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3 years ago

HELP! WILL GIVE BRAINLIEST!! EASY! GIVE LONG DETAILED ANSWER!

Mathematics

1 answer:

OLEGan [10]3 years ago

6 0

Answer:

x² + 2x + y² + 4y = 20

(x² + 2x + 1) - 1 + (y² + 4y + 4) - 4 = 20

(x + 2)² + (y + 4)² - 5 = 20

(x + 2)² + (y + 4)² = 25

Therefore, the center is (-2, -4) and the radius is √25 = 5.

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Jody practiced a piano piece for 500 seconds bill practiced a piano piece for 8 minutes who practiced longer explain

Mrac [35]

Answer:

Jody

Step-by-step explanation:

You can either convert 500 seconds to minutes or 8 minutes to seconds to compare. I'll do both.

There is 60 seconds in a minute. To find the total minutes of 500 seconds, divide 500 by 60 → 8.3, which means that Jody practiced for 8.3 minutes.

To find the total seconds of 8 minutes, multiply 60 seconds per minute by 8 minutes → 60 * 8 = 480 seconds which means that Bill practiced for 480 seconds.

Now you can compare. Jody practiced for 500 seconds, or 8.3 minutes. Bill practiced for 480 seconds, or 8 minutes. Jody practiced longer.

7 0

3 years ago

Una recta con pendiente -2 ´pasa por el punto P(5, -1). La abscisa del punto Q que está en esa recta es 1. Encuentre la ordenada

oksian1 [2.3K]

Answer:

La ordenada de Q es 7.

Step-by-step explanation:

La ecuación de una recta es:

y = a*x + b

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

Para este problema, sabemos que la pendiente es -2

Entonces:

a = -2

y = -2*x + b

También sabemos que esta recta pasa por el punto (5, -1)

Esto significa que cuando evaluamos la ecuación en x = 5, y toma el valor y = -1

Si reemplazamos esos valores en la ecuación, obtenemos:

-1 = -2*5 + b

-1 = -10 + b

-1 + 10 = b

9 = b

Entonces la ecuación de la recta es:

y = -2*x + 9

Sabemos que el punto Q está en la línea, y la abscisa de este punto es 1.

Entonces este punto es Q (1, k)

donde k es la ordenada de este punto.

Porque nuestra línea también pasa por este punto, podemos concluir que cuando x = 1, y = k

Reemplazando eso en la ecuación tenemos:

k = -2*1 + 9 = -2 + 9 = 7

k = 7

La ordenada de Q es 7.

7 0

3 years ago

What is the cost of operating a 3.00-w electric clock for a year if the cost of electricity is $0.0900 per kw · h ?

brilliants [131]

We must take into account the following change of units:
$1kw = 1000w

1 year = 365 days

1 day = 24 hours$
Applying the change of units we have that the electric consumption for 1 year is given by:
$(3) * (1/1000) * (365) * (24) = 26.28 kw * h
$
Then, the total cost is given by:
$(26.28) * (0.0900) = 2.3652
$
Answer:
the cost of operating a 3.00-w electric clock for a year is:
$ 2.3652

8 0

3 years ago

A Bank offers an annual simple interest rate of 8% on home improvement loans. Tobias borrowed $17,000 over a period of 2 years.

Alex17521 [72]

We first find out the amount in dollars of interest accrued after 2 years time.

Interest = Prt

where P is the principal, r is the rate and t is time

8% written in decimal fraction → 8/100 → 0.08

Interest = 17000 × 8% × 2

Interest = 1700 × 0.08 × 2

Interest = 2,720 dollars

We add the principal and the interest to get full amount paid, so:

17000 + 2,720 = 19,720

I hope that you good day

6 0

3 years ago

What is the rule when multiplying or dividing by a negative number to solve inequalities?

Alika [10]

You flip the inequality.
Example: if x > -y and you divide both sides by (-1) then you flip the inequality so: -x < y

4 0

3 years ago

Read 2 more answers