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

Q: find the angle between the following straight lines .y=4-2x,y=3x+7

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Q: Find the standard form of the equation of the circle. Center ( - 3, 1) and tangent to the y-axis

A: The center of a circle is ( - 3, 1) and tangent to the y-axis.

Q: Find the distance from the point to the line.

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Q: Plot the given point in a rectangular coordinate : (0, -3)

A: Standard form is (x, y) Hence, the point is 0 on x-axis and - 3 on      y-axis.

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: Find the equation of the straight line whose distance from the origin is 4,If the normal ray from…

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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: B. C.

A: Given point A= (1,-2)

Q: find the standard form of the equation of each circle. Center (4, - 2) and tangent to the line x = 1

A: To find the standard form of the equation of each circle. Given that, Center (4, - 2) and tangent to…

Q: Find the rectangular coordinates of the pair of points (2, 2π/3) and (4, π/6). Then find the…

A: The given polar coordinates are (r,θ)=2,2π3Since, the polar coordinates…

Q: Find the inclination (in radians and degrees) of the line with slope m: m = square root of negative…

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Q: Find the standard form of the equation of the circle. Center (4, - 2) and tangent to the line x = 1

A: Center (4,- 2) and tangent to the line x=1we have to find equation of circle

Q: Find the equation of the line that passes through the point (4,-1) and has an angle of inclination…

A: topic - equation of a line

Q: Find the angle between the following straight line y=4-2x,y=3x+7

A: To find the angle

Q: Find the equation of the line that passes through the point (4,-1) and has an angle of inclination…

A: Given,           The point is 4,-1 and an angle of inclination of 135°.To find: The equation of the…

Q: Find the equation of the bisectiors of the obtuse angle between the lines x+y-5=0 and x-7y+7=0

A: Given that, x+y-5=0   .................(1) x-7y+7=0   ..............(2) equation (1) can be written…

Q: In what two quadrants do all the points have positive y-coordinates?

A: In quadrant I -> Both x-coordinate and y-coordinate are positive. In quadrant II ->…

Q: Use the distance formula to find those points whose x coordinates are either -4 or 4 and whose…

A: Distance formula for the two points (x1,y1) and x2,y2is(x2-x1)2+(y2-y1)2let (x1,y1)=0,0    and…

Q: Find the distance from the Point P ( 31) and

A: The equation of the line is: y = x + 4 That is, x - y + 4 = 0 The point is (3, 1). We have to find…

Q: At what point do the curves r₁ = and r₂ = intersect? ( ) Find their angle of intersection, 0…

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Q: Determine the equation of the line through the point P tan) that is parallel to the line with…

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Q: Write an equation that represents the curve in the form: y = a sin(k(x − b))

A: The maximum value=5 The minimum value=-1 So the amplitude=a=max-min2=5-(-1)2=3 The vertical shift…

Q: Find an equation for the line containing the origin that makes an angle of 30° with the positive…

A: We have to find the equation of line containing the origin and line is making angle of 30° with the…

Q: Find the angle between the following straight line у-4-2х,у-3x+7

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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 distance and midpoint for A(5, 1) and Z(-3, -3)?

A: Distance between two pointsA(x1,y1) and B(x2, y2) is given byD =((x2-x1)2+(y2-y1)2Mid point is given…

Q: (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.

A: Given equations in the parametric form as:x= cos2(t), ............................(1)y = sin2(t)…

Q: Graph the equation y = -x – 4x +5 on the accompanying set of axes. You mus plot 5 points including…

A: Introduction: The graph is nothing more than a logical representation of information. It assists us…

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

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Q: Plot the points A(-8, 3), B(-8, –2), and C(-2, 3) to form AABC. a. If you reflect (flip) AABC across…

A: Given: The points A-8,3 , B-8,-2,C-2,3  To determine: Coordinates of B' of △A'B'C' where △A'B'C' is…

Q: Find the angle between the straight line represented by  2x2+5xy+2y2-5x-7y+3=0

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Q: Find the angle that the line 2y-9x-18=0 makes with the x-axis.

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Q: Find the rectangular equation

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Q: Find the d.c's of a line that make equal angles with the axes

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Q: just to make sure this is the question you are answering Triangle QRS is similar to triangle TUV.…

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Q: Find the standard form of the equation of the circle. Center (2, 3) and tangent to the x-axis

A: The center of a circle is (2,3). The circle is tangent to the x-axis. We know that when the circle…

Q: Find the equation of the line for the following: a) passing through the point (2,1) and which make…

A: Equation of a line passing through a given point P(x1y1) and making an angle θ with the positive…

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

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Q: Give the equation of the circle centered at the origin and passing through the point (-8, 0). O=0

A: A circle is the locus of points in two-dimensional space equidistant from a fixed point. The…

Q: Find the equation of the bisector of the pair of acute angles formed by the lines 4x + 2y and 2x – y…

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Q: Write the equation for the line of reflection that maps the Triangle DEF onto Triangle D'E'R

A: Hey, since there are two questions posted, we will answer the first question. If you want any…

Q: Find the value a that would make the following equation exact: 1 Заху-за ку 1 y² +x² 2

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Q: Find the standard form of the equation of the circle. Center ( - 1, 3) and tangent to the line y = 2

A: To find: The standard form of the equation of the circle. Given information: Center ( - 1, 3) and…

Q: A hiker climbs for a half mile up a slope whose inclination is 17°. How many feet of altitude, to…

A: To find: The length of altitude that hiker gain. Formula used: Trigonometric ratio: sin α=ph Here, p…

Q: Find the angle between y=5x2-3 and 3xy-9x2-x

A: Given y=5x2-3 --- Eq 1 and 3xy=9x2-x      --- Eq 2We know that angle between y1=k1x+b1 and y2=k2x+b2…