Advertisements
Advertisements
Question
Make x the subject of the formula a = `1 - (2"b")/("cx" - "b")`. Find x, when a = 5, b = 12 and
Advertisements
Solution
a = `1 - (2"b")/("cx" - "b")`
⇒ a - 1 = `- (2"b")/("cx" - "b")`
⇒ (a - 1)(cx - b) + 2b = 0
⇒ acx - ab - cx + 3b = 0
⇒ x(ac - c) + b(3 - a) = 0
⇒ xc(a - 1) = -b(3 - a)
⇒ x = `("b"("a" - 3))/("c"("a" - 1)`
Substituting a = 5, b = 12 and c = 2, we get
x = `(12(5 - 3))/(2(5 - 1)`
= `(12 xx 2)/(2 xx 4)`
= 3.
APPEARS IN
RELATED QUESTIONS
The simple interest on a sum of money is the product of the sum of money, the number of years and the rate percentage. Write the formula to find the simple interest on Rs A for T years at R% per annum.
The fahrenheit temperature, F is 32 more than nine -fifths of the centigrade temperature C. Express this relation by a formula.
The arithmetic mean M of the five numbers a, b, c, d, e is equal to their sum divided by the number of quantities. Express it as a formula.
Make a formula for the statement:"The number of diagonals, d, that can be drawn from one vertex of an n sided polygon to all the other vertices is equal to the number of sides of the polygon less 3"
Apple cost x rupees per dozen and mangoes cost y rupees per score. Write a formula to find the total cost C in rupees of 20 apples and 30 mangoes.
If b = `(2"a")/("a" - 2)`, and c = `(4"b" - 3)/(3"b" + 4)`, then express c in terms of a.
Make y the subject of the formula x = `(1 - y^2)/(1 + y^2)`. Find y if x = `(3)/(5)`
Make f the subject of the formula D = `sqrt((("f" + "p")/("f" - "p"))`. Find f, when D = 13 and P = 21.
Make z the subject of the formula y = `(2z + 1)/(2z - 1)`. If x = `(y + 1)/(y - 1)`, express z in terms of x, and find its value when x = 34.
"The volume of a cone V is equal to the product of one third of π and square of radius r of the base and the height h". Express this statement as a formula. Make r the subject formula. Find r, when V = 1232cm3, π = `(22)/(7)`, h = 24cm.
