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

what is the trend of the graph of the equation y = 3x + 10​

Answers

Answer:

3x+y-10

Step-by-step explanation:

please Mark my answer in brainlist

The sum of the speed of two trains is 725.6miles per hour. If the speed of the first train is 6.4 mph faster than that of the second train find the speeds of each

Answers

Step-by-step explanation:

change it in meter and solve it

15 mm 4 mm 3 mm what is the surface area of the prism

Answers

Answer:

234 millimeters^2 is the answer

Step-by-step explanation:

3 of 8
Write 264 as a product of primes.
Use index notation when giving your answer.

Answers

Answer: The prime factors of 2 × 2 × 2 × 3 × 11. The final answer is 264.

Find the sum of the pair of numbers.

8+(-2)

Answers

Answer:

6

Step-by-step explanation:

8-2

=8+-2

=6

the sum just means when u add them both together hope this helps! u just do 8 take away 2 because its a negative

Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories.

1. If she eats 2 servings of granola, how many calories does she eat?

calories

2. If she wants to eat 1050 calories of granola, how many servings should she eat

servings

3. Write an equation that will give us the number of calories (c) from the number of servings (s) eaten.

Answers

Answer:

1. 700 calories

2. 3 servings

3. c = 350s

Step-by-step explanation:

1. 5 servings = 1,750 calories

  divide by 5 on both sides

   1 serving = 350 calories

   multiply both sides by 2

   2 servings = 700 calories

2. 1 serving = 350 calories

   1050 calories = 350 calories X 3

    3 servings = 1,050 calories

3. 1 serving = 350 calories

   # of calories = 350 per serving

    c = 350s

The equation C=5(F−32)9 can be used to convert temperatures in degrees Fahrenheit to degrees Celsius.




State of Water Temperature (°F)

Freezing Point 32

Boiling Point 212



Find the freezing point and boiling point of water in degrees Celsius.




a. freezing point:

°C




b. boiling point:

°C

Answers

The part wasted at the consumer or retail level is referred to as food waste. We make this distinction to address the root.

Answer:

Both of the freezing points would be °C

Solve for r.
17r–13r=20
r=

Answers

Answer:

Step-by-step explanation:

Solve for r.

17r–13r=20

4r = 20

r = 20 : 4

r = 5

If you get this right i'll give u 40 :)

Answers

Answer:

1.NO  2. Yes

Step-by-step explanation:

Answer:

The first and second one is no

Step-by-step explanation:

(1/5) to the second power is 1/25 and adding 25/25 gets 26/25 which is not equal to 24/25

1 to the second power is still one and (1/4) to the second power is 1/16. 16/16 plus 1/16 is 17/16 which is not equal to 25/26

3x + 3y = 9
-3x + 2y = 1

Answers

Answer:

X=1

Y=2

Step-by-step explanation:

put 1 in for X

3(1)+3(y)=9

-3(1)+2(y)=1

now put 2 for Y

3(2)+3(2)=9

-3(1)+2(2)=1

3•1= 3

3•2=6

3+6=9

-3•1=-3

2•2=4

-3+4=1

1. If (3,-5) is an ordered pair of the
function F(x), which of the following
must be an ordered pair of the
inverse of F(x)?
Answer Choices:
(3,-5)
(3,5)
(-5,3)
(5,-3)

Answers

Answer:

(-5,3)

Step-by-step explanation:

for a function, an x input produces a y output.

the inverse of that function would, when given the y value as an input, have the x value as the output. The x and y values change places.

Due tomorrow: Answer using steps

Answers

Answer:

22.6/62 = 0.364 is the answer

Refer to the attachment

In a tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is watching her play and is 140 yards away from the golfer.
If the spectator has an angle of 115° between the golfer and the hole, what is the angle that the golfer has between the spectator and the hole?

hole?

25.6°
39.4°
64.3°
65.0°

Answers

Using the law of sines, it is found that the angle that the golfer has between the spectator and the hole is of 25.6º.

What is the law of sines?

Suppose we have a triangle in which:

The length of the side opposite to angle A is a.The length of the side opposite to angle B is b.The length of the side opposite to angle C is c.

The lenghts and the sine of the angles are related as follows:

[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]

Hence, in this problem, we have that:

[tex]\frac{\sin{115^\circ}}{200} = \frac{sin{x}}{140}[/tex]

[tex]sin{x} = \frac{140\sin{115^\circ}}{200}[/tex]

[tex]x = \arcsin{0.6344}[/tex]

x = 39.4º.

