Identify the center and radius of the circle (x – 5)^2 + (y+1)^2 = 4.
²
O A. Center: (5,-1), r= 4
O B. Center: (-5,1), r = 4
C. Center: (5, -1), r= 2
O D. Center: (-5,1),r= 2

Answer:

Statement 1 is true; Statement 2 is false.

Step-by-step explanation:

Statement 1:

√12 - √8 = a

Let's use the given value of √12 + √8 ,that is, 4/ a.

If we multiply both the expressions such that their Left Hand Sides get multiplies together and Right Hand Sides together:

=> (√12- √8)(√12 + √8) = a × 4/a

On the LHS,

identity used:

(a-b)(a+b) = a²-b²

On the RHS:

a gets canceled due to its presence in both the numerator as well as the denominator.

=> 12 - 8 = 4

=> 4 = 4

That's it!

We got LHS = RHS, that approves the existence of the given statement.

___________________

Statement 2:

"a + √b is called the rationalizing factor of c + √d if their product is 1"

That's not entirely right!

The correct statement would be:

" a + √b is called the rationalizing factor of c + √d if their product is a rational number ."

Since, rationalizing has got nothing to do with 1, (1 is just another rational number), even if we get 2 by their multiplication, it will be called rationalizing as long as we're getting a rational number.

___________________

Answer:

Hence, I'd say:

Statement 1 is correct but Statement 2 isn't.

That's the third option.

Answer:

Step-by-step explanation:

Conclusion:

Therefore, x = -3

Hoped this helped.

[tex]GeniusUser[/tex]

Archduke Ferdinand is killed. During the conflict, Germany, Austria-Hungary, Bulgaria and the Ottoman Empire (the Central Powers) fought against Great Britain, France, Russia, Italy, Romania, Japan and the United States (the Allied Powers). In the end after 4 years the Allied Powers won. 16 million people were killed. Germany was put to account for everything in the Treaty of Versailles.

Hope that helps

Answer:

y = -5/6x + 6

Step-by-step explanation:

Since we have 2 points, (6,0) and (6,1), we can calculate for the slope by using the formula

Slope = m = (y2 - y1)/(x2-x1) = (1-6)/(6-0) = -5/6

Then plug in m, x(from one of the point), and y(from one of the point) to the equation y = mx + b which get us 0 = -5/6*6+b if we use the point (6,0). Now we'll get b = 6. And then plug in -5/6 for m and 6 for b into the equation y = mx + b we'll get y = -5/6x + 6

Based on the information given, it can be noted that the air speed that the plane has will be 71.1 km per hour.

The number of hours used for the return trip will be:

= 2 hours - 24 minutes.

= 1 hour 36 minutes.

= 1.6 hours.

Therefore, the speed of the air plane will be:

= (128 + 128) / (2 + 1.6)

= 256/3.6.

= 71.1 km per hour.

Learn more about speed on:

https://brainly.com/question/25860159

Answer:

8/5

Step-by-step explanation:

You can rewrite the equation to 2/5 * 12/3

Which is equal to 2/5*4

So 2 times 4 is 8

So the answer is 8/5

Hope this helps!

Answer:

Step-by-step explanation:

Answer: There are no solutions

Answer:

Two

Step-by-step explanation:

x^2 = 4x - 5 is equivalent to x^2 - 4x + 5 = 0 in standard quadratic form.

All quadratics have exactly two roots/solutions.

In this case the coefficients of the polynomial are 1, -4 and 5, and so the discriminant is b^2 - 4ac, or (-4)^2 - 4(1)(5), or 16 - 20 = -4.

Since the discriminant is negative, we conclude that this polynomial has two complex roots/solutions.

First rearrange

5x-8y=-29

5x+29=8y

5/8x+29/8=y

Then sub in your x values

Step-by-step explanation:

5x-8y=-29

5(6)-8(5)

30-40

=-10

no

5(-9)-8(-2)

=-45+16

=-29

yes

5(-3)-8(1)

-15-8

=-23

no

5(0)-8(-4)

=0+32

=32

no

Answer:

  -293

Step-by-step explanation:

The first term of the arithmetic sequence is a1 = 2. The common difference is d = -3-2 = -5. The general term is ...

  an = a1 +d(n -1)

  an = 2 -5(n -1)

The 60th term is ...

  a60 = 2 -5(60 -1) = -293

Answer:

7/24

Step-by-step explanation:

Hope this helps

Answer:

1/6

Step-by-step explanation:

Decimal Form 0.16

Answer:

3 hours 38 minutes is what calculators online say

Step-by-step explanation:

Answer:

 6 pears

Step-by-step explanation:

The difference in the number of ratio units is 5-3 = 2. This corresponds to an original difference of 2+2 = 4, so each ratio unit represents 2 pieces of fruit.

The original ratio is ...

