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muminat
3 years ago
13

Nathan wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram A

BCD in the coordinate plane so that A is (0, 0), B is (a, 0), C is (a, b), and D is (0, b).
What formula can he use to determine the distance from point C to point D?

Mathematics
2 answers:
Fynjy0 [20]3 years ago
7 0
The formula used to find the length of a line segment is the same formula as the Pythagoras theorem.

We take CD as the hypotenuse of the right-angled triangle and the distance between the x-coordinates and y-coordinates as the length of two short sides.

We can write the formula as
CD = \sqrt{( x_{1}- x_{0})  ^{2}+ ( y_{1}- y_{0})  ^{2}  }
CD = \sqrt{(a-0)^{2}+ (b-b)^{2}  }

lyudmila [28]3 years ago
4 0

Wrong on apex is is a-0+(b-b)2=a2=a

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Answer:

See explanations below

Step-by-step explanation:

Given the functions

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Replace x with x/12 - 1 into f(x)

f(g(x)) =12((x-12)/12) - 11

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Similarly for g(f(x))

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2 years ago
A stadium's normal ticket price is $78. As a special promotion they offer 15% off. What is the price of the discounted ticket?
meriva
You have to find out what 15% of $78 dollars is.  If you have to do this in your head and not on a calculator you can find 10%, then cut that number in 1/2 and add it to the answer.  So 10% of $78 is 7.8 so $7.80.  You can divide 7.80 by 2 and get 3.9 and add that to 7.8 which is 11.70.  So 15% of $78 is $11.70. 
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