The equations of the lines 1 and l, are r = 2| 2 | and r = µ 3 respectively, where 1, µER. -2 The point P(18, 27, 54) lies on the line 1,. (i) Find the position vector of the foot of perpendicular from P to the line l. (ii) Given that the line 1, is the reflection of the line 1, about a third line, l3, find one possible vector equation of the line 13. -4 1 OF = 8- ,r=Dk 8. -32

Q: 2.) Solve for x and y 21 25 X y

A:

Q: Hi Solve plz. 1. Find the number of possible ways to choose 2 apples, 1 orange, 1 papaya and 2…

A: No. of apples in the basket=3 No. of oranges in the basket=2 No. of papayas in the basket=2 No. of…

Q: Greg knows that he requires between 5 and 7 minutes to answer a question on his physics tests. It he…

A: Greg knows that,he requires between 5 and 7 minutes to answer a question on his physics tests.He is…

Q: The average monthly income of P and Q is $5050. The average monthly income of Q and R is $6250 and…

A:

Q: 8 2x +3 9. x+7

A:

Q: UNSOLVED EQUATIONS cost = ( admission + tuition ) tuition = ( semester * total ) total = 8…

A:

Q: 12. Solve the following: 5x + y = A+1 2x + y = 10

A:

Q: Solve. X+y +z = - 11 2x + y-z = - 13 X-y +z = 1

A:

Q: John is taller than pam, david is taller than john,who is the tallest?

A:

Q: The point is i need explanation on how to solve each question.

A: Hi thanks you for posting this question  , since you have posted multiple subparts as per our policy…

Q: Find the value of x3 X1 - 3x2 - 4 x3 = 1 -X1 + X₂ - 3X3 = 14 X2 - 3x3 = 5 Select one: O a. -1.923 O…

A: Solve system of questions

Q: the question didnt have any other information would you be able to solve part d

A: d) It is given that two standard deviations below from the mean is considered as unusually low.

Q: 7. Solve the equation for x. 2x-5--3 a. x= 1 C. X- 4 b. x 2 d. No Solution

A:

Q: olutions are only partly corre

A:

Q: But what is the value of y? Need the solution for y as a actual number.

A: An equation,

Q: Each part describes a rectangle. Please symbolize and solve for each rectangle’s dimensions. (a)…

A:

Q: 4-y² 2-y SŠ *-* zdxdzdy

A: Given:  Let I=∫02∫04-y2∫02-y z dx dz dy To Find: To evaluate the given triple integration.

Q: 6. -30 4 2) -5 -10 40 寸

A:

Q: 4. Solve for b: 2 5. Solve for x: x + (-5) = -7 2. ||

A:

Q: 31. (y +1)4 + 4(y +1)² + 4 = 0

A: y+14+4y+12+4=0Let t=y+12 ,equation becomest2+4t+4=0t2+2t+2t+4=0tt+2+2t+2=0t+22=0 We have repeated…

Q: Solve for x: 11 + 5x+ 2 = 33

A: 11+5x+2=33

Q: Solve. 2r + 8 4 2r - 4 2 The solution set is

A:

Q: Jasmine can run 42 miles in of an hour. How many miles can she run in 1 hour?

A: Given, Jasmine can run 4 (5/6) miles in 2/3 hours.

Q: Solve. x+y+z = 3 2x +y-z = 8 x-y+z = - 5 The solution set is {OID}: (Simplify your answer.)

A:

Q: 3. Find two positive numbers whose sum exceeds the sum of their cubes by the greatest amount.

A:

Q: Is your answer to question 3 the real solution or an extraneous solution? Explain how you know

A: The equation to find the volume isAnd the volume is

Q: Hello. Can you hand write the solution. I'm not understanding.  It's not really clear. Thank you

A: " Since you have posted a question with multiple parts, we will solve first  part for you. To get…

Q: Jaxton took a sample of moviegoers to find how many are seeing a comedy. Sample size: 175 Number…

A: The objective of this question is to find an equation that can be used to predict the number of…

Q: Solve the following equation for the value of x. Include a complete solution a) 3 (4*+1) = 192 b)…

A:

Q: 5. Solve each of the following equations for x: a. 3x+7=9x+1 b. 16+3 64*-5 =

A: Use the exponent rules: 1). amn=am·n 2). If am=an then m=n.     (a). The given equation is:…

Q: 1. Solve for x: 6-3(4+x) = -3(-2x+6) 2. Solve for x: et - 2 = 10 3.

A: Given: 1) 6-3(4+x)=-3(-2x+6) 2)  ex/3  -2=10

Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.