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vlada-n [284]
3 years ago
6

When it is best to solve using factoring and the Zero Product Property. Include at least one example of an equation that you wou

ld use this method to solve.
Mathematics
1 answer:
Alecsey [184]3 years ago
7 0

Answer:

Step-by-step explanation:

hello :

here is two examples:

1) x²-9=0   means : x²-3² = (x-3)(x+3) = 0   .... use identity : a²-b² = (a-b(a+b)

use the Zero Product Property; x-3=0 or x+3=0  so : x=3 or x= +3

2) x²+4x = 0....using factoring : x(x+4)=0  means : x=0 or x+4=0

x=0 or x= - 4

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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
2 years ago
Luis wants to buy a skateboard that usually sells for $79.99. All merchandise is discounted by 12%. What is the total cost of th
DIA [1.3K]

Answer:  $75.14

Step-by-step explanation:

to find out how much luis is saving with the discount you do

79.99 * 0.12

and get around 9 ish dollars

after that you do sales tax and get $75.14 dollars hope this helped <3

3 0
3 years ago
Find the 20th term of this sequence. -2,4,-8,16
Ivenika [448]

Answer:

1,048,576

Step-by-step explanation:

You should multiply it with -2 20 times

8 0
3 years ago
PLEASE HELP! I ONLY HAVE 10 MINUTES LEFT!
Simora [160]

Answer:

Multiplacation

Step-by-step explanation:

It is the multiplacation roperty pbecauseyou are multipyling 10 times x and 3.

8 0
3 years ago
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vesna_86 [32]

Answer: it is c

Step-by-step explanation:

if it is leaking 3/4 in 1/2 h than it will leak 6/4 in one whole hour

3 0
2 years ago
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