If the area of a rectangle is 12[tex]b^{7}[/tex]b[tex]b^{4}[/tex] and the width of the rectangle is 4[tex]a^{2}[/tex][tex]b^{2}[/tex] , what is the length of the rectangle?

Answers

Answer 1

[tex]\text{Given that,}\\\\\text{Area} = 12 b^7 b b^4 =12 b^{12}\\\\\text{Width} = 4a^2 b^2\\\\\text{Now,}\\\\\text{Length} \times \text{Width} =\text{Area} \\\\\implies \text{Length} = \dfrac{\text{Area}}{\text{Width}}=\dfrac{12b^{12}}{4a^2 b^2} = \dfrac{3b^{10}}{a^2}[/tex]


Related Questions

help quick due in 10 minutes you will be reported if you spam Ivan is 75 inches tall if his brother Logan was 5 inches shorter, he would be exactly half Evan's height How tall is Logan? Enter your answer as a decimal in the box,​

Answers

Answer:

35

Step-by-step explanation:

if not correct I'm very very sorry I tried my best for this</3

Determine whether the graphs of given pair of equations are parallel,
perpendicular, or neither. 2x+5y=15
3x+5y=15

Answers

Answer:

Neither because x can't equal 3 and equal 2 at the same time and 2x + 5y doesn't equal 3x + 5y. 3x is > 2x by one x

Step-by-step explanation:

Hope this answer works for you!

Order of operations and cross
reduce:
I got 20/3 but I think I’m wrong

Answers

Answer:

130/81

simplified: 1 49/81

Step-by-step explanation:

I did the math

Is the following relation a function?
X. Y
-1. -2.
2. 3
3. 1
6. -2

Answers

Answer:

Step-by-step explanation:

x y

−1 −2

2 3

3 1

6 −2

Answer:

no

Step-by-step explanation:

6 and -2 is not a function

What is the prime factorization of 270?

Answers

270 = 2 x 3 x 3 x 3 x 5 = 2 x 3^3 x 5

ok done. Thank to me :>

Answer:

2x3x3x3x5

Step-by-step explanation:

if your doing this on time4learning lesson type 5x2x3x3x3 to get it right it worked for me but it didnt work in any other order

Do you think you could use a multiply a 4 digit number by a 1 digit number

Answers

Answer:

line them up straight with the bottom number and the top number.

Dеtеrmіnе tһе rаnցе օf tһе fսnсtіօn f(х) = 3х - 5 ԝһеn tһе ԁօmаіn іѕ {-4, 2, 9}.

Answers

Answer:

range is { - 17, 1, 22 }

Step-by-step explanation:

Substitute the values from the domain (input) into f(x) for range

f(- 4) = 3(- 4) - 5 = - 12 - 5 = - 17

f(2) = 3(2) - 5 = 6 - 5 = 1

f(9) = 3(9) - 5 = 27 - 5 = 22

range is { - 17, 1, 22 }

Find The nth Term of this number sequence
18, 16, 14, 12

Answers

☆Answer :

a = 18

d = 16 - 18 = -2

an = a + (n - 1) × d

an = 18 + (n - 1) × (-2)

an = 18 - 2n + 2

an = -2n + 20

name the parts mentioned in the figure below

please answer this


Answers

Answer:

O - point

CD- chord

AB- diametre

I dont know PO sorry

Answer:

O is the center.

AB is the diameter.

OP is a radius.

CD is a tangent.

By the way the combination of letters is the two points that it relates too.

Step-by-step explanation:

hope this helps. . .<3

Find complex numbers z=(x,y) such that
[tex]z ^{2} = - 5 - 12i[/tex]


Answers

Answer:

I don't know..,.............,,.,.......,

¿Cuál es la pendiente perpendicular a la pendiente m = 3 ?

Answers

Answer:

The slope of a line perpendicular to a vertical line is zero.

Step-by-step explanation:

Y=1/2x-5
What is the slope?

Answers

Answer: 1/2

Step-by-step explanation:

Slope is the number in front of x

Answer:

The slope of the line or m is represented by 1/2. x and y are coordinates on the line and -5 represents the y-intercept. The used for this equation is y = mx + b. M = slope and b is the y-intercept

Step-by-step explanation:

Hope I made sense to you.

