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Alex17521 [72]
2 years ago
12

This is a sample question for brainliest! Brainliest will be given to the user who accurately answers the question with the most

detail in a step-by-step explanation. NO guesswork, plagiarism, or links!!!
Simplify the following algebraic expression:


(6 x^{4} ) (4 y^{2} ) / [ (3x^{2} ) (16y)]
Mathematics
1 answer:
vlada-n [284]2 years ago
7 0

Well, we're just simplifying the fraction.

(2x^2)(y/4).

(2yx^2)/4.

When powers of the same base are being divided, subtract. The numbers are just plain fractions. 6/3 = 2 and 4/16 = 1/4. x^4/x^2 = x^2 and y^2/y = y.

Edit:

2/4 is 1/2.

(yx^2)/2.

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Write the equation of the ellipse with foci at (-2,2) and (4,2) and major axis of length 10 *
Luda [366]

Answer:

The answer to your question is   \frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1          

Step-by-step explanation:

Data

Foci  (-2, 2)  (4, 2)

Major axis = 10

Process

1.- Plot the foci to determine if the ellipse is vertical or horizontal. See the picture below.

From the graph we conclude that it is a horizontal ellipse.

2.- Determine the foci axis (distance between the foci)

                  2c = 6

                    c = 6/2

                    c = 3

3.- Determine a

                  2a = 10

                    a = 10/2

                    a = 5

4.- Determine b using the Pythagorean theorem

                   a² = b² + c²

-Solve for b

                   b² = a² - c²

                   b² = 5² - 3²

                   b² = 25 - 9

                   b² = 16

                   b = 4

5.- Find the center (1, 2)  From the graph, it is in the middle of the foci

6.- Find the equation of the ellipse

                      \frac{(x - 1)^{2}}{5^{2}} + \frac{(y - 2)^{2}}{4^{2}} = 1

                       \frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1                

3 0
3 years ago
F(x) =
slega [8]

Answer:

Step-by-step explanation:

the graph correspond to the function f :

6 0
3 years ago
1. Identify the place value for the following: 162.891
Advocard [28]

Answer:

Hundreds : 1

Tens : 6

Ones : 2

.

Tenths : 8

Hundredths : 9

Thousandths : 1

7 0
2 years ago
How to solve by factoring
aniked [119]
N^2-3n-4=0
(n-4)(n+1)

-4+1=-3
-4*1=-4

n-4=0
n=4

n+1=0
n=-1

Final answers: x=-1, x=4
3 0
3 years ago
HELP PLEASE I need to find out this answer
wlad13 [49]

Answer:

B

Step-by-step explanation:

The solution to the system is at the point of intersection of the 2 graphs.

The graphs intersect at 1 point

Then there is 1 real solution

5 0
2 years ago
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