In the shape above, which of the following line segments are perpendicular to each other?
1 answer:
You might be interested in
The vertex-form of the equation of a parabola is 
,
where (h, k) is the vertex point.
We are given that 9 is the maximum point, and that the axis of symmetry is the line x=-5.
The axis of symmetry passes through the vertex, so the x-coordinate of the vertex is -5. The maximum height is 9 means that the y-coordinate of the vertex is 9.
So: (h, k)=(-5, 9).
Substituting in the vertex-form, now we have:
.
We also know that (-7, 1) is a point of the parabola, so this point is an (x, y) which satisfies the equation. That is:
Now we have all the constants h, k and a, so we are able to write the equation:
.
Answer:.
where (h, k) is the vertex point.
We are given that 9 is the maximum point, and that the axis of symmetry is the line x=-5.
The axis of symmetry passes through the vertex, so the x-coordinate of the vertex is -5. The maximum height is 9 means that the y-coordinate of the vertex is 9.
So: (h, k)=(-5, 9).
Substituting in the vertex-form, now we have:
We also know that (-7, 1) is a point of the parabola, so this point is an (x, y) which satisfies the equation. That is:
Now we have all the constants h, k and a, so we are able to write the equation:
Answer:
Answer:
A:linear function for both :
beach: y=-2x+100 (x=0, y=100)
dunes=5x+20 ( when x=0, y=20 (year1995)
B: after almost 11 years: it will be year 2006 and 2007 (after 11.429 years)
C: when the two rates of erosion are equal at the rate of 77 and almost 11 years
-2x+100=5x+20
-2x-5x=-100+20
-7x=-80
-80/-7=x
x=11.429
y=77.143
