Absolute value - practice problems - page 3 of 6
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 120
- Three-digit numbers
How many three-digit numbers are not closer to 600 on the number axis than 400? - Space vectors 3D
The vectors u = (1; 3; -4), v = (0; 1; 1) are given. Find the size of these vectors, calculate the angle of the vectors, and the distance between the vectors. - Absolute 37423
Add the absolute values: - Vectors abs sum diff
The vectors a = (4,2), b = (- 2,1) are given. Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|. - Calculate 33101
Calculate ǀǀ4ǀ. ǀ-8ǀ - (- 3) ǀ: ǀ2 + ǀ-2ǀǀ = - Brighton 31941
Two trains left London bound for Brighton. One at 14:00 and the other at 14:20. One train moves at a speed of 120/km per hour. Kinds 150/km per hour. How far apart will they be at three o'clock? - Calculate 6
Calculate the distance of point A[0, 2] from a line passing through points B[9, 5] and C[1, -1]. - On a line
On a line p : 3 x - 4 y - 3 = 0, determine the point C equidistant from points A[4, 4] and B[7, 1]. - Two parallel chords
In a circle 70 cm in diameter, two parallel chords are drawn so that the circle's center lies between the chords. Calculate the distance of these chords if one of them is 42 cm long and the second 56 cm. - The modulus
Find the modulus of the complex number 2 + 5i - Angle of the body diagonals
Using the vector dot product calculate the angle of the body diagonals of the cube. - Suppose
Suppose you know that the length of a line segment is 15, x2=6, y2=14, and x1= -3. Find the possible value of y1. Is there more than one possible answer? Why or why not? - Two chords
Two parallel chords are drawn in a circle with a radius r = 26 cm. One chord has a length of t1 = 48 cm, and the second has a length of t2 = 20 cm, with the center lying between them. Calculate the distance between two chords. - Inequality 12021
Solve on Z - inequality with absolute value: | x-18 | +4> 1 - Multiplying 11721
What do I get by multiplying the absolute value of -0.7 and the reciprocal number of10? What do I get by dividing the opposite number by the number -14/8 and the reciprocal number to the number 4? - Four-digit 10261
Roman likes magic and math. Last time he conjured three- or four-digit numbers like this: • created two new numbers from the given number by dividing it between digits in the place of hundreds and tens (e.g., from the number 581, he would get 5 and 81), • - Calculate 9221
There are two sloths in the tree's branches. One is 2.5 m from the trunk, and the other is on the other side of the tree, 4 m from the trunk. The sloths head out to get to know each other. Calculate how far from the log they will meet if they climb at the - Temperature difference 2
The temperature in London on new year's day is -2 degree Celsius. The temperature in Prague on the same day is -14 degree Celsius. What is the temperature difference between the two cities? - Determine 8202
An observer watches two boats at depth angles of 64° and 48° from the top of the hill, which is 75 m above the lake level. Determine the distance between the boats if both boats and the observer are in the same vertical plane. - Lighthouse
Marcel (point J) lies in the grass and sees the top of the tent (point T) and, behind it, the top of the lighthouse (P). | TT '| = 1.2m, | PP '| = 36m, | JT '| = 5m. Marcel lies 15 meters away from the sea (M). Calculate the lighthouse distance from the s
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