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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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Which is the graph of linear inequality x – 2y ≥ –12?
galben [10]

Answer:

option D

Step-by-step explanation:

x-2y≥-12

-2y≥-x-12

y≤0.5x+6

has to be a solid line since y is less than or equal to 0.5x+6

so, options 1 and 3 are not applicable

also, in y≤0.5x+6 , y is less than or equal to this line, thus it only exists on the line and to the right of it (below it)

so, option 2 is wrong also, leaving us with option 4 or D, which in this case is the answer

I attached a file of this inequality's graph to prove my answer once more

4 0
2 years ago
Madison randomly surveyed 50 students at her high school about their favorite color, and 18 students chose blue. Madison conclud
Aleks04 [339]
Should be A, if not then prolly B
4 0
2 years ago
(Car Sales) Of the cars sold during the month of July, 88 had air conditioning, 96 had automatic transmission, and 76 had power
Shalnov [3]

Answer:

Option E.

Step-by-step explanation:

Given information:

Air conditioning = 88

Automatic transmission = 96

power steering = 76

All three = 4

None of these extras = 19

Only air conditioning = 23

Only automatic transmissions = 61

Only power steering = 28

Both automatic transmission and power steering = 11

Place these values and draw a venn diagram as shown below.

Calculation for missing values:

11-4=7

96-61-4-7=24

88-24-4-23=37

From the given diagram it is clear that the number of cars that had air conditioning and automatic transmission but not power steering is 24.

Therefore, the correct option is E.

3 0
2 years ago
Read 2 more answers
Raheem buys 13 identical T-shirts and 21 identical polo shirts for £494.14. The cost of the T-shirts is £8.95. Find the cost of
Eva8 [605]

Answer:

17.99

Step-by-step explanation:

8.95x13=116.35

494.14-116.35=377.79/21=17.99

4 0
2 years ago
Read 2 more answers
1. Factor each of the following completely. Look carefully at the structure of each quadratic function and consider the best way
kvasek [131]

Answer: 1) (x - 7)(x - 8)

               2) 2x(2x-7)(x + 2)

               3) (4x + 7)²

               4) (9ab² - c³)(9ab² + c³)

<u>Step-by-step explanation:</u>

1) x² - 15x + 56  → use standard form for factoring

                    ∧

                -7 + -8 = -15

  (x - 7) (x - 8)

************************************

2) 4x³ - 6x² - 28x      → factor out the GCF (2x)

2x(2x² - 3x - 14)         → factor using grouping

2x[2x² + 4x    - 7x - 14]    

2x[ 2x(<u>x + 2</u>)   -7(<u>x + 2</u>)]

2x(2x - 7)(x + 2)

*************************************

3) 16x² + 56x + 49     → this is the sum of squares

√(16x²) = 4x      √(49) = 7

              (4x + 7)²

******************************************************

4) 81a²b⁴ - c⁶          → this is the difference of squares

√(81a²b⁴) = 9ab²       √(c⁶) = c³

       (9ab² - c³)(9ab² + c³)

   

4 0
2 years ago
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