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serg [7]
2 years ago
11

5-4-3-2

Mathematics
2 answers:
weeeeeb [17]2 years ago
5 0

Answer:

1st option

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 2, 1 ) and r = 3 , then

(x - (- 2) )² + (y - 1)² = 3² , that is

(x + 2)² + (y - 1)² = 9 ← expand factors using FOIL

x² + 4x + 4 + y² - 2y + 1 = 9

x² + 4x + y² - 2y + 5 = 9 ( subtract 9 from both sides )

x² + 4x + y² - 2y - 4 = 0 , that is

x² + y² + 4x - 2y - 4 = 0 ← in general form

Ludmilka [50]2 years ago
3 0

Answer:

\textsf{1)} \quad x^2+y^2+4x-2y-4=0

Step-by-step explanation:

<u>Equation of a circle</u>

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

where:

  • (a, b) is the center
  • r is the radius

From inspection of the graph:

  • center of the circle = (-2, 1)
  • radius of the circle = 3

Substitute the found values into the formula:

\implies (x-(-2)^2+(y-1)^2=3^2

\implies (x+2)^2+(y-1)^2=9

Expand and simplify:

\implies (x+2)^2+(y-1)^2=9

\implies x^2+4x+4+y^2-2y+1=9

\implies x^2+y^2+4x-2y+5=9

\implies x^2+y^2+4x-2y-4=0

Learn more here:

brainly.com/question/27783217

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The cost of a baguette and a cup is 1.45 the cost of 2 baguettes and a cup is 2.10 what is the cost of the cup
olga2289 [7]

Answer:

0.80

Step-by-step explanation:

2.10-1.45=0.65

0.65=1 baugette

1.45-0.65=0.8

0.8=1 cup

5 0
3 years ago
What is the equation of this graphed line?
o-na [289]

Answer:

y = 2x + 2

Step-by-step explanation:

Notice that this line passes thru (-4, -6) and (2, 6). As we move from (-4, -6) and (2, 6), x increases by 6 and y increases by 12.  Thus, the slope is

m = rise / run = 12/6 = 2.

From the graph we can see that the y-intercept is (0,2).  Thus, the slope-intercept equation of this line is:

y = 2x + 2

8 0
3 years ago
Read 2 more answers
Using the exponential growth function for the U. S. population from 1970 through 2003:
jeka94

Answer:

Step-by-step explanation:

Using the exponential growth function for the U. S. population from 1970 through 2003:

A = 205.1e^0.011t

with the U.S. population being 205.1 million in 1970, when would the U. S. population reach 350 million?

A.

2028

B.

2048

C.

2018

D.

2038

We have the expression

A = 205.1e^0.011t

We are asked to find when would the U. S. population reach 350 million

A = 350

350 = 205.1e^0.011t

We divide both sides by 205.1

Divide both sides by 205.1

350/205.1 = 205.1e^0.011t/205.1

1.7064846416 = e^0.011t

We take the log of both sides

log 1.7064846416 = log e^0.011t

log 1.7064846416 = t log 0.011

t = log 1.7064846416/ log 0.011

t = 0.1185057826

7 0
3 years ago
Suppose there is a 2.1°F drop in temperature for
Leno4ka [110]
It would be 42.8

How I got this answer :

Every thousand feet is 2.1 and then times that by 12 giving you 25.8 ( 2.1 x 12 = 25.2)

So now you will get the original temperature (68.0) ( 68.0 - 25.2 = 42.8)

And thats your answer

8 0
2 years ago
Use the Distributive Property to simplify
Anon25 [30]

well what i got was:

the exact form: 233/28

decimal form: 7.96428571...

mixed number form: 7 27/28

not sure if this is right at all but i hope it helps at least a little

8 0
3 years ago
Read 2 more answers
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