9514 1404 393
Answer:
14 units
Step-by-step explanation:
The angle bisector divides the sides proportionally, so you have ...
(x+4)/8 = (2x+1)/12
3(x +4) = 2(2x +1) . . . . . . multiply by 24
3x +12 = 4x +2 . . . . . . . . eliminate parentheses
10 = x . . . . . . . . . . . subtract (3x+2)
Then BD = x+4 = 10 +4.
The length of BD is 14 units.
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<em>Additional comment</em>
The "triangle" cannot exist, as the side lengths are shown as 8, 12, and 35. The long side is too long. Nice math; bad geometry.
The WRONG Answer is 3 percent
Step-by-step explanation:
I’m from FLVS
The average rate of change in the monthly rate per year is -$0.056 i.e decreases by 0.056 every consecutive year.
Step-by-step explanation:
Step 1; The initial value is $7.69 in 1980 and the final value is $6.13 in 2008.
Difference in values = Final value - initial value = $6.13- $7.69 = -$1.56 (the negative symbol indicates that the cost has gone down with time)
Period between the values =Final year - initial year = 2008 - 1980 = 28 years.
Step 2; To find the rate of change per year, we divide the difference in values in that given period of time by the number of years in that period.
Rate of change per year = Difference in values in that period/ no of years.
= -$1.56 / 28 = -$0.056 (the negative symbol indicates that the cost has gone down with time)
So for every year between 1980 and 2008, the price of the monthly rate for basic able TV reduced by $0.056.
Answer:
y^2-y^1 over x^2-x^1 is slope intercept form
The maximum amount of profit the carnival makes based on the number of tickets sold is 6.5 thousand of dollars,
<h3>How to determine the difference?</h3>
The function is given as:
f(x) = -0.5x^2 + 5x - 6
Differentiate the function
f'(x) = -x + 5
Set to 0
-x + 5 = 0
Make x the subject
x = 5
Substitute x = 5 in f(x)
f(5) = -0.5 * 5^2 + 5 * 5 - 6
f(5) = 6.5
The table is not given.
Hence, the maximum amount of profit the carnival makes based on the number of tickets sold is 6.5 thousand of dollars,
Read more about quadratic functions at:
brainly.com/question/18797214
