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
The answers is the 3rd one f(x)=x2-10x+21 hope this helps :)
Answer:
116 and 64 degrees.
Step-by-step explanation:
Supplementary angles add up to 180 degrees so we can create the following equation and solve for x:
4x + 2x + 6 = 180
6x + 6 = 180
6x = 180 - 6 = 174
x = 174/6 = 29.
So the first angle is 4*29 = 116 degrees and the second is 2*29 + 6 = 64 degrees.
To confirm these results add them up: 116 + 64 = 180 degrees.
Answer:
Step-by-step explanation:
4 1/4x7/8
I think 119/32
The answer and work is shown by the picture given.