Solve the equation t+4/t+3/t-4=-16/t^2-4t

The given equation can be  written as

The factors of the equation is

Step-by-step explanation:

Given equation is

Now to solve the given equation:

Multiply the above equation into on both sides

Adding the like terms

Rewritting the above equation

We can solve this equation by synthetic division method

-1_|   5     -4       7     16

       0     -5       9    -16

    _______________

      5      -9       16     0

Therefore t+1 is a factor of this cubic equation

We have the quadratic equation

For quadratic equation the solution is

where a and b are coefficients of and x respectively

Here a=5 ,b=-9 and c=16

where

Therefore and

Therefore  the factors are t+1, and

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