Is (a + b) and (a - b)? perfect square trinomials?
O True
O False

Answer:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}[/tex]

Required

Solve

Change / to *

[tex]\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}[/tex]

Factor out 3

[tex]\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}[/tex]

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}[/tex]

Factorize:

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}[/tex]

Cancel out 3x + 8

[tex]\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}[/tex]

Factorize:

[tex]\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}[/tex]

Combine

[tex]\frac{x^2 - 9}{2*3x(18 - x)}[/tex]

[tex]\frac{x^2 - 9}{6x(18 - x)}[/tex]

Express the numerator as a difference of two squares

[tex]\frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Hence:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Answer:

12710 license plates

Step-by-step explanation:

Given that :

First character = one of 41 different hieroglyphs

Second character = one of 31 emojis

Third character = one of 10 polygons

A license plate consists of 3 characters

Number of 3-character license plates available :

Number of hieroglyphs * Number of emojis * number of polygons

41 * 31 * 10 = 12710 license plates.

Answer:

volume is equal to ratio

Answer:

This is your answer. If I'm right so,

Please mark me as brainliest. thanks!!!

Answer:

The tires are spinning at 660.49 revolutions per minute.

Step-by-step explanation:

The speed of the tires (v) is the same that the speed of the car, so to find the angular velocity of the tires we need to use the equation:

[tex] \omega = \frac{v}{r} [/tex]

Where:

r: is the radius of the tires = d/2 = 28 inches/2 = 14 inches

[tex]\omega = \frac{55 mph}{14 inches*\frac{1 mile}{63360 inches}} = 2.49 \cdot 10^{5} \frac{rad}{h}*\frac{1 h}{60 min}*\frac{1 rev}{2\pi rad} = 660.49 rpm[/tex]              

Therefore, the tires are spinning at 660.49 revolutions per minute.

I hope it helps you!          

Answer:

x

Step-by-step explanation:

x/y / 1/y =

x / 1 x y / y =

x / 1 x 1 =

x

Hope that helps!

-Sabrina

Answer:

∠2 = 80°

Step-by-step explanation:

∠1 and ∠2 are supplementary angles (their sum is 180°)

Answer:

Rodger and Trish will finish the homework together for 30 hours. x=30

Step-by-step explanation:

This is a very simple problem. Its an lcm problem (lcm means lowest common multiple)

To find the lcm you must find the common number the two numbers 5 and 6 share which is 30. Hope that helps, sorry your having a bad day. (i am too bad days suck)

6    5

12   10

18   15

24   20

30   25

       30

And the file the other person shows never work, they are bots (robots) who waste your time answering your questions and waste your brainly points. ugh it gets to annoying.

Roger and Trish can finish 11x/30 of the homework if they work together for x hours.

An expression is combination of variables, numbers and operators.

Let the total amount of work in the math homework is 1.

In one hour, Roger can finish 1/6 of the work, and Trish can finish 1/5 of the work. So, working together for one hour, they can finish:

(1/6) + (1/5)

= (5/30) + (6/30)

= 11/30 of the work.

If they work together for x hours, then they will finish:

x × (11/30) = 11x/30

of the work in x hours.

Therefore, Roger and Trish can finish 11x/30 of the homework if they work together for x hours.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ3

Answer:

0.75

Step-by-step explanation:

what you do is divde 3 by 4 which equals to 0.75

Answer:

75%

Step-by-step explanation:

If your rounding 2 decimals. Hope this helps!

Answer:

x = 5

Step-by-step explanation:

Angles DEB and AEC are vertical angles, so they are congruent, and their measures are equal.

8x - 3 = 5x + 12

3x = 15

Answer:

900

Step-by-step explanation:

Answer:

900 seconds

Step-by-step explanation:

Answer:

parallel

Step-by-step explanation:

Because a is pependicular to k

Answer:

B is the correct answer I believe..

