11. A. Four times a breadth of the room is equal to 3 times the length. If the breadth had been
1 meter more and the length 1 meter less the room would have been a square. Find the
dimension of room. ​

The equation of the line in the attached graph in slope intercept form is written as

The slope, m of the linear function is calculated using the points on the graph (1, -4) and  (2, -10)

m = (y₀ - y₁) / (x₀ - x₁)

plugging in the values and evaluating

m = (-10 + 4) / (2 - 1)

m = (-6) / (1)

m = -6

equation passing through point (2, -10), using the point slope formula

(y - y₁) = m (x - x₁)

y - (-10) = -6(x - 2)

y + 10 = -6x + 12

rearranging the equation

y = -6x + 12 - 10

y = -6x + 2

The equation of the line in slope intercept form is written as y = -6x + 2

Learn more about linear functions at:

https://brainly.com/question/30125370

#SPJ1

There is one way to implement a function in Python that takes in an array of integers and returns the smallest positive integer that does not occur in the array.

def smallest_missing_positive(a):

   #Create a set to store the unique elements in the array

   unique_set = set(a)

   #Iterate through the positive integers starting from 1

   for i in range(1, len(a) + 2):

       #If the current integer is not in the set, return it

       if i not in unique_set:

           return i

This function first converts the input array into a set, which removes any duplicate elements. It then iterates through the positive integers starting from 1 up to the length of the array plus 2. For each integer, it checks whether it is in the set of unique elements from the input array. If it is not, the function returns that integer as it is the smallest positive integer that does not occur in the array.

For example, when the function is called with the input array [1, 3, 6, 4, 1, 2], it will return 5 as it is the first missing positive number.

You can also use a set and difference() method of set to check the missing elements from 1 to maximum element of array+1 and find the missing first one, this method is more efficient than the above one when the array is large.

To know more on loop in python

https://brainly.com/question/30097085

#SPJ4

Answer:

x= 55°

y=70°

z= 35°

Step-by-step explanation:

.................

Answer:

x = 45°

y = 70°

z = 25°

Hope this helps!

Answer:

y=30, x=10

Step-by-step explanation:

[tex]3y=90 (angle in a semi circle),\\y=\frac{90}{3} =30,\\50+4x=90 ,\\4x=90-50=40,\\x=\frac{40}{4} = 10 , }[/tex]

x+y=10 and ax+0.50y=25 are the system of equations to compute the cost of each mechanical pencil.

Two or more expressions with an Equal sign is called as Equation.

Given that Mr. Spears was purchasing supplies for his math classroom.

He had $25 to spend.

Mechanical pencils and erasers come in bundles of 10

Let x represents the Mechanical pencils

y represents the erasers

x+y=10

y=10-x

Each eraser costs $0.50

ax+0.50y=25

a is the cost of the each mechanical pencil.

Hence, x+y=10 and ax+0.50y=25 are the system of equations to compute the cost of each mechanical pencil.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

The polynomials which, when added to the polynomial 3x²+3x-1, is equivalent to the following expressions: 1, 2x²-3, and x+5 include the following below:

This is referred to as algebraic expressions that consist of variables and coefficients.

For 1; it is calculated as:

3x²+3x-1 + P = 1.

P = 2 - 3x² -3x.

For 2x²-3, it is calculated as:

3x²+3x-1 + P = 2x²-3

P = -2 -x² -3x

For x +5; it is calculated as:

3x²+3x-1 + P = x +5

P = 6 -2x -3x².

Read more about Polynomial here https://brainly.com/question/2833285

#SPJ1

The full question is:

Find a polynomial which, when added to the polynomial 3x^2+3x-1, is equivalent to the following expressions: 1, 2x^2-3, and x+5

Answer:

one real

Answer: 1

Step-by-step explanation:

Givens

a = 1

b = -4

c = 4

Discriminate

Discriminate = sqrt(b^2 - 4*a*c)

Discriminate  = sqrt(  (-4)^2 - 4 * (1)(4) )

Discriminate = sqrt ( 16 - 16)

Discriminate = sqrt(0)

Discriminate = 0

That means the 1 real root is -  b / 2a = 4/(2*1) = - -2 = 2

Answer:

The third from the top does not belong with the others.