Considering that the sum of the internal angles of the triangle is of 180º, the angle that the golfer has between the spectator and the hole is given by:

A = 180 - (115 + 39.4) = 25.6º.

More can be learned about the law of sines at https://brainly.com/question/27174058

#SPJ1

Answer:

25.6

Step-by-step explanation:

I got it right

tìm m để phương trình có 1 nghiệm duy nhất
x+2y-2z=2
3x+7y-z=5
2x+4y+mz=7

Answers

Rewrite the system of equations in matrix form.

[tex]\begin{bmatrix}1&2&-2\\3&7&-1\\2&4&m\end{bmatrix} \mathbf x = \mathbf b[/tex]

This system has a unique solution [tex]\mathbf x = \mathbf A^{-1}\mathbf b[/tex] so long as the inverse of the coefficient matrix [tex]\mathbf A[/tex] exists. This is the case if the determinant is not zero.

We have

[tex]\det(\mathbf A) = m+4[/tex]

so the inverse, and hence a unique solution to the system of equations, exists as long as m ≠ -4.

If point A is located at (-7 , 5) on a coordinate plane, and point B is located at (4 , 5), what is the distance between the two points?​

Answers

Answer:

[tex]11[/tex]

Step-by-step explanation:

[tex]\sf{Use\: the\: distance\: formula\: to\: determine\: the\: distance\: between\: two\: points.[/tex]

[tex]\sf{Distance=\sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

[tex]\mathrm{Plug\:the\:points}[/tex]

[tex]\sqrt{\left(4-\left(-7\right)\right)^2+\left(5-5\right)^2}[/tex]

[tex](4+7)^2=11^2\\(5-5)^2=0[/tex]

[tex]\sqrt{11^2+0}[/tex]

[tex]11^2+0=11^2\\\sqrt{11^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule:\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\:\mathrm{is\ greater\ than \:or\ equal\: to \:0}[/tex]

[tex]=11[/tex]

Help help help help help help soon people help

Answers

Answer:

A'(5,1)

B'(6,-3)

C'(2,3)

Step-by-step explanation:

assuming the translation is right 3, just add 3 to each x value

What is 3/4+1 2/3+1/2=

Answers

35/12 is the correct answer

Answer:

Exact Form:

35/12

Decimal Form:

2.916- (6 goes on)

Mixed Number Form:

2 11/12

Please help me out with this Math sheet. Thanks

Answers

Answer:

1. acute

2. obtuse

3. right

4. acute

5. straight

6. obtuse

7. acute

8. obtuse

9. straight

10. ∠ EAD , ∠ CED , ∠ BCE , ∠ BEA  , ∠EBC

11. ∠CDA  , BCD

12. ∠AED ,∠BEC

13. ∠ AEC, ∠ BED

14. ∠ EAU , ∠EUI , ∠IUO , ∠OAE

15. ∠ EUO , ∠IUA

16. ∠AUO , ∠EIO

In my town, gas prices are always listed to the thousandth place. Since the smallest coin we have is the penny, we have to round them to the hundredth place. If the price of gas is $8.162, what will the price be when we round it to the hundredth place?

Answers

When rounded to the hundredths place, the price would be $8.16

Since the hundredths place is where the .06 was, and the preceding was less than 5, it stayed as .06

I NEED HELP ASAP NO LINKS

Answers

Answer:

d =  y = 4.25x

correct answer i would say.

Step-by-step explanation:

Cheddar cheese cost 4.25 per pound . This means the cost of cheddar cheese is 4.25 for every pound in weight. Assuming we put a currency to the value we can say 1 pound of cheddar cheese is equals to 4.25 dollars($4.25). Mathematically, it can be represented as  

4.25 is the cost for 1 pound of Cheddar cheese

Let the cost of the equation be y as required from the question.

y = cost of the cheddar cheese

x is the weight value in pounds of the Cheddar cheese.

The equation can be best represented as

y = 4.25x

In the equation above if the amount in pounds is 3 pound . the value will be inputted for x and the cost will be gotten which is y.

hope this helped!

mark me brainliest :D

The vertex angle of an isosceles triangle is 127º. What is the measure of each base angle?

