MATHEMATICS HIGH SCHOOL

The equation of a circle is (x+10)^2+(y-4)^2=100 What is the center and radius of the circle.
1.) Center-10,4); Radius: 10
2.) Center: (-10,4); Radius: 10,000
3.) Center10,-4);Radius: 10
4.) Center10,-4);Radius: 10,000

Answers

Answer 1

Answer:

Answer:

Correct option is:

1.) Center: (-10,4); Radius: 10

Step-by-step explanation:

The equation of the circle centered at (a,b) and radius r is:

$(x-a)^2+(y-b)^2=r^2$

Here, we are given a equation:

$(x+10)^2+(y-4)^2=100$

On comparing this equation with the above equation, we get

a= -10

b=4

and r=10

Hence, Center of circle= (-10,4)

and Radius=10

Hence, Correct option is:

1.) Center: (-10,4); Radius: 10

Answer 2

Answer: Hello,

Answer 1
Center=(-10,4)
radius=10

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6x + 10 + 2x = 42Solve with variables

-3 (-4) ×
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The answer babesss!!!!!

Answers

Answer:

x = -(4/3)

Step-by-step explanation:

$-3 (-4) *1 = -16\n\n\mathrm{Divide\:both\:sides\:by\:}-3\left(-4\right)*\:1\n\n(-3\left(-4\right)x*\:1)/(-3\left(-4\right)*\:1)=(-16)/(-3\left(-4\right)*\:1)\n\nSimplify\n\nx=-(4)/(3)$

Solve 2x^2 = 72.
Question 1 options:
{±18}
{±36}
{±6}
{±8}

Answers

all you do is have to plug each option in for x
2*18^2=684
2*36^2=2592
2*6^2=72
2*8^2=128
So it's C.6

You divide both sides by 2 to get X^2=36. You then square root both sides to get X=6. The answer is d.6.

What is the constant of proportionality?

Answers

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

Step-by-step explanation:

Here it is.

Constant of proportionality = 4

Jackyn thinks that negative 1/2 is greater than 1/4 because it is farther from zero on the number line. Is her thinking correct ? Explain

Answers

I think Jackyn is correct because 1/2 is half, which means it is .50. So 1/4 would be much smaller than .50 except if it was 2/4. The bigger the number is in negative, the smaller the number.

Maria needs 3.87 feet of string to use as a border for her poster. Maria finds two pieces of string one that is 2.5 feet long and another that is 1.75 feet long.How do you calculate the amount of string Maria will have leftover after making the border to her poster?

Answers

Answer:x = 4.25 - 3.87 x = 0.38 feet

Step-by-step explanation::Find out the how much string will Mellisa have left over .To proveLet us assume that the string will Mellisa have left over be x .As givenMelissa needs 3.87 feet of string to use as a border for her poster.Melissa finds a piece of string that is 4.25 feet long.Than the equation is write in the form. Therefore the string will Mellisa have left over be 0.38 feet .

5.- Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. ¿Qué fracción de bombones se comieron entre las dos?. Si quedaron 12 bombones, ¿cuántos bombones tenía la caja? (Solución)

Answers

Answer:

La fracción de bombones que se comieron entre los dos es $(7)/(10)$

La caja tenía 40 bombones.

Step-by-step explanation:

Sabes que Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. Para conocer la fracción de bombones que se comieron entre ambos, debes sumar las fracciones que comieron cada uno:

$(1)/(5) +(1)/(2)$

Para hacer suma de fracciones con distinto denominador, lo primero que hay que hacer es determinar un denominador común. Para eso debes calcular el mínimo común múltiplo (mcm) entre los denominadores.

En este caso, el mcm entre 5 y 2 es 10.

Ahora tienes que multiplicar cada numerador por el número que hayas multiplicado el denominador. Para ello, dividís el m.c.m entre el denominador inicial y el resultado se multiplica por el numerador de esa fracción:

10÷5= 2 ⇒ 2*1= 2 Por lo tanto, 2 es el numerador de la primera fracción.
10÷2= 5 ⇒ 5*1= 5 Por lo tanto, 5 es el numerador de la segunda fracción.

Entonces:

$(1)/(5) +(1)/(2)=(2)/(10) +(5)/(10)$

Ahora simplemente sumas los denominadores:

$(1)/(5) +(1)/(2)=(2)/(10) +(5)/(10)=(7)/(10)$

La fracción de bombones que se comieron entre los dos es $(7)/(10)$

Sabes que quedaron 12 bombones en la caja. Representando 1 la cantidad total de bombones, y si se comieron 7/10 de la caja, entonces quedaron:

$1-(7)/(10)$

Restando de manera similar al procedimiento usado para la suma se obtiene:

$1-(7)/(10)=(3)/(10)$

Finalmente podes aplicar la siguiente regla de tres: si 3/10 representa los 12 bombones que quedaron en la caja, entonces en 1 (que representa la cantidad total de bombones) cuantos bombones hay?

$cantidad total de bombones=(1*12)/((3)/(10) )$