Answer:
a = 12
Step-by-step explanation:
as C^2 = A^2 + B^2
by Pythagoras theorem
so
A^2 = C^2 - B^2
= 13^2 - 5^2
= 169- 25
144
as 12^2 is equal to 144
hence side a is equal to 12
He is only 0.6 seconds behind so it is a fair race
A parabola in analytical geometry is a curve drawn that has either 2 x-intercepts or y-intercepts. You can see visually that it is a parabola if it forms an arc that passes either the x-axis or y-axis twice. Nevertheless, it would have two roots, so the equation must be quadratic.There are 2 possible equations for a parabola:
(x-h)² = +/- 4a(y-k) or
(y-k)² = +/- 4a(x-h), where
(h,k) are the coordinated of the vertex
a is the distance of the focus from the vertex
From the problem, it says that the vertex is at the origin, so the coordinates are (0,0). That means h=0 and k=0. Also, the focus is a=3. Thus, the possible equations for the reflector are
x² = +/- 12y and y² = +/- 12x
Any of those are possible because the problem mentions that it can open anywhere. Therefore, it could open downwards(-) or upwards(+) if it passes the x-axis twice; or to the left(-) or to the right(+) if its passes the y-axis twice.
Answer:
7x+18
Step-by-step explanation:
Answer:
Julio's score change by (-230) or we can say Julio lost 230 points after his first three turns.
Step-by-step explanation:
We are given the following in the question:
Points lost after first turn = 95
Points lost after second turn = 55
Points lost after third turn = 80
We have to evaluate the change in Julio's score after his first three turns.
This could be done by adding three negative integers.
Here we use negative integers to represent Julio's point as these points were lost in the turn.
Change in Julio's score =

Thus, Julio's score change by (-230) or we can say Julio lost 230 points after his first three turns.