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elixir [45]
3 years ago
8

Write a rule to describe the transformation

Mathematics
2 answers:
lesya [120]3 years ago
6 0

Answer:

D

Step-by-step explanation:

you need to subuce the x-2 and y-6

Vesna [10]3 years ago
4 0
D is the correct answer
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If an input is -9 what is the output for y = x(to the 2nd power) + 3?
Whitepunk [10]

Answer:

Step-by-step explanation:

6 0
3 years ago
PLEASE HELP!!!! 20 POINTS!!!!
galben [10]
These are two questions and two answers.

Question 1) Which of the following polar equations is equivalent to the parametric equations below? 

<span> x=t²
y=2t</span>

Answer: option <span>A.) r = 4cot(theta)csc(theta)
</span>

Explanation:

1) Polar coordinates ⇒ x = r cosθ and y = r sinθ

2) replace x and y in the parametric equations:

r cosθ = t²
r sinθ = 2t

3) work r sinθ = 2t

r sinθ/2 = t 
(r sinθ / 2)² = t²

4) equal both expressions for t²

r cos θ = (r sin θ / 2 )²

5) simplify

r cos θ = r² (sin θ)² / 4

4 = r (sinθ)² / cos θ

r = 4 cosθ / (sinθ)²

r = 4 cot θ csc θ ↔ which is the option A.


Question 2) Which polar equation is equivalent to the parametric equations below?

<span> x=sin(theta)cos(theta)+cos(theta)
y=sin^2(theta)+sin(theta)</span>

Answer: option B) r = sinθ + 1


Explanation:

1) Polar coordinates ⇒ x = r cosθ, and y = r sinθ

2) replace x and y in the parametric equations:

a) r cosθ = sin(θ)cos(θ)+cos(θ)
<span> b) r sinθ =sin²(θ)+sin(θ)</span>

3) work both equations

a) r cosθ = sin(θ)cos(θ)+cos(θ) ⇒ r cosθ = cosθ [ sin θ + 1]  ⇒ r = sinθ + 1


<span> b) r sinθ =sin²(θ)+sin(θ) ⇒ r sinθ = sinθ [sinθ + 1] ⇒ r = sinθ + 1
</span><span>
</span><span>
</span>Therefore, the answer is r = sinθ + 1 which is the option B.
6 0
3 years ago
Read 2 more answers
25 POINTS!
ludmilkaskok [199]
I would say it is <span>D- (-4,-5), for counterclockwise you turn towards the right. At 180 degrees it would be (4, -5) if you turn again you would get (-4,-5) hope this helps</span>
3 0
4 years ago
What is the constant term in the polynomial 2x3 - 8x2 + 5x -28
cricket20 [7]

Answer:

Constant Term

The term in a simplified algebraic expression or equation which contains no variable(s). If there is no such term, the constant term is 0.

 

Example:   –5 is the constant term in p(x) = 2x3 – 4x2 + 9x – 5

 

6 0
3 years ago
The Thompson Family decides to plant a total of 180 plants in order to prepare for a larger
Licemer1 [7]

Answer: 54 berry plants

Step-by-step explanation:

From the sample there are:

Lettuce = 12

Tomatoes = 6

Peppers = 3

Berries = 9

The total is: = 12 + 6 + 3 + 9 = 30 plants

Berries comprise of:

= 9/30

= 3/10 of the plants

If they want to plant a total of 180, the number of berrie plants needed is:

= 3/10 * 180

= 54 berry plants

8 0
3 years ago
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