Answer:
10.2 cm²
Step-by-step explanation:
regular hexagon made up of six equilateral triangles
A = (2 × 1.7) /2 × 6 = 10.2
or by the side length
A = 3√3/2 * 2² = 10.3
+ √6 = √9
The first step is to get by itself. We can do this by subtracting 
from each side, and simplifying 
= 3 -
Now we square both sides
5x = (3 - )²
Using the formula (a - b)² = a² -2ab + b², (3 - )² = 15 - 6
5x = 15 - 6
x = 
Answer:
-30bc + 50bd
Step-by-step explanation:
3a + 5b/3c - 5d = 3a - 5b/3c - 5d
(3c - 5d)(3a - 5b) = (3a + 5b)(3c - 5d)
9ca - 15bc - 15da + 25db = 9ac - 15ad + 15bc - 25bd
9ca -15bc - 15da + 25db - 9ac + 15ad - 15bc + 25bd
9ca and -9ac and -15da and 15ad cancel each other out, so
-30bc + 50db is left
Answer:
18
Step-by-step explanation:
A two-digit number (xy) will have the value 10x+y. The sum of its digits is x+y.
You want ...
10x +y = 2(x +y)
1 ≤ x ≤ 9
0 ≤ y ≤ 9
The equation can be simplified to ...
8x = y
The only single-digit values for x and y that satisfy the requirements are ...
x = 1, y = 8
The two-digit number of interest is 18.
_____
<em>Check</em>
Its sum of digits is 1+8 = 9. 2×9 = 18.
_____
<em>Comment on the relationship in the problem</em>
Many of us learned our multiplication tables for 9s by remembering that the sum of digits of 9n was 9, and that the leading digit of the product was n-1.
Answer:
36
Step-by-step explanation:
because square of term on LHS = square of term on RHS
if 5 - 3y = 6
then (5 - 3y)² = 36
