The area of a rectangle is 56 square yards. Its length is 2 yards more than three times its width. Find its dimensions

Answers

Answer 1
Its a quadratic. Since x cant be a negative number i used the x=4 answer to plug into the length and width
The Area Of A Rectangle Is 56 Square Yards. Its Length Is 2 Yards More Than Three Times Its Width. Find
Answer 2

The width is 4 and length is 14 yards

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Area of rectangle= 56 square yards.

let the width be x.

So, length = 3x+ 2

So, Area of rectangle= 56 square yards.

length x width = 56

x(3x+2 )= 56

3x² + 2x -56= 0

3x² +  -56= 0

3x( x - 4 ) + 14 ( x - 4) = 0

(3x+ 14) (x- 4) = 0

x= 4, -14/3

Hence, the width is 4 and length is 14 yards.

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Related Questions

Fiona is driving through the twin at a rate of 30 feet per second . Which graph could represent the relationship between the time , in seconds , and the distance , in feet, that Fiona drives through town


If you hurry I’ll mark you brainliest

Answers

Answer:

B

Step-by-step explanation:

B] The rate of feet per a second is 30 therefore it is B.

Write a real life scenario that is represented by the integer -120.

Answers

Answer:

I'm making this up seems possible in life

Step-by-step explanation:

I had $0 in my bank account. I really wanted this jacket but it costs 120. I bought it anyways telling the bank I would pay them back. Now I have -120 dollar in my bank account.

Answer:

Tammie had started a fund-raising project and every time $120 was deposited it will e given to the less privileged.

So, she got her first $120 that was deposited from a boy into the account, and it was taken withdrawn 2 days later, and given to the less privileged.

Step-by-step explanation:

Brainiest

The table shows the cost for ordering a certain number of t-shirts. Which of the following represents the value of x if the cost is proportional to the number of t-shirts ordered?

Answers

Answer:

52.50

Step-by-step explanation:

Maurice took out an auto loan of $3200 for 6 months. The
simple annual rate was 18%. How much interest did he pay
on his loan?
$3488
OS288
S3456
S600
6
7
8
9
10

Answers

Answer:

$288

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 18%/100 = 0.18 per year,

then, solving our equation

I = 3200 × 0.18 × 0.5 = 288

I = $ 288.00

The simple interest accumulated

on a principal of $ 3,200.00

at a rate of 18% per year

for 0.5 years is $ 288.00.

The percent increase from 18 to 26?

Answers

The answer is 44.44444444 percent

Find the first three iterates of the function f(z) = z2 + c with a value of c = 2 - 3i and an initial value of z0 = 1 + 2i.
a.
-1 + i, 2 - 3i, -17 - 29i
c.
1 + i, 2 + 3i, -17 - 29i
b.
-1 + i, 2 - 5i, -19 - 23i
d.
1 + i, 2 + 3i, -19 - 23i

Answers

Answer:

C

Step-by-step explanation:

We have: (I rewrote the function)

[tex]f(z_n)={z_{n-1}} ^2+c[/tex]

Given that:

[tex]\displaystyle c=2-3i \text{ and } z_0 = 1 + 2 i[/tex]

The first iterate will be:

[tex]\displaystyle \begin{aligned} f(z_1)&=(z_0)^2+c \\ &=(1+2i)^2+(2-3i) \\ &= (1+4i+4i^2)+(2-3i) \\ &=1+4i-4+2-3i \\ &=-1+i \end{aligned}[/tex]

The second iterate will be:

[tex]\begin{aligned}f(z_2) &=(z_1)^2+c\\ &=(-1+i)^2+(2-3i) \\&= (1-2i+i^2)+(2-3i) \\&=1-2i-1+2-3i \\&=2-5i \end{aligned}[/tex]

And the third iterate will be:

[tex]\begin{aligned} f(z_3)&=(z_2)^2+c\\ &=(2-5i)^2+(2-3i) \\ &=(4-20i+25i^2)+(2-3i) \\ &=4-20i-25+2-3i \\ &=-19-23i \end{aligned}[/tex]

Hence, our answer is C.

A polynomial p has zeros when x=5, x=-1 and x=-1/4

What could be the equation of p?
PLEASE HELP

Answers

Option B: p(x) = (x - 5)(x + 1)(4x + 1)

You have zeroes when each set of parenthesis equals zero.

x - 5 = 0
Add 5
x = 5

x + 1 = 0
Subtract 1
x = -1

4x + 1 = 0
Subtract 1
4x = -1
Divide 4
x = -1/4

The polynomial is given as f(x) = (x - 5)(x + 1)(4x + 1).  

