All categories

2 years ago

PLEASE HELP!!! Which equation represents this ellipse?

Mathematics

1 answer:

Alona [7]2 years ago

5 0

Answer:

y²/25+x²/4=1

Step-by-step explanation:

The equation for an ellipse is either categorized as

x²/c² + y²/d² = 1 . In such an equation, the vertices on the x axis are categorized by (±c,0) and the vertices on the y axis are (0, ±d)

In the ellipse shown, the vertices/endpoints on the x axis are (-2,0) and (2,0). This means that c is equal to 2. Similarly, on the y axis, the endpoints are (5,0) and (-5,0), so d=5.

Our equation is therefore x²/2²+y²/5²=1 = x²/4+y²/25=1

Our answer is therefore the fourth option, or

y²/25+x²/4=1

You might be interested in

Find the domain and range of the function graphed. Assume that the function has arrows that extend the graph past the screen sho

3241004551 [841]

Put the dot on the 5 and than go down 4 i think this is right but i might be wrong sorry if i am

5 0

3 years ago

Determine whether the series is convergent or divergent. [infinity] n = 1 1 n√9 the series is a ---select--- p-series with p =

inna [77]

The series is a convergent p-series with p = 3

<h3>How to know it is a divergent or a convergent series</h3>

We would know that a series is a convergent p series when we have ∑ 1 np. Then you have to be able to tell if the series is a divergent p series or it is a convergent p series.

The way that you are able to tell this is if the terms of the series do not approach towards 0. Now when the value of p is greater than 1 then you would be able to tell that the series is a convergent series.

The value of $\sqrt{9}= 3$

The formular for this is

∑ $\frac{1}{n^p} \\$

where n = 1

we know it is convergent because p is greater than 1. 3>1

Read more on convergent series here:

brainly.com/question/337693

#SPJ1

6 0

1 year ago

HELP MEEEEE PLEASEEEEEE

Sindrei [870]

Answer:

$x=16\dfrac{28}{37}\\ \\y=5\dfrac{1}{3}\\ \\z=7.5$

Step-by-step explanation:

The diagram shows three paralel lines which divide the large triangle into three similar triangles.

By Thales theorem,

$\dfrac{5}{z}=\dfrac{y}{8}=\dfrac{2}{3}$

Then

$\dfrac{5}{z}=\dfrac{2}{3}\Rightarrow 2z=15,\ z=7.5\\ \\\dfrac{y}{8}=\dfrac{2}{3}\Rightarrow 3y=16,\ y=\dfrac{16}{3}=5\dfrac{1}{3}$

From the similarity of triangles,

$\dfrac{x}{20}=\dfrac{z+8}{z+8+3}\\ \\\dfrac{x}{20}=\dfrac{7.5+8}{7.5+8+3}\\ \\\dfrac{x}{20}=\dfrac{15.5}{18.5}\\ \\x=20\cdot \dfrac{155}{185}=20\cdot \dfrac{31}{37}=\dfrac{620}{37}=16\dfrac{28}{37}$

6 0

3 years ago

A biased dice was rolled and the scores recorded in the table below

dusya [7]

Given:

The table of score and frequency.

To find:

The probability that on the next roll the score will be 4.

Solution:

From the given table it is clear that the score 4 occurs 10 times.

Number of times the dice was rolled = 17 + 24 + 23 + 10 + 16 + 30

= 120

The probability that on the next roll the score will be 4 is

$\text{Required probability}=\dfrac{\text{Number of times 4 occurs}}{\text{Number of times the dice was rolled}}$

$\text{Required probability}=\dfrac{10}{120}$

$\text{Required probability}=\dfrac{1}{12}$

Therefore, the required probability is $\dfrac{1}{12}$ .

8 0

3 years ago

1 cm = 5km scale ratio

Stells [14]

Answer: Definition: Ratio of the size of the map to its subject: Scale ... so scale = 1 cm / 100,000 cm = 1/100,000. - Scale ... STEP 1: - 2 cm represents 5 km

Step-by-step explanation:

STEP 1: - 2 cm represents 5 km - (write in full)

- STEP 2: - 1 cm represents 2.5 km - (divide so left side = 1)

- STEP 3: - 1 cm represents 250,000 cm - (convert to same units)

- STEP 4: - scale is 1 : 250,000 - (express as a representative fraction)

4 0

3 years ago