The new coordinates are (3, 1)
Answer:
x1 =2-5i*sqrt(2)
x2 =2+5i*sqrt(2)
Step-by-step explanation:
-x^2 +4x-54=0 (quadratic equation)
a=-1, b=4, c=-54
x1=(-b+sqrt(b^2-4ac))/2a
x1=(-4+sqrt(4^2 - 4*(-1)(-54))/2*(-1)
x1=(-4+sqrt(16-216))/(-2)
x1 =(-4+sqrt(-200))/(-2)
x1 =(-4+sqrt(200i^2))/(-2) i^2=-1
x1 =(-4+sqrt(100*2*i^2))/(-2)
x1 =(-4+10i*sqrt(2))/(-2)
x1 =2-5i*sqrt(2)
x2 =(-b-sqrt(b^2-4ac))/2a
x2 =(-4-10i*sqrt(2))/(-2)
x2 =2+5i*sqrt(2)
Answer:
28
Step-by-step explanation:
f(6) = -3 * 6 + 10 = -18 + 10 = -8
g(f(6)) = g(-8)
g(-8) =
= 64 - 24 - 12 = 64 - 36 = 28
To solve we need to use Pythagoras theorem (

)
There are 2 possible lengths for x: hypotenuse or one of the 2 shorter sides.
Hypotenuse:
10^{2} + 21^2 =

100+441=

23.3≈x
Shorter leg:



= 441-100

x≈18.47
Answer:
The first is -4 and the second is 10
Step-by-step explanation: