Absolute value - examples
Which of the pairs of numbers on the number line encloses the longest segment: ?
What is the value of ? ?
Circle is given by centre on S[-9; 4] and maximum chord 20 long. How many intersect points have circle with the coordinate axes?
The sum and the product of three integers is 6. Write largest of them.
Vector a has coordinates (7; 16) and vector b has coordinates (15; -7). If the vector c = b - a, what is the magnitude of the vector c?
- Null points
Calculate the roots of the equation: ?
The rectangular crossroads comes passenger car and an ambulance, the ambulance left. Passenger car is at 45 km/h and ambulance 58 km/h. Calculate such a relative speed of the ambulance moves to the car.
- Two cars
Car A1 goes at average speed of 133 km/h and the second car A2 goes at 128 km/h. How many second will it take car A1 to circulate car A2? Assume that both cars are 4.7 meters long and the safety gap between cars is 2.7 meters.
Calculate length of the vector v⃗ = (-2.5, 6.25, -4.25).
- Right triangle - leg
Calculate to the nearest tenth cm length of leg in right-angled triangle with hypotenuse length 9 cm and 7 cm long leg.
- Airplane navigation
An airplane leaves an airport and flies due west 120 miles and then 150 miles in the direction S 23.32°W. How far is the plane from the airport (round to the nearest mile)?
- Cube - wall
V kocke ABCDEFGH je ?. Aký je povrch kocky?
Calculate value of expression log |-1 +3i +5i2| .
- Unit vector 2D
Determine coordinates of unit vector to vector AB if A[19; 10], B[-12; -6].
For how many integer values of x can 8, 11 and x be the lengths of the sides of triangle?
- Alfa beta gama
The triangle's an interior angle beta is 10 degrees greater than the angle alpha and gamma angle is three times larger than the beta. Determine the size of the interior angles.
- Moivre 2
Find the cube roots of 125(cos 288° + i sin 288°).
- Equation with abs
Solve this equation with absolute value member: ?
- Equation with abs value
How many solutions has the equation ? in the real numbers?
- Equilateral cylinder
Equilateral cylinder (height = base diameter; h = 2r) has a volume of V = 221 cm3 . Calculate the surface area of the cylinder.