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3 years ago

6

Please help it’s urgent! it’s tangent lines

1 answer:

sleet_krkn [62]3 years ago

3 0

The answer should be 24, because you can mark out 5,and 10 cuz it doesn’t make since

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Dada la ecuacion 25x2 + 4y2 = 100, determina las coordenadas de los vertices, focos, las longitudes de los respectivos ejes mayo

Likurg_2 [28]

Answer:

The given equation is

$25x^{2} +4y^{2}=100$

Which represents an elipse.

To find its elements, we need to divide the equation by 100

$\frac{25x^{2} +4y^{2} }{100} =\frac{100}{100} \\\frac{x^{2} }{4} +\frac{y^{2} }{25} =1$

Where $a^{2} =25$ and $b^{2}=4$ . Remember that the greatest denominator is $a$ , and the least is $b$ . So, we extract the square root on each equation.

$a=5$ and $b=2$ .

In a elipse, we have a major axis and a minor axis. In this case, the major axis is vertical and the minor axis is horizontal, that means this is a vertical elipse.

The length of the major axis is $2a=2(5)=10$ .

The length of the minor axis is $2b=2(2)=4$ .

The vertices are $(0,5);(0,-5)$ and $(2,0);(-2,0)$ .

Now, the main parameters of an elipse are related by

$a^{2}=b^{2} +c^{2}$ , which we are gonna use to find $c$ , the parameter of the focus.

$c=\sqrt{a^{2}-b^{2} }=\sqrt{25-4}=\sqrt{21}$

So, the coordinates of each focus are $(0,\sqrt{21})$ and $(0,-\sqrt{21})$

The eccentricity of a elipse is defined

$e=\frac{c}{a}=\frac{\sqrt{21} }{5} \approx 0.92$

The latus rectum is defined

$L=\frac{2b^{2} }{a}=\frac{2(4)}{5} =\frac{8}{5} \approx 1.6$

Finally, the graph of the elipse is attached.

7 0

3 years ago

I'm not sure understanding this at ALLLLL

IgorLugansk [536]

Answer:

17. Scale Factor is 3:1

18. Scale Factor is 1:3

Step-by-step explanation:

Scale Factor: In two similar shapes, the ratio of their corresponding sides is called scale factor.

17. Give the scale factor of Figure A to Figure B

Figure A has sides:

Hypotenuse = 15

Perpendicular = 12

Base = 9

Figure B has sides:

Hypotenuse = 5

Perpendicular = 4

Base = 3

So, if we divide all sides of figure A by 3 we get Figure B

So, Figure A : Figure B

3:1

18. Give the scale factor of Figure B to Figure A

Figure B has sides:

Hypotenuse = 5

Perpendicular = 4

Base = 3

Figure A has sides:

Hypotenuse = 15

Perpendicular = 12

Base = 9

If we multiply 3 with the sides of Figure B we can get the sides of Figure A.

So scale factor is 3.

So, Figure B : Figure A

1:3

7 0

3 years ago

Read 2 more answers

padilas [110]

Answer:

The answer is 100.5 $in^{3}$ .

Step-by-step explanation:

To solve for the volume of the cylinder, use the cylinder volume formula, which is V = $\pi r^{2} h$ .

Next, plug in the information given from the problem, and the formula will look like V = $(\pi) (2 in^{2}) (8 in)$ .

Then, solve the equation, and the answer will be 100.5 $in^{3}$ .

8 0

3 years ago

List 3 Values That Would Make This Inequality True.

pentagon [3]

Y could equal anything equal to or greater than 3. you can use 3, 4, 5, 6, 7 etc.

3 0

3 years ago

What is the common ratio of the geometric sequence 16, 24, 36, 54, ...?

Elanso [62]

3/2
divide the term but he previous and figure out the sequence

4 0

3 years ago

Read 2 more answers