Answer:
x^2 + (x + 2)^2 = 202
x^2 + x^2 + 4x + 4 = 202
2x^2 + 4x + 4 = 202
2x^2 + 4x - 198 = 0
x^2 + 2x - 99 = 0
x = -2/2 ± √((2/2)^2 - (-99))
x = 9 or x = -11
-11 is not a positive number so the number is 9.
Answer:
i think it should be 36%
Step-by-step explanation:
Answer:
4$ for large 3$ for a small
Step-by-step explanation:
Answer:
66.7% = 0.667 in decimal form.
Hope that helps!
Answer:
k = –10
Step-by-step explanation:
From the question given above, the following data were obtained:
f(x) = x³ – 6x² – 11x + k
Factor => x + 2
Value of K =?
Next, we shall obtained the value of x from x + 2. This is illustrated below:
x + 2 = 0
Collect like terms
x = 0 – 2
x = –2
Finally, we shall determine the value of k as illustrated below:
f(x) = x³ – 6x² – 11x + k
x = –2
Thus,
f(–2) = 0
x³ – 6x² – 11x + k = 0
(–2)³ – (–2)² – 11(–2) + k = 0
–8 – (4) + 22 + K = 0
–8 – 4 + 22 + K = 0
10 + k = 0
Collect like terms
k = 0 – 10
k = –10
Thus, the value of k is –10
