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4 years ago

15

Explain the distance formula then use it to calculate the distance between A(1, 1)and B(7, -7)

1 answer:

lbvjy [14]4 years ago

4 0

The <u>Distance Formula</u> = $\sqrt{( X_{2} - X_{1}) ^{2}+( Y_{2} - Y_{1}) ^{2}}$
A(1,1) ⇒ the first 1 is $X_{1}$ & the second 1 is $Y_{1}$ .
B(7,-7) ⇒ the first 7 is $X_{2}$ & the second is -7 is $Y_{2}$ .
Now all you have to do is SUBSTITUTE the variables into the distance formula to get: $\sqrt{(7-1) ^{2}+(-7-1) ^{2}}$ .
After you plug that formula into your graphing calculator (or solve it manually & mentally), you should end up with the answer 10, therefore d=10.

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Yes, the price the school pays each year in entrance fees is proportional to the number of students entering the zoo

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Relationships between two variables is proportional if their ratios are equivalent.

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Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = $1260:84=15:1$

In 2011, the school paid $1,050 for 70 students to enter the zoo.

Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = $1050:70=15:1$

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Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = $1,395:93=15:1$

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the price the school pays each year in entrance fees is proportional to the number of students entering the zoo.

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