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ladessa [460]
3 years ago
11

Solve by using the perfect squares method.

Mathematics
2 answers:
Verizon [17]3 years ago
4 0
X²+16x+64=(x+8)² (because (a+b)²=a²+2ab+b² => perfect square)
So you have to find x which will make (x+8)²=0
which is true when x+8=0
x=-8 
That's a.
Hope it helps!
Julli [10]3 years ago
3 0
X² + 16x + 64 = 0
x² + 2 * x * 8 + 8² = 0

Now, sing the formula (a + b)² = a² + 2ab + b² , we get,

(x + 8)² = 0

Square rooting on both sides, we get,

x + 8 = √0

x + 8 = 0

x = - 8    <== that's your answer!!!

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At 8:00 A.M., Jackie starts at the north end of a 10-mile trail and begins walking south at an average speed of 2 mph. After a w
Tcecarenko [31]

Answer:

  • 3.08 miles

Step-by-step explanation:

  • Total distance = 10 miles
  • Total time = 2 hours
  • Distance walked = x
  • Speed walked = 2 mph
  • Distance cycled = 10 - x
  • Speed cycled = 15 mph

<u>Using the given data we can have the equation below to the time:</u>

  • x/2 + (10 - x)/15 = 2
  • 30x/2 + 30(10 - x)/15 = 30(2)
  • 15x + 20 - 2x = 60
  • 13x = 60 - 20
  • 13x = 40
  • x = 40/13
  • x = 3.08 miles <em>rounded to 2 decimal places</em>
7 0
2 years ago
Graph the line y=-5/3x-1
Pepsi [2]

Answer:

Put a dot on -1. Go down 5 and then 3 to the right. You will have two points which is enough to make a line. Grab a ruler and connect both of them. You have the line y=-5/3x-1 graphed


Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
Si el máximo común divisor (MCD) de 6432 y 132 disminuye en 8, entonces será igual a: * 1 punto 6 4 -2 -6
swat32

Answer:

4

Step-by-step explanation:

Para empezar el maximo común divisor (MCD) de dos números se refiere al número en común que tienen ambos números, entre los cuales pueden ser divididos. En el caso del máximo se refiere al número más alto posible en que ambos números pueden ser divididos.

Para poder saber esto, es necesario anotar los factores en los cuales pueden ser divididos ambos números. Sin embargo, ya que son cantidades altas, puede tomar mucho tiempo determinar esto, por lo tanto nos vamos a la respuesta final.

Sabemos que el MCD de 132 y 6432 es disminuido en 8 unidades, es decir, se le resta 8 al MCD de esos números, y ese número debe coincidir con alguna de las opciones puesta ahí. Por lo tanto, lo que vamos a hacer para resolverlo rápidamente es sumarle 8 a cada una de las opciones y luego, verificaremos si el número obtenido es divisor de 132 y 6432.

<u>Obtención del MCD original:</u>

a) 6 + 8 = 14

b) 4 + 8 = 12

c) 2 + 8 = 6

d) 6 + 8 = 2

Con estos resultados, veamos cual de ellos es el MCD de 132 y 6432.

<u>Para el 6432:</u>

6432 / 2 = 3216

6432 / 6 = 1072

6432 / 12 = 536

6432 / 14 = 459,24

Podemos observar con estos resultados que el 14 queda descartado al tener un resultado decimal, por lo tanto debe ser 2, 6 o 12. Veamos la cuenta con el 132:

<u>Para el 132:</u>

132 / 2 = 66

132 / 6 = 22

132 / 12 = 11

Podemos observar ahora en este caso que el 132 es divisible entre 12, por lo tanto, es el MCD entre 132 y 6432, asi que se concluye que el resultado de disminuir por 8 el MCD de ambos números es:

<h2>12 - 8 = 4</h2>

Exitos

8 0
3 years ago
7 x 3/4
Mkey [24]

7 3/4

Step 1: Multiply 7 and 4.

            7 x 4=28

Step 2:Add 3 to their product.

         28+3=31

Step 3:The number so obtained is the numerator and the denominator remains the same.

Answer: 31/4

I think that is what you are looking for!

Hope that helps!!!

7 0
3 years ago
?????????????????????????
Monica [59]

Answer:

Interest earned = $32.835

Step-by-step explanation:

Given the following data;

Principal = $275

Number of times = 0.5

Interest rate = 2.9% = 0.029

Time = 4 years

To find the interest earned, we would use the compound interest formula;

A = P(1 + \frac{r}{n})^{nt}

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

A = 275(1 + \frac{0.029}{0.5})^{0.5*4}

A = 275(1 + 0.058)^{2}

A = 275(1.058)^{2}

A = 275(1.1194)

A = $307.835

Interest earned = 307.835 - 275

Interest earned = $32.835

5 0
3 years ago
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