Step-by-step explanation:

Answer: I strongly believe it is B

Step-by-step explanation:

Answer:

42 = C (y ≤ 2)

43 = G (-x + 4x - 2)

44 = B (Its axis of symmetry is x = 14)

45 = H (x = 2)

Answer:

no

Step-by-step explanation:

[tex]1\frac{2}{3}= 1.64\\263/144= 1.83[/tex]

Answer: -6 ≤ x < 4

Step-by-step explanation:

Open circles on a graph mean that that point is not included

Filled in circles on a graph mean that that point is included

As a result, the end point (-6, -6) is included while (4, 8) is not

The domain is all possible x-values so the graph can be anywhere from:

-6 ≤ x < 4

Note that there are no possible values for the x-value of 4

Answer:

I'm sure it is 25 hope this helps!!!

Answer:

Should be 25

Step-by-step explanation:

Lol is that pearson realize? i hate that buddy good luck

Answer: 108$

Step-by-step explanation:

The brackets are first, then the multiplication

Answer:

A : 25

Step-by-step explanation:

In a neutral atom, the number of electrons is equal to the number of protons. The atomic number indicates the number of protons.

The mass number is the sum of the number of neutrons and the number of protons.

mass number=protons+neutrons

As we know from the atomic number, the number of neutrons is 14 and the number of electrons is 11.

mass number = 14 + 11

Answer:

$583 :)

Step-by-step explanation:

well we know the sales tax is %6 and to find out how much money it is equal to we have multiple $550 x 0.06. after that we get $33. Add $33 to $550 and you get $583!

Answer:

13

Step-by-step explanation:

it's a 5,12,13 triangle

and we can find the sides by Pythagorean theorem:

a^2 + b^2 = root of c

25 + 144 = 169

root of 169 = 13

Answer:

18 is 14% of 128.5714

Step-by-step explanation:

it's 77.78

Step-by-step explanation:

14: 18*100 =

(14*100): 18 =

1400: 18 = 77.78

Now we have: 14 is what percent of 18 = 77.78

Question: 14 is what percent of 18?

Percentage solution with steps:

Step 1: We make the assumption that 18 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x.

Step 3: From step 1, it follows that $100\%=18$100%=18.

Step 4: In the same vein, $x\%=14$x%=14.

Step 5: This gives us a pair of simple equations:

$100\%=18(1)$100%=18(1).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{18}{14}$100%x%=1814

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{14}{18}$x%100%=1418

$\Rightarrow x=77.78\%$⇒x=77.78%

Therefore, $14$14 is $77.78\%$77.78% of $18$18.

Answer:

a) 20ft

Step-by-step explanation:

just multiply the model length and the scale factor

Answer:

C, you can use rotations to describe a change in the position of a figure.

Answer:

So the length will be the same as the length of the torso

9514 1404 393

Answer:

  9, the sum of the numbers given in the ratio

Step-by-step explanation:

The reduced ratio 2 : 7 means that two parts correspond to one length and 7 parts correspond to the other length. That is, there are a total of 2+7 = 9 parts in the full length of the segment.

It is convenient to think of the line segment as being divided into 9 equal parts.

_____

Additional comments

It is often helpful to consider the total number of "ratio units" in a given ratio. For example, in this problem, the shorter segment is 2/9 of the whole, and the longer one is 7/9 of the whole.

It can also be useful to consider what a "ratio unit" represents. If the whole segment is 27 inches long, then each of the 9 ratio units will represent 3 inches, for example. This means the division 2:7 is 2(3 in):7(3 in) = 6 in : 21 in.

Answer:

[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Step-by-step explanation:

From Newton's law of universal gravitation, the force of attraction between two objects of masses [tex]M_{1}[/tex] and [tex]M_{2}[/tex] is given as:

[tex]F_{g}[/tex] = [tex]\frac{GM_{1} M_{2} }{r^{2} }[/tex]

Thus, cross multiply to have;

[tex]F_{g}[/tex][tex]r^{2}[/tex] = G[tex]M_{1}[/tex][tex]M_{2}[/tex]

then divide through by G[tex]M_{2}[/tex] to have,

[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Therefore, [tex]M_{1}[/tex] can be expressed in terms of [tex]F_{g}[/tex], [tex]r^{2}[/tex], G, [tex]M_{2}[/tex] as [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]