Absolute value - high school - practice problems - page 2 of 4
Number of problems found: 72
- Modulus and argument
Find the mod z and argument z if z=i - 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. - 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 = - 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]. - 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? - Inequality 12021
Solve on Z - inequality with absolute value: | x-18 | +4> 1 - 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 - 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
- Coordinates of square vertices
The ABCD square has the center S [−3, −2] and the vertex A [1, −3]. Find the coordinates of the other vertices of the square. - Balloon and bridge
From the balloon, which is 92 m above the bridge, one end of the bridge is seen at a depth angle of 37° and the second end at a depth angle of 30° 30 '. Calculate the length of the bridge. - Vertices of a right triangle
Show that the points D(2,1), E(4,0), and F(5,7) are vertices of a right triangle. - Three points
Three points A (-3;-5) B (9;-10) and C (2;k) . AB=AC What is the value of k? - Number 6911
On the number axis, point P is the image of the number -2.54, and point Q is the image of the number 10.71. Find which number is the point R such that Q is the center of the line PR.
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