If two sides of a right angled triangle are 5cm and 6cm long, how many possibilities are there for the length of the third side?

The other side is either 7.81 cm or 3.32 cm.

Step-by-step explanation:

The two sides of a right triangle are 5 cm and 6 cm.

There are three different ways this can happen.

1. 5 cm and 6 cm are the two legs of the 90° angle and hence, the hypotenuse is the third side.

Now, applying Pythagoras Theorem,

Hypotenuse = cm.

2. Then one leg of the right angle is 6 cm and 5 cm is the hypotenuse.

But as 5 < 6, so, this is not possible as the length of the hypotenuse is more than the lengths of the legs.

3. 6 cm is the length of the hypotenuse and one leg is 5 cm.

The applying the Pythagoras Theorem, the length of the other leg will be given by cm. (Answer)

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value