Answer:
3
Step-by-step explanation:
The correct answer is:
3
Explanation
review
△WXY~△GEF.
6
3
6
Y
X
W
2
1
2
F
E
G
What is the similarity ratio of △WXY to △GEF?
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
If two triangles are similar, their similarity ratio is the ratio between a side length in the first triangle and the corresponding side length in the second triangle.
solve
Look at the triangles.
6
3
6
Y
X
W
2
1
2
F
E
G
The similarity ratio of △WXY to △GEF is the ratio between a side length in △WXY and the corresponding side length in △GEF. So, the similarity ratio is
WX
EG
=
3
1
=3.
<span>If you plug in 0, you get the indeterminate form 0/0. You can, therefore, apply L'Hopital's Rule to get the limit as h approaches 0 of e^(2+h),
which is just e^2.
</span><span><span><span>[e^(<span>2+h) </span></span>− <span>e^2]/</span></span>h </span>= [<span><span><span>e^2</span>(<span>e^h</span>−1)]/</span>h
</span><span>so in the limit, as h goes to 0, you'll notice that the numerator and denominator each go to zero (e^h goes to 1, and so e^h-1 goes to zero). This means the form is 'indeterminate' (here, 0/0), so we may use L'Hoptial's rule:
</span><span>
=<span>e^2</span></span>
Answer:
25
Step-by-step explanation:
Expression: <em>(2⁸ ⋅ 5⁻⁵ ⋅ 19⁰)⁻² ⋅ (5⁻²/2³)⁴ ⋅ 2²⁸</em>
Inner-most powers: 2⁻¹⁶ • 5¹⁰ • 1 • 5⁻⁸/2¹² • 2²⁸
Combine like terms: 2¹² • 5²/2¹²
Cancel out: 5²
Solve: 25
Answer:
4
Step-by-step explanation:
2x+3(x-4)=8
2x+3x-12=8
5x-12=8
5x-12+12=8+12
5x=20
5x/5=20/5
x=4
