Question
The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.
Answer:


Step-by-step explanation:
Let the hypotenuse be y and the other legs be x.
So:

Required
Determine the exact dimension of the triangle
Using Pythagoras theorem;


This gives:

Open bracket

Collect like terms


Using quadratic formula:




Split


x can not be negative.
So:


Recall that:



Hence, the dimensions are:


Answer:
9 students chose duck
Step-by-step explanation:
The question says "6 <em><u>more</u></em> students chose duck <em><u>than</u></em> chose penguin"
This means that you would add 6 to the number that chose penguin, which is 3.
6 + 3 = 9
Answer:
Step-by-step explanation:
74939e+1364
<8 ,
<7 and <8 form a linear pair
5 x 5 x 5
Expanded just means writing it out as you would solve it. So solving a cube would be multiplying the number by itself 3 times