Answer:
24 in²
Step-by-step explanation:
Hello there!
the figure shown is a triangular prism
The base is the triangle
So we need to find the area of the triangle using this formula

where b = base and h = height
The base (triangle) has a base length of 8 inches and a height of 6 inches
Having found the information we needed, we plug it into the formula
So

So the area of the base is 24 in²
1/3 ln(<em>x</em>) + ln(2) - ln(3) = 3
Recall that
, so
ln(<em>x</em> ¹ʹ³) + ln(2) - ln(3) = 3
Condense the left side by using sum and difference properties of logarithms:


Then
ln(2/3 <em>x</em> ¹ʹ³) = 3
Take the exponential of both sides; that is, write both sides as powers of the constant <em>e</em>. (I'm using exp(<em>x</em>) = <em>e</em> ˣ so I can write it all in one line.)
exp(ln(2/3 <em>x</em> ¹ʹ³)) = exp(3)
Now exp(ln(<em>x</em>)) = <em>x </em>for all <em>x</em>, so this simplifies to
2/3 <em>x</em> ¹ʹ³ = exp(3)
Now solve for <em>x</em>. Multiply both sides by 3/2 :
3/2 × 2/3 <em>x</em> ¹ʹ³ = 3/2 exp(3)
<em>x</em> ¹ʹ³ = 3/2 exp(3)
Raise both sides to the power of 3:
(<em>x</em> ¹ʹ³)³ = (3/2 exp(3))³
<em>x</em> = 3³/2³ exp(3×3)
<em>x</em> = 27/8 exp(9)
which is the same as
<em>x</em> = 27/8 <em>e</em> ⁹
Im not sure, but i think it should be
( -3, 1 )
( -3, -2 )
( -6, -3 )
1) (-7)3
2) PEMDAS; simplify (5-3)
3) 5^3, 5x5x5 and 125
4) -8^4
5) 36
6) 7
7) -100
8) 30
There ya go! Pretty sure they're all right!
I got D. When looking at the point where they intersect is -4, and 2 1/2. hope I helped the best I could