Answer:
-4 and -2
Step-by-step explanation:
(X+4)(x+2)
4×2=8
4+2=6
<h2>
Hello!</h2>
The answer is:
The third option:
2.7 times as much.
<h2>
Why?</h2>
To calculate how many more juice will the new can hold, we need to calculate the old can volume to the new can volume.
So, calculating we have:
Old can:
Since the cans have a right cylinder shape, we can calculate their volume using the following formula:

Where,

We are given the old can dimensions:

So, calculating the volume, we have:

We have that the volume of the old can is:

New can:
We are given the new can dimensions, the diameter is increased but the height is the same, so:

Calculating we have:

Now, dividing the volume of the new can by the old can volume to know how many times more juice will the new can hold, we have:

Hence, we have that the new can hold 2.7 more juice than the old can, so, the answer is the third option:
2.7 times as much.
Have a nice day!
Answer:
7
Step-by-step explanation:
Use secant-tangent product theorem.
1. Set up the equation
(x-3)(x-3+5) = (x-1)²
2. Solve
(x-3)(x+2) = (x²-2x+1)
(x²-x-6) = (x²-2x+1)
3. Solve for x
Subtract x² from both sides
-x-6 = -2x+1
Add 2x and 6 to both sides
x = 7