Which of the following is the quotient of the rational expressions shown below?

Answer:

5π/6 to the right

π/6 to the right

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

12 + 6 + 2

20

[tex]\frac{6}{20}= \frac{6/2}{20/2}=\frac{3}{10}[/tex]

Answer:

[tex]\text{B. }3x+4=3x+2\sqrt{3x-11}-10[/tex] only for [tex]3x+4\in [0, \infty)[/tex]

Step-by-step explanation:

Key formulas used:

Given [tex]\sqrt{3x+4}=1+\sqrt{3x-11}[/tex],

We can use the first formula on the left side of the equation.

In this case, for [tex]\sqrt{x}^2=|x|[/tex], [tex]x=3x+4[/tex], we have:

[tex]\sqrt{3x+4}^2=|3x+4|[/tex]

Similarly, we can use the second formula on the right side of the equation.

In this case, for [tex](a+b)^2=a^2+2ab+c^2[/tex], [tex]a=1, b=\sqrt{3x-11}[/tex], we have:

[tex](1+\sqrt{3x-11})^2=1^2+2\cdot 1\cdot \sqrt{3x-11}+\sqrt{3x-11}^2,\\=1+2\sqrt{3x-11}+3x-11,\\=3x+2\sqrt{3x-11}-10[/tex]

Therefore, when you square both sides of the equation, you get:

[tex]\boxed{\text{B. }3x+4=3x+2\sqrt{3x-11}-10}[/tex]

*Important:

This answer choice is actually only correct if [tex]3x+4>0[/tex], because of the first formula we used. If [tex]3x+4<0[/tex] (negative), then [tex]3x+4\neq \sqrt{3x+4}^2,\text{ if }3x-4<0[/tex]. Graphically, you can show this since the line [tex]y=\sqrt{x}^2[/tex] is not equal to [tex]y=x[/tex] but instead [tex]y=|x|[/tex]. [tex]y=\sqrt{x^2}[/tex] and [tex]y=x[/tex] only overlap if you restrict the domain to [tex][0, \infty)[/tex] (positive numbers), hence [tex]\text{B. }3x+4=3x+2\sqrt{3x-11}-10[/tex] only for [tex]3x+4\in [0, \infty)[/tex].

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]x = 1[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\3x+9=12\\--------\\\rightarrow 3x + 9 -9 = 12 - 9\\\\\rightarrow 3x = 3\\\\\rightarrow \frac{3x=3}{3}\\\\\rightarrow \boxed{x=1}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x = 1

Step-by-step explanation:

(x + a = b

 x = b - a)

    or

(x + a = b

x + a - a = b - a     [subtract both sides by a ]

 x + 0 = b - a                [ - a + a = 0 ]

  x = b - a )

[tex]3x + 9 = 12\\3x + 9 - 9 = 12 - 9\\3x + 0 = 3\\3x = 3\\\\\frac{3x}{3} = \frac{3}{3}\\\\x = 1[/tex]

Answer:

40/100 = .4 = 40%

Step-by-step explanation:

Answers:

================================================

Explanation:

Let x be some positive real number

The 4:3 aspect ratio means the width (horizontal) portion of the tv is 4x inches while the height (vertical) portion is 3x inches

The ratio 4x:3x reduces to 4:3 after dividing both parts by x.

The 4x by 3x rectangle has the diagonal 32 inches as the instructions state. The tv size is always measured along the diagonal.

So effectively, we have two identical right triangles with legs 4x and 3x, and hypotenuse 32.

Apply the pythagorean theorem to find x

a^2+b^2 = c^2

(4x)^2+(3x)^2 = 32^2

16x^2+9x^2 = 1024

25x^2 = 1024

x^2 = 1024/25

x = sqrt(1024/25)

x = 32/5

x = 6.4

Recall that x is positive, so we ignore the negative square root here.

This 4x by 3x tv then has dimensions of

These values are exact.

The area is therefore base*height = 25.6*19.2 = 491.52 square inches

This of course only applies to the 4:3 tv that's 32 inches in diagonal.

-------------------------------

Now onto the 16:9 tv.

We'll follow the same steps as the last section. We'll use y this time

The 16:9 ratio becomes 16y:9y

a^2+b^2 = c^2

(16y)^2 + (9y)^2 = 32^2

256y^2 + 81y^2 = 1024

337y^2 = 1024

y^2 = 1024/337

y = sqrt(1024/337)

y = 1.7431510742491 which is approximate

y = 1.74315

So,

the area is approximate since the width and height are approximate. It rounds to about 437.55 square inches

-------------------------------

To recap, we found the following:

Answer: Spontaneous recovery likely occurred, and the dog salivated in response to the triangle

Step-by-step explanation:

Spontaneous recovery is the reappearance of the conditioned response when a rest period has taken place or when there's a period of lessened response.

In this case, since the researchers put the dog back in his cage for three hours after which the dog went through the conditioning process again after the three hours, then there'll be a spontaneous recovery.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

I found it easiest to draw arcs of radii AB and AC centered at A, and arcs of radii DB and DC centered at D. The intersection points of those arcs mark the points B' and C'. These are points B and C reflected across line AD.

Joining A, B', C', and D will make a figure symmetrical about AD.

Answer:

x = 20 degree

Step-by-step explanation:

Hope this helps u !!

Answer:

b/-7=4

b=4*-7

b= - 28

Step-by-step explanation:

If this helps you mark as brainlist.!

Answer: -28

Variable/unknown - B

Numbers we know: -7 and 4.

How to solve: Use inverse division. The inverse of division is multiplication.

7 has a negative sign. However, 4 is positive.

N + P = N

P + N = N

Rules of integers:

-7 is negative.