A square is 3 inches by 3 inches. What is its area

Answers

Answer:

9

Step-by-step explanation:

Because area is multipication, you need to multiply legth and width. So 3x3=6. Hope it helps! :)

A right triangle is shown in the graph. Part A: Use the Pythagorean Theorem to derive the standard equation of the circle with center at (r, s) and a point on the circle at (x, y). Show all necessary math work. (3 points) Part B: If (r, s) = (7, –4) and t = 10, determine the domain and range of the circle. (4 points) Part C: Is the point (9, 1) inside the border of the circle if (r, s) = (7, –4) and t = 10? Explain using mathematical evidence. (3 points)

Answers

Answer:

Part A, write out the equation by subtracting the vertex from x and y, then set it equal to the radius square. All of this information is given in the picture. Then the domain is all the x's and the range is all the y's starting at the center and going out 10 in each direction since 10 is the radius.

Step-by-step explanation:

Use the circle formula that you learned in lesson 3.02 using the given points. Remember this quiz was open note and your formula should be in your notes. Also, it should be familiar to you from Geometry and middle school math where you first learned about circles:)

3х – 11 = 22 solve x

Answers

Answer:

x=11

Step-by-step explanation:

3x-11=22

3x-11+11=22+11

3x=33

3x/3=33/3

x=11

Step-by-step explanation:

3x = 22 + 11

3x = 33

3x = 33/3

3x = 11

find the point (x,y) on the curve where dy/dx = 0

Answers

a. By the chain rule,

[tex]\dfrac{dy}{dx} = \dfrac{dy}{dt}\cdot\dfrac{dt}{dx} = \dfrac{dy}{dt}\cdot\dfrac{1}{\frac{dx}{dt}}[/tex]

Given that [tex]y=e^t+e^{-t}[/tex] and [tex]x=e^{-t}[/tex], we have the derivatives

[tex]\dfrac{dy}{dt} = e^t -e^{-t}[/tex]

[tex]\dfrac{dx}{dt} = -e^{-t}[/tex]

and so

[tex]\dfrac{dy}{dx} = \dfrac{e^t - e^{-t}}{-e^{-t}} = 1-e^{2t}[/tex]

Set this equal to zero and solve for t :

[tex]1-e^{2t} = 0[/tex]

[tex]1 = e^{2t}[/tex]

[tex]\ln(1) = \ln\left(e^{2t}\right)[/tex]

[tex]0 = 2t \ln(e)[/tex]

[tex]0 = 2t[/tex]

[tex]t=0[/tex]

This value of t corresponds to x = e⁰ = 1 and y = e⁰ - 1/e⁰ = 1 - 1 = 0. So the only point on the curve where the derivative dy/dx is zero is (1, 0).

b. Compute the second derivative. Since dy/dx is a function of t, we'll momentarily replace it with f(t). By the chain rule,

[tex]\dfrac{d^2}{dx^2} = \dfrac d{dx} \dfrac{dy}{dx} = \dfrac{df}{dx} = \dfrac{df}{dt}\cdot\dfrac{dt}{dx} = \dfrac{df}{dt}\cdot\dfrac{1}{\frac{dx}{dt}}[/tex]

We have

[tex]\dfrac{df}{dt} = -2e^{2t}[/tex]

and we've already committed dx/dt. So

[tex]\dfrac{d^2}{dx^2} = \dfrac{-2e^{2t}}{-e^{-t}} = 2e^{3t} [/tex]

Substitute the first and second derivative into the differential equation:

[tex]\left(\dfrac{d^2y}{dx^2}\right)^2 + \dfrac{dy}{dx} - 1 = 0[/tex]

[tex]\left(2e^{3t}\right)^2 + (1-e^{2t}) - 1 = 0[/tex]

[tex]4e^{6t} -e^{2t}= 0[/tex]

[tex]e^{2t} (4e^{4t} - 1) = 0[/tex]

[tex]4e^{4t} - 1 = 0[/tex]

