Select all systems of equations that have no solutions.
2 answers:
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Answer:
There are 16 cows and 24 chickens in the farm.
Step-by-step explanation:
A Cow has 4 legs
Chicken has 2 legs.
Lets take there chickens AND,
there are number of Cows.
Now we can write two equations for the number of heads and legs.
For the number of heads we can write,
<--------- 1st equation
For the number of legs we can write,
<------ 2nd equation
We can now solve the simultaneous equations to find and
Multiply 1st equation by 2 and deduct it from 2nd equation to remove
⇒
⇒
⇒
⇒
Therefore, there are 16 cows in the farm.
Now we can substitute the value to the 1st equation and find
value.
Therefore, there are 24 chickens in the farm.
So, the triangle is equilateral, all its sides are equal⇒
AB=BC=AC=8
In an equilateral triangle, the height is also the median, so it divides the sides into 2 equal parts⇒
AO=OC=8:2=4
by the Pythagorean theorem
Answer: BO=4√3
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