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3 years ago

Solve the system of equations. y =+6x12 y =+x47

Mathematics

1 answer:

mario62 [17]3 years ago

5 0

Y=72 for the first option,as for the second one i don't know. Hope i helped on the first equation though :)

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Determine the equation of the circle graphed below.

sergij07 [2.7K]

Answer:

Equation = (x - 6 )² + ( y + 3 )² = 9

Step-by-step explanation:

The circle passes through ( 6, 0) and ( 6 , -6)

They are the coordinates of the diameter.

Using this we can find the centre of the circle.

Find the centre of the circle.

Centre of the circle is the mid- point of (6, 0) and ( 6, -6)

$Centre = (\frac{x_1+x_2}{2} , \frac{y_1 + y_2}{2})$

$=(\frac{6 + 6}{2}, \frac{0 + (-6)}{2})\\\\=(6, -3)$

Find the radius of the circle.

$Radius = \frac{Diameter }{2}$

Diameter is the distance between the points (6 , 0) and ( 6, - 6)

$Diameter = \sqrt{(x_2 - x_1)^2+ (y_2 - y_1)^2\\}$

$=\sqrt{(6-6)^2 + (-6 -0)^2}\\\\=\sqrt{0 + 36} \\\\= 6$

Therefore,

$Radius ,r = \frac{6}{2} = 3$

Standard equation of a circle:

$(x - a)^2 + (y - b)^2 = r^2 \ where \ (a , b) \ is \ the\ centre \ coordinates.$

Therefore , equation of the circle ;

$(x - 6)^2 + (y + 3)^2 = 3^2\\\\(x -6)^2 + (y + 3)^2 = 9$

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3 years ago

Choose a number between 67 and 113 that is a multiple of 2 6 and 10

Lilit [14]

Im going to go on and say that it is 90

8 0

3 years ago

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-2, 4, 10, 16 what’s the nth term for this sequence

Natali [406]

Answer:

every term is being added by 6

-2 + 6 = 4

4 + 6 = 10

10 + 6 = 16

16 + 6 = 22

Step-by-step explanation:

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3 years ago

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The coefficient of determination in a simple linear regression model is 64%. What is the correlation level between the dependent

svet-max [94.6K]

Answer: -0.64

Step-by-step explanation:

We know that the coefficient of determination in a simple linear regression model is denoted by $r^2$ , which gives the proportion of the variance in the dependent variable that is predictable from the independent variable.

Given, the coefficient of determination in a simple linear regression model is 64%.

i.e.

$r^2= 0.64\\\\\Rightarrow\ r=\sqrt{0.64}=\pm 0.64$

As there is negative relation between the dependent and independent variables.

Then, the correlation coefficient = -0.64

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3 years ago

Find the length indicated Find EG

Oksi-84 [34.3K]

Answer:

hope you don't mind but im using this for points

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3 years ago