Geometry - problems
- Angle between lines
Calculate the angle between these two lines: ? ?
Calculate distance between two points Z[7; -9] and U[-10; -8].
- Linear independence
Determine if vectors u=(3; -3) and v=(0; 3) are linear Linear dependent.
Line p passing through A[-10, 1] and has direction vector v=(2, 4). Is point B[-20, -19] on the line p?
- Map 2
At what scale is made map if the distance 6.8 km corresponds on the map segment 4 cm long?
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?
A straight line p given by the equation ?. Calculate the size of angle in degrees between line p and y-axis.
- Parametric equation
Find the parametric equation of a line with y-intercept (0,-4) and a slope of -2.
- Speed of Slovakian trains
Rudolf decided to take the train from the station 'Nová Baňa' to 'Gelnica'. In the train timetables found train R 371 Horehronec : km0Břeclav os.n.05:268Lanžhot05:3205:3214Brodské05:3705:3818Kúty05:4205:4344Malacky05:5906:0082Bratislava hl.st.06:2606:37
Determine the radius of the circumscribed circle to the right triangle with legs 3 cm and 10 cm.
- 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)?
- Square side
Calculate length of side square ABCD with vertex A[0, 0] if diagonal BD lies on line p: -5x +7y +20 =0.
What is the slope of the line defined by the equation -4x -2y = -7 ?
Wha is the distance between the origin and the point (23; -7)?
Calculate the slope of a line that intersects points (38,-23) and (-93,5).
What is temperature in the mine at a depth of 1575 m, where at depth 30 m is 16°C and every 30 m, the temperature increases by 0.8°C?
- V - slope
The slope of the line whose equation is 8x +8 = 0 is
- 3d vector component
The vector u = (3.9, u3) and the length of the vector u is 12. What is is u3?
- 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.
- Triangle midpoints
Determine coordinates of triangle ABC vertices if we know tirangle sides midpoints SAB [0;3] SBC [1;6] SAC [4;5], its sides AB, BC, AC.