The length of a rectangle is 1 m less than twice the width, and the area of the rectangle is 21 m?. Find the dimensions of the rectangle.

Answers

Answer 1

Answer:

length = 6

width = 3 1/2

Step-by-step explanation:

l = length

w = width

l = 2w-1

w(2w-1) = 21

2w² - 1 - 21 = 0

(2w - 7)(w + 3) = 0

w = 7/2 = 3 1/2

find 'l':  l = 2(7/2) - 1 = 7-1 = 6


Related Questions

You start at (9, 3). You move down 3 units. Where do you end?

Answers

Answer:

9,6 good luck with the answer

answer: (9,0). bc moving down is in the y axis. subtract 3 from (9,3) and it equals (9,0)

Challenge: Jasmine needs 300 centimeters of fabric to make her new dress. The fabric costs $5 for each meter. How much will her fabric cost to make the dress?

Answers

Answer: $15

Step-by-step explanation:

Jasmine needs 300 centimeters

$5 each meter

The first step you need to do is convert 300 centimeters to meters, because it’s $5 for each meter.

(You can use the King Henry Chart to help you)

So, 1 centimeter is 1/100 meter

How much is 300 centimeters in meters?

300x1/100

= 300/100

=3

300 cm= 3m

Now, there is $5 for each meter.

How much does it cost for 3 meters?

= 5x3

= $15

It will cost her $15

Multiply (a-b) by (2b-a).

Answers

Answer:

-2b(a) - a^2 -2b^2

Step-by-step explanation:

Just use the 'foil' method, meaning that you multiply the first number of one part (a), to the first and second to the next part (2b, -a)

Then, multiply the second number of that part (-b), to the first and to the next part (2b, -a)

You would get: -2b(a) - a^2 -2b^2

Multiplication is the process of multiplying. The multiplication of (a-b) by (2b-a) results in 3ab-a²-2b².

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

An expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context. The multiplication of the two given expressions (a-b) and (2b-a) can be done as shown below,

(a-b) × (2b-a)

= a(2b-a) -b(2b-a)

= (a × 2b) - (a × a) - (b × 2b) + (b × a)

= 2ab - a² - 2b² + ab

=  -a² -2b² + 3ab

= 3ab -a² -2b²

Hence, the multiplication of (a-b) by (2b-a) results in 3ab-a²-2b².

Learn more about Multiplication here:

https://brainly.com/question/14059007

#SPJ2

What is 4 and 3/4 - 1 and 1/3? The answer is one of these: 2 and 2/7, 2 and 2/12, 3 and 5/12, or 3 and 5/7

Answers

Answer:

3 and 5/12

Step-by-step explanation:

[tex]4 \frac{3}{4} = \frac{19}{4}\\ \\1\frac{1}{3} = \frac{4}{3}[/tex]

[tex]\frac{19}{4} - \frac{4}{3} \\\\\frac{19(3) - 4(4)}{12} \\\\\frac{57 - 16}{12} \\\\\frac{41}{12} \\[/tex]

This fraction is equivalent to,

[tex]3 and 5/12 = 3\frac{5}{12} = \frac{12*3 + 5}{12} = \frac{41}{12}[/tex]

Gayle graphs the parabola (y + 1)2 = 12 (x – 3). How does she proceed? Drag a value, coordinates, equation, or word to the boxes to correctly complete the statements. Gayle identifies that the vertex of the parabola is The parabola opens and the focus is units away from the vertex. 1 The directrix is units from the focus. The focus is the point The directrix of the equation is TE <​

Answers

Answer:

1. (3,-1)

2. Right

3. 3

4. 6

5. (6,-1)

6. x=0

Explanation: Took the test

Answer:

Step-by-step explanation:

The measures of the three angles of a
triangle are given by 2x + 6, x, and 3x.
What is the measure of the largest angle?

Answers

Answer:

[tex]\boxed {\boxed {\sf 87 \ degrees}}[/tex]

Step-by-step explanation:

The angles in a triangle must add to 180 degrees.

We are given three angles: 2x+6, x, and 3x. Their sum must be 180, so we can create an equation.

[tex]2x+6+x+3x=180[/tex]

Combine like terms (all terms with an x) on the left side.

[tex](2x+x+3x)+6=180[/tex]

[tex]6x+6=180[/tex]

Now solve for x by isolating the variable.

6 is being added and the inverse of addition is subtraction. Subtract 6 from both sides.

[tex]6x+6-6=180-6\\6x=174\\[/tex]

x is being multiplied by 6. The inverse of multiplication is division. Divide both sides by 6.

