The four points A, B, C, D have position vectors pi, j+qk, k and i+j respectively, where p and q are positive real numbers. Find vector equations for the lines AB and CD.

Q: A fence must be built to enclose a rectangular area of 20,000 ft². Fencing material costs $2 per…

A: Given area of Rectangle=20,000 ft2 Let  L be the length and b be the breadth of the plot. L×b=20,…

Q: Nancy likes to make quilts.  She wants to make a quilt that is 88 inch by 64 inch.  Each block is 12…

A: we need to remove the border area to make blocks in quilt

Q: There is no solution. only a question above. Where is the solution?

A: a) the first power source model is given by  V1(t)=Re( 2e3it) note that we know that eix=cosx +i…

Q: Can you solve part D and E as well.

A: We have to state whether d, e are true or false with justification.

Q: y = - 1.5 cos (3x -90) +0.5   what is the    a) period  b) amplitude  c) the phase shift

A: Since you have uploaded multiple part questions according to our guidelines we have solved the first…

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: What is the solution to this equation? x-9=17 O A. x= 8 О В. х%3D 26 О С. х%3D 12 O D. x= 28

A: Just add 9 to both sides.

Q: Solve ∆ABC. B = 25º, a = 125, c = 100 A= C= b=

A: Draw a schematic diagram of given question.

Q: Solve the following equation. 32x+3 = 12 x= (Type an exact answer.)

A: We have to find the value of x

Q: Find the area of a triangle whose sides are 6 and 9? Would you write down an explanation on how to…

A: If you like the solution then please give it a thumbs up...... The Answer is:            Area = 27…

Q: now could you solve part b of the question

A:

Q: Draw a picture for each situation and solve for the missing part.

A: The figure can be drawn as follows:

Q: olve the equations and show all the solutions in the first quadrant 3tan0 – cote = 0

A: Use the trigonometry ratio

Q: Answer the rest of the question in full solutions and details

A: Given that,gx=2x2-50x2+8x+15The asymptotes, end behaviour, intercepts are determined as shown below.

Q: Solve roblem Res 2x+43 x+3y=

A: consider the equation F=2x+7y x+y≤72x+y≤12x+3y≤15

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.