Step-by-step explanation:
2(x+4) = 12
or, 2x + 8 = 12
or, 2x = 12-8
or, 2x = 4
or, x = 4÷2
hence, x = 2
I assume that the parabola in this particular problem is one whose axis of symmetry is parallel to the y axis. The formula we're going to use in this case is (x-h)2=4p(y-k). We know variables h and k from the vertex (1,20) but p is not given. However, we can solve for p by substituting values x and y in the formula with the y-intercept:
(0-1)^2=4p(16-20)
Solving for p, p=-1/16.
Going back to the formula, we can finally solve for the x-intercepts. Simply fill in variables p, h and k then set y to zero:
(x-1)^2=4(-1/16)(0-20)
(x-1)^2=5
x-1=(+-)sqrt(5)
x=(+-)sqrt(5)+1
Here, we have two values of x
x=sqrt(5)+1 and
x=-sqrt(5)+1
thus, the answers are: (sqrt(5)+1,0) and (-sqrt(5)+1,0).
Answer:
She did not represent the two original factors correctly on the headers.
Step-by-step explanation:
Adi algebra tiles representation is shown in the figure attached.
She made a mistake when she represented -2x-1 with two negative tiles in the top header
, so, the representation in the header is not correct.
Answer:
11.4972 USD
Step-by-step explanation:
Approx. 11.50
Answer:
Each one of the sides is equal to 7d-5
Step-by-step explanation:
A regular pentagon has 5 sides of equal length.
The perimeter of a regular pentagon is given by
P = 5s where s is the side length
35d -25 = 5s
Divide each side by 5
(35d-25)/5 = 5s/5
7d-5 =s
Each one of the sides is equal to 7d-5
