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wlad13 [49]
3 years ago
12

Use completing the square to solve for x in the equation (x minus 12) (x + 4) = 9. x = –1 or 15 x = 1 or 7 x = 4 plus-or-minus S

tartRoot 41 EndRoot x = 4 plus-or-minus StartRoot 73 EndRoot
Mathematics
2 answers:
Scrat [10]3 years ago
4 0

Answer:

x = 4 ± \sqrt{73}

Step-by-step explanation:

Given

(x - 12)(x + 4) = 9 ← expand the left side using FOIL

x² - 8x - 48 = 9 ( ad 48 to both sides )

x² - 8x = 57

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 57 + 16

(x - 4)² = 73 ( take the square root of both sides )

x - 4 = ± \sqrt{73} ( add 4 to both sides )

x = 4 ± \sqrt{73}

borishaifa [10]3 years ago
4 0

Answer:

EDGE2020 Option D :}

Step-by-step explanation:

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A square with sides of 3 squareroot 2 is inscribed in a circle. what is the area of one of the sectors formed by the radii to th
mrs_skeptik [129]
Drawing this square and then drawing in the four radii from the center of the cirble to each of the vertices of the square results in the construction of four triangular areas whose hypotenuse is 3 sqrt(2).  Draw this to verify this statement.  Note that the height of each such triangular area is (3 sqrt(2))/2.

So now we have the base and height of one of the triangular sections.

The area of a triangle is A = (1/2) (base) (height).  Subst. the values discussed above,   A = (1/2) (3 sqrt(2) ) (3/2) sqrt(2).  Show that this boils down to A = 9/2.

You could also use the fact that the area of a square is (length of one side)^2, and then take (1/4) of this area to obtain the area of ONE triangular section.   Doing the problem this way, we get (1/4) (3 sqrt(2) )^2.  Thus, 
A = (1/4) (9 * 2) = (9/2).  Same answer as before. 
4 0
3 years ago
01. En una piscigranja el 30% de boquichicos es el 20% del número de carachamas. Si sólo hay boquichicos y carachamas. ¿Qué porc
Simora [160]

Answer:

0.1. B) 50%

0.2 A) Psicología

Step-by-step explanation:

01. Dejemos que 'x' e 'y' representen el porcentaje de boquichicos y carachamas en la piscifactoría, tenemos;

Dado que el 30% de los boquichicos es el 20% del número de carachamas

30% x = 20% y

∴ 0.3 · x = 0.2 · y

Por lo tanto, tenemos;

x / y = 0,2 / 0,3 = 2/3

Por lo tanto, por cada 100% de pescado, tenemos;

x + y = 100%

x = 2/3 · y

2/3 · y + y = 100%

5 · años / 3 = 100

y = 100 × 3/5 = 60%

El porcentaje de carachamas en la finca, y = 60%

∴ x = 100% - y = 100% - 60% = 40%

El porcentaje de boquichicos en la finca, x = 40%

Por lo tanto, tenemos el 80% del pescado en la granja, obtenemos;

Si hay 100 peces en la granja, 80% = 80 peces

Pero el número de los 100 peces que son boquichicos en la granja = 40% × 100 = 40 peces

Por lo tanto, los boquichicos son la mitad del 80% del número de peces o el 50% de los peces en la piscifactoría.

La opción correcta es;

B) 50%

02. Tenemos;

El costo de un libro de psicología> El costo de un libro en inglés

El costo de un libro de matemáticas> El costo de un libro de historia

El costo de un libro de psicología> El costo de un libro de matemáticas

Por lo tanto, tenemos;

El costo de un libro de psicología> El costo de un libro de matemáticas> El costo de un libro de historia

∴ El libro de Psicología es más caro que todos los demás libros y, por tanto, es el libro más caro

La opción correcta es;

A) Psicología

3 0
2 years ago
Three times the difference of four times a number n and seven is no more than one
Sindrei [870]

Answer:

3x-4x7

Step-by-step explanation:

8 0
3 years ago
Goodmorning all help me guys​
kotegsom [21]

Answer:

Step-by-step explanation:

1) Distance covered by motorcycle = x

y  = 50 + (x -2)*10

2)Distance traveled = 5 km

y = 50 + ( 5-2) *10

  = 50 + 3*10

  = 50 + 30

  = 80

Seth will be paid Php 80

3)  y = 120

50 + (x - 2)* 10 = y

50 + (x -2) *10 = 120

50 + 10x - 2*10 = 120

50 + 10x - 20  = 120

30 + 10x = 120

       10x = 120 - 30

       10x = 90

           x = 90/10

x = 9

A passenger can travel 9 km.

4)y = (x - 2)*10

 y = 10x - 20

20 + y = 10x

     20 = 10x - y

10x - y = 20      {Ax + By = C form}

8 0
3 years ago
(3+7i)+(-5+2i)-(-7+6i)
anzhelika [568]
I believe that the answer to your question is 5 + 3 i?
5 0
3 years ago
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