Justify the Distance Formula using the Pythagorean Theorem.

Answers

Answer 1

Answer: Well, create a right triangle so that the segment you want to measure is the hypotenuse. The legs should be parallel to the two axes. The triangle could be degenerate (one of the legs has length 0). Find out the length of the legs, then, using Pythagoras' Theorem, find the hypotenuse.

Answer 2

Answer:

Step-by-step explanation:

Let's say we have a right triangle with vertices at A(0,0), B(10,0), and C(10,10).

As you can see, the triangle has side lengths of 10 and 10.

Let's now find the distance of the hypotenuse.

AC = $√(10^2+10^2)$

As you can see, this provides us the distance of the hypotenuse, or the line segment AC.

If we look at AC closer, we notice that AC is represented by points on the coordinate plane.

Now, try finding the distance between points A and C using the distance formula.

Distance = $√((10-0)^2+(10-0)^2)$

Distance = $√(10^2+10^2)$

As this is the same as AC, we can say that we have now derived the distance formula from the Pythagorean theorem.

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Cassie views the constellation with her telescope. The constellation is Aquarius. She received the telescope for her birthday.Cassie views the constellation with her telescope. The constellation is Aquarius. She received the telescope for her birthday. Combine the three sentences by adding appositives and/or appositive phrases and punctuating accordingly.

Answers

Here is the combined sentences from the given three sentences above:
Cassie views the constellation, Aquarius, with her telescope that she received for her birthday. The subject would be "Cassie" and the appositive in this sentence would be "Aquarius" and "that she received for her birthday". Hope this answer helps.

Answer:

Cassie views the constellation, Aquarius, with her telescope that she received for her birthday.

Step-by-step explanation:

The subject would be "Cassie" and the appositive in this sentence would be "Aquarius" and "that she received for her birthday

A=bh (isolate h) what is the Area Premitmetrr and height

Answers

Answer:

h = A / b

Step-by-step explanation:

A represents the area of the rectangle or parallelogram.

b represents the length of one of the sides (base) of the rectangle or parallelogram.

h represents the height, which is the perpendicular distance between the base and the opposite side.

So, if you know the values of A (area) and b (base), you can use this formula to calculate the height (h).

"Mia jogs 3 kilometers in 20 minutes. There are about 0.6 miles in a kilometer. What is Mia’s approximate speed in miles per minute?A. 0.25 miles per minute
B. 0.09 miles per minute
C. 4 miles per minute
D. 11 miles per minute"

Answers

First we need to find Mia's speed (v) in km/min

v = distance travelled/ time
v = 3 km/20 minutes
v = 0.15 km /min

in order to convert the speed into mile/min, we need to use the conversion factor given in which for every kilometer, there is 0.6 miles.

v = 0.15 km/min *(0.6 miles/ km)
v =0.09 miles/min

therefore the speed in miles/min is 0.09 miles/min

Answer:

Step-by-step explanation:

I smartest I'm know its B

Anyone know the answer?

Answers

Hi there your answer would be d

The answer is D. 77.

If a plane departed at 12:30 A.M. and arrived at 8:15 A.M., what was the length of time for the flight?

Answers

Seven hours and fourty five minutes

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