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Ivahew [28]
3 years ago
15

Solve the quadratic function by completing the square. What are the missing pieces in the steps?

Mathematics
1 answer:
Anna [14]3 years ago
7 0

Answer:

Step-by-step explanation:

-32 = 2(x² + 10x)

Complete the square

 coefficient of the x term: 10

 divide coefficient in half: 5

 square it: 5²

 use 5² to complete the square and keep the equation balanced:

-32+2·5² = 2(x² + 10x + 5²)

18 =2(x+5)²

9 = (x+5)²

x+5 = ±√9 = ±3

x = ±3 - 5 = -2, -8

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La suma de dos números es 81. La diferencia de los mismos dos números es 33. Escribe un sistema de ecuaciones para representar e
Alekssandra [29.7K]

Answer:

a) Escribe un sistema de ecuaciones para representar esta situación.

x + y = 81 ...... Ecuación 1

x - y = 33 ....... Ecuación 2

b) Los dos números son: 57 y 24

Step-by-step explanation:

Estamos tratando con 2 números

Dejar

El primer número = x

El segundo número = y

La suma de dos números es 81.

x + y = 81 ...... Ecuación 1

La diferencia de los mismos dos números es 33.

x - y = 33 ....... Ecuación 2

Escribe un sistema de ecuaciones para representar esta situación.

x + y = 81 ...... Ecuación 1

x - y = 33 ....... Ecuación 2

Resolvemos estas ecuaciones usando el método de eliminación

Restamos la ecuación 2 de la ecuación 1 para eliminar

2y = 48

y = 48/2

y = 24

Resolver para x usando la Ecuación 1

x + y = 81 ...... Ecuación 1

x + 24 = 81

x = 81 - 24

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7 0
3 years ago
Help will give braniest answer to person who is correct find the degree measure of each angle in the triangle
Irina-Kira [14]

Answer:

Angle I = 90 degrees

Angle J = 61 degrees

Angle K = 29 degrees

Step-by-step explanation:

Angle I is given

We know that the angles in all triangles add up to 180. Since we are given that angle I is equal to 90 degrees, we now know that angle J + angle K = 90 degrees:

(5x+26) + (2x+15) = 90

Solve for X:

7x + 41 = 90

7x = 49

x = 7

Angle J =  (5x + 26) = (5(7) + 26) = 61

Angle K = (2x + 15) = (2(7) + 15) = 29

Checking your work: 61 + 29 = 90

5 0
3 years ago
Read 2 more answers
48/3 to the simplest form is?
ohaa [14]
Find the Greatest Common Factor (GCF)
of 48 and 3

GCF = 3

We can reduce the fraction by dividing
the numerator and denominator by 3

<span><span>48 ÷ 33 ÷ 3</span>=<span>161
</span></span>
Dividing 16 by 1 we get

<span>=<span>16</span></span>
7 0
3 years ago
Read 2 more answers
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