what is the mathematical sentence of "the length of wooden frame is 1foot longer than it's width and it's area is equal to 12ft²" can you translate it into quadratic equation in terms of "x"?

Answers

Answer 1

Answer:

x²+x+12 = 0

Step-by-step explanation:

Area if the wooden frame = ,Length ×Width

A = LW

If the length of wooden frame is 1foot longer than it's width, then;

L = W+1

Given

A = 12ft²

Substitute the derived and given parameters into the formula to have;

P = (W+1)W

12 = (W+1)W

Open the parentheses

12 = W²+W

Subtract 12 from both sides

12-12 = W²+W -12

0 = W²+W-12

Rearrange

W²+W-12 = 0

If W = x

The quadratic equation becomes:

x²+x+12 = 0


Related Questions

Need help filling out the chart for #3

Answers

Answer:

Slope intercept equation= y2-y1 over x2-x1

When to use= You know the slope and any point

What is the value of 120?

Answers

It would be -1/2 I think
the answer is -1/2. have a good day!

What algebraic expression could represent the average of 2x, x + 3, and 6x?

Answers

Answer:

3x+1

Step-by-step explanation:

(2x+x+3+6x)/3

9x+3/3

3x+1

The final result is a simplified algebraic expression 3x + 1 that represents the average of 2x, x + 3, and 6x.

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The average of 2x, x + 3, and 6x can be represented by the algebraic expression (2x + (x + 3) + 6x)/3.

This expression takes the sum of 2x, x + 3, and 6x, and then divides that sum by 3, which is the number of terms being averaged.

Alternatively, the average can be represented by (2x + x + 6x + 3) / 3 = (9x + 3) / 3 = 3x + 1.

In either case, the final result is a simplified algebraic expression that represents the average of 2x, x + 3, and 6x.

Learn more about Expressions here :

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Which statement about the lines below is true? 4y=-16 and 3x=27

Answers

Answer:

4y=16 is true if you do the problem you can see it wont work and i simplified and got the answer

Step-by-step explanation:

Which word best describes the element in box number 2?
a Brittle
b. Gas
С Semiconductor
d. Shiny

Answers

the correct answer is c. hope this helped

What else would need to be congruent to show that ABC is congruent to DEF by ASA?​

Answers

Answer:

D

Step-by-step explanation:

Angle Side Angle

Which pairs of numbers have a greatest common factor of 9

Answers

Answer:

81 and 72

Step-by-step explanation:

Answer:

81 and 72

Step-by-step explanation:

Helppppp Meeeeee !!!!!!!!!

Answers

Answer:

a) draw the triangle using the graph points

b) move the triangle 3 points to the left and 1 point down

c) translation

d) draw this shape

e) write down the coordinates

Step-by-step explanation:

The x-3 in translation tells you to move 3 squares to the left along the x axis in translation and y-1 tells you to move down one on the y axis.

Find the arc length

Answers

Answer:

Step-by-step explanation:

Arc length = 1/4 * circumference

Circumference = 2*pi*r = 2*pi*10 = 20pi

Arc length = 1/4 * 20pi = 5pi

which of these is correct? will give brainliest C:

Answers

Answer:

$7.50/lb    answer A is correct

Step-by-step explanation:

Find the unit cost:  $ per pound:

 Calculate

      $3.00

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

   (2/5) lb

It's slightly easier to calculate the equivalent

 $3.00

------------- = $7.50/lb    answer A is correct

 0.4 lb

Answer: D. $1.20 per pound

Step-by-step explanation:

Because 2/5= 0.4 in a decimal form.

If you multiply 0.4 times 3= 1.2 just that in D they are adding a zero (0).

1.20= 1.2

Write two hundred twenty-two and six thousand five hundred seventeen ten-thousandths as a decimal number.

Answers

Answer:

222.617

Step-by-step explanation:

Which inequalities are true? Select the four correct answers


Will mark Brainiest

Answers

Answer:

see below

Step-by-step explanation:

1.    0 < √8 = true

2.   √8 < 3 = true

3.   √8 > √7 = true

4.   √8 < 2 = false

5.   √8 > 8 = false

6.    1 < √8 = true

Inequalities help us to compare two unequal expressions. The inequalities that are true are 1, 2, 3 and 6.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The value of √8 is equal to 2.828427, therefore, the inequalities that are true are,

0 < √8√8 < 3√8 > √71 < √8

Hence, the inequalities that are true are 1, 2, 3 and 6.

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(x - 3)? > -3(x + 2) for x = 3

Answers

Answer:

The Left side (0) is greater then the right side (-15)

Step-by-step explanation:

(x - 3) is greater than -3(3+2)

