ANGELS & DEMONS

At the present time...

Enclave within the

City of Rome…

…is the Vatican City where the papacy

exists.

But one tragic day, the unexpected occurred…

The present pope suddenly passed away… mysteriously.

The papal conclave was left with no choice but

to convene to elect the new pontiff.

These are the Cardinals who are considered to be the most likely candidates

in the election

UNFORTUNATELY

the secret society of the secret society of legend, long thought legend, long thought to be extinct, seems to be extinct, seems to have resurfacedto have resurfaced

The four cardinals were held captives and it was later revealed that the

Illuminati is the one responsible for it and

they have also stolen a canister containing a quarter of a gram of

antimatter—an extremely dangerous

substance with immense destructive potential comparable to a small

nuclear weapon, a potential unleashed

upon contact with any form of normal matter.

THE CARDINALS WILL BE KILLED THE CARDINALS WILL BE KILLED ONE BY ONE IN THEIR ONE BY ONE IN THEIR

DESIGNATED CHURCH AND DESIGNATED CHURCH AND AFTER WHICH, AS THE CLOCK AFTER WHICH, AS THE CLOCK STRIKES TWELVE, THE ANTI-STRIKES TWELVE, THE ANTI-MATTER WILL EXPLODE AND MATTER WILL EXPLODE AND

DESTROY EVERYTHING WITHIN DESTROY EVERYTHING WITHIN ITS REACH...ITS REACH...

The lives of the four The lives of the four cardinals…cardinals…

VATICAN AND ITS VATICAN AND ITS PEOPLE…PEOPLE…

SAVE THEM AND THE WORLD SAVE THEM AND THE WORLD FROM DESTRUCTION…FROM DESTRUCTION…

CAN YOUCAN YOU?... ?... ..WILL YOUWILL YOU?...?.....

IT’S UP TO YOUIT’S UP TO YOU

You have to solve each problem You have to solve each problem correctly to proceed to the next correctly to proceed to the next

location, find the next clue and solve location, find the next clue and solve the mystery.the mystery.

Each cathedral corresponds to an Each cathedral corresponds to an answer. You have to click the answer. You have to click the

cathedral that corresponds to your cathedral that corresponds to your answer. answer.

Let the quest Let the quest begin!!!begin!!!

The path of light is The path of light is laid, the sacred test, laid, the sacred test, Let angels guide you Let angels guide you on your lofty queston your lofty quest

Where will the first crime happen?...Where will the first crime happen?...

To know, answer this…To know, answer this…

It is the set of all points in the plane It is the set of all points in the plane and the sum of whose distances from and the sum of whose distances from two fixed points is constant?two fixed points is constant?

ellipse conics parabola hyperbola

View Answer

ELLIPSEELLIPSE

GREAT!!! YOU HAVE UNVEILED THE FIRST LOCATION. NOW, YOU HAVE

TO ANSWER CORRECTLY THIS PROBLEM IN ORDER TO SAVE THE

FIRST CARDINAL AND GET THE CLUE THAT WILL LEAD YOU TO

YOUR NEXT LOCATION.

What is the perpendicular bisector of What is the perpendicular bisector of the major axis of an ellipse?the major axis of an ellipse?

Minor axisX-axis Major axis Y- axis

View Answer

MINOR AXISMINOR AXIS

WONDERFUL!!! YOU HAVE SAVED THE FIRST CARDINAL. NOW, YOU HAVE TO ANSWER CORRECTLY THIS PROBLEM IN ORDER TO GET TO THE NEXT

LOCATION.

What is the standard form of the What is the standard form of the equation of an ellipse which the foci equation of an ellipse which the foci on the x-axis and center at the on the x-axis and center at the origin?origin?

y=mx+b x² + y²=1 a² b²

ax²+bx+c=o

View Answer

x² + y²=1 b² a²

x² + y²=1 a² b²

fantastic!!! YOU HAVE UNVEILED THE second

LOCATION. NOW, YOU HAVE TO ANSWER CORRECTLY THIS PROBLEM IN ORDER TO SAVE THE second CARDINAL AND GET THE next CLUE THAT WILL LEAD YOU TO YOUR

NEXT LOCATION.

What is the standard form of the What is the standard form of the equation of an ellipse with center at equation of an ellipse with center at (h,k) and the foci at (h,k+c) and (h,k-(h,k) and the foci at (h,k+c) and (h,k-c)?c)?

(x-h)²+(y-k)²=1

b² a²

y=x²

View Answer

y²=x (x-h)²+(y-k)²=1

a² b²

(x-h)²+(y-k)²=1 b² a²

excellent!!! YOU HAVE SAVED THE second CARDINAL. NOW,

YOU HAVE TO ANSWER CORRECTLY THIS PROBLEM IN ORDER TO GET TO THE NEXT

LOCATION.

