Cities A and B are on the same east-west line. Assume that city A is located at the origin. If the distance from city A to city B is at least 100 miles and x represents the distance from city B to city A, express this using absolute value notation

Q: Express the quantity without using absolute value.

A: Our Aim is to express the quantity π-3 without using absolute value.

Q: Express without absolute value bars. -3 / |-3| ?

A: We know that |-3|=3

Q: 1. Find the distance between (-3, 1) and (4,-2).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Express the distance between the numbers 4 and 15 using absolute value. Then find the distance by…

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Q: A 50-foot ladder leans against a wall so that it is 40 feet high at the top. The ladder is moved so…

A: We have to find the height where top of ladder is higher from base.

Q: A car travels 250 km in the same time that a truck travels 225 km. If the speed of the car is 8 km…

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Q: What is a chord

A: A chord of a circle is a straight line segment whose endpoints both lie on a circular arc.   The…

Q: Determine the equation of the line passing through the points (4,4)and(4,6). Express final answer in…

A: Equation of line passing through two points (x1, y1) and (x2, y2) is,  y-y1=m(x-x1)        where…

Q: Express as an interval: {x : |x − 5| < 4}

A: Given expression:  {x : |x − 5| < 4} |x − 5| < 4 x = ?  as an interval.

Q: Express the quantity without using absolute value.

A: We have to express the quantity: a-b, where a<b. We know for any modulus function, fx=fx    if…

Q: Students who score within 18 points of the number 82 will pass a particular test. Write this…

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Q: Express as an interval: {x : |5x + 3| ≤ 2}

A: Given : {x : |5x + 3| ≤ 2} Solve Absolute Value.   5x+3≤2   We know 5x+3≤2 and 5x+3≥−2   Solve…

Q: Find all sets of three positive consecutive even integers such that twice the sum of the two is less…

A: First take three consecutive even integer and then satisfied condition

Q: To receive Grade ‘A’ in a course, one must obtain an average of 90 marks ormore in five examinations…

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Q: A line segment has a length of 10 units. If the line segment undergoes a translation up 5 units and…

A: SOLUTION-

Q: A 50-foot ladder leans against a wall so that it is 40 feet high at the top. The ladder is moved so…

A:

Q: Determine the equation of the line passing through the points (2,−7) and (18,9). Express final…

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Q: Find the distance, to the nearest tenth, between the two points.20. (-1, 0. -5) and (3. 3, 7) 21.…

A: ** As per our guidelines, we are supposed to solve only the first three problems/subdivisions.…

Q: When 3 times a number is subtracted from 4, the absolute value of the difference is at least 5. Use…

A: given: when 3 times a number is subtracted from 4, the absolute value of the difference is at least…

Q: X -2

A:

Q: Find all real numbers for which the distance between (x,-1) and (2, x) is 3

A: →Distance between the two points A(x1,y1) and B(x2,y2) is given by,                          d =…

Q: Express your answer in interval notation 9|x-1|+4 < 22

A:

Q: When 4 times a number is subtracted from 5, the absolute value of the difference is at most 13. Use…

A: let's number is x so, according to given statement 5-4x≤134x-5≤13…

Q: Express the interval using two different representations. -11 < x < 9

A: Given

Q: A submarine starts at sea level and dives to a depth of 310 feet below sea level. It then rises 240…

A: Given submarine dives to a depth of 310 feet below sea level then rises 240 feet

Q: When two trains P & Q running in opposite direction crosses each other in 10 seconds and when…

A: Introduction :

Q: Write a pair of inequalities that describe the points that lie inside or on the circle with center…

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Q: The level of the root is defined to be zero TRUE OR FALSE

A: See the detailed solution below.

Q: let (5,-7) be a point on the terminal side of 0

A:

Q: Express the distance between the numbers -2 and 5 using absolute value. Then, find the distance by…

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Q: Is the number 0.5 above the interval (0.52,0.63) ?

A: we have to find the point 0.5 lies above the interval 0.52, 0.63or not

Q: A manufacturer of an anti-inflammatory drug claims that the drug will be effective for 8 hours. An…

A: A manufacturer of an anti-inflammatory drug claims that the drug will be effective for 8 hours. An…

Q: A runner runs 2 miles east, then 8 miles north, then 4 miles east.  What is the direct distance from…

A: Given that  A runner runs 2miles east  And 8miles north and  4miles east

Q: A line segment has a length of 10 units. The line segment undergoes a translation up 5 units and…

A: Vertical translation by a units moves the entire graph up/down by a units. Horizontal translation by…

Q: Among all pairs of numbers (x,y) such that 3x+y=8 , find the pair for which the sum of squares,…

A: Given condition,           3x + y = 8                     y  = 8 -3x             —1Function to be…

Q: A 50-foot ladder leans against a wall so that it is 30 feet high at the top. The ladder is moved so…

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Q: A soccer field is a rectangle 90 meters wide and 120 meters long the coach ask players to run from…

A: In any right-angled triangle, we have: a2+b2=c2 where the measure of the hypotenuse (the side…

Q: The perimeter of a square must be greater that 52 inches but less than 84 inches. Find the range of…

A: The perimeter of a square must be greater that 52 inches but less than 84 inches. Find the range of…

Q: If a student has an average exam score between 70 and​ 79, he will earn a grade of C in his algebra…

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Q: The distance between the origin and a point representing a real number on the real number lineis the…

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Q: Describe all the x-values at a distance of 12 or less from the number 7

A: We have to find all values of x such that |x-7| is less than or equal to 12

Q: It is possible to find the midpoint of two numbers located on a coordinate plane. O True O False

A: Find the statement is true or false

Q: Determine the equation of the line passing through the points (4,−5) and (5,−5). Express final…

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Q: Write the number 240 as a sum of three numbers so that the sum of the products taken two at a time…

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Q: If x and y are positive numbers with x > y, show that a triangle with sides of length 2xy, x2-y2,…

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Q: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles.…

A: Lets p be the speed of plane  and w  be the speed of wind Total distance is 180 miles for 1 trip he…

Q: Find the distance of the points with coordinates 3 1/3, and -4 3/4 in a number line.

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Q: Choose the correct translation of: "Given two real numbers, the sum of the two real numbers is less…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.