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fiasKO [112]
3 years ago
6

Q5: Identify the graph of the equation and write an equation of the translated or rotated graph in general form.

Mathematics
2 answers:
Gennadij [26K]3 years ago
6 0

Answer:

d.

ellipse;

Step-by-step explanation:

MAVERICK [17]3 years ago
4 0

Answer:

d.\:ellipse;\:3x^2+y^2+6x-6y+3=0.

Step-by-step explanation:

The given conic has equation;

3x^2+y^2=9

Divide through by 9.

\Rightarrow \frac{3x^2}{9}+\frac{y^2}{9}=\frac{9}{9}

\Rightarrow \frac{x^2}{3}+\frac{y^2}{9}=1.

This is an ellipse centered at the origin;

This ellipse has been translated so that the center is now at;

(-1,3)

The translated ellipse has equation;

\frac{(x+1)^2}{3}+\frac{(y-3)^2}{9}=1.

Clear the fraction;

3(x+1)^2+(y-3)^2=9.

Expand;

3(x^2+2x+1)+(y^2-6y+9)=9.

3x^2+6x+3+y^2-6y+9=9.

Write in general form;

3x^2+y^2+6x-6y+9-9+3=0.

3x^2+y^2+6x-6y+3=0.

The correct choice is D

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2 years ago
The ratio of money in Obi's wallet to Rudy's wallet one day was 5:2.
mamaluj [8]

Answer:

The amount that Obi initially had was £20

Step-by-step explanation:

Let

x ----> amount that Obi initially has

y ----> amount that Rudy has

we know that

\frac{x}{y} =\frac{5}{2}

x=2.5y ----> equation A

x-20=y-8

y=x-20+8

y=x-12 ----> equation B

Solve the system by substitution

substitute equation A in equation B

y=(2.5y)-12

solve for y

2.5y-y=12\\1.5y=12\\y=8

Find the value of x

x=2.5(8)=20

therefore

The amount that Obi initially had was £20

4 0
3 years ago
Find all 6 trig functions given the terminal side goes through point (0,-3)
d1i1m1o1n [39]
So hmm notice the picture below

that's (0, -3)

now, keep in mind, adjacent is 0, opposite is -3, and hypotenuse, or radius, is 3

and recall  sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}

\\ \quad \\\\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}
\qquad \qquad 
% cotangent
cot(\theta)=\cfrac{adjacent}{opposite}
\\ \quad \\

% cosecant
csc(\theta)=\cfrac{hypotenuse}{opposite}
\qquad \qquad 
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sec(\theta)=\cfrac{hypotenuse}{adjacent}

8 0
3 years ago
-7(y – 5) + 8 = -27<br> help?
katovenus [111]

Answer:

10

Step-by-step explanation:

-7y + 35 + 8 = -27

collect like terms

-7y = -27 - 35 - 8

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y= -70/-7

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5 0
2 years ago
Read 2 more answers
Help help help help help help help help help help help help help
Sever21 [200]

Answer:

its 24

kasi binabaliktad lang po ang year at value nya

7 0
3 years ago
Read 2 more answers
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