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Answer: 35 cm

Step-by-step explanation:

As shown in the image attached, the A large rectangle is made by joining three identical small rectangles,

The width of one small rectangle is x cm and the length of one small rectangle is 2x cm. Therefore the perimeter of the small rectangle is given as:

2(length + width) = Perimeter

2(2x + x) = 21

2(3x) = 21

6x = 21

x = 21/6 = 3.5 cm

x = 3.5 cm

From the image attached, the width of the large rectangle is 2x (x + x) and the length is 3x (2x + x). Therefore, the perimeter of the large rectangle is:

2(length + width) = Perimeter

2(3x + 2x) = Perimeter

Perimeter = 2(5x)

Perimeter = 10x

Perimeter = 10(3.5)

Perimeter = 35 cm

Step-by-step explanation:

Answer:

(x + 6)(x + 13)

Step-by-step explanation:

Given

x² + 19x + 78

Consider the factors of the constant term (+ 78) whuch sum to give the coefficient of the x- term (+ 19)

The factors are + 6 and + 13 , since

6 ×13 = + 78 and 6 + 13 = + 19 , then

x² + 19x + 78 = (x + 6)(x + 13) ← in factored form

[tex]\bold{ x^2+19x+78 }[/tex]

[tex]\bold{ x^2+13x+6x+78 }[/tex]

[tex]\bold{ x(x+13)+6(x+13) }[/tex]

[tex]\bold{(x+6)(x+13) }[/tex]

Answer:

first four terms are 2, 7, 12, 17

Step-by-step explanation:

use this formula:  [tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)· d

where 'n' equals the position in the sequence the term is in and 'd' is the common difference

if [tex]a_{1}[/tex] = 2 and d = 5 are given, plug those into formula

[tex]a_{1}[/tex] = 2

[tex]a_{2}[/tex] = 2 + (2 - 1)·5 = 2+5 = 7

[tex]a_{3}[/tex] = 2 + (3 - 1)·5 = 2+2(5) = 12

[tex]a_{4}[/tex] = 2+(4 - 1)·5 = 2+3(5) = 17

The first four terms of the arithmetic sequence are 2, 7, 12, and 17.

It is a sequence where the difference between each consecutive term is the same.

We have,

First term = 2

Common difference = 5

First term = 2

Second term = 2 + 5 = 7

Third term = 7 + 5 = 12

Third term = 12 + 5 = 17

Thus,

The first four terms of the arithmetic sequence are 2, 7, 12, and 17.

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Answer:

10

Step-by-step explanation:

Answer:

A plane contains at least three non-collinear points. If two points lie in a plane, then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The equation matches the graph is y= 4x.

the correct option is B.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have line graph from which we can consider two points as (1, 4) and (3, 12).

So, the slope of line

m = (12 - 4)/ (3-1)

m= 8/ 2

m= 4

Now, using slope intercept form

y= mx+b

y= 4x + b

Now, put x= 1 and y=4 in above equation

4 = 4 + b

b= 0

So, the Equation of line is y= 4x.

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Answer: B

Step-by-step explanation:

Answer:

It is going to be the first one on the top left.

Step-by-step explanation:

the rule for something to be a function is every input must have exactly one output. now that does not mean that two different inputs cannot have the same output. but on a vertical line test every other one would be wrong.

A relation will be a function if for every single input there is only one output thus option (A) is correct.

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given diagrams,

A relation will be a function if for every single input there is only one output.

In the second diagram for input = 5 the output is 2 and -3 so it will not a function. Similarly third and fourth will also not function.

In the first diagram for  every single input there is only one output.

Hence "A relation will be a function if for every single input there is only one output".

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Answer:

600 acres

Step-by-step explanation:

Hope this helps!

The number of acres of land Mcgregor has 600 acres.

Given that, Mcgregor is growing alfalfa on 180 acres, which is 30% of his farmland.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the total number of acres be x.

So, 30% of x=180

⇒ 30/100 × x=180

⇒ 0.3x=180

⇒ x=180/0.3

⇒ x=600

Hence, the number of acres of land Mcgregor has 600 acres.

