Answer:
4√3
Step-by-step explanation:
The distance formula applies. It tells you ...
distance = √((x2 -x1)² +(y2 -y1)²)
Filling in the given values, you have ...
distance = √((-√32 -(-4√2))² +(2√3 -(-√12))²)
= √((-4√2+4√2)² +(2√3 +2√3)²)
= √(0 + (4√3)²)
distance = 4√3
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We make use of the fact that ...

Answer:
The number of ducks Old Mc Donald raises are 23 and the number of cows Old Mc Donald raises are 77.
Step-by-step explanation:
We are given that Old Mc Donald raises ducks and cows. The animals have a total of 100 heads and 354 feet.
Let the number of ducks Old Mc Donald raises be 'x' and the number of cows Old Mc Donald raises be 'y'.
So, according to the question;
- The first condition states that the animals have a total of 100 heads, that means;
-------------------- [equation 1]
{because one head of a duck and one head of cow}
- The second condition states that the animals have a total of 354 feet, that means;
--------------- [equation 2]
{because there are two feet of a duck and four feet of cow}
Now, putting the value of x in equation 2 we get;


y = 77 cows
Putting this value of y in equation 1 we get;
x = 100 - y
x = 100 - 77 = 23 ducks
Hence, the number of ducks Old Mc Donald raises are 23 and the number of cows Old Mc Donald raises are 77.
Hey, I'm assuming you mean five refrigerators every eight hours. So . . .
1250 divide by 5. Which gives you 250.
Then take that 250 and multiply it by 8, and you have 2000.
So it would take 2000 hrs for a factory, that can produce 5 refrigerators every eight hours to, produce 1250 refrigerators.