The length of a rectangle is 3cm more than its width.If the area of the rectangle is 28cm^2,find the width.

Answers

Answer 1

Answer:  The dimensions of the rectangle are 7 cm × 4 cm

Step-by-step explanation:

let,

Breadth of the rectangle (l) = x

Length of the rectangle (b) = x + 3

Area of the rectangle = 28 cm²

Area of the rectangle = l × b

⇒ (x) × (x + 3) = 28

⇒ x² + 3 x = 28

⇒ x² - 3 x - 28 = 0  

⇒ x² - 7 x + 4 x - 28 = 0

⇒ (x - 7) + 4(x - 7) = 0

⇒ (x - 7)(x + 4) = 0

⇒ x = 4

Breadth = 4 cm

Length -

⇒ 4 + 3

⇒ 7 cm


Related Questions

How many two-dimensional objects does the
object shown above have?
A. 3
B. 4
C. 8
O D. 5

Answers

Answer:

d

Step-by-step explanation:

The equations 3x-2y=-14 and 3x+y=-11 are plotted on the same set of axes. what are the coordinates of a point that's common to both equations? how do you know?​

Answers

Answer:

14

Step-by-step explanation:

Answer:

(-4, 1)

Step-by-step explanation:

Solve it as a system of equations:

[tex]3x-2y=-14\\3x+y=-11[/tex]

subtract the two equations

[tex]-3y = -3[/tex]

divide both sides by -3

[tex]y=1[/tex]

Plug this into the equation 3x + y = -11 to solve for x

[tex]3x + 1 = -11\\[/tex]

subtract 1 from both sides

[tex]3x = -12[/tex]

divide both sides by 3

[tex]x = -4[/tex]

So the answer is (-4, 1)

Please help me ASAP I need this done please! (Giving brainliest)

Answers

Answer:

Step-by-step explanation:

a 2x-2+6x+10=120

b x=14

c l=47 w=13

What is the area of this trapezoid?
Help! I need this please!

Answers

answer is 26 its the correct answer

c/- 4 = 16
please help

Answers

C=-64


Multiple the equation by -4

Jake bought 3 drawing pens for $8.07. Each pen costs the same amount. About how much did he spend for one pen? * 2 points

Answers

Given:

Jake bought 3 drawing pens for $8.07.

Each pen costs the same amount.

To find:

How much did he spend for one pen?

Solution:

Let x be the cost of each pen. Then

Cost of three pens = 3x

Jake bought 3 drawing pens for $8.07.

[tex]3x=8.07[/tex]

Divide both sides by 3.

[tex]x=\dfrac{8.07}{3}[/tex]

[tex]x=2.69[/tex]

Therefore, he spend $2.69 for one pen.

Ill give brainliest,

The fastest train on Earth, the TGV from France can travel at faster speeds than most any other train. During a test, the train travel 800 miles in 2.5 hours. What is its speed?

Answers

Answer:

The fastest car on Earth, a British-made Thrust SSC, would win every ... The fastest train on Earth, the TGV from France, can travel at faster speeds than trains in the United States. During a speed test, the train traveled 800 miles in 2.5 hours. What is its ... Based on this speed.

Step-by-step explanation:

The speed of the train is 320 miles per hour.

What is speed?

Speed is the ratio of the given distance and time.

It shows how fast an object is moving at a given time.

The formula is Distance / Time.

We can find the distance or time when the required values is given using this formula.

We have,

The speed of the TGV train can be calculated using the formula:

Speed = distance/time

where distance is given in miles and time is given in hours.

In this case,

The distance traveled by train is 800 miles, and the time taken to travel this distance is 2.5 hours.

Substituting these values into the formula, we get:

Speed = 800 miles / 2.5 hours

Simplifying the expression on the right-hand side, we get.

Speed = 320 miles per hour

Therefore,

The speed is 320 miles per hour.

