9514 1404 393
Answer:
13.8654599313 and -0.8654599313
Step-by-step explanation:
If one of the numbers is x, then the other is 13-x, and their product is ...
x(13 -x) = -12
x^2 -13x = 12 . . . . multiply by -1 and simplify
x^2 -13x +6.5^2 = 12 +6.5^2 . . . . complete the square
(x -6.5)^2 = 54.25
x -6.5 = √54.25
x = 6.5 +√54.25 ≈ 13.8654599313
and the other number is ...
13 -x = 13 -13.8654599313 = -0.8654599313
The two numbers are 13.8654599313 and -0.8654599313.
Answer:
1064 m²
Step-by-step explanation:
The surface area of the prism can be gotten by saying
14 * 14 + 14 * 14 + 14 * 24 =
196 + 196 + 336 =
728 m²
Again, after dealing with the rectangle, we then face the triangle.
Area of triangle is
1/2 * 14 * 24
There are 2 triangles so this makes it
2 * 1/2 * 14 * 24 =
336
The surface area is finally
336 + 728 = 1064 m²
Surface area of the triangular prism has been calculated to be 1064 m²
Answer: Can you translate for me?
Step-by-step explanation:
The first one is 20. The second one is 64 points
Answer:
See deduction below
Step-by-step explanation:
I will use the known inference rules (modus ponens, etc)
From d) and b),
~r
q → r
Therefore ~q (by Modus Tollens)
From a), and our previous conclusion:
p ∨ q
~q
Therefore p (by disjunctive sillogism)
Until know, we have concluded p and ~q. By e)
~q → u ∧ s
~q
Therefore u∧s. (Modus Ponens)
From p, u∧s, and c)
u∧s
s (simplification)
p (previous conclusion)
p∧s (adjuntion)
p∧s→t (Modus Ponens)
Therefore t, as we wanted to conclude.