Find the distance between the pair of points. (7, -17) and (-22, 12)

1 answer:

7 0

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(-22 - 7)^2 + (12 + 17)^2}\\= \sqrt{(-29)^2 + 29^2} = \sqrt{841 + 841} = \sqrt{1682} = 29\sqrt{2}$

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If A and B are independent events, P(A and B) =

Sergio039 [100]

Answer:

If A and B are independent events, P(A and B) = P (A) * P (B)

Step-by-step explanation:

Let's recall that independent events means that when one event occurs, it has no impact or influence on the probability of another event occurring. Here’s an example. Let’s say that we have two events, A and B.

Event A : it rains in Seattle

Event B : the Super Bowl match is cancelled in Miami

The two events are independent; if it rains in Seattle, this will have no impact on the probability that the Super Bowl match is cancelled in Miami. Raining in Seattle and the cancellation of the Super Bowl are independent events, therefore:

P(A and B) = P (A) * P (B)

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3 years ago

At what point does a line with a slope of 34 and a y-intercept of -5 intersect a line with a slope of −14 and a y-intercept of 3

maw [93]

Set them into slope-intercept forms of equations then set those equations equal to each other and solve for x and y. y = 34x - 5 and y = -14x+3. Set those equal to each other, solve for x to get x = 1/6. Sub in that x value to get y = 2/3. The point where they intersect is the solution of the system; in other words, where on both lines we have the exact same (x, y) value.

4 0

3 years ago

Find each sum or difference -8/35+2/5=

Alexxandr [17]

Answer:

6/35

Step-by-step explanation:

change 2/5 to 14/35 so the denominators are even.

after that you get -8/35+14/35

then you get 6/35

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3 years ago