Learn more about speed here:

https://brainly.com/question/7359669

#SPJ2

What is the positive solution to this equation?

4x²+12x=135​

Answers

Answer:

4.5

Step-by-step explanation:

Donovan has 5 times as many red fish as he does blue fish and half as many gray fish as blue fish. How many total fish (F) does Donovan hav

Answers

we dont know the 1st number. Like how many red fish are there?

A researcher measured approximately 0.005123 grams of bacteria in a sample. How is this number expressed in scientific notation?

Answers

Answer:

5.123 × 10-3

m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.

I hope this helps.. :D

-2(x+1)+4x<-10 what’s the solution

Answers

answer is -3 i THINK

Equation/Question:

-2(x+1)+4x<-10 What’s the solution?

Answer/Way I did it:

1. Expand.

-2x-2+4x<-10

2. Simplify  -2x-2+4x to  2x-2.

2x-2<-10

3. Add 2 to both sides.

2x<-10+2

4. Simplify  -10+2 to −8.

2x<-8

5. Divide both sides by 2.

x<-8/2

6. Simplify  8/2 to  4.

x<−4

Done by NeighborhoodDealer

I need Help can someone please help me with this. Write an equation of a function with each domain: A. [2, [infinity]) B. (-[infinity], [infinity]) C. (2, [infinity])

Answers

Step-by-step explanation:

A.

[tex]f(x) = \sqrt{x - 2} [/tex]

B.

[tex]g(x) = 2x [/tex]

C.

[tex]h(x) = \frac{1}{x - 2 \: } \: \: \: \: h(x) = x where x is greater than zero

A construction company is fencing the triangular plot shown. 50 it What is the exact length of fencing that the company will need?
A.50 + 50√2 Ft
B.100 + 50√2ft
C .50√2 ft
D. 150√2 ft​

Answers

Answer:

b

Step-by-step explanation:

the awnser was c for me on my test but i guess it and got it right.

Suppose you are facing north, each time you turn, you are going to turn 90 degrees. If you turn 2 times to the right, 1 time to the left, 3 times to the right, 2 times to the right, and 1 time to the left, which way are you now facing?

Answers

Answer:

East

Step-by-step explanation:

Starting position = North

Condition = each time you turn, you are going to turn 90 degrees

Using the image attached as a guide;

If you turn 2 times to the right

- Turning the first time to the right changes the direction to East

- Turning the second time to the right changes the direction to South

1 time to the left

- Turning once to the left changes the direction to East

3 times to the right

- Turning the first time to the right changes the direction to South

- Turning the second time to the right changes the direction to West

- Turning the second time to the right changes the direction to North

2 times to the right

- Turning the first time to the right changes the direction to East

- Turning the second time to the right changes the direction to South

1 time to the left

- Turning once to the left changes the direction to East

Simplify the following expression. 3(2x + 7)

Answers

Answer:

6x+21

Step-by-step explanation:

3(2x+7)

3 multiply both 2x and 7

6x+21

hope it's helpful ❤❤❤❤❤

THANK YOU.

There are 780 registered voters in Cloud County. In the last election, 40% of the registered voters actually voted. How many people in Cloud County voted in the last election?

Answers

The answer will be “40% of 780=312”

Does anyone know if im correct on this!?!?

Answers

Answer:

You are correct.

Step-by-step explanation:

The steps indicate clear method for the final answer.

Answer:

you are correct

Step-by-step explanation:

If 1+1=2 and 2 + 10 = 12 then what does W equal? Lol some easy math for y’all cuties 12 x W = 600

Also , after Uraraka confesses to Bakugou :

Answers

Answer:

lol W = 50 im pretty sure-

bakugou is out of my league so go ahead uraraka :')

Calculate angle y
Can somebody work this out?

Answers

Answer:

y = 110

Step-by-step explanation:

ABCD is a cyclic quadrilateral ( its vertices are on the circle )

The opposite angles are supplementary, sum to 180° , then

∠ C = 180° - 70° = 110° , thus

y = 110

pls answer this one

By prime factorisation method factorize 400 and find the sum of prime numbers involved.

