Answer:
Option A. 
Step-by-step explanation:
<u><em>The complete question is</em></u>
The function g is given in three equivalent forms.
Which form most quickly reveals the vertex?
A)g(x)= 1/2(x-8)^2-8
B)g(x)= 1/2(x-12)(x-4)
C)g(x)= 1/2x^2-8x+24
we know that
The equation of a quadratic function in vertex form is equal to

where
a is the leading coefficient
(h,k) is the vertex of the function
In this problem, the option A is the equation of the function in vertex form
we have

where the vertex is the point (8,-8)
therefore
Option A
Answer:
place value of 2 is 100
Step-by-step explanation:
please brainleist my answer
45 black dogs because 2/3 of 60 is 45
<u>Given</u>:
The given triangle ABC is a right angled triangle.
The length of AC is 4 units.
The measure of ∠B is 20°
We need to determine the length of BC.
<u>Length of BC:</u>
The length of BC can be determined using the trigonometric ratio.
Thus, we have;

From the figure, the side opposite to the angle is AC and adjacent is BC.
Substituting opp = AC and adj = BC, we get;

Substituting AC = 4, we have;

Simplifying, we have;



Thus, the length of BC is 10.99 units.
Answer:
48 cookies were sold in total.
Step-by-step explanation:
5:1 is the ratio of raisin cookies to oatmeal cookies, and 40 raisin cookies were sold. Meaning, 40:?.
To find the number of oatmeal cookies you divide 40 by 5, which gets 8. This means that the original ratio is multiplied by 8 to get the current ratio for the amount if cookies. 5(8) : 1(8) = 40:8. There are 40 raisin cookies and 8 oatmeal cookies. 40+8=48. There were 48 cookies sold in total.