Hello!
In order to find out the volume of any prism, you are to do length x width x height.
Because we only know the length and the width, we can multiply those to get started. 3 x 5 is 15, so we know that's what we can start with.
Because we know the volume, all we have to do is do h x 15 = volume (45). Now, what is height?
In order to find the height, we must find a number that, when multiplied by 15, equals 45.
So we can try out 3, which when multiplied by 15, equals 45.
That means 3 is your height.
Hope I helped! :)
Answer: First, you need to figure out 22 times 2 = 44. Then, you need to multiply the original ratio by 44 to get the answer.
Step-by-step explanation:
Answer:
C. {-5,-4, -3, 1, 2, 5}
Step by step explanation:
We have been given a graph and we are asked to find the domain of the relation represented in graph.
We can see that our graph is a series of unconnected points. Our function represents integer values. So we can see that our graph represents a discrete function.
Since we know that domain of a discrete function is set of inputs values consisting of only certain values in an interval. .
The set of first value from each of the given points would made domain of our function. Upon looking at our graph we can see that domain of our function is -5,-4, -3, 1, 2 and 5.
Therefore, option C is the correct choice.
The denominator( s ) we are given are
, and . The first thing we want to do is factor the expressions, to make this easier -

This expression is a perfect square, as ( x )^2 = x^2, ( 2 )^2 = 4, 2 * ( x ) * ( 2 ) = 4x. Thus, the simplified expression should be the following -

The other expression is, on the other hand, not a perfect square so we must break this expression into groups and attempt factorization -

Combining ( x + 2 )^2 and ( x + 2 )( x + 3 ), the expression that contains factors of each is ( x + 2 )^2 * ( x + 3 ), or in other words the LCM.
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9514 1404 393
Answer:
a8 = 4
Step-by-step explanation:
Put 8 where n is and do the arithmetic.
a8 = (1/2)(8) = 8/2 = 4
The 8th term of this arithmetic sequence is 4.