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Leviafan [203]
3 years ago
8

A pair of weak earthquakes is modeled by a system of inequalities. One earthquake occurred roughly 20 km east and 14 km north of

the center of Columbia, NC. The quake could be felt from 25 km away. A couple days later, another earthquake occurred 8 km west and 3 km north of the center of Columbia and could be felt from 14 km away. If Columbia is located at (0, 0) on a coordinate grid, the system of inequalities represents this scenario.
StartLayout Enlarged left-brace first row (x minus 20) squared + (y minus 14) squared less-than-or-equal-to 625 second row (x + 8) squared + (y minus 3) squared less-than-or-equal-to 196 EndLayout

Which location relative to Columbia felt both earthquakes?

4 km west and 12 km south
6 km west and 4 km north
2 km east and 10 km north
6 km east and 8 km north
Mathematics
2 answers:
AfilCa [17]3 years ago
5 0

Answer:

2 km east and 10 km north

Step-by-step explanation:

I did the activity and got the right answer.

sladkih [1.3K]3 years ago
4 0

Answer:

2 km east and 10 km north

Step-by-step explanation:

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3 years ago
What is the inverse of the function f(x)=1/9x+2
laiz [17]
Inverse works in this way:

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you should swap the places of x and y and find y again, in this case it will be

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and finally we got y = \frac{1}{(x-2)*9}
8 0
4 years ago
How would I solve this. <br> If you answer I will give brainliest.
kobusy [5.1K]

Answer:

∠ QPR = 64.5°

Step-by-step explanation:

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5 0
3 years ago
If events X and Y are independent, what must be true? Check all that apply. P(Y | X) = 0 P(X | Y) = 0 P(Y | X) = P(Y) P(Y | X) =
lana [24]

if events X and Y are independent, then for intersection we multiply the probability

P(Y∩X)  = P(Y) * P(X)

We know that

P(Y|X) =\frac{P(YintersectionX)}{P(X)}

Now we replace P(Y) * P(X) for  P(Y∩X)

P(Y|X) =\frac{P(Y)*P(X)}{P(X)}

Cancel out P(X)

So P(Y|X) = P(Y)

Like that

P(X|Y) =\frac{P(XintersectionY)}{P(Y)}

Now we replace P(X) * P(Y) for  P(X∩Y)

P(X|Y) =\frac{P(X)*P(Y)}{P(Y)}

Cancel out P(Y)

So P(X|Y) = P(X)

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3 0
3 years ago
Read 2 more answers
A right square pyramid is pictured below. if l is 15 cm and x is 18 cm, what is the surface area of the pyramid?
Nady [450]

Answer:

The surface area of square pyramid is 953.64  cm² .

Step-by-step explanation:

Given as for a square pyramid :

The height of pyramid = l  = 15 cm

The base of square pyramid = x = 18 cm

Now,

The surface area of square Pyramid = b^{2} + 2b\times \sqrt{\frac{b^{2}}{4}+h^{2}}

or , The surface area of square Pyramid = x^{2} + 2x\times \sqrt{\frac{x^{2}}{4}+l^{2}}

Or, The surface area of square Pyramid = 18^{2} + 36\times \sqrt{\frac{18^{2}}{4}+15^{2}}

Or,  The surface area of square Pyramid = 324 + 36 × \sqrt{81 + 225}

or,  The surface area of square Pyramid = 324 + 36 × 17.49

Or , The surface area of square Pyramid = 324 + 629.64 = 953.64 cm²

Hence The surface area of square pyramid is 953.64  cm² .  Answer

8 0
4 years ago
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