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larisa86 [58]
3 years ago
10

Point (8, 11); Slope =-1/4

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
7 0

Answer:

Step-by-step explanation:

Point (8, 11); Slope =-1/4

y - y₁ = m(x - x₁)

y - 11 = (-1/4 ) (x - 8)

4 * (y -11) = -1 * (x -8)

4y - 44 = -x + 8

x - 8 + 4y - 44 = 0

x + 4y -52 = 0

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1,650 is the answer to your question
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12 is _% of 200 fill in the blank
Andrei [34K]
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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
A circle with a diameter of 25 inches
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Vera_Pavlovna [14]
Little late, but your answer would be 133 pieces of candy corn. 

Best of luck.
4 0
3 years ago
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