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2 years ago

5: will give brainliest

Mathematics

1 answer:

Fiesta28 [93]2 years ago

6 0

The focal length of the given ellipse is given as (±6, 0)

<h3>Equation of an ellipse</h3>

An ellipse is defined as a regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant or when a cone is cut by an oblique plane which does not intersect the base.

The standard equation of an ellipse is expressed as;

x^2/a^2 + y^2/b^2 = 1

The formula for calculating the focus of the ellipse is given as:

c^2 = b^2 - a^2

Given the equation of an ellipse

(x-7)^2/64 + (y-5)^2/100 = 1

This can also be expressed as:

(x-7)^2/8^2 + (y-5)^2/10^2 = 1

Comparing with the general equation

a = 8 and b = 10

Substitute

c^2 = 10^2 - 8^2

c^2 = 100 - 64

c^2 = 36

c = 6

Hence the focal length of the given ellipse is given as (±6, 0)

Learn more on focus of ellipse here; brainly.com/question/4429071

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GUYS IM GONNA CRY BECAUSE I SUCK AT ANSWERING WORD PROBLEMS SO PLS HELP ME I'll give u brainliest a thanks and 5 starss, Sorry t

Dmitrij [34]

Vas happenin!!

The last option is correct… She flipped the Y values and the X values it would be 4-12÷9-7

Hope this helps

-Zayn Malik

4 0

2 years ago

To two decimal places, find the value of k that will make the function f(x) continuous everywhere. f of x equals the quantity 3x

Fiesta28 [93]

Given function is

$f(x)=\left\{\begin{matrix}3x+k & x\leq -4 \\ kx^2-5 & x> -4\end{matrix}\right.$

now we need to find the value of k such that function f(x) continuous everywhere.

We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.

So we just need to find both left and right hand limits then set equal to each other to find the value of k

To find the left hand limit (LHD) we plug x=-4 into 3x+k

so LHD= 3(-4)+k

To find the Right hand limit (RHD) we plug x=-4 into

$kx^2-5$

so RHD= $k(-4)^2-5$

Now set both equal

$k(-4)^2-5=3(-4)+k$

$16k-5=-12+k$

$16k-k=-12+5$

$15k=-7$

$k=-\frac{7}{15}$

k=-0.47

<u>Hence final answer is -0.47.</u>

7 0

3 years ago

Mr. Carson wants to give three pencils to each of his students. There are 26 students in Mr. Carsons class. Boxes of pencils eac

Rasek [7]

Since there are 26 students in Mr. Carson's class, and each kid gets 3 pencils, that means we will multiply 26 and 3, in which we get 78. Now, since boxes of pencils only contain a dozen, which is 12 pencils, we will divide 78 by twelve, in which we get 6.5 boxes. You can't buy half a box, so he will need 7 boxes, since having 6 boxes means that you don't have enough pencils.

Hope this helps!

3 0

3 years ago

Read 2 more answers

Easy 20 points please tell me if I got it right and if not please tell me the right answer

mash [69]

Answer:

No, you are not correct.

It should look like this:

Prefer colorful decorations Prefer neutral decorations

Pay attention 20 25

to fashion

Do not pay

attention to 72 33

fashion

Step-by-step explanation:

33 is 22% of 150. In the question it states that 70% of people do not pay attention to fashion. We need to find the other 48% here. In order to do that we multiply .48 by 150. That gets us 72. To check that answer you can add both 72 and 33 and then divide by 150, which gets 70%.

To get the amount of people that prefer neutral decorations and pay attention to fashion we need to add up 20 + 72 + 33 and that equals 125. Next, we take 150 and minus 125 of it to get 25.

<em>Hope this helps!!</em>

3 0

2 years ago

A line goes through the point (-8,9), and has a slope of 3/4

olya-2409 [2.1K]

Answer:

$y=\dfrac{3}{4}x+15$

Step-by-step explanation:

Given that,

A line goes through the point (-8,9), and has a slope of 3/4.

We need to express in the form of Ax+B for this line.

We have, m = 3/4

So,

$y=\dfrac{3}{4}x+B$

Put y = 9 and x = -8 in the above equation.

$9=\dfrac{3}{4}(-8)+B\\\\9=-6+B\\\\9+6=B\\\\B=15$

So,

$y=\dfrac{3}{4}x+15$

It is the required equation of the line.

6 0

3 years ago