1.Parallelogram FARM is a rectangle with diagonals FR = = + 1 and x-2 2x+3 AM = = -+ Find FR. 2 A R

Q: 8. 2. 14 10. 3. Sイ 12 X+2 2. LL 6. 1. Find the value of each variable In the parallelogran 3. 1.

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Q: 13. Find the area of the triangle that lies in the first quadrant (with its base on the x-axis) and…

A: The given equation of the line is: y=2x-2       and       y=-4x+16

Q: A radio tower services a 10-kilometer radius. You stop your car 8 kilometers south and 7 kilometers…

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Q: 4. Find the distance between the two points S(-5,-2) and T(-3,4).

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Q: QUESTION 3 31 in the diagram betow line seunent AB tersects ne egnt OC and the size of x and y. (a)…

A: As per our guidelines we are only supposed to solve first three parts of multiple parts

Q: A line segment is divided into three equal sections: AB̅̅̅̅, BC̅̅̅̅, and CD̅̅̅̅. If you know A is at…

A: Section formula (mid point)

Q: 4) (10) Follow the result of above question, find the distance of the point (3,-2,1) to the line 2x…

A: See the attachment

Q: 2)Solve the following IVP’sfor the 2ndorder linearequations y′′−4y′+9y=0 y(0)=0,y′(0)=−8

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Q: Which of the following equations describes all points that are 6 unlts away from th point (-2, 4)? A…

A: Given: 6 units away from the point (-2, 4)

Q: 1. Given that a particular line, AB, passes through the points (6, 12) and (8, 18): Required:  a.…

A: Given line AB passes through (6,12) ,(8,18).

Q: (a) Oppositely directed to v = (19, –14) and half the length of v. -19 V557 1. w = 2

A: Given ,v=19i-14j+0kAim)  find Oppositely directed to v and half the length of v.Therefore…

Q: Find the ratio of x to y if: 8x-3y / 12y + 6x = 1/2

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Q: lem 17. What multiple of a = (1,1,1) is closest to the point b= (2,4,4)? Find also the poin st to a…

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Q: If å = 4i + 2j + 4k ,b = -2i + 4j – 3k and č = 4i + 5j. If å + xb is perpendicular to i then find x.

A: We have to find value of x:

Q: 14. Write an equation of the line that is perpendicular to 3x – 4y = 9 and cont- (-4,-5).

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Q: 2. Find the angle between the lines 3x – 5y = 11 and 6y – 10x = 3.

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Q: 3-Find the real length of the line AB if A(4 , 2 , -1) and B(1,3, -5). * O 5 cm O 5.5 cm 5.3 cm

A: Distance formula: The distance between two points (x1,y1,z1) and (x2,y2,z2) is:…

Q: QUESTION 16 y dy Find of- using the substitution +5= √√y+2 √y+2 ² (√√y+2-5) (-5√/y+2+y+21) + C…

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Q: 2) Which equation can be used to solve for x in the parallelogram below? (бх+12)° (2x+8)° (Зx-12)°…

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Q: In Problem,find the distance from P1 to P2.

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Q: 5. If (2x- kx' +2k) dx = 12, then k must be %3D (А) -3 -3 (B) (C) 2 (D) 3

A: Solution :  ∫02(2x3-kx2+2k)dx=122x44-kx33+2kx02=122 244-k233+2k(2)-0=122164-k83+4k=12…

Q: 2x et. Vi-eza ex fer.

A: ∫ ex1-e2xdx=∫1-u2du=∫1+cos2v2dv=12·∫ 1+cos2vdv=12∫…

Q: 22 + 2z + 1 For questions 6,7 & 8: use I = dz, C traversed CCW z² +z Question 6) C: Iz- 1| = 2…

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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…

Q: Cannot solve

A: We have given u = (4, 5) and v = (5, -2)

Q: If AB = 4x +4 and ZY= 3x-1.5, what is the length of AB? (4x+ 4)- (3x-1.5) A 36 units 9 units 3.5…

A: By mid point Theorem  The line segment in a triangle joining the midpoint of two sides of the…

Q: In Problem,find the distance from P1 to P2.

A: If two points are (x1,y1,z1) and (x2.y2,z2), then the distance between two points is:…

Q: (4z +16) (2у +8)° (2х + 12)° /5у + 25)°

A: SOLUTION-

Q: There are three collinear points A, M and E. M is in between A and E. Segment AM equals 3x+1.…

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Q: 2)Solve the following IVP’sfor the 2ndorder linearequations. y′′+14y′+49y=0    y(−4)=−1,y′(−4)=5

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Q: 1. If s is parallel to t, then what is the value of x? (7x-20) (4x + 16)

A: If two parallel lines are cut by a transversal, then the alternate angles are equal.         As per…

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: Ex.: Find the area of the triangle whose vertices are A(1,-1,0), B(2,1,-1) and C(-1, 1,2).

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Q: 3. The distance between city A and city B is 38 miles; city A's population is 100,000, city B's is…

A: According to Reilly's law of retail gravitation, point of indifference is given by:

Q: For what value of k if the line 6y + (2k – 1 )x = 12 perpendicular to the line 3y- 2x = 6 %3D

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Q: If the quantities x, y, and z are related by the equation z  3xy,then we say that z isto x and to…

A: we have to fill in the blanks: if the quantities x, y and z are related by the equation z=3xy then…

Q: The shadow of a tower standing ona level plane is found to be 30m longer when the Sun's altitude…

A: Given : Shadow of a tower is found to be 30 m longer when sun altitude angle change from 60 to 45

Q: 1ol) 4 1. Are these two line segments parallel? 2 Nhy or why not? -10 -9 -B -7 6 -5 -4 -3 -2 -1 O 9…

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Q: B is the midpoint of line segment AC. Find x C 5X-6 3X +4 Ox = -5 O x 2 Ox = 5 Ox = 10

A: A line segment is a finite section of a straight line. A mid-point of a line segment is a point…

Q: 2 14 - For what value of K is the line 2x+ky = 3 Perpen odicular to the line 4x+y=12 For what the…

A: We will find to the value of k when  the line ,2x+ky = 3 perpendicular to the line 4x+y=1 . And olso…

Q: Question 6 If y=ax², then y' is equal to 2a A 3y2 2ax 3y2 None ax 3y2 2x 3y2

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Q: Use the properties of parallelograms to setup up to solve for x and explain why you set the problem…

A: As per our guideline we are allowed to answer only three subparts of the given problem. Kindly…

Q: 3 4 5 What is true when two chords intersect inside of a circle? The sum of the two lengths of one…

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Q: 40) Which of the following lines are parallel to 3x + 2y = 6? Select all that apply. %3D x -4 O=…

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Q: Find the area of a triangle formed by the lines 2a + 3y = 24. x - 2y = -9 and the y-axis. O 63 sq.…

A: Given the equation of the lines2x+3y=24, x-2y=-9 formed a triangle. The formula for the area of the…

Q: If r = sec(0), then dr = 1² - 1

A: Given information: x=secθ The derivative of the given information, dx=secθtanθdθ

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.