<span>The standard equation of a circle with center (h, k) and radius : r
is (x - h)² + (y - k)² = r².
h=7 k = -2 r = 11
the center is ( 7, -2) and radius 11</span>
Answer:
Five touchdowns were made in the game
Step-by-step explanation:
Here, we want to know the number of touchdowns made during the game.
We proceed as follows;
Let the number of touch downs be x
So the total points earned through touchdowns is 6 * x = 6x
The number of scores is 10 times
Let the number of extra kick be y which means that the number of conversions will be (y-1)
So the total number of score times will be ;
x + y + y-1 = 10
x + 2y = 11 •••••••••(i)
Now let’s work with points
Touch down points = 6 * x = 6x
Points from extra kick = 1 * y = y
Points from 2-point conversions = 2(y-1) = 2y - 2
So;
6x + y + 2y -2 = 37
6x + 3y = 37 + 2
6x + 3y = 39
divide through by 3
2x + y = 13 •••••••(ii)
So now solve simultaneously
From ii, y = 13 - 2x
Put this into i
x + 2(13-2x) = 11
x + 26 - 4x = 11
x -4x = 11-26
-3x = -15
x = -15/-3
x = 5
There are five touchdowns in the game
See the picture, using Pythagorean’s theorem
Answer:
A function that gives the of tickets is given by
where u is number of consecutive wins
Step-by-step explanation:
Given that,
Initial amount of fans is =200.
For each wins, the number ticket sells is also increased by a factor of 1.1.
After 
win, the number of tickets fans will be 200×1.1
After 
win, the number of tickets fans will be 200×1.1×1.1
=200(1.1)²
After 
win, the number of tickets fans will be 200×1.1×1.1×1.1
=200(1.1)³
and so on.
After 
win, the number of tickets fans will be 
.
A function that gives the of tickets is given by
where u is number of consecutive wins
Answer:
2 solutions for this equation because the highest power is 2
