14. eight less than four times a number
15. eight decreased by four times a number

14. 8 < 4x

15. 8 - 4x

Step-by-step explanation:

Eight -> Number 8

Less than -> Inequality Words -> Less than sign (<)

Decreased -> Negative Words -> Subtract

Times -> Multiply

'A Number' -> A hidden variable -> Typically known as 'x'

14:

4 × n - 8

15:

8 - 4 × n

Step-by-step explanation:

                                        Hello There

1. For number 14, less than is a turn around word, so that means it goes at the end of the expression.

2. 4 times a number means multiplication, so you put that at the start. A number would equal n.

3. Your answer is 4 × n - 8.

1. For number 15, 8 decreased by is not a turn around word, so do not put it at the end.

2. 4 times a number, same thing as number 14 except PUT IT AT THE END.

3. Your answer is 8 - 4 × n

Hope this helped!

~delightedsunrise8

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).