Answer:
vertex = (- 1, - 4.5 )
Step-by-step explanation:
Given
f(x) = 
(x - 2)(x + 4)
The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.
To find the zeros let f(x) = 0, that is
(x - 2)(x + 4) = 0
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x + 4 = 0 ⇒ x = - 4
The x- coordinate of the vertex is therefore
x = 
= 
= - 1
Substitute x = - 1 into f(x) for corresponding y- coordinate
f(- 1) = (- 1 - 2)(- 1 + 4) = × - 3 × 3 = 0.5 × - 9 = - 4.5
Coordinates of vertex = (- 1, - 4.5 )
Answer:
The area of the remaining figure is 
Step-by-step explanation:
<u>Area of the Square Shape</u>
Given a square of side length x, the area is calculated by the formula:
It's given a square of side x is cut out of a larger square of side y. Please refer to the image below.
The area of the square of side length y is:
The shaded area of the remaining figure is the difference between both areas:
The area of the remaining figure is 
Answer:
His sales that week were $2,160.
Step-by-step explanation:
First, you have to subtract $324 from the amount he earned that week, to find the 5% he got from sales:
$432-$324=$108
Now, you know that he received $108 that represent 5% of his sales and you can use a rule of three to find the amount that represents 100% which would be his sales that week:
5% → 108
100% → x
x=(100*108)/5=2160
According to this, the answer is that his sales that week were $2,160.
<h2>
Hello!</h2>
The answer is:
The second option,
Zackery, because AB=BC
<h2>Why?</h2>
To identify which type of triangle is the triangle formed by the given points, first, we need to calculate the distance between the points.
So, finding the distances we have:
From A to B: (2,3) and (4,4)
From B to C: (4,4) and (6,3)
Hence, since the distances AB and BC are equal, the triangle is an isosceles triangle, so the answer is:
Zackery, because AB=BC
Have a nice day!