[tex]6x/6=174/6 \\x=29[/tex]

Substitute 29 for x in the angle measures.

2x+6= 2(29)+6=58+6=64x=29 3x= 3(29)=87

The largest angle is 87 degrees.

A circle is centered at K(0,0)K(0,0)K, left parenthesis, 0, comma, 0, right parenthesis. The point U(6,-4)U(6,−4)U, left parenthesis, 6, comma, minus, 4, right parenthesis is on the circle.
Where does the point V(\sqrt{2},-7)V(
2

,−7)V, left parenthesis, square root of, 2, end square root, comma, minus, 7, right parenthesis lie?

Answers

Answer:

inside the circle

Step-by-step explanation:

Khan Academy

plss help i’ll give brainliest thank you!

Answers

Answer:

The absolute value of -9 is less than 9 I'm pretty sure

which is the solution set for the quadratic equation x^2-9=0

Answers

Answer:  x = 3 and x = -3

===================================================

Explanation:

We could add 9 to both sides, and then apply the square root to both sides. Don't forget about the plus minus

x^2 - 9 = 0

x^2 = 9

x = sqrt(9) or x = -sqrt(9)

x = 3 or x = -3

To check these answers, you replace x with those values we found. I'll show you how to check x = 3

x^2 - 9 = 0

(3)^2 - 9 = 0

9 - 9 = 0

0 = 0

So that confirms x = 3. The confirmation for x = -3 is nearly the same. Keep in mind that (-3)^2 = (-3)(-3) = 9. You'll be squaring the negative as well.

------------------

Another method you could do is to use the difference of squares rule

x^2 - 9 = 0

x^2 - 3^2 = 0

(x - 3)(x + 3) = 0

Now apply the zero product property. This effectively means you set each factor equal to zero and solve for x

x-3 = 0 or x+3 = 0

x = 3 or x = -3

We end up with the same solution set.

Yet another method you could use is the quadratic formula, but that may be overkill. It's still good practice to do.

Graphing is a visual way to find the answers. You'll graph y = x^2 - 9 and look to see where the curve crosses or touches the horizontal x axis.

can someone please help!
find the minimum value of the function f(x)=0.2x^2-x+5.2
to the nearest hundredth.

Answers

Answer:

min f(x) = 3.95  (for x= 2.5)

Step-by-step explanation:

vertex (x) = 1/0,4 = 2,5

vertex (y) = 0.2(2.5)^2-2.5+5.2 = 3.95

What is the greatest common factor of 5xy and 20x

Answers

Answer:

5x

Step-by-step explanation:

Please help me out, right answers are favored ​

Answers

Answer:

y<_19x-11

Step-by-step explanation:

<_ it means less than and equal too hope it helps

-5x + 4y = 7
-5x - 3y = -14

Answers

Answer:

1. x = [tex]\frac{4}{5}y + \frac{-7}{5}[/tex]

2. x = [tex]\frac{-3}{5}y + \frac{14}{5}[/tex]

Step-by-step explanation:

A car accelerates from rest to 25 miles per hour in 3.0 seconds. What was the car's
acceleration?

Answers

Answer:

The car's acceleration was 3.73 metre per second square = 3.73m/s²

Step-by-step explanation:

The car accelerated from rest.

initial velocity (u) = 0m/s

final velocity (v) = 25miles/hr = 11.2m/s

time (t) = 3s

a = ?

v = u+at

a = (v-u)/t

a = (11.2 - 0) / 3

a = 11.2/3

a = 3.73

a = 3.73m/s²

a

ILL GIVE BRAINLIEST! PLEASE HELP I DONT UNDERSTAND!
Use the arithmetic series formula to calculate the sum of the first 15 terms of the sequence: a n =5n+3

Answers

Answer:

S₁₅ = 645

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Using the nth term formula [tex]a_{n}[/tex] = 5n + 3 , then

a₁ = 5(1) + 3 = 5 + 3 = 8

a₂ = 5(2) + 3 = 10 + 3 = 13 , then

d = a₂ - a₁ = 13 - 8 = 5

Thus

S₁₅ = [tex]\frac{15}{2}[/tex] [ (2 × 8) + (14 × 5) ]

     = 7.5( 16 + 70)

     = 7.5 × 86

     = 645

Please help!!! : )))
Sorry it's flipped lol

Answers

Answer:

20-24

Step-by-step explanation:

you can see that when you find the middle of the total data the data set left is in the 20-24 category

hope this helps! :)

Find the sum of £1.98,87p and 23p write your answer in pounds £ write your answer in pence P

Answers

Answer:

Step-by-step explanation:

