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2 years ago

Which is the graph of g(x)?

Mathematics

1 answer:

faust18 [17]2 years ago

6 0

Answer: A because its always A

Step-by-step explanation:

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Write the equation of the circle below to complete the square. Also determine the area of the circle.

diamong [38]

Answer: $(x-7)^2+(y+2)^2=11^2$ ; $A=121\pi$

Step-by-step explanation:

I have never done a problem like this, so this is my first time attempting it.

The standard form for the equation of a circle is:

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

Begin by grouping the 'x' terms and 'y' terms:

$(x^2-14x)+(y^2+4y-68)=0$

Complete the square for the second polynomial:

$(\frac{b}{2} )^2=(\frac{4}{2} )^2=4$

$(x^2-14x)+(y^2+4y+4-4-68)=0$

$(x^2-14x)+(y^2+4y+4)-4-68=0$

$(x^2-14x)+(y^2+4y+4)-72=0$

$(x^2-14x)+(y+2)^2-72=0$

Do the exact same process with the other polynomial:

$(x^2-14x-72)+(y+2)^2=0$

Complete the square:

$(\frac{14}{2} )^2=49$

$(x^2-14x+49-49-72)+(y+2)^2=0$

$(x^2-14x+49)-49-72+(y+2)^2=0$

$(x^2-14x+49)-121+(y+2)^2=0$

$(x-7)^2-121+(y+2)^2=0$

Bring the 121 to the other side to get:

$(x-7)^2+(y+2)^2=121$

$(x-7)^2+(y+2)^2=11^2$

The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:

$A=\pi r^2=121\pi$

8 0

1 year ago

ANSWER FAST PLZ 25 POINTS!!!!!!!!!!!!!!!

liberstina [14]

Answer:

44?

Step-by-step explanation:

3 0

2 years ago

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Fatima needs at least $20 to buy a purse. She

Kitty [74]

Answer:

Fatima will nee to sell 10 cookies.

Step-by-step explanation:

6 0

2 years ago

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Tessa had $35. She bought a book for $7 and a magazine for $5. Which expression correctly shows the total money Tessa has left?

aniked [119]

Answer:ANSWER: $35 + (-$7) + (-$5)

Step-by-step explanation:

Total - book $ - magazine $

Which is equal to:

Total + (-book $) + (-magazine $)

$35 + (-$7) + (-$5)

Hope this helps! :)

4 0

2 years ago

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A sofa regularly sells for 860. The sale price is 670.80. Find the percent decrease of the sale price from the regular price

andre [41]

Answer:

-22%

Step-by-step explanation:

The percent decrease can be found by subtracting the original amount from the sale price. Divide the result by the original price and multiplying the decimal by 100 for the percent.

670.80 - 860 = -189.2

-189.2/860 = -0.22

-0.22*100 = -22%

4 0

2 years ago

Which is the graph of g(x)? ​

Which is the graph of g(x)?