Answer: Dilation is a technique for creating similar figures. Each point is stretched outwards from the center point D by multiplying distances by the scale factor. (Outwards if the scale factor is bigger than 1.) Move the points A, B, and C to change the shape of the triangle.
Step-by-step explanation:
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (1, - 3)
m = 
= 
Since division by zero is undefined then the slope of the line is undefined
Step-by-step explanation:
Did you mean
Evaluate 3/2 + (-k) + (-2) where k = -5/2
= 3/2 - (-5/2) - 2
= 3/2 + 5/2 - 2
= 8/2 - 2
= 4 - 2
= 2
Number of possible combinations = (4x3) ÷ 2 = 6
Answer: There are 6 possible combinations.
Answer:
-6i
Step-by-step explanation:
Complex roots always come in pairs, and those pairs are made up of a positive and a negative version. If 6i is a root, then its negative value, -6i, is also a root.
If you want to know the reasoning, it's along these lines: to even get a complex/imaginary root, we take the square root of a negative value. When you take the square root of any value, your answer is always "plus or minus" whatever the value is. The same thing holds for complex roots. In this case, the polynomial function likely factored to f(x) = (x+8)(x-1)(x^2+36). To solve that equation, you set every factor equal to zero and solve for the x's.
x + 8 = 0
x = -8
x - 1 = 0
x = 1
x^2 + 36 = 0
x^2 = -36 ... take the square root of both sides to get x alone
x = √-36 ... square root of an imaginary number produces the usual square root and an "i"
x = ±6i