Give the equation of the ellipse with Give the equation of the ellipse with foci at (2,0) and (-2,0) and vertices at foci at (2,0) and (-2,0) and vertices at (4,0) and (-4,0).(4,0) and (-4,0).

y=2x+12 x² + y²=1 36 25

16x²+12x+4=o

View Answer

x² + y²=1 16 12

e=c/a =2/4 =1/2b=√a² (1-e²) = √16 (1-1/4) = √16(3/4) = √12 =2 √3

x² + y²=116 12

magnificent!!! YOU HAVE UNVEILED THE third LOCATION. NOW, YOU HAVE TO ANSWER CORRECTLY THIS PROBLEM IN

ORDER TO SAVE THE third CARDINAL AND GET THE next CLUE THAT WILL LEAD YOU TO

YOUR NEXT LOCATION.

(3,1) (8,-3)

View Answer

(-2,-3) (3,-7)

Given: (x-3)²+(y+3)²=1

25 16

Find the exact location of Sta. Maria Della Vittoria which is located east from the center.

(h+a,k)=(3+5,-3)(h+a,k)=(3+5,-3)

= (8,-3)= (8,-3)

WONDERFUL!!! YOU HAVE SAVED THE THIRD CARDINAL. NOW, YOU

HAVE TO ANSWER CORRECTLY THIS PROBLEM IN ORDER TO GET

TO THE NEXT LOCATION.

Given: (x-3)²+(y+3)²=1

25 16St . Peter’s Basilica is located West from

the center, based on the equation, find the distance from the church where the cardinal that represents the fire is held captive.

y=2x+12 x² + y²=1 36 25

16x²+12x+4=o

View Answer

x² + y²=1 16 12

2a=2(5)=10 miles2a=2(5)=10 miles

WOW!!! YOU HAVE UNVEILED THE FOURTH LOCATION. NOW, YOU HAVE TO ANSWER CORRECTLY

THIS PROBLEM IN ORDER TO SAVE THE FOURTH CARDINAL AND GET THE next CLUE THAT WILL LEAD YOU TO YOUR NEXT LOCATION.

(3,1) (8,-3)

View Answer

(3,-7) (-2,-3)

Given: (x-3)²+(y+3)²=1

25 16

What is the exact location of Piazza Navona from the center (3,-3)?

(h,k-b)=(3,-3-4)(h,k-b)=(3,-3-4)

=(3,-7)=(3,-7)

Good job!!! YOU HAVE SAVED THE fourth CARDINAL. NOW,

YOU HAVE TO ANSWER CORRECTLY THIS PROBLEM IN ORDER TO deactivate the anti-

matter, to stop it from exploding and find out the lair

of the illuminati.

View Answer

Given: (x-3)²+(y+3)²=1

25 16

What is the exact location of the Chigi Chapel?

(3,-7) (3,1) (-2,-3) (8,-3)

(h,k+b)=(3,-3+4)(h,k+b)=(3,-3+4)

=(3,1)=(3,1)

TERRIFIC!!! YOU found the lair of the illuminati, DEACTIVATED THE

ANTIMATTER, STOPPED IT FROM EXPLODING AND SAVED THE

CARDINALS, VATICAN CITY AND ITS PEOPLE AND MOST ESPECIALLY, THE WORLD. ALL YOU HAVE TO DO NOW IS CATCH THE CULPRIT BEHIND ALL

THESE.

Who do you think is the culprit?Who do you think is the culprit?

This problem, when answered This problem, when answered correctly, will reveal the mastermind.correctly, will reveal the mastermind.

Find the standard form of the equation Find the standard form of the equation of an ellipse given the general of an ellipse given the general equation equation

9x9x²+ y²+18x-12y-180=0²+ y²+18x-12y-180=0

View answer

(x+1)²+(y-6)²=1 25 225

(x+1)²+(y-6)²=1 225 25

9x9x²+ y²+18x-12y-180=0²+ y²+18x-12y-180=0

9x9x²+ 18x+y²-12y=180²+ 18x+y²-12y=180

9(x²+2x+1)+(y²-12y+36)=180+459(x²+2x+1)+(y²-12y+36)=180+45

[9(x+1)² + (y-6)²=225]1/225[9(x+1)² + (y-6)²=225]1/225

(x+1)²(x+1)² + + (y-6)²(y-6)²=1=1

25 22525 225

Congratulations!!! You have captured the real

culprit… You have successfully finished

the game.

GAME GAME OVEROVER

SUBMITTED AND CREATED BY:SUBMITTED AND CREATED BY:

INTES, LUCILLE B.INTES, LUCILLE B.

MALBAS, NIÑA LOVENDER H.MALBAS, NIÑA LOVENDER H.

NOLASCO, CECILLE MAE D. NOLASCO, CECILLE MAE D.

SUBMITTED TO:SUBMITTED TO:

SIR VIE RYAN AMAMANGPANGSIR VIE RYAN AMAMANGPANG