Answer:
x=5
Step-by-step explanation:
19x and its vertical angle are equal. Lets call that angle y
<y and 17x are same side interior angles. Same side interior angles add to 180 if the lines are parallel. Since l is parallel to m.
<y + 17x=180
We know that y and 19x are equal since they are vertical angles, so we can substitute this in.
19x+ 17x = 180
Combine like terms.
36x = 180
Divide each side by 36
36x/36 = 180/36
x = 5
Answer:
x^3 - 2x^2 + 9x - 18.
Step-by-step explanation:
The complex roots occur in conjugate pairs so there are 3 roots 2, 3i and -3i.
So we have:
P(x) = (x - 2)(x - 3i)(x + 3i)
= (x - 2)(x^2 - 9i^2)
= (x - 2)(x^2 - 9*-1)
= (x - 2)(x^2 + 9)
= x^3 + 9x - 2x^2 - 18
= x^3 - 2x^2 + 9x - 18.
Answer:
Step-by-step explanation:
To shift a function F(x) a units to the left, we do:
In this problem, we have that:
So, shifting 2 units left:
Then
To shift a units down, we do:
![F(x) = F(x) - a. So[tex]F(x) = 2^{x+2}](https://tex.z-dn.net/?f=F%28x%29%20%3D%20F%28x%29%20-%20a.%20So%3C%2Fp%3E%3Cp%3E%5Btex%5DF%28x%29%20%3D%202%5E%7Bx%2B2%7D)
Shifting 6 units down
