Answer:
2
Step-by-step explanation:
Slope (m) is equal to the change in the y-coordinate divided by the change in the x-coordinate.
The change in y= 6
The change in x= 3
6/3 =2
Answer:
A. 0 <= x <= 8
Step-by-step explanation:
4 <= x + 4 <= 12
Remove 4 from all sides
4 - 4 <= x + 4 -4 <= 12 - 4
0 <= x <= 8
He should calmly leave and then report the threat.
Answer:
B
Step-by-step explanation:
Answer:
p = 0, p = 12
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 then the nature of its roots is given by the discriminant
Δ = b² - 4ac
For equal roots b² - 4ac = 0
Given
x² -(p - 2)x + 2p + 1 = 0 ← in standard form
with a = 1, b = - (p - 2), c = 2p + 1, then
[- (p - 2)]² - (4 × 1 × 2p + 1) = 0
(p - 2)² - 4(2p + 1) = 0
p² - 4p + 4 - 8p - 4 = 0
p² - 12p = 0 ← factor out p from each term
p(p - 12) = 0
Equate each factor to zero and solve for x
p = 0
p - 12 = 0 ⇒ p = 12
