Find the distance between the points (0,2) and (-4,-4)

1 answer:

Nutka1998 [239]4 years ago

6 0

Distance formula : sqrt ((x2 - x1)^2 + (y2 - y1)^2
(0,2)....x1 = 0 and y1 = 2
(-4,-4)...x2 = -4 and y2 = -4
now we sub
d = sqrt ((-4 - 0)^2 + (-4 - 2)^2)
d = sqrt (-4^2) + (-6^2)
d = sqrt (16 + 36)
d = sqrt (52)
d = 7.2

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Select all of the following that are ordered pairs of the given function f(x)=3-2x

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3 years ago

2v+18=16-4(v+7) how does one do this

Pani-rosa [81]

v = - 5

distribute right side of equation and simplify

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3 years ago

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ELEN [110]

Answer:

6/5 or 1.2, they're the same value

Step-by-step explanation:

When it says "rate of change", it's really just asking for the slope. If you don't know what the slope is, essentially how much the y-value increases by whenever x increases by 1. This can be formally defined using the equation: $\frac{y_2-y_1}{x_2-x_1}$ which is essentially $\frac{rise}{run}$ . The subtraction is finding the difference between the two numbers to see how much it's changed by. Btw the order doesn't matter, I could plug in (-3, -2) as (x2, y2) or I could plug it in as (x1, y1) as long as I make sure to input it in correctly. In this example I'll just say (-3, -2) = (x1, y1) and (2, 4) = (x2, y2). Plugging these values into the equation gives you: $\frac{4- (-2)}{2- (-3)} = \frac{6}{5}$ that's the rate of change