Answers

Step-by-step explanation:

PLS MARK ME AS BRAIN LIST ANSWER

the points (3,48) and 5,768) lie on the graph of an exponential function. write the equation in exponential form. Must explain or I'll report! answer asap!

Answers

Answer:

y = 3/4*4ˣ

Step-by-step explanation:

The function is:

y = abˣ

Substitute the values from the given points and solve for b:

48 = ab³768 = ab⁵

Divide the second equation by the first one:

768/48 = ab⁵/ab³b² = 16b = 4

Find a using the first equation:

48 = a*4³a = 48/64a = 3/4

The function is:

y = 3/4*4ˣ

24-10x=9
What does x equal to?

Answers

X=1.5 also report other dude he put anything

75% of b is 11 what is b

Answers

Answer:

14.67

Step-by-step explanation:

14.67 because you take 100 times 11 to get 1100. Then you divide 1100 by 75 to get the answer

In triangle ABC, the measure of C is 90°,
AC=24, and BC=10. What is the value of sin
A?

Answers

Answer:

Sin A = 0.38462

Step-by-step explanation:

From the trigonometric function,

Sin A = [tex]\frac{Opposite}{Hypotenuse}[/tex]  ................... 1

So that, applying the Pythagoras theorem to determine the value of hypotenuse,

[tex]/Hyp/^{2}[/tex] = [tex]/Opp/^{2}[/tex] + [tex]/Adj/^{2}[/tex]

            = [tex]24^{2}[/tex] + [tex]10^{2}[/tex]

            = 576 + 100

[tex]/Hyp/^{2}[/tex] = 676

Hyp = [tex]\sqrt{676}[/tex]

       = 26

The hypotenuse of the triangle is 26.

Thus, from equation 1;

Sin A = [tex]\frac{10}{26}[/tex]

Sin A = 0.38462

Workout 2/7+1/5 and then simplyfy it

Answers

Answer:17/35

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(2/7, 1/5) = 35

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(2/7x5/5)+(1/5x7/7)=?

Complete the multiplication and the equation becomes

10/35+7/35=?

The two fractions now have like denominators so you can add the numerators.

Then:10+7

         ——- =17/35

            3

This fraction cannot be reduced.

Therefore:2/7+1/5=17/35

the school nurse is packing first aid kits. the ratio of bandages to gloves is 9:2. if she has 48 gloves, how many bandages will she need to make it complete kits

A. 216
B. 11
C. 3
D.96​

Answers

Answer:

A

Step-by-step explanation:

48*9 =432

432/2=216

A. Because if the ratio is 9:2 2 times 24 equals to 48 so 9 times 24 equals to 216

6-(y-2) What is the answer?

Answers

Answer:

-y+8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

6-y+2=0

8-x=0

-x=-8

x=8

To pass inspection, a new basketball should bounce back to between 68% and 75% of the starting height. A new ball is dropped from 6 feet and bounces back 4 feet 1 inch. does the ball pass inspection? Explain

To pass inspection, the ball must bounce back to between 68% and 75% of the starting height. written as a decimal, the ball must bounce between a low of __ feet and height of __ feet.

Answers

Answer: Yes, it does. It must bounce of a low of 4.08 feet and a high of 4.5 feet

Step-by-step explanation:

If you have a jumbo pack of gum and 4 friends ask for 8 How much gum do you have left?

(random questions)

Answers

Answer:

5

Step-by-step explanation:

37 - 4(8)

37 - 32

5

Hope this helps! May I please have brainliest? :)

Answer:

solution given:

total pack of gum=x gums

If 4 friends ask for 8=8×4gum= 32gums

Remaining gums=x-32gums

Pls help! I think this is do today.

Answers

C and E. I hope this helps :)
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