N. (x+11) (5x - 2) E.

Q: What is the length of the line segment? A(-3,4) -5 4 -3 -2 -1 2 3 4 5 -2 -3 B(2,-3) O 5 O V74 O 7 O…

A:

Q: 2) If you are given two points in space, P1 (X1,yı) and P2 (X2,yz), demonstrate why the distance…

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Q: Lines ℓ and m are intersected by transversal t and ℓ ∥ m. If m∠3 = 126°, what is m∠5?

A: The pairs of angles on one side of the transversal but inside the two lines are called Consecutive…

Q: The endpoints of MN are M(0, -3) and N(-2,-4) and for AB are A(2, 5) and B(4, k). For what value of…

A:

Q: 12. What is the distance between the points K(4,1) and L(7,-3)? А. 2 В. З С. 4 D. 5

A: Distance formula

Q: In APQR, PR is extended through point R to point S, mZPQR = (2x + 6)°, mZRPQ = (x - 7)°, and m2QRS =…

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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: What is the distance from P(2,4) to 2x-3y+1=0?

A:

Q: In the image shown, Line n is a transversal cutting lines L and m. Z3= 2x + 30 Z5 = 3x +1

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Q: What value of x would prove that lines /and m are parallel? (5x + 3) (9x-33)

A: For lines l and m to be parallel, The sum of internal angles made by intersecting line is 180°.

Q: 2. Evaluate . 3x – 6y ds for C is the line segment from (6,0) to (6,6).

A: Let C be a piecewise smooth curve defined by, Let P and Q be two continuous functions of x and y…

Q: Lines ℓ and m are intersected by transversal t and ℓ ∥ m. If m∠2 = 120°, what is m∠7?

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Q: 4. 3 2. 54 3-2 -1 1 2 4. -2 -3 -4 -5 -61 3.

A:

Q: Use the side-splitter theorem to solve for x in the triangle below.

A: Given,

Q: The points P(k, 2k), Q(p, t) and R(12p, 5t) are on a straight line. If Q divides PR in the ratio of…

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Q: -In the standard (x, y) coordinate plane, the endpoints of a segment are (2, 7) and (12, 19). What…

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Q: Evaluate |x ds, where C is a. the straight line segment x = t, y = 5, from (0,0) to (30,6)

A: Line integral is an integral where the function to be integrated is evaluated along a curve

Q: Find all points on the x-axis that are a distance 5 from P(−2, 3)

A: Given,P (-2, 3) and distance,d = 5

Q: Find all points on the x-axis that are a distance 5 from P(−2, 4)

A: Given,           All points on the x-axis that are a distance 5 from  P(−2, 4)

Q: Use are length formula to find the Of the line segment y=l1-7x, OLx

A: solution:-y=11-7x,   0≤x≤5dydx=ddx11-7x=-7Arc length formulas=∫ab1+dydx2dx

Q: Find the length of the chord made by 3x? – y? = 3 and y + æ – 5 = 0. -

A: 3x2-y2=3    →1y+x-5=0    →2 From equation (2), we get y=5-x Now put y=5-x in equation (1), we get…

Q: What is the distance between the points? -+-2 K

A:

Q: What is the length of the blue line labeled r in the image below? Give your answer in terms of a and…

A: The length of r is found using the following triangle ABC.

Q: The endpoints of MN are M(0, -3) and N(-2,-4 and for AB are A(2, 5) and B(4, k). For what value of k…

A: Given query is to find the value of 'k' for which segment AB and MN are perpendicular.

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: 51. Show that the shortest distance from the point (x1, yı) to the straight line Ax + By + C=0 is Ax…

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Q: O Find the distance from the point (2, 1, 4) to the line r = (-t,6 – 2t, 8 – t).

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Q: Find the length of the graph Y (2? + 1) 2. on the interval (0, 2].

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Q: b. For the points C (x – 3,5 – Z)and D (4 – x, -8), find the midpoint if Z is the last digit in your…

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Q: 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

A: We have to find the distance from origin

Q: Suppose there is a straight line from 21 = 0 to 22 = 2 + 4i You know that the equation of a straight…

A:

Q: The formula for the distance between two points is: O True O False

A: Please see the explanation below

Q: If the position of an ob ject moving along a straight line at any time is expressed by s(t) = 1³ –…

A: Given: s(t)=t3-9t2+24t

Q: Let a and b be positive numbers. Find the length of theshortest line segment that is cut off by the…

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Q: Determine B such that the line 3x + 2y - 7 = 0 is perpendicular to 2х - Ву+23D0. | O 5 Оз O 2

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Q: For what value of x is the quadrilateral a parallelogram 3x 11 x+5

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Q: Prove that the length of common chord of the two circles x + y² + 22x + c = (2² -c)(µ² +c) 2² + µ? O…

A: We will prove that the length of the common chord is the given term as following.

Q: Which of the following denotes the length of a line segment with endpoints A and B?

A: Answer: B) AB¯

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

A:

Q: 2. Find the distance between the parallel lines: L: 2x- 5 y + 3 = 0 ; (Hint: It suffices to compute…

A: Consider the given equations of the lines, L1: 2x-5y+3=0 and L2: 2x-5y+7=0 The formula of the…

Q: Find the cоттоn points of the circles (x + 1)² + (y – 1)² = 5 and x² + y? = 1.

A: Common points of the circles simply means the point of intersection of the given circles.

Q: 2- The line perpendicular to the triangular (PQR) and through the point (P) if P(1,-1,2), Q(0,3,1),…

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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: In the diagram, EF and AB are parallel. Line CD is a transversal. 10 E G A. 2 -2 -1 0 10 11 12 -1 to

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Q: 43 of 305 → 39. А (-3,8) and B (-1,4) 40. М (4, —3) and N (-2, 1) i

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Q: DETERMINE THE SHORTEST DISTAtNCE FROM THE POINT -1,2) 5x-12y=10, TO THE EQUATION %3D

A:

Q: 4) Which of the following pairs of points define a line segment parallel to the x-axis? O(4,3)(-4,3)…

A: We have to identify the line segment parallel to x axis.

Q: What is the distance between points F(2, 9) and G(4, 14)? Round to the nearest whole number.…

A: