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SCORPION-xisa [38]
3 years ago
5

Which relation is a function

Mathematics
1 answer:
Anon25 [30]3 years ago
3 0
\{(\boxed{2};\ 3);\ (1;\ 5);\ (\boxed{2};\ 7)\}-NO\\\\\{(-1;\ 5);\ (-2;\ 6);\ (-3;\ 7)\}-YES\\\\\{(\boxed{11};\ 9);\ (\boxed{11};\ 5);\ (9;\ 3)\}-NO\\\\\{(\boxed{3};\ 8);\ (0;\ 8);\ (\boxed{3};\ -2)\}-NO
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Which of the following sets of lengths can Sean use to make a right triangle?
love history [14]

If we know your Pythagorean Triples we can immediately recognize that the last choice is a right triangle:

8² + 15² = 17²

If you don't know your Pythagorean Triples, it's worth learning the first few off the list because teachers use them in problems all the time.  But for now let's just exhaustively check the Pythagorean Theorem for each triangle.  We don't have to multiply everything out; we can analyze the common factors.  If two have a common factor that the third one doesn't have, there's no way for the Pythagorean Theorem to add up.

Clearly 5²+15² is a multiple of 5 but 18² isn't so that one isn't a right triangle.

6²+12² is a multiple of 6, 16² isn't a multiple of 6, not an RT.

15²-5² is a multiple of 5, 13² isn't, no joy.

8²+15² = 64 + 225 = 289 = 17² -- that's a real right triangle, a valid Pythagorean Triple.

5 0
3 years ago
Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ
Nata [24]

Answer: 5x-3y=44

Step-by-step explanation:

We know that , the equation of a line that passes through (a,b) and (c,d) is given by :_

(y-b)=\dfrac{d-b}{c-a}(x-a)

Standard form of equation of line = Ax+By=C

Given points =  (7, -3) and (4, -8)

Then, the equation of a line that passes through the points . (7, -3) and (4, -8) is given by -

(y-(-3))=\dfrac{-8-(-3)}{4-7}(x-7)

(y+3)=\dfrac{-8+3}{-3}(x-7)   [∵ (-)(-)=(+)]

(y+3)=\dfrac{-5}{-3}(x-7)

(y+3)=\dfrac{5}{3}(x-7)

3(y+3)=5(x-7)

3y+9=5x-35

9+35=5x-3y

44=5x-3y

Or 5x-3y=44

Hence, the required equation :-5x-3y=44

4 0
3 years ago
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Aleks04 [339]
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3 years ago
What is the domain and range of this graph
kupik [55]

Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set. further the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

I hope it will help =)

5 0
3 years ago
What makes the sentence true 1\2=?/12
bagirrra123 [75]
It would be 1/2 = 6/12
6 0
3 years ago
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