  6 pears : 10 apples

There were 6 pears in the basket.

Hi,

x² + 8x + 12 = 0

a= 1 ; b= 8 c= 12

∆ = b² - 4ac

∆ = 8² - 4*1*12

∆ = 64 - 4*12

∆ = 64 - 48

∆ = 16

∆>0 :

x1 = (-b-√∆)/2a = (-8-4)/2 = -12/2 = -6

x2 = (-b+√∆)/2a = (-8+4)/2 = -4/2 = -2

S= { -6 ; -2 }

x = -6

or x = -2

✅(•‿•)

Answer:

Step-by-step explanation:

x² + 8x + 12 = 0

➺ x² + 2x + 6x = 0

➺ x(x + 2) + 6(x + 2) =0

➺ (x + 6)(x + 2) = 0

Whether, x + 6 = 0

⠀⠀⠀⠀⠀➺ x = -6

⠀⠀or,⠀⠀⠀⠀ x + 2 = 0

⠀⠀⠀⠀⠀⠀➺ x = -2

Answer:

eight thousand twenty four sixty two hundreths

Step-by-step explanation:

you can replace the decimal pint with an and so that its

eight thousand twenty four and sixty two hundreths

Answer: eight thousand twenty-four and sixty-two hundredths

Step-by-step explanation:

Answer: C. linear

Step-by-step explanation:

Since the raise is going to be a constant amount, a 4% raise, the model will be linear.

Correct me if I am incorrect.

Step-by-step explanation:

a ticket for 3 days cost = 35968

cost of 1 ticket = 35967÷3= 11989.33

therefore, 500 tickets cost= 500 x 11989.33

= 5994666.666, approximately 5994667

Step-by-step explanation:

I do not understand .____.

Answer:

m=4

Step-by-step explanation:

Answer:

The answer would be 4. It may seem like a lot of steps but its a lot easier then you think haha

Step-by-step explanation:

13-5 = 2m + 5 - 5  (Subtract 5 from both sides of the equation)  

8 = 2m (Simplify)

8/2  = 2m/2 ( Divide both sides of the equation by the same term)

m= 4  (Solution)

Answer:

2/1=2

Step-by-step explanation:

y=mx+b= 2

3-1=2

-3-(-4)=1

2/1=2

Answer:

m = 2 and b = 9

Step-by-step explanation:

i think yes, bc the equation is y = 2x + 9

60% of the seats on the train are empty

you have to divide 900 by 9 to get 100 because percents are out of 100, then you have to divide 540 by 9 also.

Answer:

60%

Step-by-step explanation:

Because there are 540 empty, and 900 total, you need to divide 540 by 900.

540/900=54/90=6/10=60/100

When you get 60/100, or 0.6, you know that it is 60 percent because percent is out of 100.

Answer:

d

Step-by-step explanation:

the answer is d because 2×3 equal 6

[tex]\\ \sf\Rrightarrow a*b=ab^2[/tex]

[tex]\\ \sf\Rrightarrow 2*3[/tex]

[tex]\\ \sf\Rrightarrow 2(3)^2[/tex]

[tex]\\ \sf\Rrightarrow 2(9)[/tex]

[tex]\\ \sf\Rrightarrow 18[/tex]

Answer:

To be able to find what a variable equals, it has to be the only variable in the equation. Having an equation where a variable is opposite of another equation allows you to find the value of the other variable.

Step-by-step explanation:

11 ft

since diameter is HALF of circumference

22 divided by 2 = 11

Answer: 5-tenths= 5/10

Step-by-step explanation:

Es probable que el número de personas a las que si les gusta comer huevo al desayuno todos los días sea 90 personas.

Según principios estadísticos, es posible determinar una tendencia general utilizando una muestra de la población. En otras palabras, es posible tener una idea aproximada de las preferencias de una población si se logran determinar las preferencias de un pequeño grupo de dicha población.

En este caso sabemos que la población total equivale a 3120 habitantes, la muestra equivale a 620 personas y en la muestra 18 personas comen huevo al desayuno todos los días.

Usando una regla de tres podemos determinar la tendencia general:

Es decir que aproximadamente 90 personas tienen esta misma preferencia.

Aprenda más de estadística en: https://brainly.com/question/10678542

[tex]8 = \dfrac{3+2x}{4+x}\\\\\implies 8(4+x) = \dfrac{3+2x}{4+x} \cdot (4+x)\\\\\implies 8\cdot (4+x) = 3+2x\\\\\text{Hence the answer is A.}[/tex]

Answer:

A

Step-by-step explanation:

8=3+2x/4+x

8/1= 3+2x/4+x then crisscross both sides without multiplying

8×(4+x)=3+2x

I hope it helped

Answer:

19,250 I think.

Step-by-step explanation:

2,750 x 7 19,250