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lesantik [10]
3 years ago
13

Determine the solution to the system of equations:

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
6 0
  x - 3y = 1   ⇒ 3x - 9y = 3
3x - 5y = 11 ⇒ 3x + 5y = 11
                             -14y = -8
                              -14    -14
                                   y = ⁴/₇
                            x - 3y = 1
                           ⁴/₇ - 3y = 1
                         - ⁴/₇        - ⁴/₇
                                -3y = ³/₇
                                 -3     -3
                                   y = ⁻¹/₇
                             (x, y) = (⁴/₇, ⁻¹/₇)
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Use the table to solve the inequality x−5≥7.
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Answer: x \geq 12

Step-by-step explanation:

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How do you write 0.0036 in scientific notation
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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
Simple geometry please help<br><br> Find KL. Round to the nearest hundredth.
vivado [14]

Answer:

KL ≈ 1.94

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos48° = \frac{adjacent}{hypotenuse} = \frac{JL}{KL} = \frac{1.3}{KL} ( multiply both sides by KL )

KL × cos48° = 1.3 ( divide both sides by cos48° )

KL = \frac{1.3}{cos48} ≈ 1.94 ( to the nearest hundredth )

6 0
3 years ago
GUYS HELP please i dont know what to answer
grandymaker [24]

Answer:

2nd one : y = -4/x

3rd one : y + x/2 = 9

4th one

5th one : y = x^2

6th : 5.8x - y = 2.3

Step-by-step explanation:

Not sure about these. You might want to wait for another person to answer

Have a nice day!

7 0
3 years ago
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