In the equation 6x^2+7x-49 how does 7x become -14x and 21x?

See the explanation.

Step-by-step explanation:

Given function is

We will find its root by factoring.

In any quadratic function of the form

We will two numbers that when multiplied gives . And when that two numbers are added it turns to .

So, in .

And

So, we need to find two numbers that when multiplied give ,and when added give .

Now, we can see

In this manner, we can rewrite as .

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

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have