To do linear equations, basically, just imagine it with an equals sign. It is pretty much the same as normal algebra, so it's not too confusing.
An example of a linear equation is 3x - 7 = 11
with this, your objective is to get 'x' on its own and to do this, do inverse operations (the opposite to what is actually done)
For instance, to get '3x' on its own, you must add 7.
So do this for both sides to give you
3x = 18
Yeah?
Now you must get 'x' on its own. It currently has 3 x's at the moment, so you must divide it by 3 to give you one 'x'. A rule with these - what you do to one side you must do to the other.
So this means that if you divide 3x by 3, you must divide 18 by 3.
This leaves you with x = 6.
To find the hypotenuse of a 45 45 90 triangle, multiply the leg by sq root (2)
8 * sqrt(2) = 8 *
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1.4142135624
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=
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11.313708499
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Source:
http://www.1728.org/trig2.htm
3.44. The number of 4.3 isn’t multipled by a number greater than one, it becomes smaller
Answer: (52,72) (52 adults and 72 children)
Step-by-step explanation:
1) Create 2 formulas that show the information show above, 2.5x+2y=274 showing how the x is how many adults paid for a ticket and y is how many children paid for a ticket. The second formula being x+y=124 meaning the combination of children and adults equal 124 people.
2) Take those formulas and input them into a graph as shown in the picture (Graph 1)
3) Find the common point shown on the graph (should be the middle grey dot if on Desmos as shown (Graph 2)
4) The common point is (52, 72)
And if you plug these numbers in by replacing the x's and y's i shown in step 1 they bring an output of 274 and 124
Hope this helps :)