

Q: 28. Why do the lines L: 5x + 2y - 3 = 0 and L2:-10x- 4y + 6 = 0 coincide?

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Q1) Find the line that passes through the point (4, ) and through the point of intersection of the…

A: We need to calculate the equation of line that passes through the point P1(4, 8/5) and through the…

Q: 23. Find the shortest distance between the following lines. 9 y – 9 - l1 : -14 -1 3 4 y +2 l2: 8. z…

A: Given: The lines are: l1: x-9-14=y-9-1=z3    -1l2: x-48=y+24=z-10  -2 Let P and Q be two points on…