A triangle has side lengths measuring 3x cm, 7x cm, and h cm. Which expression describes the possible values of h, in cm?
1 answer:
You might be interested in
It says Dallas didn't make any free throws. It means there are short field goals (SFG) and long field goals (LFG) only.
Let's assume number of SFG = x
and number of LFG = y
Given that 2 points for a short field goal, and 3 points for a long field goal.
Total Score = 2x+3y
Also, Total score = 36 (given in the question)
So we have the equation
where x and y are integers.
when SFG=0, then x=0 and so 3y=36.
y=12 i.e. LFG = 12
So the extreme case is (0,12) i.e. SFG=0 and LFG=12.
Other cases would be integral vales of (x,y) which satisfy the equation 2x+3y=36.
So (3,10) , (6,8) , (9,6) , (12,4) , (15,2) , and (18,0) are other cases.
Hence final answers are (x,y) = (0,12) , (3,10) , (6,8) , (9,6) , (12,4) , (15,2) , and (18,0)
Let's assume number of SFG = x
and number of LFG = y
Given that 2 points for a short field goal, and 3 points for a long field goal.
Total Score = 2x+3y
Also, Total score = 36 (given in the question)
So we have the equation
where x and y are integers.
when SFG=0, then x=0 and so 3y=36.
y=12 i.e. LFG = 12
So the extreme case is (0,12) i.e. SFG=0 and LFG=12.
Other cases would be integral vales of (x,y) which satisfy the equation 2x+3y=36.
So (3,10) , (6,8) , (9,6) , (12,4) , (15,2) , and (18,0) are other cases.
Hence final answers are (x,y) = (0,12) , (3,10) , (6,8) , (9,6) , (12,4) , (15,2) , and (18,0)