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3 years ago

4)What kind of shape do the parametric equations make?X= 7sin(theta), y= 2cos(theta)

Mathematics

1 answer:

Monica [59]3 years ago

5 0

Answer:

Ellipse

Step-by-step explanation:

Given

$x = 7sin\theta$

$y= 2cos\theta$

Required

The kind of shapes with such equations

This answer to this question is(B) Ellipse

The parametric equation of an ellipse is represented as:

$x = asin(\theta)$ and $y = bcos(\theta)$

In this case:

$a=7\ b = 2$

So:

$x = 7sin\theta$ and $y= 2cos\theta$

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Susan made the following 3-dimensional figure from a net. What 2-dimensional shapes are used to make the faces of the figure?

konstantin123 [22]

Answer:

Step-by-step explanation:

I don't know if there was a picture, but d will made a triangular prism. All are possible but they will look more like a dome.

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3 years ago

What is the line of symmetry for the parabola whose equation is y = 3x2 + 24x - 1? x = -8 x = -6 x = -4

Viktor [21]

X= -b/2a = -24/6 = -4

4 0

3 years ago

Read 2 more answers

3x - 3y = -3<br>2x - y = -5

Korolek [52]

For this case we must solve the following system of equations:

$3x-3y = -3\\2x-y = -5$

To solve we follow the steps below:

We multiply the second equation by -3:

$-6x + 3y = 15$

Thus, we have the equivalent system:

$3x-3y = -3\\-6x + 3y = 15$

We add the equations:

$3x-6x-3y + 3y = -3 + 15\\-3x = -3 + 15\\-3x = 12\\x = \frac {12} {- 3}\\x = -4$

We look for the value of the variable "y":

$2 (-4) -y = -5\\-8-y = -5\\-y = -5 + 8\\-y = 3\\y = -3$

Thus, the solution of the system is given by:

$(x, y): (- 4, -3)$

Answer:

$(x, y): (- 4, -3)$

4 0

3 years ago

Latitude and longitude describe locations on the Earth with respect to the equator and prime meridian. The table shows the

Contact [7]

Answer:

Step-by-step explanation:

Given that latitude and longitude describe locations on the Earth with respect to the equator and prime meridian.

Latitude High Temp

("N)

12 53

16 41

30 67

36 63

32 70

11 58

10 61

33 67

30 72

Slope 0.732

Int -21.56266667

Regression line is y = 0.732x-21.563 where x represents the latitude and y high temperature

Since slope = 0.732, we get temp increases by 0.8 degree for 1 degree increasenorth in latitude

Hence option c is right

7 0

3 years ago

Read 2 more answers

Evaluate the following double integral: xy dA D where the region D is the triangular region whose vertices are (0, 0), (0, 3), (

natulia [17]

Answer:

I= 84

Step-by-step explanation:

for

$I=\int\limits^{}_{} \int\limits^{}_D {x*y} \, dA = \int\limits^{}_{} \int\limits^{}_D {x*y} \, dx*dy$

since D is the rectangle such that 0<x<3 , 0<y<3

$I=\int\limits^{}_{} \int\limits^{}_D {x*y} \, dA = \int\limits^{3}_{0} \int\limits^{3}_{0} {x*y} \, dx*dy = \int\limits^{3}_{0} {x} \, dx\int\limits^{3}_{0} {y} \, dy = x^{2} /2*y^{2} /2 = (3^{2} /2 - 0^{2} /2)* (3^{2} /2 - 0^{2} /2) = 3^{4} /4 = 81/4$

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3 years ago