x^2 - 10x + 21 / x^2 -6x -7

Step-by-step explanation:

Given

← factorise numerator/ denominator

x² - 10x + 21 = (x - 7)(x - 3)

x² - 6x - 7 = (x - 7)(x + 1)

The expression can be written as

= ← cancel the common factor (x - 7) on numerator/denominator

=

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere