What is the domain of (49,infinity) in inequality form?

Mathematics

1 answer:

valentinak56 [21]3 years ago

3 0

$(a,b)=\{x|a\ \textless \ x\ \textless \ b\}$

In our case:

$(49,\infty) \Rightarrow 49\ \textless \ x$

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Use the explicit formula an = a1 + (n - 1) • d to find the 350th term of the sequence below. 57, 66, 75, 84, 93, ... A. 3234 B.

mylen [45]

To use the equation we need a1 and d(the common difference).
We have a1 = 57, we need to find d.
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Dmitriy789 [7]

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A boat leaves a dock and travels 9 miles due north and 12 miles due west. Find how far the boat is from the dock. Type the corre

adelina 88 [10]

Answer:

15 miles

Step-by-step explanation:

Let's say the dock is at the origin on a coordinate plane and each unit is 1 mile. If the boat travels 9 mile due north, that means that we move up from the origin (0, 0) 9 units to point A (0, 9). Now, this boat moves 12 miles due west, so we will go 12 units to the left of (0, 9) to point B (-12, 9). See the attached drawing (sorry for the crudeness).

Notice that this is a right triangle with legs of 9 and 12. That means the distance from the boat to the dock is just the hypotenuse, so use the Pythagorean Theorem: distance = $\sqrt{9^2+12^2} =\sqrt{81+144} =\sqrt{225} =15$