All categories

3 years ago

Find the center, vertices, and foci of the ellipse with equation 2x2 + 7y2 = 14.

Mathematics

2 answers:

Harman [31]3 years ago

4 0

Answer:

Center: (0, 0); Vertices: (-√ 7,0),(√ 7,0) Foci: (-√ 5,0),(√ 5,0)

Step-by-step explanation:

Center is at (0,0) because you can see it when graphed. Same with everything else.

Molodets [167]3 years ago

3 0

Answer:

Vertex 1 : ( √ 7 , 0 ) Vertex 2 : ( − √ 7 , 0 )

Foci: Ordered pair negative square root 5 comma 0 and ordered pair square root 5 comma 0

center:(0,0)

Step-by-step explanation:

You might be interested in

A coin bank that excepts only nickels and dimes contains $9.15. There are three more than twice as many nickels as there are dim

valentinak56 [21]

45 dimes and 93 nickels were in bank

<em><u>Solution:</u></em>

Let "n" be the number of nickels

Let "d" be the number of dimes

We know that,

value of 1 nickel = $ 0.05

value of 1 dime = $ 0.10

<em><u>Given that There are three more than twice as many nickels as there are dimes</u></em>

Number of nickels = 3 + 2(number of dimes)

n = 3 + 2d ---- eqn 1

<em><u>Also given that coin bank that excepts only nickels and dimes contains $9.15</u></em>

number of nickels x value of 1 nickel + number of dimes x value of 1 dime = 9.15

$n \times 0.05 + d \times 0.10 = 9.15$

0.05n + 0.10d = 9.15 ---- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Substitute eqn 1 in eqn 2

0.05(3 + 2d) + 0.10d = 9.15

0.15 + 0.1d + 0.10d = 9.15

0.2d = 9

From eqn 1

n = 3 + 2(45)

n = 3 + 90 = 93

Thus 45 dimes and 93 nickels were in bank

3 0

3 years ago

Alyssa spent $15 at the mall yesterday. She now has $30 left in her purse.

Umnica [9.8K]

She had 45$ before she spent it. 30+15

4 0

3 years ago

Convert 5 over 8 to a decimal and tell whether it terminates or repeats.

AURORKA [14]

Answer: The answer is D. .625

Step-by-step explanation: It terminates, meaning that it doesn't repeat itself

7 0

3 years ago

Brandon rode in a taxi that charges a flat fee of $2.25 and an additional $0.40 per mile of his trip. If he paid $6.80 for the c

r-ruslan [8.4K]

Answer:

11 $\frac{3}{8}$ miles.

Step-by-step explanation:

To find how many miles Brandon rode, we can create an equation in slope-intercept form: y = mx + b

$2.25 is the flat fee, or the unchanging variable. This is our y-intercept, or b.

$0.40 is the changing variable, as it changes value depending on the amount of miles ridden. This is our slope, or m.

We know Brandon spent $6.80 on the cab ride. So, this is our y.

We get the equation: 6.80 = 0.40x + 2.25.

To solve, first subtract 2.25 from both sides of the equation:

6.80 - 2.25 = 0.40x + 2.25 - 2.25

We get: 4.55 = 0.40x

Now, just divide by 0.40 on both sides:

4.55 ÷ 0.40 = 0.40x ÷ 0.40

We get: 11.375 = x

So, Brandon rode for 11.375 miles. When converted to a mixed number, we get 11 $\frac{3}{8}$ .

<em>I would appreciate brainliest, if not that's ok!</em>

6 0

2 years ago

A treatment is administered to a sample of n = 9 individuals selected from a population with a mean of LaTeX: \muμ = 80 and a st

myrzilka [38]

Answer:

none of the above

Step-by-step explanation:

cohen's d= (Mean of population - mean of sample)/ standard deviation of population

0.5 = (80-mean of sample)/12

Mean of sample= 74

5 0

3 years ago