Answer:
the slope that is perpendicular to line y=-7x-12 is 1/7
1/7 is the perpendicular slope
Step-by-step explanation:
I got 27.5 for the mean
mean: you add up all the #'s and divide them my their quantity( in other words by how many numbers there are)
In your case you have 8 numbers, you add them and divide them by 8!
Hope it helps ;)
Answer:
8 and -2
Step-by-step explanation:
Let the numbers be l and s.
We have equations:
l = 5s + 18
3l + 4s = 16
Solve for s by substituting l into the second equation:
3(5s + 18) + 4s = 16
15s + 54 + 4s = 16
19s = 16 - 54
19s = -38
s = -38/19
s = -2
Find the value of l:
l = 5(-2) + 18
l = -10 + 18
l = 8
Answer:
![P(x)=x^3-11x^2+43x-65](https://tex.z-dn.net/?f=P%28x%29%3Dx%5E3-11x%5E2%2B43x-65)
Step-by-step explanation:
If the complex number
is a root of a cubic function, then the complex number
is a root too. Thus, the cubic function has three known roots
and can be written as
![P(x)=(x-5)(x-(3-2i))(x-(3+2i)),\\ \\P(x)=(x-5)(x^2-x(3-2i+3+2i)+(3-2i)(3+2i)),\\ \\P(x)=(x-5)(x^2-6x+9-4i^2),\\ \\P(x)=(x-5)(x^2-6x+9+4),\\ \\P(x)=(x-5)(x^2-6x+13),\\ \\P(x)=x^3-11x^2+43x-65.](https://tex.z-dn.net/?f=P%28x%29%3D%28x-5%29%28x-%283-2i%29%29%28x-%283%2B2i%29%29%2C%5C%5C%20%5C%5CP%28x%29%3D%28x-5%29%28x%5E2-x%283-2i%2B3%2B2i%29%2B%283-2i%29%283%2B2i%29%29%2C%5C%5C%20%5C%5CP%28x%29%3D%28x-5%29%28x%5E2-6x%2B9-4i%5E2%29%2C%5C%5C%20%5C%5CP%28x%29%3D%28x-5%29%28x%5E2-6x%2B9%2B4%29%2C%5C%5C%20%5C%5CP%28x%29%3D%28x-5%29%28x%5E2-6x%2B13%29%2C%5C%5C%20%5C%5CP%28x%29%3Dx%5E3-11x%5E2%2B43x-65.)