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charle [14.2K]
2 years ago
14

What is the radius of a circle if it’s center is (1,2) and one point on the circle is (1,6)?

Mathematics
1 answer:
dem82 [27]2 years ago
3 0

because the x values are identical the radius would be found by subtracting the y values.


6-2 = 4


the radius is 4

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What number must be added to the expression below to complete the<br> square?<br> х2 - 20х
DochEvi [55]

Answer:

100

Step-by-step explanation:

This is formula fot completing the square:

(b/2)^(2)

(-20/2)^(2)

100

6 0
3 years ago
1.) (-18, -20) (18, 16)
aleksandrvk [35]

1.) (-18, -20) (18, 16)

m= 1

2.) (-7, 14) (-11, 4)

m= 5/2

3.) (-5, -4) (3, 9)

m= 13/8

4.) (13, -8) (-9, -1)

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3 0
3 years ago
Write an exponential model given the points ( 7, 12 ) and ( 8, 25 ). Round to the nearest hundredth.
inna [77]

Answer:

The exponential model is y = 0.07\cdot e^{0.73\cdot x}.

Step-by-step explanation:

The exponential model can be modelled by the following mathematical expression:

y = A\cdot e^{B\cdot x} (1)

Where:

x - Independent variable.

y - Dependent variable.

A, B - Coefficients.

If we know that (x_{1}, y_{1}) = (7,12) and (x_{2}, y_{2}) = (8,25), then we get the following system of equations:

A\cdot e^{7\cdot B} = 12 (2)

A\cdot e^{8\cdot B} = 25 (3)

If we divide (3) by (2), we calculate the value of B:

e^{B}=\frac{25}{12}

B = \ln \frac{25}{12}

B \approx 0.734

And by (2), we determine the value of A:

A = 12\cdot e^{-7\cdot B}

A = 0.0704

The exponential model is y = 0.07\cdot e^{0.73\cdot x}.

4 0
2 years ago
Identify as many solutions to the equation below as you can.<br> x + y = 12
harkovskaia [24]

Answer:

infinite

Step-by-step explanation:

because there is an infinite amount of numbers there is an infinite amount of solutions

5 0
2 years ago
Two variables have a positive linear correlation. Does the dependent variable increase or decrease as the independent variable​
andriy [413]
When two variables have a positive linear correlation, the dependent variable increases as the independent variable increases. So when the independent variable decreases, the dependent variable decreases as well. Both variables decrease and increase simultaneously.
8 0
3 years ago
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