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Klio2033 [76]
3 years ago
7

Start with x2 - 6x + 8 = 0 and complete the square, what is the equivalent equation?

Mathematics
1 answer:
Snezhnost [94]3 years ago
8 0
X is equivalent to 5.0
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Which ordered pair is a solution of the system of a linear equation below? Y= 1/4x +2 y= x-1
Tanya [424]

Answer:  x = 4, y = 3

<u>Step-by-step explanation:</u>

y=\dfrac{1}{4}x+2    and      y=x-1

Using substitution method we get:

x-1=\dfrac{1}{4}x+2\\\\\text{subtract}\ \dfrac{1}{4}x\ \text{from both sides}\rightarrow \dfrac{3}{4}x-1=2\\\\\text{add 1 to both sides}\rightarrow \dfrac{3}{4}x=3\\\\\text{multiply both sides by 4}\rightarrow 3x=12\\\\\text{divide both sides by 3}\rightarrow x=4\\\\\text{Insert x = 4 into one of the original equations to solve for y:}\\y=x-1\\y =(4)-1\\y=3

3 0
3 years ago
—5 + 3x + 2 = 12<br> Solve for x
klio [65]

Answer:

x=5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
1.Encuentra la ecuación de la circunferencia que tiene como ecuación ordinaria (x-4)² + (y+5)²= 25 2- encuentra la ecuación gene
rodikova [14]

Responder:

1) x² + y²-8x + 10y + 16 = 0

2) x² + y² + x + 18y + 33 = 0

Explicación paso a paso:

A partir de la pregunta, debemos expresar la ecuación en la forma estándar de un círculo expresado como;

x² + y² + 2gx + 2fy + c = 0 donde;

(-g, -f) es el centro.

1) Para la ecuación (x-4) ² + (y + 5) ² = 25

Expande el paréntesis;

(x-4) ² + (y + 5) ² = 25

x²-8x + 16 + y² + 10x + 25 = 25

x²-8x + 16 + y² + 10y + 25-25 = 0

Recopile términos similares;

x² + y²-8x + 10y + 16 + 0 = 0

<em>x² + y²-8x + 10y + 16 = 0 </em>

<em>Por lo tanto, la ecuación requerida es x² + y²-8x + 10y + 16 = 0 </em>

<em> </em>

2) Para la expresión (x + 1) ² + (y + 9) ² = 49

x² + x + 1 + y² + 18y + 81 = 49

x² + x + 1 + y² + 18y + 81-49 = 0

Recopile términos similares;

x² + y² + x + 18y + 82-49 = 0

<em>x² + y² + x + 18y + 33 = 0 </em>

<em>Por tanto, la ecuación requerida es x² + y² + x + 18y + 33 = 0</em>

4 0
2 years ago
Joana alugou um carro para fazer uma viagem de 36km sabendo q o carro percorre 12 km cm 1litro custa
saul85 [17]

Answer:

3 litros

Step-by-step explanation:

Joana alugou um carro para fazer uma viagem de 36km sabendo que o carro percorre 12 km cm 1 litro custa

Da pergunta:

12 km = 1 litro

36km = x

Cross Multiply.

12x = 36 × 1

x = 36/12

x = 3 litros

7 0
3 years ago
Suki makes and sells denim jackets in a small store at the mall. She has found that
Mrrafil [7]

Answer:

8

Step-by-step explanation:

96n = 520 + 31n

65n=520

n=8

Hope this helps :)

6 0
2 years ago
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