(a) X, y and z are such that x varies directly as z and inversely as the cube root of y. If x = 8, 27 and z = 4, find: (i) (ii) an expression for x in terms of y and z. value(s) of y when x = 12 and z = 10. (b) The area of a rectangle is 6m². If the length is 1m longer than the width. Find the dimension of the rectangle (a) In the diagram below, RS is a tangent at S. The circle PQS is the circum-circle ofAPQS. If QRS = 340 and PSQ = 61º. Calculate QŚR.

Q: y=1+Jx+5

A:

Q: Determine whether the following is an equation or an expression.   2/x=4/3x+1/3

A:

Q: Determine the units of the variable x in each of the following equations, and specify which rule you…

A: It is clear that 'kg' is used to denote kilograms, 'm' is used to denote meters and 's' is used to…

Q: Find the value of each expression if x = 2 and y = - 1. √x2 + √y2

A: The given expression is, x2+y2 We need to find the value of the given expression if x=2 and y=-1

Q: Find the inverse of A. Find A? 105 216 340

A:

Q: Assume that y varies jointly with x and the square root of z. If  y=48 when x=4 and z=16, then find…

A:

Q: Martina wants to canoe on the Lamine River 24 km upstream and 36 km downstream. Her rate in still…

A: Step 1:Step 2:

Q: Identify the constant of variation and equation for the inverse variation. {(1,9), (-1,-9),…

A: According to the problem

Q: y varies jointly as a and​ b, and inversely as the square root of c. y=154 when a=11, b=7, and c=25.…

A: We will find out the required value.

Q: If y varies inversely with the square of x, and y =7 when x=2, find y when x=01. y- (Simplity your…

A: We have, y varies inversely with the square of x. Therefore, y∝1x2 On removing the proportionality…

Q: Express the following as a single power of the variable: (x-2)-3 a²x xa 4x a. C. b. d. le

A: We knew that (ab)c=abca. (x-2)-3=x(-2)×(-3)=x6