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Alecsey [184]
3 years ago
8

Which of the following is a key element in the proof of the law of cosines?

Mathematics
2 answers:
Mariulka [41]3 years ago
4 0
The best and most correct answer among the choices provided by the question is the fourth choice "d=square root of (x^2+x^1)+(y^2-y^1)^2"
The law of cosines<span> for calculating one side of a triangle when the angle opposite and the other two sides are known. Can be used in conjunction with the </span>law<span> of sines to find all sides and angles. </span>

I hope my answer has come to your help. God bless and have a nice day ahead!
Vikentia [17]3 years ago
4 0

The <em><u>correct answer</u></em> is:

D) d=√((x+x¹)+(y²-y¹)² )

Explanation:

The distance formula is a key component to the proof of the law of cosines.

First we define sin θ = y/b and cos θ = x/b, using the standard law of cosines diagram.

We then use the distance formula, replacing the second y coordinate with 0 and the second x coordinate with a.

We then substitute our values for sin θ and cos θ, square them and simplify.

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(2,0) (5.0) (5,3) (2,3)
(2,0) (-1,0) (2,3) (-1,3)
3 0
3 years ago
Suppose X and Y represent two different school populations where X &gt; Y and X and Y must be greater than 0. Which of the follo
Stells [14]

Answer:(X+Y)²

X²+Y² would be greater than X²-Y² since addition gives a greater result than subtraction.

X²+Y² would be greater than 2(X+Y); this is because 2(X+Y) = 2X+2Y, which will be less than X²+Y², since X>Y.

(X+Y)² = (X+Y)(X+Y). This can be simplified using the distributive property:

X(X)+X(Y)+Y(X)+Y(Y) = X²+XY+YX+Y² = X²+2XY+Y². This is greater than X²+Y².

7 0
3 years ago
Read 2 more answers
A restaurant will select 1 card from a bowl to win a free lunch, jimmy puts 10 cards in the bowl. The bowl has a total of 150 ca
Phantasy [73]

The odds of jimmy winning a free lunch is 0.066.

<h3>What is Probability ?</h3>

Probability is the likeliness of an event to happen.

It is given that

A restaurant will select 1 card from a bowl to win a free lunch,

jimmy puts 10 cards in the bowl.

The bowl has a total of 150 cards in it

The odds of jimmy winning a free lunch is given by

= No. of chances / Total Outcomes

= 10/150

= 1/15

= 0.066

Therefore the odds of jimmy winning a free lunch is 0.066.

To know more about Probability

brainly.com/question/11234923

#SPJ1

3 0
2 years ago
Write the equation of a line that has a slope of -4 and goes through (-2,7).
Anni [7]

Answer:

y = -4x - 1

Step-by-step explanation:

Equation of a line is given as:

y = mx + b

Where

m is the slope

and

b is the y-intercept (y-axis cutting point)

Since we know slope is -4, we can write:

y= mx + b

y = -4x+ b

Given the point (-2,7) , we can say:

x = -2

and

y = 7

Plugging these 2 values, we can solve for b:

y = -4x + b

7 = -4(-2) + b

7 = 8 + b

b = 7 - 8

b = -1

Now, we have the equation:

y = -4x - 1

7 0
3 years ago
Find the first two expressions in the sequence ___, ___, 4x+5, 5x+7, 6x+9, 7x+11, 8x+13...
Gwar [14]
You can see that you add 1x to each expression in the sequence, which means that the first expression will be 2x, and the second one 3x. You also add 2 to each x, which means that the first expression will be 1, and the second one 2.
2x+1, 3x+3, 4x+5, 5x+7, 6x+9, 7x+11, 8x+13....
7 0
3 years ago
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