It is d because the whole segment moved meaning it's length has not changed
![14\sqrt[]{6}i](https://tex.z-dn.net/?f=14%5Csqrt%5B%5D%7B6%7Di)
1) Let's rewrite it into the z=a +bi form.
2) So we can write out the following noticing that i² =-1 as well as √-1=i
![\begin{gathered} \sqrt[]{-1176}=\sqrt[]{-1}\cdot\sqrt[]{1176} \\ Factoring \\ \sqrt[]{-1}\cdot14\sqrt[]{6} \\ i\cdot14\sqrt[]{6} \\ 14\sqrt[]{6}i \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Csqrt%5B%5D%7B-1176%7D%3D%5Csqrt%5B%5D%7B-1%7D%5Ccdot%5Csqrt%5B%5D%7B1176%7D%20%5C%5C%20Factoring%20%5C%5C%20%5Csqrt%5B%5D%7B-1%7D%5Ccdot14%5Csqrt%5B%5D%7B6%7D%20%5C%5C%20i%5Ccdot14%5Csqrt%5B%5D%7B6%7D%20%5C%5C%2014%5Csqrt%5B%5D%7B6%7Di%20%5Cend%7Bgathered%7D)
Note that in this number the real part "a" is equal to 0.
<u>Answer:
</u>
The vertex of the function
is (h,k) = (3 , -1)
<u>Solution:
</u>
The vertex form of quadratic equation is generally given as,

Where h,k is the vertex of the parabola.
From question, given that
.
we have to find the vertex of the function.
Let us first convert the given quadratic equation to vertex form (eqn 1)

By adding “9” on both sides of equation, we get


By using the identity
,the right hand side of above equation becomes,


Now,the equation
is of the vertex form.
By comparing
with 
we get the values of (h,k)
a = 1; h = 3; k = -1
hence the vertex of the function
is (h,k) = (3 , -1)
Answer:
27/40
Step-by-step explanation:
Hi,
The ratio is 42:35
Simplest form = 6:5(divide both by 7)
Hope this helps you.