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3 years ago

suppose a circle with center (1,-3) passes through point (1,-1). Which equation represents the circle ?

Mathematics

2 answers:

NikAS [45]3 years ago

6 0

Answer:

The answer is C) (x − 1)^2 + (y + 3)^2 = 4

Step-by-step explanation:

The radius is the distance between the center and the point on the circle.

Center: (1, −3); Point: (1, −1)

Distance formula: d = square root of {(x2 - x1)^2 + (y2 - y1)^2}

r = square root of {(1 − 1)^2 + (−1 + 3)^2 }

r = square root of {0 + 4 } = 2

(x − h)^2 + (y − k)^2 = r2 ----> (x − 1)^2 + (y + 3)^2 = 4

Hope this isn't confusing and helps. I also know its right because I just did this on USA Testprep.

horsena [70]3 years ago

4 0

Answer:-4

Step-by-step explanation:

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Square 24-×whenx=6. Write in radical form

Delicious77 [7]

Answer:

√ 18 = 3 √2

Step-by-step explanation:

So 24-6 is 18 and then the square root of that. You have to divide by a perfect square and the largest perfect square that can go into 18 is nine because 3x3. 9 can go into 18 2 times so it is 2 radical 9

5 0

3 years ago

The water tank in your school holds 20 liters of water. One day it was 34 full. That day, 14 liters of tank capacity was used up

Alex787 [66]

Answer:

Step-by-step explanation:

The water tank in the school hold 20 liters of water

One day it was 34 liters full

14 liters of water was used up

Therefore the quantity of water left can be calculated as follows

= 34-14

= 20

Hence 20 liters of water remains in the tank

6 0

3 years ago

Martin says that 1/3 + 1/6=2/9 Use the drop-down menus to explain why Martin is incorrect. Martin is incorrect because is incorr

Nana76 [90]

Answer:

A. is incorrect. He has to divide 76 by 19, instead of subtracting 19 to 76.

B. This equation has one solution. v=4

Step-by-step explanation:

Hi, Martin’s answer is incorrect.

A. He has to divide 76 by 19, instead of subtract 19 to 76.

The correct steps are:

19v = 76

Since 19 is multiplying the variable, to eliminate it we have to divide by 19.

v = 76/19

v = 4

B. This equation has one solution. It’s v=4

Feel free to ask for more if needed or if you did not understand something.

5 0

2 years ago

Find all solutions to

BARSIC [14]

Answer:

x= 0 , $\frac{1}{14}$ , $\frac{-1}{12}$

Step-by-step explanation:

Given, equation is $\sqrt[3]{15x-1}$ + $\sqrt[3]{13x+1}$ = $4\sqrt[3]{x}$ . →→→ (1)

Now, by cubing the equation on both sides, we get

( $\sqrt[3]{15x-1}$ + $\sqrt[3]{13x+1}$ )³ = ( $4\sqrt[3]{x}$ )³

⇒ (15x-1) + (13x+1) + 3× $\sqrt[3]{15x-1}$ × $\sqrt[3]{13x+1}$ ( $\sqrt[3]{15x-1}$ + $\sqrt[3]{13x+1}$ ) = 64 x.

⇒ 28x + 3× $\sqrt[3]{15x-1}$ × $\sqrt[3]{13x+1}$ ( $4\sqrt[3]{x}$ ) = 64x.

(since from (1), $\sqrt[3]{15x-1}$ + $\sqrt[3]{13x+1}$ = $4\sqrt[3]{x}$ )

⇒ 12× $\sqrt[3]{15x-1}$ × $\sqrt[3]{13x+1}$ ( $\sqrt[3]{x}$ )= 36x.

⇒ 3x = $\sqrt[3]{(15x-1)(13+1)(x)}$ .

Now, once again cubing on both sides, we get

(3x)³ = ( $\sqrt[3]{(15x-1)(13+1)(x)}$ )³.

⇒ 27x³ = (15x-1)(13x+1)(x).

⇒ 27x³ = 195x³ + 2x² - x

⇒ 168x³ + 2x² - x = 0

⇒ x(168x² + 2x -1) = 0

⇒ by, solving the equation we get ,

x = 0 ; x = $\frac{1}{14}$ ; x = $\frac{-1}{12}$

therefore, solution is x= 0 , $\frac{1}{14}$ , $\frac{-1}{12}$

7 0

3 years ago

PLS HELP ASAP! LAST DAY OF SCHOOL!

lianna [129]

Area of triangles: 1/2 x b x h
area of square: l x w

Triangle
1/2 x 7 x 4= 14, but there are 3 of them so 42
Square: 7 x7 = 49

49 + 42 = 91

6 0

3 years ago