Discrete Math (i) If gcd(a, b) = 1 and c | (a + b), then gcd(a, c) = 1 and gcd(b, c) = 1. (ii) If gcd(a, b) = 1 and a | c and b | c, then ab | c. (iii) If gcd(a, b) = 1 and a | bc, then a | c

Q: 17. Perform the following operation: 6х — 18 2.x + 10 2 7aI

A: Topic:- algebra

Q: Consider the following function. 3 V k(x) = 2 Step 2 of 2: Find two points on the graph of this func...

A: topic- coordinate geometry

Q: 200x

A: answer of given question is in step 2

Q: A rectangle's length is 5 metres longer than twice its width. If both the length and the width are d...

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Q: 2. Construct a Voronoi diagram for A(-3, 1), B(1,3), and C(1,-1). SHOW WORK! Use pencil! Hint: Find ...

A: Here, first, find the midpoints of A&B, B&C and C&A. mid(A,B)=-3+12,1+32=-1,2mid(B,C)=1+...

Q: Solve the equation AB = BC for A, assuming that A, B, and C are square matrices and B is invertible....

A: Given : AB=BC A, B, and C are square matrices and B is invertible. i.e. inverse of matrix B exists. ...

Q: 1. The vertex point of the quadratic function f(x) = -2(x- 3)? – 4 is given by: A) V(-2,3) B) V (3, ...

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...

Q: A) f(x) = -(x-3)(* +4) ...... 15 B) f(x) = 3(x + 4)(x-3) .... C) f(x) = -(x - 1)? + 2 ...... -15 -10...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: 1. and B = 1. -5 3 A. It is possible 1 Given the matrices A = o to add these matrices. B. If additio...

A: Solve the sum of the matrices

Q: Prove that F (x)(A → B) → (Vx)A → (x)B.

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Q: All sides in a regular polygon must be congruent. To True O False

A: A polygon which has all sides mutually congruent and all angles mutually congruent is called a regul...

Q: g(x) = 4x2 + 3x Answer Keyboa g(x + a) – g(x) =

A: Given that g(x)=4x^2 +3x g(x+a)= 4(x+a)^2 +3(x+a) g(x+a)= 4(x^2 + 2ax+ a^2)+3x +3a        g(x+a)= 4x...

Q: 5V3 + V12

A: We can simplify the answer as below.

Q: Okample: Which of the following systems is equivalent to (x – 2y = 4, {3x + y = 9' Sx- 2y = 4 A) {6x...

A: topic - system of equations

Q: x/45 = 4/5 Your answer 6: x = 3: 5 %3D Your answer 9:4 = x: 12

A: A ratio tells how many times a number is compared to another number. If two ratios are equal then it...

Q: Convert the exponential equations into logarithmic for (a) 6° = 216 is equivalent to logę C = D. C =...

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Q: Change the percent to a decimal number. 13% 13% =

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Q: The recommended daily allowance of niacin for adults is 20 mg. One serving of a certain breakfast ce...

A: We have to find one servings of this cereal provide percentage of the recommend daily allowance of n...

Q: A school wishes to enclose its rectangular playground using 160 meters of fencing. Suppose that a si...

A: Subtract two known side lengths from 160 meters fencing and divide the result by 2 to get the length...

Q: 3. Find the determinant by using elementary row reductions. 2 -2 -6 0 2 10 8 -1 2 8 5 3 -1 -2 3

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Q: Given the graph of the Logarithmic Function g(z) = log, : The graph of the functlon f(x) = 9+ log, (...

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Q: 18+31 39 +(-13) The formula M = 2. can be used to find the midpoint of which pair of coordinates. 2....

A: Given formula M = ((18+31)/2,(39+(-13))/2)

Q: Which of the following is a diameter on the circle as shown below? H. M

A: Diameter of a circle :   The diameter is the length of the line through the center that touches two ...

Q: State two different methods for solving a quadratic equation. Give an example of each. Explain why e...

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Q: Martha weighs 167 3/5 kilograms. Her Friend , Kate weighs 158,200 grams. What is the difference , i...

A: Martha weighs 167 35 kilograms.That is 167*5+35=8385=167.6kgThat is 167.6*1000g=167600gKate weighs 1...

Q: Find the complement of the set given that U = {x | x E I and -3 < x < 7}. (Enter your answers as a c...

A: Let U be the universal set. Then complement of a set A is given by, Ac= {x | x does not belong to A}...

Q: Which of the following is the best way to classify the following triangle based on it's appearance? ...

A: From given figure we can clearly see two sides are equal hence the triangle is isosceles triangle.  ...

Q: A car lease of $12613 is to be repaid by making payments at the beginning of each month for 3 years....

A: This is a problem of compound interest. Based on the general formula we will solve the problem. 

Q: graph

A: As per the guidelines we can solve 3 problems only. 

Q: AABC is an acute scalene triangle. B. O True O False

A: Given problem:-

Q: Taking 'k' components 0. 777EC + 0. 87BD=1440.... - (1) Taking 'j' components 0.5147EC – 1. 6TBD=0.....

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Q: A =

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Q: Use the equation A=Pe^rt to answer the question. Show all work. Abigail wants to save $15,000 to buy...

A: Given query is to find the amount accumulated in 7 years.

Q: Find the distance between the following two points: (0, -1) and (2, 0) O 2 O V5 O V13

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Q: Given below are descriptions of two lines. Line 1: Goes through (-3,6) and (0,5) Line 2: Goes throug...

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Q: Refer to the functions f and g and evaluate the functions at x= -4 f={(6,8), (4,5), (-4,-4), (0,0),...

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Q: 1. Consider the group U(5). (a) What is |U(5)|? (b) For each a ∈ U(5), find |a|, , and | |   2. C...

A: U(n) - Set of all positive integers less than n and relatively prime to n. Then U(n) is a group of u...

Q: Which of the following is a true statement regarding the binomial expansion of (a +b)0; the expressi...

A: We need to tell which of the following statement is true:

Q: how do i do this problem write a quadratic function f whose only zeros are 11 and 2

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Q: The circumference of a circle is 25.12 centimeters. What is the circle's radius?

A: The circumference of a circle is 25.12 centimeters. What is the circle's radius?  

Q: Linearize f(x) = 5 cos x about x = pi over 2. f(x) = -5x

A: We have to linearize the function. 

Q: The amount you eat and your weight is considered positive,negative,zero, or undefined slope

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Q: 5. Find symmetric equations of the line that passes through A(4, -7, -2) and B(-3, 8, 6).

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Q: Use the context clues to fill in the appropriate name for each of the number figures in the figure b...

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Q: 6: x = 3: 5 Your answer 9: 4 = x: 12 Your answer 10/17 = 40/x Your answer 245/500 = x/700

A: Find the value of x  

Q: A farmer has a house at the point (0, 0). He has a corn field that can be found by driving 1 unit up...

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Q: both a) b) c) d)

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Q: 2. Given, f(x) = and g( x) = x-3 1 Find the followi %3D a) (gof )(x) b) Domain of (ao f)

A: Given query is to find indicated composite function.

Q: 4y-2x = 8 Iy -3-2-1 12 3 45 6 -1 -3

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Q: Find (fo g)(x) and (g o f)(x) and the domain of each. f(x) = x² - 9, g(x) = 4x-5 (fo g)(x) = (Simpli...

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