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DaniilM [7]
3 years ago
10

Use completing the square to solve (x – 12)(x + 4) = 9 for x. x = –1 or 15 x = 1 or 7

Mathematics
2 answers:
4vir4ik [10]3 years ago
6 0
(x - 12)(x + 4) = 9
x² + 4x - 12x - 48 = 9
x² - 8x - 48 = 9    |add 48 to both sides
x² - 8x = 57
x² - 2x · 4 = 57    |add 4² to both sides
x² - 2x · 4 + 4² = 57 + 4²    |use (a - b)² = a² - 2ab + b²
(x - 4)² = 57 + 16
(x - 4)² = 73 ⇔ x - 4 = √73 or x - 4 = -√73    |add 4 to both sides

x = 4 + √73 or x = 4 - √73
zalisa [80]3 years ago
3 0

The answer is D. x=  4+/-\sqrt{73}

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Juan tiene 15 años más que Antonio. Dentro 10 años, la edad de Juan será el doble que la de Antonio¿ Cuantos años tienen los dos
adoni [48]
Antonio tiene 5 y Juan tiene 20
6 0
3 years ago
Juana compró una camioneta 4x4 a S/ 42 000; además, sabe que la camioneta se depreciará (bajará su precio) en forma lineal duran
prohojiy [21]

Answer:

Una relación lineal es de la forma:

y = a*x + b.

donde a es la pendiente y b es la ordenada al origen.

en este caso, y es el precio de la camioneta, x es el numero de años que pasaron, a es la razon de depreciación de la camioneta y b es el precio inicial de la camioneta, b = $42,000.

Sabemos que después de 5 años, el precio de la camioneta es 21,000, entonces podemos resolver:

$21,000 = a*5 + $42,000

a*5 = $21,000 - $42,000 = -$21,000

a = -$21,000/5 = -$4,200

Esto significa que el precio decae $4,200 por año

4 0
3 years ago
In the graph, what are the x and y coordinates of the center?
babunello [35]

Answer:

-1, 2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
the largest of these five squares has side length 27 units, and each additional square's side length is 2/3 as large as the one
RoseWind [281]

The total area is 1289.41 units².

The total perimeter is 281.32 units.

<h3>What is the total area and perimeter?</h3>

The first step is to determine the side lengths of the other squares:

  • Length of the second square = 2/3 x 27 = 18
  • Length of the third square = 2/3 x18 = 12
  • Length of the fourth square = 2/3 x 12 = 8
  • Length of the fifth square = 2/3 x 8 = 5.33

Area of a square = length²

Perimeter of a square = 4 x length

  • Area of the first square = 27² = 729
  • Area of the second square = 18² = 324
  • Area of the first square = 12² = 144
  • Area of the first square = 8² = 64
  • Area of the first square = 5.33² = 28.41

Total area = sum of the areas of the 5 squares = 1289.41 units²

  • Perimeter of the first square = 4 x 27 = 108 units
  • Perimeter of the second square = 4 x 18 = 72
  • Perimeter of the third square = 4 x 12 = 48
  • Perimeter of the fourth square = 4 x 8 = 32
  • Perimeter of the fifth square = 4 x 5.33 = 21.32

Total perimeter = 281.32 units

To learn how a square, please check: brainly.com/question/9030544

#SPJ1

4 0
2 years ago
Write the equation of the line parallel to y=3x-2 that passes through (3, 2) in point-slope form
AleksandrR [38]
Substitute the x and y values from (3,2).

Formula: y=mx+b

2= 3(3)+b
2-9= -7

y=3x-7
5 0
3 years ago
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