Expand the following:
(5 a + b/5)^2
(5 a + b/5) (5 a + b/5) = (5 a) (5 a) + (5 a) (b/5) + (b/5) (5 a) + (b/5) (b/5):
5×5 a a + (5 a b)/5 + (5 b a)/5 + (b b)/(5×5)
(5 a b)/5 = 5/5×a b = a b:
5×5 a a + a b + (5 b a)/5 + (b b)/(5×5)
(b×5 a)/5 = 5/5×b a = b a:
5×5 a a + a b + b a + (b b)/(5×5)
Combine powers. (b b)/(5×5) = (b^(1 + 1))/(5×5):
5×5 a a + a b + b a + (b^(1 + 1))/(5×5)
1 + 1 = 2:
5×5 a a + a b + b a + (b^2/5)/5
5 a×5 a = 5×5 a^2:
5×5 a^2 + a b + b a + (b^2/5)/5
5×5 = 25:
Answer: 25 a^2 + a b + b a + (b^2/5)/5
Answer:
number one. 186
number two. 36
Step-by-step explanation:
FOR NUMBER ONE:
the area of a trapezoid formula is
where a and b are the bases and h is the height. so we have to add in the numbers into the formula
= <em>81</em>
and the paralellogram formula is b×h. where b is the base and h is height
15 × 7 = <em>105</em>
so the area of the figure is 81 + 105 is 186 in^2
FOR NUMBER TWO:
the area of the square formula is
. where s is the side
4^2 = <em>16</em>
and for the paralellogram is b × h
4 × 5 = <em>20</em>
so the area of the figure is 16 +20 = 36 in^2
hope this helps! ;)
Answer:
24 cm squared
Step-by-step explanation:
cut the dotted line and move the new triangle to the other side this makes a square 4*6=24 cm squared.
What is the value of xz its not clear in image
Answer:
She has 42 pieces of wood each of 1 inch of length.
Step-by-step explanation:
Amy has 42 inches piece of wood.
She has to cut an inch.
After cutting pieces of inch each she counts the pieces to be 42.
Mathematically
Total length / unit lenght = Number of pieces
42 inches/ 1 inch= 42 pieces.
She has 42 pieces of wood each of 1 inch of length.