Answer:

Step-by-step explanation:
we have that
The axis of symmetry shown in the graph is x=4
we know that
The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex
so
<em>Verify each case</em>
<em>case a)</em> we have

The vertex is the point (-4,0)
therefore
Cannot be the function
<em>case b)</em> we have

The vertex is the point (0,4)
The axis of symmetry is x=0
therefore
Cannot be the function
<em>case c)</em> we have

The vertex is the point (4,0)
The axis of symmetry is x=4
therefore
Could be the function
<em>case d)</em> we have

The vertex is the point (0,-4)
The axis of symmetry is x=0
therefore
Cannot be the function
Slope = -5/4
y intercept = 1
The slope is always attached to x. The intercept is the number attached on the end.
Answer:
Approximately mMK is 53 degrees
Step-by-step explanation:
Here, we want to find the length of MK
As we can see, we have a right triangle at LNK
so
let us find the angle at L first
9 is adjacent to the angle at L and also, 15 is the hypotenuse of the angle at L
so the trigonometric identity that connects adjacent to the hypotenuse is the cosine
It is the ratio of the adjacent to the hypotenuse
So;
cos L = 9/15
L = arc cos (9/15)
L = 53.13 degree
Approximately, L = 53 degrees
so now, we want to get the arc length MK
We are to use the angle-arc relationship here
Using this; arc length MK is equal to the measure of L at the center which is 53 degrees
Answer:
Step-by-step explanation:
S+J+M=36
J=S-2 or J=x-2
M=S-16 or M=x-16