Equations practice problems - page 230 of 239
Number of problems found: 4768
- Circle
The circle touches two parallel lines, p, and q, and its center lies on line a, which is the secant of lines p and q. Write the equation of the circle and determine the coordinates of the center and radius. p: x-10 = 0 q: -x-19 = 0 a: 9x-4y+5 = 0 - Slope
What is the slope of the line defined by the equation 4x -2y = 10? - Sea water
Seawater contains about 6.5% salt. How many dm³ of distilled water must we pour into 21 dm³ of seawater to get water with 1.2% salt? - Steamship
Between the two ports on the river is going steamship. The journey there and back takes 12:53. Downstream steamship traveling at 19 km/h, upstream 8 km/h. What is the distance between the ports? - Workers
Two workers would fulfill a certain task when working together for 10 days, the first if he worked himself done work in 17 days. How many days will the second worker do the whole job? - Discriminant
Determine the discriminant of the equation: 3x²+19=4 - Product
The sum and the product of three integers are 6. Write the largest of them. - Exp
If sqrt[7](20²-12²) = sqrt[n](256), then n is: - Root
The root of the equation (x-10)² +4 = x² +35x is (equal or greater or less than zero). ... - Observer
The observer sees a straight fence 100 m long in 30° view angle. From one end of the fence is 119 m. How far is it from the other end of the fence? - VAT
John paid 10 Euros in-store for the purchase. Calculate value-added tax (VAT), which is paid in the purchase, if the VAT rate is 20%. - Mean
If the mean of the set of data 12, 14, 16, 10, 1, 20, 19, 13, 3, 11, 11, 17, 14, 16, 5, x is -10.8, what is the value of x? - Drinking water
A man drinks a keg of water in 21 days, and a woman drinks in 43 days. How many days do they consume a keg together? - Forestry workers
84 laborers have employed planted trees in the forest. For 9 hour work, a day would end job in 38 days. After 18 days, 6 laborers go forth? How many days are needed to complete planting trees in nurseries by others if they work 12 hours a day? - Coordinate
Determine the unknown coordinate of the point M [x, 54] of the graph of the function f by rule: y = 3x - Circle
Write the equation of a circle that passes through the point [0,6] and touches the X-axis point [5,0]: (x-x_S)²+(y-y_S)²=r² - Homework
The monthly fee for the phone is 10 Eur and for the phone unit 0.06 Eur. How many families paid phones in the first quarter of Q1 if January 1 had on the counter 46674 units and on April 1 47495 units? - River
From the observatory 18 m high and 31 m from the riverbank, river width appears in the visual angle φ = 20°. Calculate the width of the river. - Triangle ABC
Calculate the sides of the triangle ABC with an area of 725 cm², and if sides are in a ratio a: b: c = 9:19:11 - Quarter circular
The wire hooked around the perimeter of the quarter-circular arc has a length of 14π+56. Determine the radius of the circle arc.
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