What is the width of the rectangle shown?
4x + 3
A = 8x2 – 10x – 12
O
A. 44 - 4
O
2x - 15
O
o
O
c. 2x - 4
O
D. 4X – 15

Answers

Answer 1

Answer:

To find the width of the rectangle, we can use the formula for the area of a rectangle, which is the product of its length and width. In your question, you provided the area (A) as A = 8x^2 - 10x - 12, and the length is given as 4x + 3.

Let's denote the width as "w." So, we have:

Area (A) = Length (L) × Width (w)

A = (4x + 3)w

Now, we can solve for the width (w):

w = A / (4x + 3)

w = (8x^2 - 10x - 12) / (4x + 3)

Now, we need to simplify the expression for w. We can factor the numerator to see if there are any common factors:

w = [(2x - 4)(4x + 3)] / (4x + 3)

Now, we can cancel out the common factor of (4x + 3) in the numerator and denominator:

w = 2x - 4

So, the width of the rectangle is 2x - 4, which corresponds to option (C).

Step-by-step explanation:

Answer 2
Final answer:

The width of the rectangle is (8x^2 - 10x - 12) / (4x + 3)

Explanation:

To find the width of the rectangle, we need to equate the expression for the area of the rectangle to a product of its length and width. In this case, we have the area A = 8x2 - 10x - 12 and the length is given by 4x + 3. So, we can set up the equation (4x + 3) * width = A. Let's solve for the width:




 Expand the expression (4x + 3) * width to get 4x * width + 3 * width.
 Substitute the value of A into the equation, which gives us 8x2 - 10x - 12 = 4x * width + 3 * width.
 Combine like terms on the right side of the equation to get 4x * width + 3 * width = 8x2 - 10x - 12.
 Factor out the common factor of width on the left side of the equation to get width * (4x + 3) = 8x2 - 10x - 12.
 Divide both sides of the equation by (4x + 3) to isolate the width, giving us width = (8x2 - 10x - 12) / (4x + 3).



So, the width of the rectangle is given by the expression (8x2 - 10x - 12) / (4x + 3).

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Related Questions

Priya is making flyers for a school play. She needs to make 150 flyers total. She has already made 40 flyers. How many more flyers does Priya have left to make?

Answers

Answer:

110

Step-by-step explanation:

subtract 40 from 150

Answer:

Step-by-step explanation: So She already   40 out of 150  

flyers made. So subtract 150 minus 40 and you get 110. So the answer is 110 flyers she has left to make

Find 20% of 40. A. 8 B. 2 C. 0.5

Answers

Answer:

A)8

Step-by-step explanation:

10 percentage is 4 (to get this you have to do 40/10)

so 20 percentage is 8 (4*2)

Answer: 8

Multiply 20%×40 and get 8

Simplify the expression.

Choose the correct simplification of 9x2(4x + 2x2 − 1).

Answers

Answer:

72X + 54

Step-by-step explanation:

Answer: The answer is, 18x4 + 36x3 − 9x2

hurry plzzzzz!!!!!!!!!!!!! Find the height of a square pyramid that has a volume of 75 cubic feet and a base length of 5 feet. A:5 feet B:9 feet C:25 feet D:45 feet

Answers

Answer:

B

Step-by-step explanation:

The volume of a square pyramid can be found using:

v=1/3 bh

Where b is the area of the base, and h is the height

First, let's find the area of the base

a=l*l

We know the length is 5, so we can substitute it in

a=5*5

a=25

Now we know b(area), is 25, and we know the volume is 75, so we can substitute them in

v=1/3 bh

75=1/3(25)h

Divide both sides by 1/3, or multiply both sides by the reciprocal, 3/1

225=25h

Divide both sides by 25

h=9

So, the height is 9 feet , or choice B

Find the unknown side of the triangle below

A. 4cm
B. 3cm
C. 9cm
D. 19cm

Answers

Answer:

C - 9 cm

Step-by-step explanation:

We can use the Pythagorean theorem to figure out the missing side length, in this case, X.

The Pythagorean theorem states: a^2 + b^2 = c^2, with c being the hypotenuse. We have the side length of the hypotenuse which is 15, and we have another side length of 12. Let's put these back in our equation:

a^2 + 12^2 = 15^2;

If we simplify the squares by simply doing them: a^2 + 144 = 225;

Now let's subtract 144 from both sides to isolate the variable, a:

a^2 = 81;

Now we square both sides to find a:

a = 9

The missing side length is 9 cm.

2.5 x 10^6 in standard form

Answers

2.500.000 is the answer but I think simplifying it would make it 2.5?
2.5 x 10^6 is standard form, but the original number is 2,500,000.

