Answer:
Vertex form:
Standard form:
Step-by-step explanation:
A quadratic function in vertex form is where is the vertex.
We are given .
Let's plug that in:
.
Now let's find .
We will use the -intercept to find .
So the function in vertex form is:
.
In standard form, we will have to multiply and combine any like terms.
Let's do that:
Answer:
Yes, they are parallel
Step-by-step explanation:
Find the slopes of the lines using rise over run (y2 - y1) / (x2 - x1)
Find the slope of line M:
(y2 - y1) / (x2 - x1)
(2 - 0) / (-3 + 5)
2/2
= 1
Find the slope of line N:
(y2 - y1) / (x2 - x1)
(4 - 2) / (0 + 2)
2/2
= 1
So, the two lines have the same slope of 1, meaning that they are parallel because parallel lines have the same slope.
They are parallel.
Answer:
The correct answer is A. 15.2 units
Step-by-step explanation:
The segment AB is congruent to the segment BC eg AB≅BC Why?
We can prove it with the triangle congruent theorem, postulate side-side-angle
We are watching triangle ΔABO and triangle ΔCBO, they are congruent
first element side OB=OB - common side
second element side OA=OC=r - radius of the circle
third element angle ∡ABO≅∡CBO=90°
According to the postulate side-side-angle we can conclude that triangles
ΔABO≅ΔCBO (triangles are congruent)
If they are congruent all of their elements are also congruent and therefore also
side AB=BC => AB+BC=AC, which is chord => 7.6+7.6=15.2 units
AC= 15.2 units ( chord )
Good luck!!!