What is a polynomial? What is a mathematical equation? What do you mean by domain and range of a function?In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An example of a polynomial of a single indeterminate [x] is

        f(x) = x² − 4x + 7.

A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

Given is a polynomial with zeroes -

x = 5, x = - 1 and x = - 1/4

The given zeroes are -

x = 5

      (x - 5) = 0

x = - 1

       (x + 1) = 0

x = - 1/4

       4x = - 1

       (4x + 1) = 0

So, we can write the polynomial as -

f(x) = (x - 5)(x + 1)(4x + 1)  

Therefore, the polynomial is given as f(x) = (x - 5)(x + 1)(4x + 1).  

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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The ratio of a rectangle's width to length is 3:4. The area of the rectangle is 432 square feet. Find the length and width of
the rectangle

Answers

Answer:

36...? After doing all of the incorrect math.. I got 36. Sry if it's wrong.

Step-by-step explanation:

I suck at math. :/

I dont know if this is right, help plss

Answers

Yes.................

Can someone help me out please??​

Answers

Answer:

26 and 27

Step-by-step explanation:

How many solutions does the system have?
8x + 2y = 14
8x + 2y = 4

Answers

Answer:

0 solutions

Step-by-step explanation:

8x + 2y = 14

8x + 2y = 4  

4 not equal to 14

answer plsss i need help on this question

Answers

Answer:

3a^5/4b^5

Step-by-step explanation:

The answer you have selected! :)

Answer:

It should be D

Step-by-step explanation:

Umm the ^2 and ^-2 cancel each other out and so do the ^3 and ^-3 and then all you have to do is simply simplify 6/8 = 3/4 bc half of 6 is 3 and half of 8 is 4

What two numbers multiply to 6 & add up to 8

Answers

Answer: 2+4=6, and 2*4=8.

Step-by-step explanation:

Answer:

2 and 4

Step-by-step explanation:

convert the equation 10x - 3y= -15 into slope intercept form​

Answers

Answer:

y = -10/3x - 5

Step-by-step explanation:

slope intercept form:

y = mx + b

10x - 3y = -15

subtract 10x from both sides of the equation

10x - 10x - 3y = -15 - 10x

3y = -15 - 10x

3y = -10x - 15

divide the equation by 3

3y/3 = -10x/3 - 15/3

y = - 10x/3 - 5

Mini earn 6% commission on each how she sells if she sells her house for $180,000 how much does she earn in commission

Answers

Answer:

10800

Step-by-step explanation:

100% -> 180000

6%-> 10800

What is the common ratio for the sequence: 28, 14, 7, 3.5, ...

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

28(1/2)=14

14(1/2)=7

7(1/2)=3.5

plz mark me brainliest. :)

This circle is centered at the origin, and the length of its radius
is 4. What is the circle's equation?

Answers

The circle equation is 5
Answer: x^2 + y^2 = 16

very very very URGENTTT!!!

Answers

Answer:

its d

Step-by-step explanation:

the arc length is equal to (radius x 2 x angles (60)) divided by 360 which comes to equal 8/3 then you multiply by pi

Based on the scatter plot, which is the best prediction of the number of gallons of water used by this business when the cost of water is $180

Answers

Answer:its c

Step-by-step explanation:

because i did that test and got a A+

Which story below could represent the expression 5 +(-15)

A. The temperature was 15º at lunchtime then went up 5º.
B. The temperature was 5º at lunchtime then went down 15°.
C. A boy had $15 then spent $5.
D. A boy had $5 then earned $15.

Answers

Answer:

5+(-15) is the given equation. We need to find the matching problem.

First, we need to identify each problem's equation.

A: 15+5

B: 5-15

C: 15-5

D: 5+(15)

I believe the answer is D, it happens to be closest to our given equation.

~Hope this helps~

Write 14⁠ 7/9 % as a fraction.

Answers

Answer:

The answer is 133/900

Step-by-step explanation:

BECAUSE I SAID SO LOL

Answer:

To write 14.7 as a fraction you have to write 14.7 as the numerator and put 1 as the denominator. Now you multiply the numerator and denominator by 10 as long as you get in the numerator the whole number.

14.7 = 14.7/1 = 147/10

And finally, we have:

14.7 as a fraction equals 147/10

Step-by-step explanation:

i am confused please help

Answers

Answer:

3 tiles will not fit together.