What are 3 other points that take you to the same location as (6, -4pi/3)

Answers

Answer:

P1 (6, 2/3 π)

P2 (6, 10/3 π)

P3 (6, 14/3 π)

Step-by-step explanation:

To find the other three points you take into account that if you sum 2π to one coordinate you have the same point.

Hence, by adding 2π to -4π/3, and again other two times:

[tex]-\frac{4}{3}\pi+2\pi=\frac{2}{3}\pi\\\\\frac{2}{3}\pi+2\pi=\frac{8}{3}\pi[/tex]

[tex]\frac{8}{3}\pi+2\pi=\frac{14}{3}\pi[/tex]

hence, the other two points are

P1 (6, 2/3 π)

P2 (6, 10/3 π)

P3 (6, 14/3 π)

The area of each of the bases will be m2.


The area of the right and left lateral faces will be m2.


The area of the front and back lateral faces will be m2.


The lateral area of the prism will be m2.

The surface area of the prism is 22 m2.

Answers

Answer:

The area of each of the bases will be m2 answer; (1)(3)=3

The area of the right and left lateral faces will be m2. answer; (1)(2)=2

The area of the front and back lateral faces will be m2. answer; (2)(3)=6

The lateral area of the prism will be m2. answer ; 16

Step-by-step explanation:

Area of each bases = 3 m²

Area of the right and left lateral faces = 2 m²

Area of the front and back lateral faces = 6 m²

Lateral area = 16 m²

Surface area of the rectangular prism = 22 m²

What is the lateral Area of a Rectangular Prism?

Lateral area = 2(l + w)h

What is the Surface Area of a Rectangular Prism?

Surfacea area = 2(wl+hl+hw)

We are given a rectangular prism that has the following dimensions:

Length (l) = 1 m

Width (w) = 3 m

Height (h) = 2 m

Area of each bases = l × w = 1 × 3 = 3 m²

Area of the right and left lateral faces = 1 × 2 = 2 m²

Area of the front and back lateral faces = 2 × 3 = 6 m²

Lateral area of the rectangular prism = 2(l + w)h = 2(1 + 3)2 = 16 m²

Surface area of the rectangular prism = 2(wl+hl+hw) = 2(3 × 1 + 2 × 1 + 2 × 3) = 22 m²

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Carlitos rents a limousine for the night. The limo costs $625 and $0.15 for each mile driven
If Carlitos has a budget of $600 for the limo rental, what is the largest number of miles the
limousine can travel?

Answers

Answer: 40 miles

Step-by-step explanation:

Divide 600 by 15 and you get 14

Answer:

4 miles

Step-by-step explanation:

0.15 divided by 600 is 4000 miles.

(don't count the limo cost, just count the mile driven)

Please Help Me!
A paint can has a radius of 4inches and a height of 15 inches. What is the volume of the paint can? Round to the nearest tenth. Use 3.14 for pi.​

Answers

Answer:

63

Step-by-step explanation:

4*15=60 60*3.14=188.4 188.4*1/3= 62.8 rounded that would be 63

A bag contains 39 coins consisting of quarters and nickels the total value of the coins is $6.35 which system of equation can be used to used to determine the number of quarters Q and the number of nickels n In the bag

Answers

Answer:

The system of equation to determine the quantity of nickels and quarters is simultaneous equation.

Nickels = 17

Quarters = 22

Step-by-step explanation:

Given

Let n represent number of nickels

Let q represent number of quarters

From line 1 of the question, we understand that

Total coins = 39

So, n + q = 39 because the made up of the nickels and the quarters

It's also stated that the total value of these 39 coins is $6.35.

First, it should be noted that

1 nickel is worth 0.05 and 1 quarter is worth 0.25, we can represent the total value of the coins with the following equation

0.05n + 0.25q = 6.35

At this point, we have two equation such can be solved simultaneously

n + q = 39 ------- (1)

0.05n + 0.25q = 6.35 ------- (2)

So, the system of equation to determine the quantity of nickels and quarters is simultaneous equation.

Solving further.....

Make q the subject of formula in equation (1)

q = 39 - n

Substitute 39 - n for q in equation 2

0.05n + 0.25q = 6.35 becomes

0.05n + 0.25(39 - n) = 6.35

0.05n + 9.75 - 0.25n = 6.35

Collect like terms

0.05n - 0.25n = 6.35 - 9.75

-0.2n = -3.4

Divide through by -0.2

-0.2n/-0.2 = -3.4/-0.2

n = 17

Recall that q = 39 - n

Substituton 17 for n in this equation

q = 39 - 17

q = 22

Hence, there are 17 nickels and 22 coins

What is the radius of this circle?

