Which expression represents the length of the hypotenuse, c, of the triangle below? C

b

a? - 62

va2 +62

a? + b2

a2

62

Length of hypotenuse = √( a² + b²)

Step-by-step explanation:

The question is incomplete and unclear. From the question, it is clear we are to determine the hypotenuse of the triangle. Hence the triangle is a right angled triangle.

Find attached the diagram used in solving the question.

From the diagram,

a = opposite

b = adjacent

c = hypotenuse

To find the hypotenuse of a right angled triangle, we apply Pythagoras theorem.

Using Pythagoras theorem

Hypotenuse² = opposite ² + adjacent²

Insert the values of each, we have:

c² = a² + b²

Then we find the Square root both sides

c = √( a² + b²)

So we can insert the values of a and b if we are given.

For instance, if b = 6

c = √( a² + 6²)

Using the diagram,

Hypotenuse: c = √( a² + b²)

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)