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charle [14.2K]
3 years ago
7

Please help if you can Thank you in advance:)

Mathematics
1 answer:
Radda [10]3 years ago
3 0

Answer:

Step-by-step explanation:

The diameter of the circle is the distance from the endpoint to another endpoint. The diameter of the given circle is segment PQ. To determine the diameter of the circle, we would apply the formula for determining the distance between two points on a straight line is expressed as

Distance = √(x2 - x1)² + (y2 - y1)²

Therefore,

Diameter = √(1 - - 3)² + (9 - 5)²

Diameter = √4² + 4² = √32

Radius = diameter/2 = √32/2

A circle is the set of all points in a plane equidistant from a fixed point called the origin or center.

The center of the circle is determined by applying the midpoint formula

(x1 + x2)/2, (y1 + y2)/2

= (- 3 + 1)/2, (5 + 9)/2

Center = (- 1, 7)

The formula for determining the equation of a circle us expressed as

(x - h)² + (y - k)² = r²

Where

r represents the radius of the circle

h and k represents the x and y coordinates of the center of the circle. Comparing with the given points,

h = - 1 and k = 7

Substituting into the formula, it becomes

(x - h)² + (y - k)² = r²

(x - - 1)² + (y - 7)² = (√32/2)²

(x + 1)² + (y - 7)² = 32/4

(x + 1)² + (y - 7)² = 8

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7.Sabrina wants to deposit $3,066 into savings accounts at three different banks: Bank of the US,
sweet-ann [11.9K]

The amount Sheila deposits in the Bank of US saving account is $511.

Sabrina has a total of $3,066 she wants to deposit. She has three banks that she wants to deposit her money in.

Let, a represent the amount she would deposit she would invest 7/4 bank.

The amount invested in Catch bank = 6 x a = 6a

The amount invested in Bank of US = 20% x ( 6a + a)

= 0.2 x 7a

= 1.4a

The total amount invested in the three banks can be represented with this equation:

1.4a + a + 6a = 3066

In order to determine the amount she would save in the Bank of US, the amount deposited in 7/4 bank has to be determined first.

8.4a = 3066

a = $365

The amount deposited in the Bank of US = 1.4a

= 1.4 x 365

= $511

A similar question was answered here: brainly.com/question/2289204?referrer=searchResults

7 0
3 years ago
Prove that 3:8 is equivalent to 12:32
Julli [10]
3 times 4 is equal to 12
8 times 4 is equal to 32
therefore 3:8 is equal to 12:32
hope this helps
3 0
3 years ago
9. If PQRS is a kite, find RQ. *<br><br> 17 ft.<br> 23 ft.<br> 30 ft.<br> 12 ft.
svetlana [45]

Answer:

17 ft

Step-by-step explanation:

The triangle on the bottom left is a right triangle.

a² + b² = c²

(8 ft)² + (15 ft)² = (RQ)²

64 ft² + 225 ft² = (RQ)²

(RQ)² = 289 ft²

RQ = 17 ft

4 0
2 years ago
Solve using the square root property.X^2=-12
Alla [95]

Answer:

x = ± 2i\sqrt{3}

Step-by-step explanation:

note that \sqrt{-1} = i

x² = - 12 ( take square root of both sides )

x = ± \sqrt{-12} = ± \sqrt{4(3)(-1)} = ± 2i\sqrt{3}

5 0
2 years ago
What number represents the same amount as 2 hundreds ++plus 14 tens ++plus 3 ones?
Dennis_Churaev [7]

343 is the answer because 14 tens is 1 hundred and 4 tens

4 0
3 years ago
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