A)
1.5 cm

B)
3 cm

C)
3.14 cm

D)
6 cm

Answers

Answer:B

Step-by-step explanation:

Answer:

3cm

Step-by-step explanation:

Diameter (2r)= 6cm.

Radius, r= 6/2 = 3 cm

Please help I will give brainliest

Answers

The area of Brian's cake's top = base x height

                                                  = 13 x 9

                                                  = 117 square inches

Area of Nancy's cake's top = [tex]\frac{1}{2\\}[/tex] x base x height

                                             = [tex]\frac{1}{2}[/tex] x 15 x 12

                                             = 6 x 15

                                             = 90 square inches

Therefore, Brian's cake's top has a greater area than Nancy's.

Answer:

Brian's parallelogram-shaped cake top had the greater area. It was 27 in² greater than Nancy's cake top.

Step-by-step explanation:

To find the area of a parallelogram, use the formula A = b × h, where A is the area, b is the base and h is the height. Substitute the base and height into the equation.

A = 13 × 9

Then work out the equation to get:

117 = 13 × 9

This means that Brian's cake top has an area of 117 in².

Next, find the area of a triangle using the formula A = [tex]\frac{bh}{2}[/tex], where A is the area, b is the base, and h is the height. Substitute the base and height into the equation.

A = [tex]\frac{15*12}{2}[/tex]

The * symbol means the same as multiply.

Then work out the equation to get:

180 = [tex]\frac{15*12}{2}[/tex]

This means that Nancy's cake top has an area of 90 in².

We can see that Brian's cake top has a greater area than Nancy's already, but to find out how much greater, just subtract 90 from 117:

117 - 90 = 27

Hence, Brian's cake top has a greater area of 27 in².

Complete the square to determine the minimum or maximum value of the function defined by the expression.

−x2 − 4x + 15

Answers

Max, 19
You know that it will have a minimum when the x^2 is positive, and a maximum when it’s negative. You can remember that when you’re thinking positively, you’re smiling (minimum). When you think negative, you’re frowning (maximum)
Hope this helps :)

If you have a box of marbles with 3 red, 2 yellow, 2 blue and 3 purple marbles and you will randomly pick a marble from the box, what is the probability of NOT picking a purple marble?

Answers

Answer:

7 over 10

Step-by-step explanation:

add up the marbles then subtract the purple marbles and put it over ten and you get 7/10

What is the surface area of the cylinder with height 2 m and radius 7 m? Round your answer to the nearest thousandth.

Answers

Answer:

395.841

Step-by-step explanation:

2 \pi r^2 = 2 \pi(7\text{ m})^2\approx

2πr

2

=2π(7 m)

2

\,\,307.87608\text{ m}^2

307.87608 m

2

Top and bottom circles

\underline{+\ bh = (2 \pi \ 7\text{ m})(2\text{ m})}\approx

+ bh=(2π 7 m)(2 m)

\,\,\underline{87.964594\text{ m}^2}

87.964594 m

2

The side is a rectangle with base = circumference

\text{Add them up:}\phantom{=}

Add them up:=

\,\,395.840674\text{ m}^2

395.840674 m

2

Final answer

\approx

\,\,395.841\text{ m}^2

395.841 m

2

Round

The surface area of the cylinder is 396 m²

What is a cylinder?

A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes.

Given that, A cylinder with height 2 m and radius 7 m, we are asked to find its surface area.

The surface area of a cylinder is given by = 2πr(h+r)

= 2×3.14×7(7+2)

= 396

Hence, the required surface area is, 396 m²

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I need help with 27 and 28 show step and round to nearest tenth

Answers

Answer:

#27: 56 ft squared #28: 32.85 ft squared

Step-by-step explanation:

Hope this helped! Please rate it if this helped!

Can someone please help me

Answers

Answer:

with what

Step-by-step explanation:

tell me i think i can help

The more you take, the more you leave behind. What am I?

brainliest for right answer

Answers

Answer:

Footsteps

Step-by-step explanation:

Answer:

Footsteps.

Step-by-step explanation:

You walk more and more and eventually those footsteps from previous are left behind.

(My dad told me this as a moral lesson when I was young.)

P.S

Have a Amazing Day!

Faker/Tosrel

Solve for t

T+20.04=14.3

Answers

Answer:

T= -5.74

Step-by-step explanation:

A juice box made of cardboard measures 4 inches by 1 inch by 2 inches. How much cardboard was used to make this juice box?
8 in
28 in
D)
28 in

Answers

Answer:

8 inches

Step-by-step explanation:

4 times 1 times 2 equals 8

Answer:

8

Step-by-step explanation:

4*2*1

WILL MARK BRAINLIEST! LOTS OF POINTS!​

Answers

See the attached picture.

i need help with these three questions someone help me please what are these shapes called

Answers

Answer:

The first shape is called (I don't know)

The second shape is called Icosahedron

The thrid shape is called Octahedron

Step-by-step explanation:

−3(n + 9) = 3
The solution is n = ______.

