So we are trying to find this red line's length.
We can either find it directly, or use the blue line firs, and then use it as a leg for the green triangle.
So the blue leg is a hypotenuse for two of the edges. So:
from the Pythagorean Theorem
OR
Which works out to:
So now that we have that, using the Pythagorean Theorem again gives:
So the length of the red line is found that way.
But wait! There's more!
As it turns out, the red line can be found with an easier way that works with cubes and boxes (cuboids). It's really easy:
Where a, b, and c are all 10m, and d is the red line. This greatly reduces the math:
which gives the same answer as above, which you can see.
Answer:
955 in quinary system = 12310
955 in binary system = 1110111011
Step-by-step explanation:
Quinary system is in base 5, that is, 0,1,2,3,4
955 in quinary system
955 ÷ 5 = 191 remainder 0
191 ÷ 5 = 38 remainder 1
38 ÷ 5 = 7 remainder 3
7 ÷ 5 = 1 remainder 2
1 ÷ 5 = 0 remainder 1
In reverse order of the remainder
= 12310
Binary system = 0,1
955 in binary system
955 ÷ 2 = 477 remainder 1
477 ÷ 2 = 238 remainder 1
238 ÷ 2 = 119 remainder 0
119 ÷ 2 = 59 remainder 1
59 ÷ 2 = 29 remainder 1
29 ÷ 2 = 14 remainder 1
14 ÷ 2= 7 remainder 0
7 ÷ 2 = 3 remainder 1
3 ÷ 2 = 1 remainder 1
1 ÷ 2 = 0 remainder 1
In reverse order of the remainder
1110111011
Answer:
An algebraic expression containing two or more terms is called a polynomial
Answer:
(5x + 3)² + 3
Step-by-step explanation:
25x² + 30x + 12 =
= (25x² + 30x) + 12
How do we make 25x² + 30x into a perfect square?
25x² is the square of 5x, so our binomial that is squared will start with
(5x + ___)²
We need to find the number that is added to 5x inside the parentheses.
The middle term of the squared binomial is 2 times the first term times the second term.
2(5x)b = 30x
b = 3
The binomial is (5x + 3).
When we square it, the last term will be 9. We need to add 9 to 25x² + 30x to have a perfect square. Then we also need to subtract 9 to not change the value of the expression.
= (25x² + 30x + 9) + 12 - 9
= (5x + 3)² + 3