(Area of 1) + (Area of 2) = (Area of 3) this statement about the squares must be true.
What is Right angle traingle?
A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees. The triangle's base and perpendicular sides both include the right angle. The longest of the three sides, known as the hypotenuse, is the third side.
we know that;
By applying the Pythagorean Theorem;
.............................(1)
Area of the square says A1;
A1 = a^2 unit^2 ...............................(2)
Area of the square says A2;
A2 = b^2 unit^2 .................................(3)
Area of the square says A1;
A3 = c^2 unit^2 ..................................(4)
Replace the A1, A2, and A3 values in the equation 1 ;
A3 = A1 + A2
therefore;
(Area of 1) + (Area of 2) = (Area of 3).
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Answer:
at 6:06
Step-by-step explanation:
since it took 13 to be half full just add an extra 13 minutes. 5:53+ 13 minutes= 6:06
Answer:
((2 x + 1) (4 x^2 - 2 x + 1))/8
Step-by-step explanation:
Factor the following:
x^3 + 1/8
Put each term in x^3 + 1/8 over the common denominator 8: x^3 + 1/8 = (8 x^3)/8 + 1/8:
(8 x^3)/8 + 1/8
(8 x^3)/8 + 1/8 = (8 x^3 + 1)/8:
(8 x^3 + 1)/8
8 x^3 + 1 = (2 x)^3 + 1^3:
((2 x)^3 + 1^3)/8
Factor the sum of two cubes. (2 x)^3 + 1^3 = (2 x + 1) ((2 x)^2 - 2 x + 1^2):
((2 x + 1) ((2 x)^2 - 2 x + 1^2))/8
1^2 = 1:
((2 x + 1) ((2 x)^2 - 2 x + 1))/8
Multiply each exponent in 2 x by 2:
((2 x + 1) (2^2 x^2 - 2 x + 1))/8
2^2 = 4:
Answer: ((2 x + 1) (4 x^2 - 2 x + 1))/8
5w + 8 - w = 6w - 2(w -4).
Let's reduce the equation on the left:
4w + 8; (1)
and now let's reduce the equation on the right
6w - 2w +8 = 4w +8 (2).
We notice that (1) ≈ (2), and this is the only IDENTITY