The LCD is x^2+3x+2 = (x+2)(x+1)
The goal is to get each fraction to have the denominator be equal to the LCD
Afterward we can add the fractions
x/(x^2+3x+2) + 3/(x+1)
x/((x+2)(x+1)) + 3/(x+1)
x/((x+2)(x+1)) + (3(x+2))/((x+2)(x+1))
(x+3(x+2))/((x+2)(x+1))
(x+3x+6)/(x^2+3x+2)
(4x+6)/(x^2+3x+2)
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Final Answer: 4x+6
Note: you can factor 4x+6 to get 2(2x+3)
Well, apologies if this is wrong but in my opinion, I think it's that The angles do not change. This is because the angles are alright staying in the same place. I don't understand much about angles but it makes the most sense to me.
Answer:
Step-by-step explanation:
In general, a scale factor is applied to an original (pre) to obtain an image (post). It is the ratio post/pre that expresses the relationship between image dimensions and original dimensions.
Here, that post/pre ratio is 3/4 = 0.75.
<h2>
At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.</h2>
Step-by-step explanation:
We have equation for volume of a sphere

where r is the radius
Differentiating with respect to time,

Given that
Radius, r = 24 cm

Substituting

At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.