Step-by-step explanation:

With the exception of the 3rd quotient, the expressions all involve powers of the same base.  There is an exponent property that can be used in such a situation:

[tex]\frac{a^m}{a^n}=a^{m-n}[/tex]

but the base, a, must be the same in both parts of the quotient!

The value of a and b are respectively 15 and 17 respectively.

What are trigonometry ratios?

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

Given that csc θ = 17/8 and cos θ = a/b.

The reciprocal of sin θ is csc θ.

Therefore,

1/sinθ = 17/8

or, sin θ = 8 /17

Applying the trigonometry identity cos²θ = 1- sin²θ

cos²θ = 1- (8/17)²

cos²θ = 1- 64/289

cos²θ = 225/289

cos θ = 15/17

The value of a is 15 and the value of b is 17.

To learn more about  trigonometric functions, click on the below link:

https://brainly.com/question/12466165

#SPJ1

Answer:

-3

Step-by-step explanation:

2 + 2 - 7

\      /

  4  -  7

   \     /

     -3

Answer:

-3

Step-by-step explanation:

Follow P.E.M.D.A.S from left to right.

1. A: 2+2=4

2. S: 4-7=-3

Answer:

-131

Step-by-step explanation:

2×2×3×4-15×2×2×3+-1

48-179

=-131

Answer:

27

Step-by-step explanation:

s = 5

t = - 1

s² - 2st

= 5² - 2 ( 1 ) ( - 1 )

= 25 - ( - 2 )

= 25 + 2

= 27

Answer:

x = 6

Step-by-step explanation:

The three angles form a straight line, which is 180 degrees

5x+ (x+54) +90= 180

Combine like terms

6x+144 = 180

Subtract 144 from each side

6x+144-144 =180-144

6x =36

Divide each side by 6

6x/6 = 36/6

x = 6

Answer:4.76

Step-by-step explanation:

tan 0= opposite side/adjacent side

tan x = 1/12

x =tan-1 (1/12)

~~ 4.76 degrees

The angle of inclination x of this ramp is 4.76 degrees.

'A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle.'

According to the given problem,

Perpendicular = 1 inch

Base = 12 inches

Angle of inclination = x

We know,

tan (x) = [tex]\frac{Perpendicular}{Base}[/tex]

⇒ tan(x) = [tex]\frac{1}{12}[/tex]

⇒ x = [tex]tan^{-1} \frac{1}{12}[/tex]

⇒ x = 4.76 degrees.

Hence, we can conclude, the angle of inclination is 4.76 degrees.

Learn more about right-angle triangle here: https://brainly.com/question/3772264

#SPJ2

Answer:c/π=d

Step-by-step explanation: the d and π was multiply with the d and if we want separate with it, we need to use the opposite way to get it.

Answer:

7/8 is nearly 1, and 8 1/10 is obviously 8.1 (1/10), which is rounded to 8. So th expression that best estimates the products of those numbers is D, 1 * 8.

Step-by-step explanation:hope this helped

The augmented matrix, however, is a two-by-four matrix because it also contains the constants.

The augmented matrix will always include one additional column for every additional variable, and the same number of rows as there are equations. An easier technique to write a set of linear equations is to utilize enhanced matrices.

In an augmented matrix, two sides of the matrix are separated by a vertical line that serves as a representation of a succession of equal signs. The collection of linear equations, for instance, would be represented by the matrix. There is only ever one pivot in a column.

For (c): Three rows and four columns make up the augmented matrix of this system. As a result, it only has three pivot points at most. Thus, a pivot column cannot be represented by a single variable.

To learn more about augmented matrix for the linear system visit:

brainly.com/question/13512085

#SPJ4

Answer:

What is the size of the augmented matrix for the linear system?

B) 2x3

Identify the values for the elements in the augmented matrix:

a11 =  3

a12 =  7

a13 =  20

a21 =  1

a22 =  -4

a23 = 9

Step-by-step explanation:

Answer:

2x=16

/2    /2

x=8

Step-by-step explanation:

just need to isolate the x, by dividing by two on both sides.

hope this helps :)

Answer:

x=8

Step-by-step explanation:

2x=16

Isolate the variable by diving by 2 on both sides

2x=16

÷2 ÷2

so, x=8

The algebraic expression for the sequence 1, 10, 19, is given as a(n) = 1 + (n-1) 9.

