Answer:
1a expression
1b equation
1c equation
1d expression
1e expression
1f equation
Step-by-step explanation:
Equations have an equals sign, expressions do not
1a expression
1b equation
1c equation
1d expression
1e expression
1f equation
The 1st choice (x - 9, y - 3) is the correct answer.
Take any of the corresponding coordinate points to find the rule that represents the translation:
D —> D’
(3, 5) —> (-6, 2)
(3 - 9, 5 - 3) = (-6, 2)
Counting the units from graph also shows this translation rule, seeing that hexagon DEFGHI moved 9 units to the left and 3 units down.
Hope this helps :)
Answer:
24
Step-by-step explanation:
23+4⋅2−7
PEMDAS
Multiply first
23+8−7
Add and subtract from left to right
31-7
24
Answer: choice A) 7017
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Work Shown:
The first term is a_1 = 24 and we go up by 7 each time.
The common difference is d = 7
The nth term formula we'll use is
a_n = a_1 + (n-1)*d
a_n = 24 + (n-1)*7
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The 1000th term corresponds to n = 1000
Replace every n with 1000
Then use the order of operations (PEMDAS) to simplify
a_n = 24 + (n-1)*7
a_1000 = 24 + (1000-1)*7
a_1000 = 24 + (999)*7
a_1000 = 24 + 6993
a_1000 = 7017
First lets get the formula for a triangular prism

First lets plug in our numbers

It really doesnt matter how you multiply everything, but you end up with 119cubic feet.