23+87+98=208

2.08+1=3.08

3.08-----> 308p

A CD usually sells for $17.00. If the CD is 20% off, and sales tax is 6%, what is the total price of the CD, including tax?
A.
$14.42
B.
$15.32
C.
$13.52
D.
$14.62

Answers

Answer:

14.42

Step-by-step explanation:

17.00 x .80  20% off means price is 80% (or .80) of price

=13.6

13.6 x .06 = .82 sales tax

13.60 + .82 = 14.42 sales price plus sales tax

is anybody can help me with this one?
[tex]5(1 + n) = 2n ^{2} - 2[/tex]

Answers

Answer:

n = -1 , 3.5

Step-by-step explanation:

Move the terms to the left side and set equal to zero. Then set each factor equal to 0

builder has some red and grey bricks. The red bricks weigh 7 kilograms each, and the grey bricks weigh 5 kilograms each. If the total weight of all 4 bricks is 22 kilograms, how many of each type of brick does Cara have?

​ red bricks

​ grey bricks
Please help!!!!

Answers

Answer:

3 grey and 1 red

Step-by-step explanation:

5 x 3 = 15

15 + 7 = 22

Please help!!! I’ll mark you as brainliest!!!

Answers

Ok I’ll break this down so it’s easier to understand:

So you start of with $80

The first step is to find 20% off

An easy way to find 20% is to divide it by 5.

80/5= 16

And since it’s 20% OFF we subtract 16 from 80

80-16= 64

Next we need to do the coupon

It is $5 off so

64-5= 59

And finally the rebate which is $2

59-2= 57

Answer:
57

Answer:

$57

Step-by-step explanation:

→ Do 20% of $80

( 20 × 80 ) ÷ 100 = 16

→ Add 5 to the previous answer

5 + 16 = 21

→ Add 2 to 21

2 + 21 = 23

→ Minus 23 from the total price

80 - 23 = $57

2^(4- )8+16 *2
simplify

Answers

Answer:

-32

Step-by-step explanation:

D Question 5 5) A bag contains colored paper clips. 2 clips are green 4 clips are orange 2 clips yellow A paper clip will be randomly selected from the bag. What is the probability in decimal form that the paper clip selected will be green?​

Answers

Answer:

0.125

green

Step-by-step explanation:

Since we know that there is 8 clips (2+2+4) and then we take 4/8 as a decimal and we then get 0.125

Answer: 0.25

Step-by-step explanation: 2+4+2=8 8clios in the bag and 2 are green, so 2/8 is the probability it will be a green selected. 2/8 in decimal form is 0.25

One Baseball Weigh 14.2 g how many grams would 100 baseballs weigh

Answers

Answer:

1,420 grams per 100 baseballs

Step-by-step explanation:

Set up an equation:

Variable x = grams per 100 baseballs

1/14.2 = 100/x

Cross multiply

1 × x = 14.2 × 100

1x = 1420

x = 1420

5/25=
what is this fraction equal to

Answers

1/5

Step-by-step explanation:

I have done this sir

Lee laaa

Answer:

1/5

Step-by-step explanation:

5/25 = ?

well so

5 x 5 = 25 so that means that there is 5 parts for each 1 whole

5/25 = 1/5

12. Find u · v for u = 3i + 4j and v = i - 2j

a.
[tex] \sqrt{5} [/tex]

b. -5
c. 10
d. 3i - 8j​

Answers

ANSWER: -3-2ji-8j^2

EXPLAINATION:

I dont know why that isn’t one of the answers but that’s what I got. You could try D.

MARK ME BRAINLIEST PLEASE

The total surface area of this triangular pyramid is_____?

help asap

Answers

Answer: 208 in^2

Step-by-step explanation:

find the surface area of the square base

8(8)=64

find the surface area of the 4 triangular lateral faces

SA=4(bh÷2)

4(8 x 9 ÷2)

4(36)=144

add the surface area of the square base and lateral faces

64+144=208

Don’t answer if you don’t know, it’s rude

Word search

Vertical, diagonal.horizontal,
backwards
I’ll appreciate if u find atleast 1

Answers

Answer:

down here :)

Step-by-step explanation:

Digits: Go to the last E in Greek alphabet, and go down three spaces. The word runs diagonally into the top right corner.

Fraction: Go one above the N in Repeating. runds up diagonally into the top left corner.

Select the ratio equivalent to tan (o)

Answers

Answer:

D.

tangent = opp over adj

Step-by-step explanation:

[tex]3\sqrt{x} -1\leq 12[/tex]

Answers

Answer:

0≤x≤169/9

Step-by-step explanation:

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