4 is positive.

Formula: N + P = N

-7 x 4 = -28

Final answer: -28

Answer:

Did you find them ?

Step-by-step explanation:

Answer:

The second one, my order is different, but they are equivalent answers

Step-by-step explanation:    6  22  22  18

  (√6 + √11)  / (√5 +√3)      multiple top and by  (√5 - √3)   note the minus

  (√6 + √11) × (√5 - √3)  / (√5 +√3) x (√5 - √3)

  (√30 + √55 - √18 - √33)  / (5 - 3)

 (√30 + √55 - 3√2 - √33) / 2

Answer:

18.6

Step-by-step explanation:

We know a side and a angle opposite of that side

(AC and Angle B respectively).

We know another side(AB). and are trying to find a angle opposite of it.

Let use Law of Sines rules.

[tex] \frac{ac}{ \sin(angle \: b)} = \frac{ab}{ \sin(angle \: c)} [/tex]

Substitute the values in.

[tex] \frac{22}{ \sin(90) } = \frac{7}{ \sin(x) } [/tex]

Solve for sin x by taking the reciprocal of both sides.

[tex] \frac{ \sin(90) }{22} = \frac{ \sin(x) }{7} [/tex]

Remeber sin 90 =1 and multiply 7 by both sides.

[tex] \frac{1}{22} \times 7 = \sin(x) [/tex]

Take the inverse of sin to find the angle measure.

[tex] \sin {}^{ - 1} (x) = \frac{7}{22} [/tex]

The answer is

18.6

Answer:

The circle's center is at (5, -2)

The radius is 4

Equation is

(x -5)^2 + (y - - 2)^2 = 4^2

(x -5)^2  + (y +2)^2 = 16

http://www.1728.org/circle.htm

Step-by-step explanation:

Answer:

Y=7

Step-by-step explanation:

the 7 is the y value. the y value is = 7 when x =2

Given:

Consider the below figure attached with this question.

The rate of change of the linear function is -8.

To find:

The value of a.

Solution:

If a linear function passes through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the rate of change of the linear function is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given table, it is clear that the linear function passes through the points (10,27) and (11,a). So, the slope of the linear function is:

[tex]m=\dfrac{a-27}{11-10}[/tex]

[tex]m=\dfrac{a-27}{1}[/tex]

[tex]m=a-27[/tex]

The rate of change of the linear function is -8.

[tex]-8=a-27[/tex]

[tex]-8+27=a[/tex]

[tex]19=a[/tex]

Therefore, the value of a is 19.

Answer:

it is C

Step-by-step explanation:

Answer:

Here are five number cards.

19

13

10

14

22

Two of the five cards are picked at random.

Work out the probability that the total of the two numbers is more than 32

+

Total marks: 3

The probability that the total of the two numbers is more than 32 is 2/5.

Probability is the study of likeliness of an event to happen.

The number cards given are 19 , 13 , 10 , 14 , 22

The Probability when two number cards are drawn then th sum is moire than 32 is ?

Probability = Favourable Outcomes / Total Outcomes

Total outcomes when total cards is 5 and no. of cards drawn is 2  

= [tex]\rm ^5C_2[/tex]

= ( 5 * 4 * 3 * 2 * 1)/(( 3 * 2 )(2.1))

= 10 outcomes

Favourable Outcomes

= ( 19 , 14) (19,22) (13,22)(14,22)

= 4

Probability = 4/10 = 2/5

Therefore the probability that the total of the two numbers is more than 32 is 2/5.

To know more about Probability

https://brainly.com/question/11234923

#SPJ2

Answer:

1cm to 2m

Step-by-step explanation:

self explanatory i think

Answer:

420 is the answer

hope it helps

Step-by-step explanation:

plz mark me brainleast

Answer:

-6

Step-by-step explanation:

The y-intercept is where the line crosses the y-axis which in this case is -6

Hope this helps

Answer:

times 2 ( x 2 )

Step-by-step explanation:

These two quadrilaterals are similar because figure A's sides are 20 times less than figure B's sides. Figure A's top base is 22 while figure B's top base is 44. To find the value of figure B's side, we multiply by 2. All the sides of figure A will be similar to the figure B if multiplied by 2.

Therefore, scale factor of figure A to figure B is multiply by 2.

hope this helps...

Answer:

Scale factor is 1 to 2

or given the actual question that you asked (a-b vs b-a)

2 to 1

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

You need to use a graphing calculator to figure it out.

Step By Step Explanation:

Step-by-step explanation:

The given equation is :

4(3x+2)=4(2x+3)+4x

Solving LHS, = 12x+8

Solving RHS, = 8x+12+4x

So,

12x+8 = 8x+12+4x

12x + 8 = 12x +12

12x cancel out from both sides, the given equation becomes not defined.

Answer:

48 months

Step-by-step explanation:

12 times 4 48

Answer:

48 months

There's 12 months in 1 year.

So we would multiply 12 months by 4 years to get 48 months

Answer:

A, y = 3x/2 - 12

Step-by-step explanation:

Use the equation y = mx + b.

m = 3/2

b = -12

y = 3x/2 - 12

Answer:

Here is your Answer

Step-by-step explanation:

Its A

A. Y = 3/2x - 12

Answer: ASA

Step-by-step explanation:

Answer:

-2 and -4

Step-by-step explanation:

Given the function f(x) = x² + 6x + 8

If f(x) = 0

x² + 6x + 8 = 0

Factorize

x² + 4x + 2x+ 8 = 0

x(x+4)+2(x+4) = 0

(x+2)(x+4) = 0

x+2 = 0 and x+4 = 0

x = -2 and -4

Hence the zero of the function is -2 and -4