Let i = sqrt(-1) which is the conventional notation to set up an imaginary number
The idea is to break up the radicand, aka stuff under the square root, to simplify
sqrt(-8) = sqrt(-1*4*2)
sqrt(-8) = sqrt(-1)*sqrt(4)*sqrt(2)
sqrt(-8) = i*2*sqrt(2)
sqrt(-8) = 2i*sqrt(2)
<h3>Answer is choice A</h3>
Answer:
Yamateh kudasai
Step-by-step explanation:
hope it helps
Answer:
A.(AB/BC)=(CE/ED)
Step-by-step explanation:
Properties of Similar Triangles states two things
Corresponding angles are congruent (same measure)
Corresponding sides are all in the same proportion
That means AB/ BC = CE/ED
The inverse function for the given function f(x) = 4x - 2 is x/4 + 2
or, f⁻¹(x) = x/4 + 2
Given function, f(x) = 4x-8
We have to find f⁻¹(x)
f(x) = 4x - 8
or, y = 4x - 8
Interchanging the x variable with y,
x = 4y - 8
Solving y,
x = 4(y - 2)
or, x/4 = y - 2
or, y = x/4 + 2
Now, replacing y with f⁻¹(x), we get;
f⁻¹(x) = x/4 + 2
For verifying, you can use
(f · f⁻¹ )(x) = x
Therefore, the inverse function of f(x) is x/4 + 2.
To learn more about the inverse functions, visit: brainly.com/question/14965513
#SPJ9
Being directly proportional means that both variables are increasing at the same rate, so both variables will be doubling. in that case:
a. y = x(^2)
if x is doubled
(2y) = (2x)^2
y is increasing by a factor of 2
b. y = x(^3)
if x is doubled
(2y) = (2x)^3
y again, increases by a factor of 2
