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4 years ago

A trig function given below. Describe the transformations from

Mathematics

1 answer:

Gemiola [76]4 years ago

3 0

Answer:

Parent function: y = sin(x)

Transformations:

1) horizontal translation of pi units towards left

2) stretch parallel to y-axis with factor "2'

3) vertical translations of 1 unit downwards

Range: [-3 , 1]

Step-by-step explanation:

Parent function: y = sin(x)

Transformations:

1) horizontal translation of pi units towards left

2) stretch parallel to y-axis with factor "2'

3) vertical translations of 1 unit downwards

Sketch the graph using 5 points listed below:

1) (0, -1)

2) (pi/2, -3)

3) (pi, -1)

4) (3pi/2, 1)

5) (2pi, -1)

Range: [-3 , 1]

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A unicorn daycare center requires there to be 2 supervisors for every 18 unicorns.

kykrilka [37]

Answer: The number of supervisors are 9 times the number of unicorns.

Step-by-step explanation:

Let the number of supervisors be 'n'.

Let the number of unicorns be 'u'.

According to question, a unicorn daycare center requires there to be 2 supervisors for every 18 unicorns.

So, Mathematically, it is expressed as

$\dfrac{n}{u}=\dfrac{2}{18}\\\\\dfrac{n}{u}=\dfrac{1}{9}\\\\9n=u$

so, we established the relationship between the number of supervisors and number of unicorns.

Hence, the number of unicorns are 9 times the number of supervisors.

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3 years ago

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Two old RSM students were standing 10 feet apart when they spotted Mrs. Rifkin. If

Yakvenalex [24]

Answer:

Step-by-step explanation:

Speed = Distance/time

Therefore time must = distance/speed

Since the two students are running apart from eachother, we can add their speeds together.

Also we can subtract 10 feet from our goal of 1870 since they're already 10 feet apart.

1860 feet/(150+1650) feet per minute

We can cancel out the feet since it's a common term.

And we're left with 6 minutes.

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3 years ago

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Which equation represents the circle described? (in picture)

Sedaia [141]

You are right. In circle equation we have =r² so the correct answer will be C od D. But we have to calculate the center of a circle.

$x^2+y^2-8x-6y+24=0\quad|-24\\\\(x^2-8x)+(y^2-6y)=-24$

Complete the square:

$x^2-8x+a^2\implies a=\dfrac{8x}{2x}=4\implies x^2-8x+4^2\\\\\\y^2-6y+b^2\implies b=\dfrac{6y}{2y}=3\implies y^2-6y+3^2$

And we have:

$(x^2-8x)+(y^2-6y)=-24\\\\(x^2-8x+4^2)-4^2+(y^2-6y+3^2)-3^2=-24\\\\
(x-4)^2+(y-3)^2-16-9=-24\\\\(x-4)^2+(y-3)^2-25=-24\quad|+25\\\\\boxed{(x-4)^2+(y-3)^2=1}$

So the answer is C (the same left side of equation).

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3 years ago

Cuanto es? 34= 3×3×3×3=

fgiga [73]

Answer:

Amphitrite1040

Step-by-step explanation:

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3 years ago

A cylinder has a height of 16 inches and a radius of 17 inches. What is its volume? Use ≈ 3.14 and round your answer to the ne

WITCHER [35]

Step-by-step explanation:

volume of cylinder =π r²h

= 3.14 × 17×17×16

= 14519.31 inches square .

plz mark my answer as brainlist if you find it useful

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3 years ago

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