Step-by-step explanation:

Measure of an Interior angle of a polygon = [tex]\frac{(n-2)\times 180}{n}[/tex]

Here, n = number of sides of the polygon

Therefore, measure of the interior angles of a regular hexagon,

A = [tex]\frac{(6-2)\times 180}{6}[/tex]

A = 120°

Similarly, interior angle of the regular pentagon,

B = [tex]\frac{(5-2)\times 180}{5}[/tex]

B = 108°

Now m∠A + m∠B + m∠C = 360°

m∠C = 360° - (120° + 108°)

        = 132°

To fit the given three tiles perfectly, interior angle (∠D) of the third Octagonal tile should be 132°.

D = [tex]\frac{(8-2)\times 180}{8}[/tex]

D = 135°

m∠C ≠ m∠D

Therefore, 3 tiles will not fit together.

plz help i relly need help with this

Answers

Answer:

B

Step-by-step explanation:

5(4)-2(1)=

20-2=

18

Answer:

B

Step-by-step explanation:

There are many answers not just one. I need help

Answers

Answer:

I think 1 and 5

Step-by-step explanation:

Answer:

it's 3/4 feet

Step-by-step explanation:

shown. A 12 foot ladder is leaning against a house to form angle x. The distance between the house and the bottom of the ladder is 4 feet. The angle between the house and the ground is 90 degrees. What is the value of x, rounded to the nearest degree? x ≈ ° According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards. Is this ladder being used safely?

Answers

Answer:

Part A

71°

Part B

The ladder is been used safely

Step-by-step explanation:

Part A

We solve the above question using Trigonometric function of Cosine

cos x = Adjacent/Hypotenuse

Adjacent = The distance between the house and the bottom of the ladder = 4 feet

Hypotenuse = Length of the ladder = 12 feet

x = Angle

Hence:

cos x = 4/12

cos x = 1/3

x = arc cos (1/3)

x = 70.528779366°

Approximately to the nearest degree

= 71°

Part B

According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards. Is this ladder being used safely?

Angle x = 71°

Therefore, the ladder is been used safely

rate of change y=15x+20

Answers

Answer:

its 15

Step-by-step explanation:

Find p(-2) if p(x)=3x^3 -x^2 +2x-5. What does this tell you about the factors of p(x)

Answers

Answer:

[tex]\boxed{\textsf{ The value of the polynomial at p = (-2) is \textbf{ -37}.}}[/tex]

Step-by-step explanation:

A polynomial is given to us and we need to find its value at p = (-2) . The given polynomial is :-

[tex]\sf\implies p(x)= 3x^3 -x^2 +2x-5[/tex]

Also second part of the question says what does this tell about the factors of p(x) .

On putting p = (-2) :-

[tex]\sf \implies p(x)= 3x^3 -x^2 +2x-5 \\\\\sf\implies p(-2) = 3 (-2)^3-(-2)^2+2(-2)-5 \\\\\sf\implies p(-2)= 3\times (-8) -4 -4 -5 \\\\\sf\implies p(-2)=-24-4-4-5 \\\\\implies \boxed{ \pink{\sf p(-2)= (-37) }}[/tex]

Now this tells us that ( x + 2 ) is not a factor of the given polynomial. When we divide the given polynomial by (x + 2) then the remainder will be -37 .

PLEASE SOS WILL GIVE BRAINLSEIT

Answers

Answer:

yes

Step-by-step explanation:

it was very complicated for me but i got it bc i alr did that before

PLZZZ HELP ME PLZZ I AM BEGGING YOU I WILL GIVE BRAINLIEST

Answers

Answer:

1)  y = 2x - 5

2) y = -2/3x + 4

3) y = -2x - 11

4) y = -2 + 3

5) y = 4/3x - 9

6) y = 1/4x - 2

Step-by-step explanation:

Sorry if any wrong

Answer:

go search m  a t h w a y it will give you the answer and how did they get the answer

Step-by-step explanation:

Charlie is thinking about buying a game for his Xbox that cost $60 and requires a subscription to basic Xbox live that cost $10 per month he could choose to upgrade his Xbox live membership and then the game will be included but that membership is $15 a month how many months would Charlie have the game before the cost of the two is the same?​

Answers

Answer:

by 12 months both prices will be 180.

Step-by-step explanation:

If you take 12 and multiply it by 10 because that is the monthly subscription, you will get 120 + 60 for the game which equals 180. But if you take 12 and multiply it by 15 you will also get 180.

Hope this helps

Answer: by 12 months both prices will be 180.

Step-by-step explanation:

If you take 12 and multiply it by 10 because that is the monthly subscription, you will get 120 + 60 for the game which equals 180. But if you take 12 and multiply it by 15 you will also get 180.

Yw.

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