How far is the line 2/1īx – 10 y + 24 = 0 from the origin? O A. 1 O B. 2 O C. 3 O D. 4

Q: Determine the angle between the two lines: 1₁: 7 = (1,0) + t(0, —2), t ¤ R x+2 y-3 and 1₂: *+² = −³.…

A: Given

Q: How many lines can be drawn through P perpendicularto QR?

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Q: ind an equation of tar y=snnc25-x²) (50) ngent lir

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Q: Which point is farther from the line that passes through both P and QR or S?

A: We have to find which point is farther from line PQ.

Q: O Evaluate )ds where c is the line segment from (-2,0) to 0,2).

A: We will parameterize C and solve.

Q: For what value of k, do the equations 2x – 3y + 10 = 0 and 3x + ky + 15 = 0 represent coincident…

A: Find the value of k.

Q: Evaluate a?y x²y ds where C is the line segment from (0, 1) to (2,2).

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Q: Find the length of the curve. y = 3x3/2 from x = 0 to x = O 1 O 335 243 335 162 335

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Q: d is reflected over the line y =

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Q: Find the points on the line nhere the ta x(t)%3D t3 - 3t +2, Y (t) =3-3t?+2

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Q: How far is the line 2/11x – 10 y + 24 = 0 from the origin? O 1 O 2 О з O 4

A: Given that: Equation of line is:            211x-10y+24=0

Q: Below are two parallel lines with a third line intersecting them. 44° MY Co SA

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Q: Q/ The next five-figure find the length of the line from o to D, noting that the length of the line…

A: Given, The figure is, The length of AB is 4.6 cm.   To find: The distance from point O to the point…

Q: Find the point that is 2/5 of the distance from C to D.

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Q: For what values of a and b is the line 2x +y= b tangent to the curve y = ax' when x = -5? a = b =…

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Q: (c) Repeat part (a) using midpoints. M3 = M5 =

A: Let's find.

Q: / ife refresents the Segment of the line from Z-2 toZ-zi Kt frave Withouet finding the Kilke of the…

A: In both parts we can use the formula ∫Cf(z)dz≤ML where M is the upper bound of |f ( z )| over C and…

Q: The distance d from P1 = (x1 , y1  ) to P2 = (x2 , y2 ) is d =__________

A: We fill the blank space as,

Q: Find the value of x that makes lines a and b parallel 19x-4 a 110° O 6 O 5 O 7 О 1

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Q: Find the value of z that makes m n. 156° (4x + 12)° Lines m and n are parallel when I = AE

A: The two indicated angles are corresponding angles.

Q: Y = , cx. y) = (9,5) X-8 会? Jengent line -? at (9,5)

A: Explanation of the answer is as follows

Q: What is the distance between the line y = 2x – 3 and the point (0, 0)? Round the answer to the…

A: y = 2x-3 & point is (0,0)   ⇒ y-2x+3 =0  ;  Ax+By+d=0            (x1,y1) =(0,0)  A=…

Q: For the line 4x + 3y = 24, complete the following ordered pair so that it is a point on the line…

A: given line4x+3y=24

Q: T. Assume that lines Dear to be 13/33 are tangent. E. 62°

A: The given figure is: Find the measure of indicated arc. Notice that CD is a tangent of the circle…

Q: Find the length of the line given by r(t) = ⟨t, 2t⟩, for a ≤ t ≤ b.

A: To determine: The length of the line given by rt=<t,2t> for a≤t≤b

Q: Find the distance between the following paris of parallel straight lines  9x2-6xy+y2+18x-6y+8=0…

A: To the distance between the following pairs of parallel straight lines  The given pair of line…

Q: Find the distance between a point (6, 9) and a horizontal line at y = 5. O A) 14 B) 4 C) 15 O D) 11

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Q: (c) Repeat part (a) using midpoints. M3 = %D M6 =

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

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Q: How is the line y = 1 converted by mapping w = e? ?

A: In this question, we convert the line y=1 by mapping w=e^z.

Q: Ex(7): Find the coordinate of the point which divides the line segment from 3 (2,-3) to (-1,4) in…

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Q: Show that the two lines X= 2+ St J= 4 - 36 Z: 5+t X= 1+4t and y= 5-4t Z: -1+ SE skew Rind the…

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Q: Even though RT is not pictured, RT can be drawn as a line. m/ R S T O True O False

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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: 4. Assume the lines that appear to be tangent are tangent. If m/P=14°, find the value of x. P

A: Tangent line makes right angle

Q: Find the distance between the given point Q and the given line. Q(- 9, 1, 10); x= - 5+ 3t, y = 1-t,…

A: Given that, the point is Q-9,1,10 and x=-5+3t, y=1-t and z=7+4t. Obtain the value of rt=xi+yj+zk.…

Q: about the line, x- | (E'1) puo (!!)'(0) squiad %3D V= T RG) 3-X y= 2x+1 Idy 3 - 23. x- V= T 29 12

A:

Q: Show that the two lines X= 1+4t X = 2 + St and y= 5-4t J= 4 - 36 Z: -1+ SE 2: 5+t Rind the distance…

A: There are two equations of line:

Q: Evaluate |(xy? + 4) ds where C is the portion of the line segment from (1,2) to (3,-4) and then from…

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Q: For what value of w is line m parallel to line ?

A: C passes through (-4.-7) & (2,-3)   slope of C = -7-(-3)-4-2                       = -4-6 = 23

Q: How many lines can be drawn through P parallel to QR?

A: Geometry: It is given that PQR is a triangle.Where QR is base the triangle.We need to find how many…

Q: Use the diagram shown. 1 2. 3 4 6. 7. 8. Suppose m23 = 5x + 11 and m25 = 16x + 1. What must the…

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Q: 6. Are the lines y 7x + 2 and x + ty = 8 parallel, perpendicular or neither? * %3D Parallel O…

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Q: Consider the line L(t) = (1 – 5t, -1, 2t) and the point P = (-5, –4,-2). %3| How far is P from the…

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Q: The perpendicular from the origin to the line y = mx + c meets it at the point (-1, 2). Find the…

A: The solution for the above solution is as shown below.