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2 years ago

FIND THE DISTANCE BETWEEN THE POINTS. ROUND THE ANSWER TO TWO DECIMAL POINTS (3,2) (8,2)

Mathematics

1 answer:

defon2 years ago

5 0

Answer:5

Step-by-step explanation:

If you are looking for the distance then start counting on the first decimal and stop at the second

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Points are: A= (-2,7)B= (3,5)C= (1,0) To show that the triangle is a right triangle, show that the sum of the squares of the len

Gala2k [10]

The sum of the squares of the lengths is 58

The square of length of the hypotenuse is 58

From the question, we have

AB² = (-2-3)² +(7-5)²= 25+4 =29

BC² = (3-1)²+(5-0)²=4+25=29

AC² = (-2-1)²+(7-0)² = 9+49 = 58

Here we can see that,

AB²+BC² = AC²

The sum of the squares of the lengths of two sides (the legs) equals the square length of the third side (hypotenuse).

the sum of the squares of the lengths = AB²+BC² =29+29 = 58

the square of length of the hypotenuse= 58

Pythagoras Theorem:

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side. When the positive integer sides of a right triangle (let's say sides a, b, and c) are squared, the result is an equation known as a Pythagorean triple.

To learn more about pythagoras theorem visit: brainly.com/question/343682

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1 year ago

A shopper purchased 4 tables and 2 chairs for $200 and 2 tables and 7 chairs for $400. What is the cost of each table and each c

I am Lyosha [343]

4t+2c=200
2t+7c=400

I will solve for c in terms of t first
4t+2c=200
2c=200-4t
c=100-2t

Then I will substitute this in for c in the second equation to make it single variable
2t+7c=400
2t+7(100-2t)=400
2t+700-14t=400
300t=12
t=25
Tables cost $25 each

Plug t back into one of the ORIGINAL equations to find the cost of chairs
4(25)+2c=200
100+2c=200
2c=100
c=50
Chairs cost $50 each

Hope this helps! :)

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3 years ago

PLEASE HELP QUIKLY THIS IS DUE TODAY I WILL GIVE U POINTS THE PICTURE TO THE PROBLEM IS BELOW!!!! Ms. Jackson wrote a question o

poizon [28]

What dose the chart mean could be a question

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3 years ago

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How many different ways are there to choose a subset of the set {1,2,3,4,5,6} so that the product of the members of the subset i

zvonat [6]

You have to pick at least one even factor from the set to make an even product.

There are 3 even numbers to choose from, and we can pick up to 3 additional odd numbers.

For example, if we pick out 1 even number and 2 odd numbers, this can be done in

$\dbinom 31 \dbinom 32 = 3\cdot3 = 9$

ways. If we pick out 3 even numbers and 0 odd numbers, this can be done in

$\dbinom 33 \dbinom 30 = 1\cdot1 = 1$

way.

The total count is then the sum of all possible selections with at least 1 even number and between 0 and 3 odd numbers.

$\displaystyle \sum_{e=1}^3 \binom 3e \sum_{o=0}^3 \binom 3o = 2^3 \sum_{e=1}^3 \binom3e = 8 \left(\sum_{e=0}^3 \binom3e - \binom30\right) = 8(2^3 - 1) = \boxed{56}$

where we use the binomial identity

$\displaystyle \sum_{k=0}^n \binom nk = \sum_{k=0}^n \binom nk 1^{n-k} 1^k = (1+1)^n = 2^n$

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1 year ago

Solve for m:<br> n + m - a = d

Musya8 [376]

The answer is m=a+d-n

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3 years ago

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