2^3z^9
A for question 1=8z^9
(-8ab)^2
(-8^2a^2b^2)
A for question 2=64a^2b^2
6 (x^3)^2
6 x^6
6x^6
Enjoy!=)
Answer:
5:2
Step-by-step explanation:
Start with what the question is asking for, which is the ratio of math problems to minutes.
With ratios "to" also means ":", so you can change it to math problems : minutes.
Then, substitute the numbers for the labels. Math problems = 10 and minutes = 4, so now you have 10:4
Lastly, to simplify the ratio, find the greatest common factor, in this case 2, and divide both sides, which gives you your answer 5:2
Answer: - 9 .
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Explanation:
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7 + 6x = -47 ; solve for "x" ;
subtract "7" from each side;
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7 + 6x - 7 = -47 - 7 ;
to get:
6x = -54 ;
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Now, divide EACH side of the equation by "6"; to isolate "x" on one side of the equation; and to solve for "x" ;
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6x / 6 = -54 / 6 ;
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x = -9 ; which is our answer.
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Answer:
Regular Pentagon
Step-by-step explanation:
A regular icosahedron is a twenty-faced polyhedron, each face being an equiangular triangle. Each vertex is joined together by 5 faces, therefore the polygon formed at each vertex is a regular pentagon.
We can also figure out the number of faces at each vertex using Euler's formula
F+V=E+2
F=number of faces = 20
E=number of edges = number of triangular faces * edges/triangle /2
(since each edge is shared between two faces)
= 20*3/2
=30
Number of vertices
= E+2-F = 30+2-20 = 12
So number of edges meeting at each vertex
= 30 / (12/2) = 30/6 = 5
(12/2 because each edge joins two vertices).
See attached figure, courtesy of Wikipedia.