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SashulF [63]
4 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]4 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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If f(x) = 7x+6 and g(x)=8x-4 find f(g(-2))
sp2606 [1]

Answer:

f(g(-2))=-134

Step-by-step explanation:

So we have the two functions:

f(x)=7x+6\text{ and } g(x)=8x-4

And we want to find f(g(-2)).

First, let's find g(-2):

g(-2)=8(-2)-4

Multiply:

g(-2)=-16-4

Subtract:

g(-2)=-20

Now, substitute:

f(g(-2))=f(-20)

Now, find the value of f(-20):

f(-20)=7(-20)+6

Multiply:

f(-20)=-140+6

Add:

f(-20)=-134

So:

f(g(-2))=-134

And we're done!

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3 years ago
2(-6+2)/4<br><br> I’m really confused.
Luba_88 [7]

Answer: -2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
In a survey of employees at a fast food​ restaurant, it was determined that 15 cooked​ food, 12 washed​ dishes, 21 operated the
andre [41]

This question is incomplete

Complete Question

In a survey of employees at a fast food​ restaurant, it was determined that 15 cooked​ food, 12 washed​ dishes, 21 operated the cash​ register, 7 cooked food and washed​ dishes, 6 cooked food and operated the cash​ register, 6washed dishes and operated the cash​ register, 4 did all three​ jobs, and 7 did none of these jobs

(a) Only cooked food?

(b) Only operate the cash register?

Answer:

(a) Only cooked food?

6

(b) Only operate the cash register?

13

Step-by-step explanation:

From the above question, we have the following information:

15 cooked​ food

12 washed​ dishes

21 operated the cash​ register

7 cooked food and washed​ dishes

6 cooked food and operated the cash​ register

6washed dishes and operated the cash​ register

4 did all three​ jobs

7 did none of these jobs

(a) Only cooked food?

This would be calculated as

Number of people that cooked food + Number of people that did all three jobs - Number of people that cooked food and washed​ dishes - Number of people that cooked food and operated the cash​

= 15 + 4 - 7 - 6

= 19 - 13

= 6

Therefore ,only 6 people cooked food

(b) Only operate the cash register?

This would be calculated as

Number of people that operated cash register + Number of people that did all three jobs - Number of people that cooked food and operated the cash​ register - Number of people that washed dishes and operated the cash​ register

= 21 + 4 - 6 - 6

= 25 - 12

= 13

Therefore, only 13 people operated cash register.

7 0
3 years ago
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enot [183]
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8 0
3 years ago
Match the proof part 1:​
konstantin123 [22]

Answer:

A, B, C

Step-by-step explanation:

Step 1: "AB ≅ DE, AC ≅ DF, and ∠A ≅ ∠D"

A. Given.

This is the information that was given in the problem statement.

Step 2: "ΔABC ≅ ΔDEF"

B. Side-Angle-Side Postulate (SAS)

The SAS postulate says that if two triangles have a pair of congruent angles between two pairs of congruent sides, then the triangles must be congruent.  From the previous step, we can conclude the triangles are congruent.

Step 3: "∠C ≅ ∠F"

C. Corresponding parts of congruent triangles are congruent (CPCTC)

In Step 2, we established the triangles are congruent.  So now we can conclude that the corresponding angles are congruent.

3 0
3 years ago
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