Answer:
When a polynomial is in standard form, the value of each exponent is less than the one before it. It is only in standard form when this is true.
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Answer:
Width= 85
Length= 485
Step-by-step explanation:
The width will be x, and the length will be x + 400, since it is 400 more than the width.
We know that the perimeter of a rectangle can be found using the equation 2w + 2l.
We plug in the values we have found.
2(x) + 2(x+400) = 1140
4x + 800 = 1140
4x = 340
x = 85
Now we know the width, since it is simply x. To find length all we have to do is add 400.
400 + 85 = 485
28.8 degrees
tan-1 = 71/81
Answer:
Step-by-step explanation:
It's a matter of being consistent in a pattern:
Let a be a number. If a^(-3) is the first number, it's equal to 1 / a^3.
Next:
1 / a^2
1 / a^1
?? To fit into this pattern, a^0 must equal 1.
a^1
a^2
a^3
and so on.
Try this same exercise with a = 2:
2^(-2) = 1/4
2^(-1) = 1/2
?? This number has to be 1 to fit the pattern. 2^0 = 1. Note that each
term is 2x the previous term: 2(1/4) = 1/2; 2(1/2) = 1; 2(1) = 2; 2(2) = 4,
and so on. Again, 2^0 must = 1 to fit into this sequence.
2^1 = 2
2^2 = 4
