Answer:
For D. X= 3, or 0 but probably not 0
For the 2nd picture you sent, x= -2, or -3
Step-by-step explanation:
So for D. you want to make sure you only have 1 Variable, and since we know y=x squared + 7x+5, we subsitute y for what it is equal to.
Then we refine the question, which takes it out to
x squared-3x+5=5 (because the 7x-10x = 3x)
We subtract 5 from both sides which leaves us with x Squared - 3x= 0
Which we then solve with the Quadratic formula. and we separate the solutions to get the different answers for 3, and 0
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
Answer:
13.187 meters
Step-by-step explanation:
Basically, there are 24 meters for every 91 steps: 
There are x meters for every 50 steps: 
Cross multiply
91x = 1200
Divide both sides by 91 to isolate the variable, x
91x/91 = 1200/91
x = 13.186813
The number of times the image of the octagon will coincide with the preimage during rotation is determined by:
N = R/C
where
N is the number of times the preimage coincided with the rotated image during rotation
R is the angle of rotation
C is the central angle of the regular polygon
For an octagon, the central angle is
C = 360/8 = 45
So,
N = 360 / 45 = 8
Therefore, the rotated image of the octagon will coincide with the preimage 8 times during rotation.
