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Marina CMI [18]
3 years ago
12

..................................................2

Mathematics
1 answer:
Semmy [17]3 years ago
8 0

Step-by-step explanation:

Given

for first circle, center is at (3,2) and radius is 2 units

General equation of circle with center (h,k) and radius r units is given by

\Rightarrow (x-h)^2+(y-k)^2=r^2

for the given circle it is

\Rightarrow (x-3)^2+(y-2)^2=2^2\\\Rightarrow (x-3)^2+(y-2)^2=4

for second circle center is at (0,-1) and radius is 3 units

Equation is given by

\Rightarrow (x-0)^2+(y+1)^2=3^2\\\Rightarrow (x-0)^2+(y+1)^2=9

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What are the solutions to the system of equations below 3y=x-2 y=-2x+4
Oduvanchick [21]

The value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a system of the equation:

3y=x-2 ..(1)

y=-2x+4  ...(2)

From the equation (2) take the value of y and plug in the equation (1)

3(-2x+4) = x -2

-6x + 12 = x - 2

7x = 14

x = 14/7

x = 2

Plug this value in the equation (2)

y = -2(2) + 4

y = 0

Thus, the value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.

Learn more about the linear equation here:

brainly.com/question/11897796

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7 0
2 years ago
At Polynomials Pizza, a large cheese pizza costs $6.50. Each additional topping for the pizza costs $1.45. The total for a large
dangina [55]

Answer:x

=

5

toppings

Step-by-step explanation:Total cost of cheese pizza:  

$

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Any additional topping adds:  

+

$

1.25

So a cheese pizza with  

1

additional topping is:

$

10.75

+

$

1.25

=

$

12.00

A cheese pizza with  

2

additional toppings is:

$

10.75

+

$

1.25

+

$

1.25

=

$

10.75

+

2

×

$

1.25

=

$

13.25

A cheese pizza with  

3

additional toppings is:

$

10.75

+

$

1.25

+

$

1.25

+

$

1.25

$

10.75

+

3

×

$

1.25

=

$

14.50

If you pay attention to the pattern you can see that, for any number of toppings, say  

x

toppings, the price is going to be:

$

10.25

+

x

×

$

1.25

We are told the final cost is  

$

17.00

. That is

$

10.25

+

x

×

$

1.25

=

$

17.00

Subtract  

$

10.25

from both sides

$

10.25

−

$

10.25

+

x

×

$

1.25

=

$

17.00

−

$

10.25

x

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$

1.25

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$

6.25

Divide both sides by  

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1.25

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$

1.25

$

1.25

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4 0
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gtnhenbr [62]

Answer:

x=4

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|2x + 5| = 13

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3 0
3 years ago
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