Which of the following will form a right triangle?
7, 24, 25
7, 23, 24
7, 25, 26

I noticed a pattern:

Any side with an odd value followed by 2 consecutive numbers such as their sum is the square of the side will form a right triangle.

For instance:

3, 4, 5

3^2 = 4+5

Another one:

5, 12, 13

5^2 = 12+13

Check with Pythagorean Theorem:

a^2 + b^2 = c^2

3^2 + 4^2 = 5^2

9 + 16 = 25

5^2 + 12^2 = 13^2

25 + 144 = 169

Now we can apply that to these 3 options:

7, 25, 26

Check with Pattern: 7^2 25+26

Check with Pythagorean Theorem: 7^2 + 25^2 26^2

7, 23, 24

Check with Pattern: 7^2 23+24

Check with Pythagorean Theorem: 7^2 + 23^2 24^2

7, 24, 25

Check with Pattern: 7^2 = 24+25

Check with Pythagorean Theorem: 7^2 + 24^2 = 25^2

So that's our 7, 24, 25

sorry i just need to anwers this to get points

step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.