Find the equation of the line passing through the point (-3,8) which is perpendicular to the line defined by the equation y = 3x − 4.
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The line passing through the points A(k,4) and B(3,2k) is parallel to the line y + 3x − 4 = 0. Find the value of k.
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Determine the equation of a line which passes through the point N(5,0) and is parallel to the line 3x + 4y = 12.
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Find the coordinates of a point of a line presented by 2x − 3y + 7 = 0, which is equi-distant from the points (-4,-8) and (7,1).
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Find the equation of the straight line joining the point O(0,0) to the mid-point of the line joining A(3,2) and B(5,-1).
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Find the coordinates of the midpoint of the line joining the points (-2,8) and (-4,-2)
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Calculate the volume of the earth
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A small business sells products worth 1,000,000 Tshs during its first year. The owner of the business has set a goal of increasing annual sales by 750,000 Tshs each year. Assuming this goal is met, find the total sales during the first 10 years of the business in operation.
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Given two circles having radius 14 cm and 7 cm
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i) find their corresponding area.
ii) verify that the ratio of the areas of any two circles equals the square of the ratio of their radii (use π = 22/7)
John wants to invest a certain sum of money so that its value after 3 years will be sh. 100,000/=. How much should he invest at 5% p.a. compound interest?
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