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Burka [1]
3 years ago
15

Solve for x

="6x - 2 = 4x + 13" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
solniwko [45]3 years ago
5 0

x = \frac{15}{2}

subtract 4x from both sides of the equation

6x - 4x - 2 = 13

2x - 2 = 13

add 2 to both sides

2x = 13 + 2 = 15

divide both sides by 2

x = \frac{15}{2}


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Find the center, vertices, and foci for the ellipse 25x^2 + 64y^2 = 1600
Alisiya [41]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Equation               25x² + 64y² = 1600

Process

1.- Divide all the equation by 1600

                             25x²/1600 + 64y²/ 1600 = 1600/1600

-Simplify

                              x²/64 + y²/ 25 = 1

2.- Equation of a horizontal ellipse

                             \frac{x^{2} }{a^{2}} + \frac{y^{2}}{b^{2}} = 1

3.- Find a, b and c

    a² = 64             a = 8

    b² = 25             b = 5

-Calculate c with the Pythagorean theorem

                   a² = b² + c²

-Solve for c

                   c² = a² - b²

-Substitution

                   c² = 8² - 5²

-Simplification

                  c² = 64 - 25

                  c² = 39

-Result

                  c = √13

4.- Find the center

          C = (0, 0)

5.- Find the vertices

          V1 = (-8, 0)     V2 = (8, 0)

6.- Find the foci

          F1 = (-√13, 0)   F2 = (√13, 0)

7 0
3 years ago
An arithmetic sequence who's first term is -10 and the common difference is -2.
True [87]
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2 years ago
According to the general equation for conditional probability,if p(a upside down u b)= 3/10 and p(b)=4/5 ,What is P(A|B)? A. 1/1
mash [69]
The correct answer for the question that is being presented above is this one: "A. (3/8)." According to the general equation for conditional probability if P(AupsidedownuB) = (3/10) and P(B)= (2/5), then P(A|B) is 3/8.Here are the following choices:A. (3/8)B. (1/2)C. (3/4)D. (1/16)

4 0
3 years ago
Read 2 more answers
Simplify each algebraic expression by combing like terms 7x^2-5x+10x-8x^2
castortr0y [4]

Answer: -x^2 + 15x

Step-by-step explanation:

8 0
3 years ago
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Answer:

The answer would be $2.

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3 years ago
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