Answer: 51 uinits
The three numbers are x , x + 21 and x + 27.
The greatest of the 3 numbers is x + 27, so x + 27 has to be the hypotenuse.
----------------------------------------------
Pythagoras Theorem
----------------------------------------------
a² + b² = c²
x² + (x+21)² = (x+27)²
x² + x² + 42x + 441 = x² + 54x + 729
x² - 12x -288 = 0
(x - 24)(x + 12) = 0
x = 24 or x = -12 (rejected, length cannot be negative)
----------------------------------------------
Find hypotenuse
----------------------------------------------
Hypotenuse = x + 27 = 24 + 27 = 51 units
-----------------------------------------------
Answer: 51 units
----------------------------------------------
Answer: 512 times
Step-by-step explanation:
9514 1404 393
Answer:
(x, y, z) = (1, 2, 3)
Step-by-step explanation:
The equations that result from reduction to row-echelon form are ...
x = 0.4 +0.2t
y = 5.6 -1.2t
z = t
Then t must have a value 5n+3 for 0 ≤ n < 1. That is, t=3.
x = 0.4 +0.2(3) = 1
y = 5.6 -1.2(3) = 2
z = 3
The integers that satisfy are (x, y, z) = (1, 2, 3).
Answer:
g(1) = 6
Step-by-step explanation:
Substituting 1 into g(x):
g(1) = 1(1) + 5
= 1 + 5
= 6
<em>Hope this helps and be sure to have a wonderful time ahead at Brainly! :D</em>
