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Marizza181 [45]
3 years ago
7

How far apart are the foci of an ellipse with a major axis of 20 feet and a minor axis of 14 feet?

Mathematics
1 answer:
omeli [17]3 years ago
3 0
The solution for this question is simple. First we need to divide both numbers by 2 which will give us 10 and 7. This is the equation x^2/10^2 + y^2/7^2 = 1sqrt(100-49) = 7.14 (the answer do not have a perfect square root)
Foci are 14.28 units apart 
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When you receive a loan to make a purchase, you often must make a down payment in cash. The amount of the loan is the purchase c
emmainna [20.7K]
Summarizing the problem, there are three terms that you have to deal with: purchasing cost, down payment and loan. So, you would expect that the answer would contain these quantities. Among them, the unknown is the purchasing cost, therefore, we denote this as x. 

<span>Based on the statement, "The amount of the loan is the purchase cost minus the down payment", we can formulate an equation for this. 

Amount of Loan = x - Down payment

This will be our working equation. Moving on, the down payment was mentioned to be equal to </span>$1500. The lean received is equal to <span>$2600. Substituting these values to the working equation, we can now determine the value of x.

2600 = x - 1500

Solving for x by transposing it to one side,

x = 2600-1500
x = $1,100

Therefore, the purchasing cost of the car is $1,100.</span>
6 0
4 years ago
One tank is filling at at a rate of 3/4 gallon per 2/3 minutes. A second tank is filling at a rate of 5/8 gallon per 1/2 minutes
VMariaS [17]
3/4 times 3/2 (reciprocal of the second fraction) is 9/8 gallons per minute.
5/8 times 2/1 (reciprocal of the second fraction) is 10/8 gallons per minute

The second tank is filling faster.
8 0
3 years ago
Read 2 more answers
A cost regularly priced at $188 is on sale for 25% off . What is the sale price ?
Brums [2.3K]
You need to multiply 188 by 25%. But first convert 25% to a decimal 0.25.
188*0.25 is 47
Now we subtract 188 - 47
Which is 141
$141 is the sales price.
5 0
4 years ago
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Put Y=x^2+10x+18 in vertex form
nika2105 [10]

Answer:(-5,-7)

Step-by-step explanation:

Rewrite in Vertex form and use this form to find the vertex (h,k)

4 0
3 years ago
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An analysis of the decay of 10 grams of an unstable element over time was completed and is displayed in the computer output.
Lady bird [3.3K]

The equation of the least-squared regression line is: In(Element) = 2.305 - 0.101(Time).

<h3>What is a regression line?</h3>

A regression line displays the connection between scattered data points in any set. It shows the relation between the dependent y variable and independent x variables when there is a linear pattern.

According to the given problem,

From the table we can see,

ln(Element) is the dependent variable and Time is the independent variable.

The constant = 2.305,

Time = -0.101

Hence, we can conclude, our least squared regression line will be

In (Element) = 2.305 - 0.101 (Time).

Learn more about regression line here: brainly.com/question/7656407

#SPJ2

6 0
2 years ago
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