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Answer:

Pretty sure it's D. y=2/1x

Answer:

y= 2/1 x

Step-by-step explanation:

Start from (-2,-4) rise up 4 and over 2 which means 4/2 simplify to 2/1

Answer:

x=9,30............etc

Step-by-step explanation:

if value of x=9 then

the function

value of f(x)=4

if x=30 then value of function f(x)=27

Answer:

500$+500$=1000$

Step-by-step explanation:

for songs=50×10=500$

for movie=5×100=500$

total=500$+500$=1000$

50x+100y

hope it helps:)

Answer:

8 beacaus the seven increased from 4

The quotient after increased by 4 is 8.

To calculate the quotient of 28 divided by 7, we perform the division and get:

28 ÷ 7

= 28/7

= (7 x 4)/ 7

= 4

Next, we are asked to increase this quotient by 4. Adding 4 to the quotient:

= 4 + 4

= 8.

Therefore, the quotient after increased by 4 is 8.

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Step-by-step explanation:

1. Angle GFH and Angle KFH forms linear pair

and hence they are supplementary

( sum of the angles = 180° )

Answer:

Step-by-step explanation:

The table that represents this would have to be an inverse table where the higher the value of x increases the more the value of y decreases. That is because the more apps that he purchases the more money he spends which therefore decreases his remaining balance. Therefore the following table would represent this situation...

 x                y

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

 1            35.00

 2           33.25

 3            31.50

 4            29.75

 5            28.00

 6            26.25

 7            24.50

 8            22.75

and so on...

Answer:

168 gallons

Step-by-step explanation:

Correct question;

If 14 gallon of paint covers 1/12 of a wall, then how many quarts of paint are needed for the entire wall?

If 14 gallon of paint covers 112 of a wall, this can be expressed as;

14 gallons = 1/12 of the wall

x gallons = entire wall (1 wall)

Cross multiply

1/12 * x = 14

x/12 = 14

Multiply both sides by 12

x/12 * 12 = 14*12

x = 168 gallons

Hence 168galons of paints are needed for the entire wall

Answer:

630 cups

Step-by-step explanation:

Percentages

This problem is most easily solved backward, i.e., from the final data up to the beginning.

There was a new box of cups and the worker at a snack stand opened it. He first used 30 cups from the box and the second day he uses 15% of the remaining cups in the box, and we are told that represents 90 cups.

If 15% (0.15) equals 90 cups, then the number of cups before the second day was 90/0.15 = 600 cups.

On the first day, we used 30 cups, thus the original number of cups in the box was 600+30=630 cups

Answer: C

Step-by-step explanation: 45 divided by 18 is 2.5

Answer:

It would be a I think

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Answer:

i think its the first one

Step-by-step explanation:

if u subtract it , then it shouldn't be given a + sign at all

it should stay subtraction

have a good day! :)

plz give me brainliest

Answer: -7x to the seventh power+ x

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3 because 37° and 53° these sum is 90°.

Answer:

3. cos(53)=sin(37)

Step-by-step explanation:

let y be the third side

cos(53)= adj/hyp

           =y/16

sin(37)=opp/hyp

          =y/16

therefore, sin(37)=cos(53)=y/16

Answer:

B) x = -5

Step-by-step explanation:

The zero of a graph is the inputted value in which the output is 0. Therefore, we must find the x-value that makes the y-value be 0. In the graph, we see that y = 0 at (-5, 0). The x-value of the coordinate (-5, 0) is -5. Therefore, the zero of the function in the graph is x = -5.

I hope this helps! :)

Answer:

B. 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Angle = 37°

Adjacent Leg = x

Hypotenuse = 10

Step 2: Solve for x

Step-by-step explanation:

please it my steps to work on paper whorksheet

Answer:

Here it is simplified

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The number, -2¼, if it is to be represented on a directed line, would be about -2¼ places below point zero.

Therefore, the point that would represent -2¼ on a number line is B, as shown in the diagram.

Answer:

7k+6 is your answer to the question

Answer: 32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Inside the parentheses, we see 5+3, which equals 8. Now, do 8x4, which equals 32!