First, it is necessary to take out the i from the root. This is done by factoring out -1 as follows, using the relation √(-1) : = i
√-2 = √(-1)(2) = i<span>√2
</span>√-18 = √(-1)(2)(9) = 3i<span>√2
Simplifying by adding the two terms together:
</span>i√2 + 3i√2 = 4i<span>√2
</span>
Therefore the answer is B.
Answer:
The length of the triangle’s base is of 6 inches.
Step-by-step explanation:
The area of a triangle is given by the following equation:

In which b is the length of the triangle's base and h is the height.
In this question, we have that:

So





Area in square inches, the length of the triangle's base will be in inches.
The length of the triangle’s base is of 6 inches.
Answer:
The area of circle 1 is 9 times greater than area of circle 2.
Step-by-step explanation:
Given that:
Radius of circle 1 = 12
Area of circle 1 = πr²
Area of circle 1 = 
Area of circle 1 = 452.16
Radius of circle 2 = 4
Area of circle 2 = 
Area of circle 2 = 50.24
Let,
x be the number of times circle 1 is bigger than circle 2.
Area circle 1 = x * Area circle 2

Hence,
The area of circle 1 is 9 times greater than area of circle 2.
Answer:
1
Step-by-step explanation:
Answer:
y = - 2x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 8, 22) and (x₂, y₂ ) = (3, 0)
m =
=
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 0), then
0 = - 6 + c ⇒ c = 0 + 6 = 6
y = - 2x + 6 ← equation of line