<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:
x-30
Step-by-step explanation:
Firstly, you do the first step, which is, 3x-18+4x+12-6x, then you continue simplifying it: 7x-18+12-6x.
Keep it on and on, the next step: x-18+12, add 18 and 12 together you get 30.
So the final answer is x-30
Answer:
b
Step-by-step explanation:
In a 30-60-90 right triangle, the hypotenuse is twice the length of the short leg.
The hypotenuse is AB and is 18.
The short leg is BC and is 9.
The only choice with BC = 9 is b.
Answer: b
Answer:
A.
Step-by-step explanation:
A.
Reason 1: 180 - 89 = 91
Reason 2: It's close to 90 degrees
Hope that helps!
Answer:
-8 or -1
Step-by-step explanation:
x*2+9x+8=0
(x+8)(x+1)=0
x+8=0 or x+1=0
x= -8 or x= -1