1. Find an equation of a line through the point (-1,4) making an angle of radian measure 1/4 with the line having an equation 2x+y-5=0. a. 3x + y + 1 = 0, x + 2y - 7 =0 b. 3x - y + 1 = 0, x + 3y - 11 =0 c. 2x - 3y - 14 = 0, x + 3y - 11 = 0 d. 2x - 3y + 14 = 0, x + 3y - 11 =0

Q: The distance between the line x - y + 3 = 0 and the line y = x + 2 is

A: The given two lines are x-y+3=0  and y=x+2. The equation of second line can be written as x-y+2=0.…

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Q: Find an equation of a line through the point (-1,3) making an angle of 45 degrees with the line…

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Q: Express cos°x as a function of multiple angles.

A: The function of multiple angles is given below,

Q: Give equations and sketch graphs of the lines passing through (-2,2) and parallel to y=2-5x

A: It is given that the required line passes through the point -2, 2 and parallel to the line whose…

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: For each point given in rectangular coordinates, write three different polar representations of the…

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Q: Convert (10, 270°) to exact rectangular coordinates. (10,270°) =| (?, ?)

A: Given- 10,270° To Convert- The above polar coordinate to the rectangular coordinate. Concept Used-…

Q: Multiply. Use "theta" for θ and (cos(theta))^2 for cos^2 θ. (Sin0 + Cos0)^2

A: (sinθ+cosθ)2 using…

Q: how do you get the reflection across each line to reach step tw

A: The coordinates of the vertices of the ΔSRT are S(1,4), R(2,2), and T(1,3).

Q: Find an equation for a circle of radius 4 and center at the point (0,-2).

A: Given: For a circle,                           radius, r = 4 And            center, (h, k) = (0,-2)

Q: Explain the formula of centered difference.

A: We explain the formula of centered difference.

Q: Find an equation for the circle that goes through the points (0,0), (0,8), and (6,12). Then find an…

A: Let the equation of the circle be      (x - a)2 + (y - b)2 = r2   . . . . . . . . . . . . (1)  Now,…

Q: Please help find the point of intersection and the angle between the lines y = x + 3 and y = 2x + 1.

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Q: i. Write the equation below in standard form. 1 3x 5 2

A: ii. Write the equation below in standard form y2-3x=15. i. Write the equation of the line passing…

Q: find an equation for (a) the vertical line and (b)the horizontal line through the given point. (-1,…

A: we have to find an equation for (a) the vertical line and  (b) the horizontal line through the given…

Q: Q2) Plot, on the same figure, sine and cosine graph for x from 380 degrees to 986 degrees with a…

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Q: 12) through: (-3, –5), parallel to y = 4

A: The line passes through (-3,-5) and parallel to y=4

Q: 5) Write equation of the line -5-4-3-2-10 A Y

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Q: Find the equations of the circles passing through the point (-4,3) and touching the lines x + y = 2…

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