not sure how the first two pictures apply here, since they're just a single circle.
check the picture below.
the one on the left can have 3 common tangent lines, the one on the right, only two common ones.
Greetings!
The formula for the area of any triangle is as followed:

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<u>Let Statements:</u>
Let the variable...
→
represent the length of the base of the triangle
→
represent the length of the height of the triangle
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Using the information provided from the question, we can substitute its values in place of the variables and solve for the last remaining variable:

Distribute the parenthesis<em> (The Distributive Property) </em>:


Reduce the fraction to lowest terms:

Add -6 to both sides of the equation:


Divide both sides of the equation by 2:


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The Answer to this Problem is:

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I hope this helped!
-Benjamin
Answer:
If a certain cone with a height of 9 inches has volume V = 3πx2 + 42πx + 147π, what is the cone’s radius r in terms of x?
Step-by-step explanation:
V = 3πx2 + 42πx + 147π
V=3π(x2 + 14x +49)
9.42(x2 + 14x +49)
9.42(x2 + 14x +14) -14 + 49= 0
9.42(x + 7)^2 + 35= 0
9.42(9.42(x + 7)^2 = - 35)9.42
(x + 7)^2 = - 35/9.42)
√(x + 7)^2=√- 35/9.42
x + 7 = - 1.927
x= - 1.927 - 7
x= - 8.927
V = 3π(- 8.927)^2 + 42π(- 8.927) + 147π
V=750.69 - 1177.29 + 461.58
<u>V=34.98</u>
h= 9 inches
V = 13πr2h
34.98 = 13(3.14) (r^2) (h)
34.98 = 40.82 (r^2) 9
34.98 = 367.38 r^2
34.98/ 367.38 = 367.38 r^2/ 367.38
0.095= r^2
Answer:
Factor the numerator and denominator and cancel the common facotors which would give you 0.07843137
128 mm is the corrrect but not corre I by score u should.