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.

For the given sequence the common difference between two consecutive terms is 19 - 10 = 9.

The general form of the nth term of an arithmetic sequence is given as:

a(n) = a + (n-1) d

Since, the value of a = 1 and the common difference d =9, the resulting expression is:

a(n) = 1 + (n - 1) 9

Hence, the algebraic expression for the given sequence is a(n) = 1 + (n - 1) 9.

Learn more about sequence here:

https://brainly.com/question/21961097

#SPJ1

Answer: 1/4

Step-by-step explanation:

Method 1

this method only works when there is a visual graph, but you can oick 2 points. then go to the point farthest to the left ide of the graph. then count up to be on the same y coordinate as the other point. then count over to be on the same x point, hence 1/4 (up 1 over 4)

Method 2

You can also pick 2 points, and put them into this formula to find slope ([tex]\frac{x2-x1}{y2-y1} }[/tex] then you plug in so the point farthest left would be x1 and y1 and the other point would be y1 and y2 so when you plug in and solve you get 1/4

Answer:

Step-by-step explanation:

rise/run

=1/4

The amount that Cheryl left with is $ 1.9 or 1 dollar and 90 cents.

1. READ and reread the problem first

2. DRAW an image to illustrate the information. Ask your self Can I infer anything from this information during this step? What could I doodle? Which model will best convey the information? What inferences may I draw from the illustration?

3. WRITE the drawings as a basis for your conclusions. This can be expressed as a mathematical expression, an equation, or a statement.

Given that

Cheryl bought a sandwich for 5 1/2 dollars and a drink for $2. 60  

Here 5 1/2 = 11/2 = 5.5 dollars

Then the total cost of the sandwich and drink = $ 5.5 + $ 2.60 = $ 8.1  

Given that Cheryl gave $ 10

The amount that Cheryl left with = $ 10 - $ 8.1 = $ 1.9

Here is $ 1.9 = 1 dollar and 90 cents

Therefore,

The amount that Cheryl left with is $ 1.9 or 1 dollar and 90 cents.

Learn more about RDW strategy problems at

https://brainly.com/question/13368237

#SPJ4

Answer:

According to be for the first one it would be: Nonlinear, and the second one would be: Show no pattern

Hope this helps!

The percentage sugar of 19. 00 g milk chocolate bar is 60.53%. The value of 60.53 is rounded to two decimal points.

What does mean of two decimal points?

To make decimal values simpler to grasp and utilise in calculations, they are frequently rounded off. The second place to the right of the decimal point, or the hundredths place, is used to round a decimal value to two decimal places. For instance, you can round 2.83620364 to two decimal places as 2.84 and 0.7035 to two decimal places as 0.70. If you look closely, you'll see that we changed 2.83 to 2.84 by adding a single digit to the first number's hundredths position. However, we did not add 1 to the digit at the hundredths place of the second integer (i.e 0).

Given that a chocolate bar with a weight 19.00 gram milk, contains 11. 50 g of sugar.

To find the percentage, we will calculate the amount of suger in 100 gram of chocolate bar in the same ratio..

19.00 gram milk chocolate bar contains 11. 50 g of sugar.

Apply unitary method:

1 gram milk chocolate bar contains 11. 50/19 g of sugar.

100 gram milk chocolate bar contains (11. 50/19) × 100 g of sugar.

                                                                = 60.526

The digit at the thousandth place of the number 60.526 is 6 which is more than 5. thus add 1 with the hundredth place digit to round to two decimal places.

60.526  ≈ 60.53

To learn more about the unitary method, click on the below link:

https://brainly.com/question/11029687

#SPJ4

Answer:

Step-by-step explanation:

Rewrite this function as g(x) = 3(x + 1)(x - 2)

Set each factor equal to zero in turn, solving for x each time:

x + 1 => x = -1  (the lesser zero)

x - 2  =>  x = 2  (the greater zero)

Answer:

lesser x =-1

greater x =2

Step-by-step explanation:

khan verified

Answer:

just ask your teacher

Step-by-step explanation:

maybe she can help lol

Answer:

25 is your answer .

hope it is helpful to you

Answer:

25 is the correct answer

Hope it helps you have a good day ☺