Answers

Answer:

Step-by-step explanation:

(180 - 127) / 2 = 26.5°

The vertex of a parabola is (-1, 4). What is the equation of the axis of symmetry of the parabola?

Answers

Answer:

x = - 1

Step-by-step explanation:

The vertex is given (-1, 4).

The axis of symmetry is a vertical line and passes through vertex.

Since the x- coordinate of vertex is  - 1, the line of symmetry is x = - 1.

Answer:

x=-1

Step-by-step explanation:

Parabola is symmetric on both sides of the vertex

The axis of symmetry is the x coordinate of vertex

Here the vertex is (-1,4)

So axis of symmetry is x=-1

HELPPPPPPPP ASAPPPPPPPPPPPPPPP!!!!!!!!!!!!!!

Answers

Your answer is 22.19 inches

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! :)

1. Which of the following functions could match the graph shown below?
a. f(x)= 2x

b. f(x) = 2 + x

c. f(x) = x + 0.5

d. f(x) = 0.5x

2. If a car travels for 200 miles at a constant rate of 70 miles per hour, which equation below can NOT be used to find the travel time?

a. 20070=t

b. 70200=t

c. 20 = 7t

d. 200 = 70t

Which of the following situations could match this formula? (There may be more than one correct answer.)

500=100x

a. An object travels 500 feet for 100 seconds.

b. An object travels at 500 miles per hour for 100 hours.

c. An object travels 500 miles at a rate of 100 miles per hour.

d. An object travels 100 inches per minute for 500 minutes.

Answers

We want to answer different things regarding linear equations.

The answers are:

1) d2) b 3) a and c.

1) We want to see which function matches the given graph.

So, we can see that this is a linear function, that passes through the origin, so the y-intercept is y = 0.

We also can see that it passes through the point (2, 1).

Then we have that:

1  = a*2 + 0

1/2 = 0.5 = a

So the linear equation is:

y = 0.5*x

Here the correct option is d.

2) We know the relation:

distance = speed*time

So any permutation of these values can be used to find the time.

Then the option that can not be used to find the travel time is:

b) 70/200 = t

Because in this case, we are taking:

speed/distance = time

And that is incorrect.

3)  We have the formula:

500 = 100*x

Again, using:

Distance = speed*time

The options that are correct are the ones where 500 represents a distance and the 100 represents time or speed, then the correct options are:

a and c.

If you want to learn more, you can read:

https://brainly.com/question/2263981

The bag has 99 buttons. Draw more buttons so there are 105 buttons in all. Write the numbers as you count.

Answers

Answer:

100 101 102 103 104 105

Step-by-step explanation:

im kinda confused

Solve for x: -2(x + 3) = -2x - 6

A. 0
B. 3
C. All real numbers
D.No solution

Answers

Answer:

D.No solution

Answer:

C

Step-by-step explanation:

-2(x + 3) = -2x - 6               Remove the brackets

-2x - 6 = -2x - 6

Since the left and right sides are equal, any number will work.

If you wind up with a false statement, then there are no solutions.

2x + 4 = 2x + 7                    Subtract 2x from both sides.

4 =    7

Benji took out a $10,000 loan at a 13% interest rate. Benji will not make a payment for the next 3 years. How much will be owed in 3 years with monthly compounding?

Round your answer to the nearest cent.
(please help)

Answers

Answer:

Plug into calc

Step-by-step explanation:

A= P(1+r/n)^nt

A= 10000(1+.13/12)^12*3

(E) 140°
2. If ZX and Zy are complementary, and ZX
and ZZ are supplementary, which of the
following is true?
(A) MZY + mZZ = 270
(B) 2(mZY)= m_Y + m2Z
(C) mZZ mZX = 90
(D) mZZ m_Y = 90
(E) mZX + mZZ = 180

Answers

Answer:

a

Step-by-step explanation:

just took the test

(E) 140°

2. If ZX and Zy are complementary, and ZX

and ZZ are supplementary, which of the

following is true?

(A) MZY + mZZ = 270

(B) 2(mZY)= m_Y + m2Z

(C) mZZ mZX = 90

(D) mZZ m_Y = 90

(E) mZX + mZZ = 180


Answer: mzy+mzz=120 is the answer

Need help please need help

Answers

Answer:

b.y=4

c. x=6

These are the answers hope this helps

Answer:

sorry cant help

Step-by-step explanation:

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