Answers

Answer: n = -10

Step-by-step explanation:

-3(n+9) = 3

-3n - (-27n) = 3

-30n = 3

n = -10

Answer:

n = -10

Step-by-step explanation:

Distribute -3 to n and 9. This makes -3n - 27 = 3. Add 27 to both sides, giving you -3n = 30. Divide -3 from both sides. This makes n = -10.

8 + 8 hshshdhhdhfbfbcbcbcbcbcbbxbxbxbxbcbcbcb

Answers

Answer:

16

Step-by-step explanation:

8+8=16

8 plus 8 equals 16 I believe is the answer

Use the information to write an equation with variables on both sides. Let x represent Kim’s age.

Bob is 4 years older than twice Kim’s age.

Paul is 1 year younger than 3 times Kim's age.

Bob and Paul are the same age.

Which equation can be used to determine Kim’s age, x, from the information about Bob and Paul?
4x + 2 = 3x + 1
4x + 2 = 3x + (–1)
2x + 4 = 3x + 1
2x + 4 = 3x + (–1)

Answers

Hey! I hope this helps!

Answer:

2x + 4 = 3x+ (-1)

Option D)

Step-by-step explanation:

We are given the following in the question:

Let x represent Kim's age

"Bob is 4 years older than twice Kim's age"

Thus, Bob's age =

4 + 2x years

"Paul is 1 year younger than 3 times Kim's age."

Thus. Paul's age is

(3x - 1) years

If Bob's age and Paul's age is equal, we can write:

2x + 4 = 3x + (-1)

Thus, the required expression is

2x + 4 = 3x + (-1)

Option D)

Option D!  2x + 4 = 3x + (-1)

The equation can be used to determine Kim’s age will be 2x + 4 = 3x + (–1). Then the correct option is D.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Use the information to write an equation with variables on both sides. Let x represent Kim’s age.

Bob is 4 years older than twice Kim’s age. Then the age of the Bob will be in terms of x.

B = 2x + 4

Paul is 1 year younger than 3 times Kim's age. Then the age of the Paul will be in terms of x.

P = 3x – 1

Bob and Paul are the same age.

B = P

Put the value of B and P, then we have the equation will be

2x + 4 = 3x – 1

2x + 4 = 3x + (–1)

Then the correct option is D.

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Please provide steps with answers

Answers

Answer:

it's answer is 36 inch ²

Hope it will help as I have my answers with picture.

Answer:

Step-by-step explanation:

You multiply 2 times 11 and then you multiply 9 times 2 then you multiply the answers I think sorry I am not that useful

Factor completely.



-5x2y + 10xy - 15xy2

Answers

Answer:

5xy*(3y+2)

Step-by-step explanation:

(1): "y2"   was replaced by   "y^2".

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 10xy +  (3•5xy2)

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  15xy2 + 10xy  =   5xy • (3y + 2)

Final result :

 5xy • (3y + 2)

Answer:

−5xy(x+3y−2)

Step-by-step explanation:

Factor

−5xy out of −5x2y+10xy−15xy2.

What are the solutions to the quadratics equation 2x+ + 6x – 20 = 1

Answers

Math I hate math bc it sucks

Which equation is equivalent to f(x) = -3(x-2)2 + 14?

Answers

The given function f(x) = -3(x-2)^2 + 14 is a quadratic equation shown in vertex form. To find an equivalent equation in standard form or solve for its roots, one can expand and simplify or use the quadratic formula with the appropriate coefficients.

The equation f(x) = -3(x-2)^2 + 14 is a quadratic equation in vertex form. In standard form, a quadratic equation is represented as at^2 + bt + c = 0. To express f(x) in this standard form, we simply need to expand the squared term and simplify. The given equation already shows that the parabola has been reflected vertically due to the negative sign before the coefficient of the squared term, and it is shifted 2 units to the right and 14 units up from the origin.

Transformations of the independent variable such as multiplying by a constant or adding a number, like in f(2x) or f(-2x), will affect the graph of the quadratic function. They result in horizontal scaling or reflection, while transformations like f{-2(x+1)} involve horizontal shifting.

To solve a quadratic equation that is set equal to zero, we can use the quadratic formula, which employs the coefficients a, b, and c. As an example, for a quadratic equation with constants a = 4.90, b = 14.3, and c = -20.0, the roots can be found through this formula.

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