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SashulF [63]
2 years ago
14

The epicenter of an earthquake is the point on Earth’s surface directly above the earthquake’s origin. A seismograph can be used

to determine the distance to the epicenter of an earthquake. Seismographs are needed in three different places to locate an earthquake’s epicenter. Find the location of the earthquake’s epicenter if it is 3 miles away from A(2,3), 4 miles away from B(−5,3), and 5 miles away from C(−1,−2).
Please help out thank you !

Mathematics
1 answer:
DaniilM [7]2 years ago
5 0

Answer:

I used desmos and plotted all three circles. The point that hey all intersected was (-1, 3).

Step-by-step explanation:

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lianna [129]
<h2>-2+5i and 2+5i</h2>

Step-by-step explanation:

   Let the complex numbers be a+ib\textrm{ and }c+id.

Given, sum is 10i, difference is -4 and product is -29.

(a+c)+i(b+d)=10i ⇒ a+c=0,b+d=10

(a-c)+i(b-d)=-4 ⇒ a-c=-4,b-d=0

a=-2,c=2,b=5,d=5

(a+ib)(c+id)=(-2+5i)(2+5i)=-4-25=-29

Hence, all three equations are consistent yielding the complex numbers -2+5i\textrm{ and }2+5i.

8 0
2 years ago
Find a b if a = 3i + 8j and b = -0.5i -4j.
Gekata [30.6K]

Answer:

-33.5

Step-by-step explanation:

So this is a dot products vector problem, so the i and j represent x and y or horizontal and vertical components. So you multiple 3i and -0.5i and then separately multiply 8j and -4j. You get -1.5 and -32. Now all you have to do is add them and you get -33.5.

Basically in short:

1. Multiply the “i’s”.

2. Multiply the “j’s”.

3. Add the two products together.

HOPE THIS HELPS !! :-)

3 0
2 years ago
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M a right angle. 2 lines form a right angle. Another line extends between the 2 lines to form 2 angles. The top angle is labeled
siniylev [52]

Answer:

i think it's congruent .

Step-by-step explanation:

8 0
2 years ago
The organizers of a talent show have budgeted $1800 to buy souvenir clothing to sell at the event. They can buy shirts for $10 e
ki77a [65]

Let s represent number of shirts and h represent number of hats.

We have been given that the organizers of a talent show have budgeted $1800 to buy souvenir clothing to sell at the event. They can buy shirts for $10 each and hats for $8 each.

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10s+8h\leq 1800

We are also told that organizers plan to buy at least 5 times as many shirts as hats. This means that number of shirts should be greater than or equal to 5 times hats. We can represent this information in an inequality as:

s\geq 5h

Therefore, the second inequality should be s\geq 5h and option C is the correct choice.

6 0
2 years ago
-67b + 6 ≤ 9b + 43 solve for b
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Answer:

b ≥  -(37/76)

Step-by-step explanation:

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