Answer: (x - 4)(x - (i))(x + (i))
Step-by-step explanation:
This factoring job lends itself well to synthetic division. Looking at the constant term, -4, I came up with several possible roots based upon -4: {±1, ±2, ±4}. I chose +4 as my first trial root. Sure enough, there was a zero remainder, which indicated that 4 is a root of this polynomial and (x - 4) is a factor. The coefficients of the trinomial quotients are 1 0 1, which indicates a quotient of x^2 + 1, which has the following roots: x = +(i) and x = -(i)
So the complete factorization of the polynomial is (x - 4)(x - (i))(x + (i)).
4 ) 1 -4 1 -4
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Answer:
1
Answer:
9. The graph will shift down 2 units
10. The graph will be moved right by 4 units
11. The graph will be vertically stretched by 2 units
Step-by-step explanation:
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Answer:
y = -1/4x - 1.
Step-by-step explanation:
y = 4x + 5
The slope of this is 4 so the slope of line perpendicular to this line = -1/4.
Using the formula y - y1 = m(x - x1):
y - (-1) = -1/4(x - 0)
y + 1 = -1/4x
y = -1/4x - 1.
It is not 90 degrees it is 87
Let "a", "b" and "с" be sides of the triangle ("с" is the longest side). The triangle will be:
right if a² + b² = c²
аcute if a² + b² > c²
obtuse if a² + b² < c²
We have a=10, b=14 and c=18
a² + b² = 10² + 14² = 100 + 196 = 296
and
c² = 18² = 324
296 < 324 ⇒ obtuse triangle.
