In can be less mental effort if the equation is multiplied by -1 first.
.. x^2 -10x +8 = 0
.. x^2 -10x +25 +8 -25 = 0
.. (x -5)^2 = 17
.. x -5 = ±√17
.. x = 5 ±√17
The values of x that satisfy the given equation are
.. x = 5 -√17 ≈ 0.877
.. x = 5 +√17 ≈ 9.123
Answer:
C' (-4 , 2)
slope of new line = line "L" = -2
Step-by-step explanation:
C (x₀,y₀): (0,2) dilation center (h,k): (2,2) scale factor (sf): 3
C' (x,y)
x = 2 + 3*(0-2) = -4 x = h + sf*(x₀ - h)
y = 2 + 3*(2-2) = 2 y = k + sf*(y₀ - k)
C' (-4 , 2)
slope of new line = line "L" = -2
Answer: The probability of rolling a number greater than two is 5/6.
Step-by-step explanation:
So there are 12 possible outcomes for rolling a number greater than two since the die is numbered from 1 to 12.
And in all the numbers, 10 of which is greater than 2.
so you will divide 10 over the total outcomes.
10/12 = 5/6 or 0.833..
You said that n = 5m
AND n = m + 36 .
Well then, if those two quantities are both equal to 'n', then
they must be equal to each other, and we can write
5m = m + 36
Subtract 'm' from each side: 4m = 36
Divide each side by 4 : m = 9 .
OK. We're half done.
Way back at the beginning, the first thing you told me
was that 'n' is 5 times the value of 'm'.
n = 5 (m)
Well ! Now we know what 'm' is, so
n = 5 (9) = 45 .
Answer:
= 13.25 dollars
Step-by-step explanation:
The total cost of the books is
0.75*9=6.75
So the amount of money returned is 20-6.75
= 13.25 dollar
