Slope of AD = (2k - 0)/(2j -b - 0) = 2k/(2j - b)
slope of BC = (2k - 0)/(2j - b) = 2k / (2j - b)
AD ║ BC (same slope)
Slope of AB = 0
Slope of DC = 0
AB║DC
Answer:
0.15-0.75p? YES
-0.45-0.6+0.75P? NO
-3(-0.05+0.25p)? YES
-3(0.15)+(-3)(0.2)+(-3)(0.25p)? NO
Step-by-step explanation:
-3(0.15-0.2+0.25p)
=-0.45+0.6-0.75p
=0.15-0.75p
1. 0.15-0.75p=0.15-0.75p? YES
2. -0.45-0.6+0.75P=0.15-0.75p?
-1.05+0.75p=0.15-0.75p? NO
3. -3(-0.05+0.25p)=0.15-0.75p?
0.15-0.75=0.15-0.75p? YES
4. -3(0.15)+(-3)(0.2)+(-3)(0.25p)=0.15-0.75p?
-0.45-0.6-0.75p=0.15-0.75p?
-1.05-0.75p=0.15-0.75p? NO
Answer:
10 and 12
Step-by-step explanation:
let the consecutive even integers be n and n + 2 , then
n² - 64 = 3(n + 2) ← distribute parenthesis
n² - 64 = 3n + 6 ( subtract 3n + 6 from both sides )
n² - 3n - 70 = 0 ← in standard form
(n - 10)(n + 7) = 0 ← in factored form
Equate each factor to zero and solve for n
n - 10 = 0 ⇒ n = 10
n + 7 = 0 ⇒ n = - 7
Since n must be a positive even integer then n = 10 and n + 2 = 10 + 2 = 12
The 2 numbers are 10 and 12
