Absolute value - practice problems - page 3 of 7
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 140
- Ferdinand
Ferdinand went from place A to place B and from there to place C. A is 7.2 km from B, and B is 11.7 km from C. Albert went from place A to place D and from there to place C. D is 9.1 km from A and C is 10.8 km from D. Who traveled more and by how much?
- Polygon - area coordinates
Find the perimeter and the area of the polygon with the given vertices. T (2,7), U (2,9), V (5,9), W (5,7)
- Distance two imaginary numbs
Find the distance between two complex numbers: z1=(-8+i) and z2=(-1+i).
- Supplies 48553
Marek had 325 CZK. He bought a T-shirt for 129 CZK and wanted to spend 276 CZK on fishing supplies. How many CZK did his parents add to his fishing gear? How many weeks did they cut his pocket money by CZK 10 before he paid off the debt?
- Quadrilateral prism
A regular quadrilateral prism ABCDEFGH has a base edge A B 8 cm long and 6 cm high. Point M is the center of the edge AE. Determine the distance of point M from the BDH plane.
- Solutions 45511
Two parallel chords in a circle with a radius of 6 cm have lengths of 6 cm and 10 cm. Calculate their distance from each other. Find both solutions.
- A Cartesian framework
1. In a Cartesian framework, the functions f and g we know that: The function (f) is defined by f (x) = 2x², the function (g) is defined by g (x) = x + 3, the point (O) is the origin of the reference, and point (C) is the point of intersection of the grap
- Difference 43541
Calculate three times the absolute difference value between the numbers 3/5 and -1/3.
- 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) and v = (0; 1; 1) are given. Find their sizes, calculate their angles, and determine the distances between them.
- 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 is 42 cm long and the second is 56 cm long.
- The modulus
Find the modulus of the complex number 2 + 5i
- Trapezoid 18313
Find the points A1 B1 symmetric along the y-axis to the points A [-4,0] and B [-1,4]. Calculate the perimeter of the trapezoid AB B1 A1.
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