simplify show your work

Answers

4(1-3x)+7x-8

4-12x+7x-8

-12x+7x+4-8

-5x-4

The answer is -5x-4

Could you give me the brainlist?

````````````````````````````````````````````````````````````````````````````````````````````

Answers

Answer:

14 miles

Step-by-step explanation:

make it into an equation 1.50x+3=24 then solve

Putang ina mo gago ka

A pack of gum costs $2.95. If it holds 12 sticks of gum, about how much would one individual stick of gum cost?
A $0.05
$4.00
$0.40
D $0.25
E $3.60

Answers

Answer:

$0. 25

Step-by-step explanation:

2. 95 ÷ 12 = 0.24583333

Round the number and you would get

0. 25

Answer:

D. $0.25

Step-by-step explanation:

the whole pack costs $2.95 and there are 12 sticks, so you divide the total cost ($2.95) by the amount of sticks (12) and get the answer $0.2458, or $0.25 rounded up. :)

Robert conducts an experiment to measure the temperature of a solution. Due to a defect in the apparatus, the temperature of the solution measured in each trial is 5°F more or less than the theoretical temperature of 11°F of the solution.

The following absolute value equation can be used to determine the temperature of the solution measured by Robert:

|x − 11| = 5.

Here, x represents the measured temperature of the solution in degrees Fahrenheit.

Based on the above information, what is the temperature of the solution as measured by Robert?

A.
The temperature of the solution measured by Robert is 5°F or 6°F.
B.
The temperature of the solution measured by Robert is -6°F or 6°F.
C.
The temperature of the solution measured by Robert is -6°F or -16°F.
D.
The temperature of the solution measured by Robert is 16°F or 6°F.

Answers

the answer to this question is d

I need help with number 1 I don’t understand I’ll give BRAINLIEST to whoever helps me the best

Answers

B. 200, rounded answer since it was 199.9

Answer:

The answer is B.200

Step-by-step explanation:

145.93×1.37=199.9

We need to multiply because the second team takes the times as longer than the first team. The answer is 200 because we need to roundup 199.9 into 200

Hope it helps :)

ASAP PLZ HELP
A car traveling 65 kilometers per hour travels 195 kilometers. How long did it take the care to travel that distance at that speed?

Answers

Answer:hope it helps,

Step-by-step explanation:

If the pth term of an A.P. is q and the qth term is p. Prove that its nth term is (p+q-n). ​

Answers

Given:

pth term of an AP = q

qth term = p

Prove:

nth term of A.P. is (p+q-n). ​

Proof:

We know that,

nth term of an AP (an) = a + (n - 1)d

Hence,

⟹ a + (p - 1)d = q

⟹ a + pd - d = q

⟹ a = q - pd + d -- equation (1)

Similarly,

⟹ a + (q - 1)d = p

Substitute the value of a from equation (1).

⟹ q - pd + d + qd - d = p

⟹ qd - pd = p - q

⟹ - d(p - q) = p - q

⟹ - d = 1

⟹ d = - 1

Substitute the value of d in equation (1).

⟹ a = q - p( - 1) + ( - 1)

⟹ a = q + p - 1

Now,

an = q + p - 1 + (n - 1)( - 1)

⟹ an = q + p - 1 - n + 1

⟹ an = p + q - n

Hence, Proved.

I hope it will help you.

Regards.

Step-by-step explanation:

ANSWER

pth term = q

a+(p−1)d=q

qth term = p

a+(q−1)d=p

Solving these equations, we get,

d=−1

a=(p+q−1)

Thus,

nth term = a+(n−1)d=(p+q−1)+(n−1)×(−1)=(p+q−n)

Which values are outliers?

5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9

Answers

0.8 Outlier

1.1 Outlier

10.2 Not Outlier

10.9 Not Outlier  

Which number is rational, an integer, and a real number?
A. 1.5
B.
C. There is no such nurnber.
D. -5

Answers

Answer:
1.5

Explanation:

if 60% people in a city like cricket 30% like football and the remaining like other games
. 50 . ​

Answers

Answer:

is that supposed to be a question

Write the equation of the line that passes through the given points.
(0,4) and (5,10)

Answers

Answer: y = 6/5x + 4

Step-by-step explanation: The equation is in form y = mx + b, where m is the slope and b is the y-intercept. You already have the y-intercept, which is 4. To find the slope, use rise over run. y2 - y1 / x2 - x1 = 10-4/5-0 = 6/5.

True or False: These two equations are equivalent
5x + 18 = 32
18 = 80

Answers

I think it would be true ?

How many different four-digit alarm codes can be formed for a house alarm if
digits cannot be repeated?

Answers

Answer:

about 3000

Step-by-step explanation:

3x + 9 = 2x + 5
One Solution
No Solution
All real numbers

Answers

One solution (x= -4)
The answer is One solution x=-4

true or false: an cubic function may have 3 irrational zeros

Answers

Answer: True

The key word here is "may" meaning that we could easily have 3 rational roots as well. An example of a cubic having 3 irrational roots would be

(x-1)(x-2)(x-3) = x³ - 6x² + 11x - 6

This has the rational roots x = 1, x = 2, x = 3.

However, we could easily replace 1,2,3 with any irrational numbers we want. So that's why the statement "a cubic has three irrational roots" is sometimes true.

In some cases, a cubic may only have 1 real root and the other 2 roots are imaginary.

Give another name for line JK.

Answers

Answer:

indecsaty

Step-by-step explanation:

the indecsaty of the line more known as a slope is the other name

Colin predicted whether he got answers right or wrong in his 50 question exam. He identified the 8 questions he thought he got wrong. It turns out that Colin got 5 questions right that he thought he got wrong. Colin also got a total score of 45 out of 50 in the test. What is the percentage accuracy he had with predicting his scores?

Answers

Total questions, T = 50.

Colin thought 8 questions were right.

Colin got 5 questions right that he thought he got wrong.

Total score, s = 45.

So, actual number of questions which are wrong are 5.

Score according to him = 50 - 8 = 42.

Now, we know percentage accuracy is given by :

[tex]\% =100- \dfrac{|Actual\ value-Theoretical\ value|}{Actual\ Vlaue}\times 100\\\\\%=100-\dfrac{|45-42|}{42}\times 100\\\\\%=100-7.14 \%\\\\\%=92.86\%[/tex]

Therefore, percentage accuracy he had with predicting his scores is 92.86%.

Hence, this is the required solution.

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