Line - practice problems - page 4 of 30
Number of problems found: 600
- Consolidation expensiveness
Calculate how much the same shopping of 100 EUR will cost in 2025, if in 2024 VAT is 20% and in 2025 it will be as much as 23%. Assume that all goods in the shopping are charged with the same, basic VAT rate. PS. VAT was temporarily raised from 19% to 20% - Distance - cities
Determine the actual distance between two cities if their distance on the map is 7.5 cm and the map scale is 1:60,000. - Frames
A framer is to prepare 23 picture frames with dimensions of 30 cm × 42 cm. The strips from which he makes the frames are 3 metres long. a) How many frames can he make from one strip? b) How many strips will he need? - Adjacent Angles Calculation
Angles alpha and beta are supplementary. Calculate the size of angle beta if alpha is 57°. - Coordinates of line points
I have a point A=[2,1] and a line y+x-5=0. How do I determine the coordinates of point A', which is the image of point A according to the given straight line? - Motion with Decreasing Acceleration
The acceleration of a mass point during its rectilinear movement decreases uniformly from the initial value a0 = 10 m/s2 at time t0 = 0 to a zero value for a period of 20 s. What is the speed of the mass point at time t1 = 20 s, and what is the path of th - Real Numbers on Line
On the number line, display all real numbers greater than or equal to two and less than 5. - Hourglass ticks
The hourglass ticks three times in 5 minutes. How many times do they spill in 2 hours? - Number line distance
Consecutive natural numbers on the number line are always 1 cm apart. Write the sum of the numbers 9 cm away from 517 on the number line. - Circle chord construction
Two line segments of different lengths are given. Construct a circle k so that both line segments are its chords. - Point collinear coordinates
Given are points A [1;a2;a3], B [3;-4;-1], C [-3;-1;8]. Points A, B, and C lie in a straight line. Calculate the coordinates a2, a3 - Function graph intersection
Determine the value of the number a so that the graphs of the functions f: y = x² and g: y = 2x + a have exactly one point in common. - Line perpendicular coordinate The straight line p is given by the formula y = 1/2 x - 1 . The line q is perpendicular to the line p and passes through the point A [1; 5]. Determine the y-coordinate of the point that intersects the line q with the y-axis.
- Calculate cuboid
Given cuboid ABCDEFGH. We know that |AB| = 1 cm, |BC| = 2 cm, |AE| = 3 cm. Calculate in degrees the angle size formed by the lines BG and FH . - Circle line intersection
Calculate the sum of the x-coordinates of the intersections of the circle given by the equation (x - 1)²+ y² = 1 and the line given parametrically x = t, y = t , where t∈R. - Circle distance ratio
What is the ratio of the distance of the nearest and farthest point of the circle described by the equation x2+y2-16x-12y+75=0 from the origin of the coordinate system? - Number distant equally
Which number is also distant from the numbers 5.3 and 7.7 on the number line? - Vertex of the rectangle
Determine the coordinates of the vertex of the rectangle inscribed in the circle x²+y² -2x-4y-20=0 if you know that one of its sides lies on the line p: x+2y=0 - Circle - analytics geometry Write the equation of the circle that passes through the points Q[3.5] R[2.6] and has its center on the line 2x+3y-4=0.
- The tangent of the hyperbola
Write the equation of the tangent of the hyperbola 9x²−4y²=36 at the point T =[t1,4].
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