The given identity tells you ...
.. (sum of numbers) * (sum of squares - product) = (sum of cubes)
Substituting the given information, you have
.. (sum of numbers) * (29 -10) = 133
Then you can divide by (29 -10) to get
.. sum of numbers = 133/19 = 7
The sum of the two numbers is 7.
Answer:
The volume of a triangular pyramid is 24 cubic inches. The base is a right triangle with a length
of 4 inches and height of 3 inches. What is the height of the pyramid, in inches?
Step-by-step explanation:
The volume of a triangular pyramid is 24 cubic inches. The base is a right triangle with a length
of 4 inches and height of 3 inches. What is the height of the pyramid, in inches?
The volume of a triangular pyramid is 24 cubic inches. The base is a right triangle with a length
of 4 inches and height of 3 inches. What is the height of the pyramid, in inches?
That would be :
4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substitute for y)
PROOF: y + 5x = x²<span> + 10
</span> (4x - 10) + 5x = x² + 10
4x - 10 = x² -5x + 10
<span>
</span>0 = x2 – 9x + 20<span> (liked terms are grouped and simplified)
PROOF: </span> 4x - 10 = x² -5x + 10
4x = x² -5x + 10 + 10
0 = x² -5x -4x + 20
0 = x² - 9x + 20
Solving:
x² - 9x + 20 = 0
x² - 5x - 4x + 20 = 0
(x - 5) (x - 4) = 0
⇒ x = 4 (as question says) OR x = 5