[tex]4e^{4t} = 1[/tex]

[tex]e^{4t} = \dfrac14[/tex]

[tex]\ln\left(e^{4t}\right) = \ln\left( \dfrac14\right)[/tex]

[tex]4t \ln(e) = -\ln(4)[/tex]

[tex]4t = -\ln(4)[/tex]

[tex]t = -\dfrac{\ln(4)}4[/tex]

Function or non functional? Pls help ty :3

Answers

It would be a function as no two y values have the same x value

sole the inequality x-8>-4

Answers

Answer:

[tex]x>4[/tex]

Based on this, we know the correct number line will be an empty bubble with a line going to the right of 4.

Step-by-step explanation:

[tex]x-8>-4[/tex]

add 8 to both sides of the inequality

[tex]x>4[/tex]

A single card is drawn at random from a standard 52 card deck. Work out the following probabilities in their simplest form: P(4)= P(not 4)=​

Answers

Answer:

Step-by-step explanation:

Total Number of possible outcomes = 52

Getting a jack from a deck of 52 cards for a certain event (A) = 4

The Probability (A) = 4/ 52

= 1 / 13 = 0.07

Hope you like it please mark as brainliest.

how many times can 2 go into 67




fourth grade help​

Answers

Answer:

Step-by-step explanation:

To answer this, divide 67 by 2, writing the answer as a mixed number:

67

---- = 33 1/2

 2

thus, 2 can go into 67 33 times, keeping in mind that there's a remainder (1/2).

Multiply (4-5i)(4+i)

Answers

Answer:

this is the correct answer happy



. Consider the set {7,8,9), a subset of this set includes:
{2,3}
b. {5,63
c. none of these
d. {10,11

Answers

Answer:

Option "C" none of these is the correct answer.

Step-by-step explanation:

The subset of the set {7, 8, 9} must have the elements of this set only.

Hope this helps :)


What is the equation of the line that has a slope of 3 and goes through the point (-3,5)?
A. Y=3x +4
B. Y= 3x - 14
C. Y= 3x - 4
D. Y= 3x + 12

Answers

Answer:

C. y=3x-4

Step-by-step explanation:

I just know trust me

Help me please!!!!!!!!!!!

Answers

6-4x=7x-9x-6
6-4x=-2x-6
6=2x-6
12=2x
6=x

Solve for w.
16w–w–12w–2w=13
w=

Answers

Answer:

w = win

Step-by-step explanation:

w=13

Answer:

w = 13

Step-by-step explanation:

16w - w = 15w

15w - 12w = 3w

3w - 2w = w

w = 13

Below are the graphs of the functions y=2x and y3x What is the same about both lines?​

Answers

C they rise upward toward the right

Describe how the point-slope formula is useful when writing the equation of a trend line

Answers

Step-by-step explanation:

if you observe the graph the y values increase as the x value increase.

so it has a possitive association.

if the value of y increase as the value of the x increase then data has positive association.

11.2+X=-24.7. what is X

Answers

After doing some quick calculations, we can determine that X = −35.9

I hope this helps! :)

Answer:

x = -35.9

Step-by-step explanation:

Subtract both sides by 11.2                                                                                                 11.2 - 11.2 equals zero leaving x on one side.

x = - 24.7 - 11.2

A negative minus another negative number is a larger negative number.

x= -24.7 - 11.2 = -35.9

x = -35.9

How much is 2+10.


Please help me i dont know
Will give brainliest

Answers

Answer: 12

2 + 10

12

:)

Answer: 12

Step-by-step explanation: just add 2 to 10

1. 2y +8x =70

2. 2y = 8x- 70

3. y= 8x- 70

What’s the slope and y intercept for these equations?

Answers

Can you give me some hint please

1) 2y + 8x = 70
2y = 70 -8x
2y/2 = 70 -8x /2
Y = 35-4x
Y= 4x + 35
The slope here is 4 and the y intercept is 35

2) 2y = 8x -70
2y /2= 8x-70/ 2
Y= 4x -35
The slope here is 4 and the y intercept is -35

3) y= 8x -70
The slope here is 8 and the y intercept is -70
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