Answer:im not sure
Step-by-step explanation:
Answer:
The answer is: 83 + 12√35
(a + b)² = a² + 2ab + b²
In (2√5 + 3√7)², a = 2√5, b = 3√7
Just substitute a and b:
(a + b)² = a² + 2ab + b² = (2√5)² + 2 * 2√5 * 3√7 + (3√7)² =
= 2²√5² + 2 * 2 * 3 * √5 * √7 + 3²√7² =
= 4 * 5 + 12 * √(5*7) + 9 * 7 =
= 20 + 12 *√35 + 63 =
= 83 + 12√35
Step-by-step explanation:
Answer:
<h2>y = 3x + b where b is any real number</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
We have the equation: 
Parallel lines have the same slope. Therefore the equation of the lines that are parallel to the given line if in form:
where b is any real number.
ANSWER
I) 5:11
ii) 5:11
iii) 125:1331
EXPLANATION
Let the side lengths be in the ratio:
x:y
This implies that the area will be in the ratio:
Take positive square root.
Hence the sides are in the ratio:
x:y=5:11
The perimeter of the smaller hexagon is 6×5=30
The perimeter of the larger hexagon is 6×11=66
The ratio of the perimeter is
30:66=5:11
The volume will be in the ratio
5³:11³
125:1331
Let's start by knowing what a real number is. A real number is a quantity that can be plotted in a number line or a Cartesian plane. So all integers, rational numbers and radical numbers are real numbers. The only instance when it is not real, is when they are imaginary. These are still numbers, but they have a term 'i' associated with them. Numerically, i = √-1. There is no equivalent quantity to a root of any negative number. It can't be placed anywhere in the number line.
So, for the problem where the number is √-36, we can simplify that to
√-36 = √-1(36) = 6√-1 = 6i
Hence, √-36 is equal to 6i. It can't be expressed into a real number in any way.
However, I'm going to add an additional information. An imaginary number could become real when raised to the power of 2 or 4. This is because
i = √-1
i² = -1
i⁴ = 1
In that case, the number becomes real.
