Use the Distributive Property to simplify the expression.<br><br> 10(b−6) =

Radda [10]

Remark
The general equation for an ellipse is
$\frac{x^2}{a^2}+ \frac{y^2}{b^2}=1$

At the center, the the point is 0,27

Solving for the
$\frac{0}{a^2} + \frac{27^2}{b^2} = 1$
or b^2= 27^2 * 1
Taking the square root of both sides
b = 27

Now we need to use one more piece of information
The second point is (24,9) what that means is at the point x = 24, y = 9

Solving for that
$\frac{24^2}{a^2}+\frac{9^2}{27^2}=1$

576/a^2 + 81/729 = 1 Subtract 81/729 from both sides
576/a^2 = 1 - 81/729 = 576/a^2 = (729 - 81)/729 = 648 /729

576/a^2 = 648/729 Cross multiply

648 a^2 = 729 * 576 Divide by 648
a^2 = 648

Full equation for the ellipse and answer is

$\frac{x^2}{648}+ \frac{y^2}{729} = 1$

7 0

4 years ago

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Need help lol

GaryK [48]

We need to read the graph to see which are the two quantities related and how these are related.

The two quantities on the graph are:

Distance from Elena's house
Time.

Such that the <u>distance from Elena's house is a function of the time.</u>

<h3>How to read the graph?</h3>

We need to only read graph A, notice that she is coming back from school and going home, the graph starts at a high value and ends at zero. So we can assume that the vertical <u>zero represents her home.</u>

We know two events, first, she goes home and needs to come back to search for something, this is represented with the first "inverted peak" of graph A, then we have a constant line, that represents the time she is in the school looking something in her locker.

Then she goes home again, this time she finds a friend and goes to the library (this is why the line goes up again) and then she stops at the library for some time (this is why the line is horizontal for some time). Finally, she goes home, represented by the last segment of the line that intercepts the horizontal axis.

Then the two things represented in the graph are:

Distance from Elena's house (in the vertical axis) and time (in the horizontal axis).

This means that the <u>distance from Elena's house is a function of time.</u>

(The quantity in the vertical axis is a function of the quantity in the horizontal axis).

If you want to learn more about graphs, you can read:

brainly.com/question/4025726

4 0

3 years ago

Answer quickly please

Olin [163]

Answer:

Step-by-step explanation:

A. 3000/50 is 60

4 0

3 years ago

The diagonal of a rectangle is 25 in. The width is 15 in. What is the area of the rectangle

djyliett [7]

Here is your answer > >

Width of rectangle =15 inches

Length of rectangle =?

Diagonal of rectangle = 25 inches

We know that

(Diagonal of rectagle)^2=length^2+breadth^2

(25)^2=l^2+(15)^2

625=l^2+225

l^2=625-225

l^2=400

l=Root 400

l=20 inches

Hope it helps!

Thankyou ☆ ☆

Bebrainly

6 0

3 years ago

The least common multiple of the numbers 15, 12, 8

Ymorist [56]

Answer: LCM of 8, 12, and 15 is 120.

Step-by-step explanation:

I hope this helps!

6 0

3 years ago

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Use the Distributive Property to simplify the expression. 10(b−6) =