Answer:
m = 4 or m = -8
Step-by-step explanation:
length between 2 points = √(difference of x)² + (difference of y)²
AB² = (m - (-2))² + (5 - 3)² = (m + 2)² + 4 = m² + 4m +8
AC² = ((-1) - (-2))² + (0 - 3)² = 10
AB² = 4AC²
m² + 4m +8 = 40
m² + 4m - 32 = 0
(m - 4) (m + 8) = 0
m = 4 or m = -8
Just asking. How are we supposed to answer this without some sort of picture with a graph or something? :/
Ratio of loss of tinme of Jackies warch to the gain of time of Adam's watch is 2 : 1
Let the number of hour ellapsed at the time they are twelve minutes apart be x, then
2x + x = 12
⇒ 3x = 12
⇒ x = 12 / 3 = 4
Thus, after 4 hours Jackie's watch has lost 8 minutes and Adam's watch has gained 4 minutes.
Therefore, the real time at the time they arrive at the airport is 10:00 am.
Answer:
Graph D
Step-by-step explanation:
Move the constant to the opposite side of the equation and group terms that include the same variable.
g(x) + 1 = x^2 + 2x
Finish the square. Remember to keep the equation balanced by using the same constants on both sides.
g(x) + 1 + 1 = x^2 + 2x + 1
g(x) + 2 = x^2 + 2x + 1
Rewrite as perfect squares
g(x) + 2 = (x + 1)^2
Equation in vertex form:
g(x) = (x + 1)^2 - 2
The vertex:
(-1, -2)
* This a minimum *
- <em>(Parabola open upward)</em>
38383833333333333333333333
