How do you multiply 23.50*23.74
1 answer:
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Start by calling the shortest side 
. We then know that the longer leg (call it 
) is 7 feet longer i.e. 
. We also know that the hypotenuse, 
is 1 foot more than twice the short leg i.e. 
. We now have 3 unknowns but only 2 equations to solve them. Luckily we know this is a right triangle so we can use the Pythagorean Theorem as our third equation:
Substituting known values:
This is now an equation in one variable and can be solved algebraically for. Back-substitution can then be used for the other sides.
Substituting known values:
This is now an equation in one variable and can be solved algebraically for
Answer:
a.
b. The slope represents the common difference
c.
d.
Step-by-step explanation:
Given:
The graph
<u>Solving (a): The equation</u>
First, we pick any two corresponding points on the graph
Next, we calculate the slope using:
The equation is then calculated as:
Make y the subject
<u>(b) Interpret the slope</u>
In (a) above, the slope is calculated as:
This represents the common difference of the sequence;
<u>(c) Represent as an arithmetic sequence</u>
We have the following points from the graph:
This means that: The first term is 2; the second is 4, the third is 6.....
So, we have:
--- First Term
--- Difference
The nth term of an AP is:
This gives:
Collect Like Terms
<u>(d) Find a10</u>
To do this, we simply substitute 10 for n in
So, we have: