Answer: n + (n + 2) = 84
Step-by-step explanation:
If n is the smallest integer, the other integer must be two more than that, because it has to be odd. The two numbers add up to 84, so the other side of the equation is 84.
Answer: (-2, 11/6)
Step-by-step explanation:
Answer:
3(3a - 6b + 7c )
Step-by-step explanation:
The greatest common factor of 9, 18 and 21 is 3
Factor out 3 from each term
9a - 18b + 21c
= 3(3a - 6b + 7c) ← in factored form
Answer:
x = 8√5
Step-by-step explanation:
In the figure attached, there are three right angle triangles.
So, by Pythagoras theorem,
y²+ 4² = z²
y² + 16 = z²------(1)
Similarly x² = 16² + y²--------(2)
and (16 + 4)² = x² + z²
20² = x² + z²-------(3)
Now we put the value of z² from equation 1 to equation 3
20² = x² + y² + 16
x² + y² = 400 - 16
x² + y² = 384
y² = 384 - x²------(4)
Now we put the value of y² from equation 4 to equation 2
x² = 16² + 384 - x²
2x² = 256 + 384
2x² = 640
x² = 320
x = 8√5
Therefore x = 8√5 will be the answer.