2 years ago

What is the exact distance from (-4, -2) to (3, 8) on the coordinate plane?

Mathematics

1 answer:

Veronika [31]2 years ago

7 0

Answer:

√149 units

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[3 - (-4)]² + [8 - (-2)]²

√(7)² + (10)²

√49 + 100

√149

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First, rewrite 17/25 and 13/20 so that they have a common denominator. Then, use to order 17/25 and 13/20

Elenna [48]

Answer:

The common denominator is 100 because they dont have a number lower so 20*5 is 100 and 25*4 gives you 100

Step-by-step explanation:

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2 years ago

Rei is barricading a door to stop a horde of zombies. She stacks boxes of books on a table in front of the door. Each box weighs

Alinara [238K]

Answer: The answer is $\textup{W}=70+30x.$

Step-by-step explanation: Given that Rei is barricading a door to stop a horde of zombies by satcking boxes of books on a table in front of the door.

The weight of each box is 30 kilograms and the weight of the table with 8 boxes on the top is 310 kilograms.

So, if 'g' denotes the weight of the table alone, then we have

$\textup{g}+8\times 30=310\\\\\Rightarrow \textup{g}+240=310\\\\\Rightarrow \textup{g}=310-240\\\\\Rightarrow \textup{g}=70.$

Therefore, the weight of the table without boxes is 70 kilograms.

Now, if 'W' is the total weight of the barricade, then it can be written as a function of 'x', the number of boxes Rei stacks on the table. The expression is as follows -

$\textup{total weight of the barricade}=\textup{weight of the table alone}+30\times \textup{number of boxes}.$