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Komok [63]
3 years ago
12

What x value solves the equation? 3x - 5 = 1 x=

Mathematics
2 answers:
strojnjashka [21]3 years ago
8 0

Answer:

x = 2

Step-by-step explanation:

Step 1: Write equation

3x - 5 = 1

Step 2: Solve for <em>x</em>

  1. Add 5 to both sides: 3x = 6
  2. Divide both sides by 3: x = 2

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

3(2) - 5 = 1

6 - 5 = 1

1 = 1

deff fn [24]3 years ago
4 0

Answer:

x=2

Step-by-step explanation:

3x-5=1

add 5 to 1

3x=6

divide 3 by 6

x=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
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