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2 years ago

2/3 time g equals 45 What does g equal

Mathematics

2 answers:

lions [1.4K]2 years ago

7 0

Answer:

g=7.5

Step-by-step explanation:

2/3g=45

divide both sides by 2/3

g=7.5

g=7 1/2

KiRa [710]2 years ago

7 0

Answer:

67.5

Step-by-step explanation:

2/3*g=45

g=45*3/2

g=67.5

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Answer:

Step-by-step explanation:

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2 years ago

If (8, −9) and (6, −3) are the endpoints of the diameter of a circle, what is the equation of the circle?

Umnica [9.8K]

$(x-7)^{2} + (y+6)^{2} = 10$ is the equation of the required circle.

Step-by-step explanation:

Step 1 :

Let A = (8,-9) and B = (6,-3) be the endpoints of the diameter of the given circle.

We need to determine the circle's equation with this diameter

Step 2 :

The mid point of the diameter will be center of the required circle.

Let M = (x,y) be the mid point of the circle.

So we have x = (8+6)÷ 2 , y = ((-9) + (-3)) ÷ 2

M = ( 7, -6) is the midpoint of the diameter and the center of the circle.

Step 3 :

The radius of the circle is distance between midpoint and any one of the end point of the diameter that is distance between point A(8,-9) and M ( 7,-6)

Distance between the 2 points $(x_{1} ,y_{1}) and (x_{2} ,y_{2})$ is given by

$\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2} }$

So distance between A(8,-9) and M ( 7,-6) = $\sqrt{(7-8)^{2}+ (-6-(-9))^{2} }$

= $\sqrt{(1)^{2}+ (3)^{2} } = \sqrt{10 }$

Hence the radius r is $\sqrt{10}$

Step 4 :

The equation of circle with center (a,b) = (7,-6) and radius r = $\sqrt{10}$ is given by

$(x-a)^{2} + (y-b)^{2} = r^{2}$

=> $(x-7)^{2} + (y-(-6))^{2} = (\sqrt{10} )^{2}$

=> $(x-7)^{2} + (y+6)^{2} = 10$ is equation of the required circle.

Step 5 :

Answer :

$(x-7)^{2} + (y+6)^{2} = 10$ is equation of the required circle.

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3 years ago

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Harman [31]

Answer:

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8 0

2 years ago

Please Help! Will Give Brainlest!

Slav-nsk [51]

Answer:

y = - 1

Step-by-step explanation:

the midline is positioned midway between the maximum and minimum values , that is

maximum value = 2 and minimum value = - 4 , then

y = $\frac{2-4}{2}$ = $\frac{-2}{2}$ = - 1

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3 0

2 years ago

Solve the following system of equations: 3x − 2y = 6 6x − 4y = 12 (0, 0) (6, 12) Infinitely many solutions No solutions

Fantom [35]

<u>Answer:</u>

The correct answer option is: infinitely many solutions.

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

We are given the following system of equations:

$3 x - 2 y = 6$ --- (1)

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Dividing equation (2) by 2 to get:

$3 x - 2 y = 6$ --- (3)

As the equation (3) is same as the equation (1), therefore the system will have infinitely many solutions.

7 0

3 years ago

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