The length of a rectangle is 6 cm less than twice its width, and the area is 108cm2. Write an equation to solve for the dimensions.

Answer:

C.) m = 2 and b = -8

Step-by-step explanation:

Generally:

In an equation of the form y = mx + b

the slope is m

the y-intercept is b

In our equation y = 2x - 8 = 2x + (-8)

then

m = 2  and  b = -8

Answer:

A (1,0), B (3,0) Q (2,-1) P(0,3)

Step-by-step explanation:

A(1,0) B (3,0) these are the roots of the current graph so the factors or the x-intercepts.

Q is the minimum so it is halfway between the x-intercepts

halfway = 3+1/2 , x=2

plug x=2 into the equation

y=(2-1)(2-3)

y=  -1

therefore Q = (2,-1)

P is the y-intercpet when x=0, so plug x=0 into the equation

y=(0-1)(0-3) = 3

therefore Q =

(0,3)

Answer:

A

Step-by-step explanation:

Answer:

12/36 = 1/3

Step-by-step explanation:

draw a possibility diagram or table where you get the possible outcomes. 1 to 6 along the bottom and 1 to 6 across.

you will results such as 11 12 13 14 15 16

21 22 23 24 25 26

and so on.

Then, you total up each of them and will get

2 3 4 5 6 7 from the first row

3 4 5 6 7 8 from 2nd row

and so on.

from the final results, count how many are multiples of 3.

we should get 12 and over total possible outcomes which is 36, since it's a 6 by 6 table.

Answer:

work is shown and pictured

Answer:1572

Step-by-step explanation:

Am god

To the nearest square unit, Area of heptagon = 1572 square unit

The correct option is B.

A heptagon is a polygon with 7 sides and 7 angles. Sometimes the heptagon is also known as “septagon”. All the sides of a heptagon meet with each other end to end to form a shape.

Given,

Side length of heptagon = 20.8 unit

Radius of the incircle = 21.6 unit

Perimeter of heptagon = 7×side = 7×20.8 = 145.6 unit

Area of heptagon = (1/2)Perimeter × radius of incircle

                               = 0.5 × 145.6 × 21.6

                               = 72.8 × 21.6

                               = 1572.48 square units

Hence, 1572 square unit is the area of the heptagon rounded to nearest square unit.

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Answer:

12 and 18

Step-by-step explanation:

sum the parts of the ratio, 2 + 3 = 5

30 ÷ 5 = 6 ← value of 1 part of the ratio

2 parts = 2 × 6 = 12

3 parts = 3 × 6 = 18

The numbers are 12 and 18

Answer:

Inverse relationship

Step-by-step explanation:

The equation we are looking at is;

y = 87.2/x

which implies xy = 87.2

If it was a direct relationship

y = constant * x

if it was inverse, it would have been

y * x = constant

since 87.2 is a constant, the question looks exactly like the second scenario.

This means that what we have is an inverse relationship

Step-by-step explanation:

1 (b) ( boy, boy), (boy,girl), ( girl,boy ), ( girl, girl )

(c) 4

(d) 2/4 = 1/2

(e) 1/4

2 (a) (1,head), (1,tail), (2,head), (2,tail), (3,head), (3,tail), (4,head), (4,tail)

(b) (A,1) (A,2), (A,3), (B,1), (B,2), (B,3), (C,1), (C,2),

(C,3)

Answer:

37

Step-by-step explanation:

Using the Pythagorean theorem:

[tex]x=\sqrt{12^2+35^2}=\sqrt{144+1225}=\sqrt{1369}=37[/tex]

Hope this helps!

Answer: 4 horas

Step-by-step explanation:

Una semana (de lunes a viernes) contiene 5 días

Si se entrena 1 hora por día:

1 x 5 = 5 horas (total de horas de entrenamiento de lunes a viernes)

Ese total más el número de horas que se entrena el sábado (x) dividido por 6 (numero de días en la semana incluyendo sábado) debe ser igual a el promedio de horas entrenadas en los 6 días (1.5)

(5+x) /6 =1.5

Despajando x:

5+x =1.5 x 6

5+x =9

x =9-5

x = 4 horas

Answer:

" Expected Payoff " ⇒ $ 1.80 ; Type in 1.80

Step-by-step explanation:

Take the probability of winning into consideration;

[tex]Total Number of Tickets - 500,\\Tickets 1 Person Can Enter - 1 Ticket,\\\\Probability of Winning - 1 / 500,\\Money Won - 900 Dollars,\\\\Proportionality - 1 / 500 = x / 900 - where, x = " Expected Payoff "\\1 / 500 = x / 900 - CrossMultiplication,\\\\500 * x = 900,\\x = 900 / 500,\\x = 1.80 Dollars Won!\\\\Conclusion ; x = 1.80 Dollars[/tex]

Solution ; " Expected Payoff " ⇒ $ 1.80

the answer is x÷5-3 = 28

Answer:

(28+3)×5=x

Step-by-step explanation:

28+3= [tex]\frac{1}{5}[/tex] of x

31 is 1/5 of x

x is 155

Checking:

155÷5-3=28

31-3=28

x is 155

Alternate solution:

(28+3)×5=x

their gd7v7gvugvrty

Step-by-step explanation:

7yvtc

Answer:

Since the full percentage of something is 100% thats because 1*100 = 100.

So since it has 40% chance of rain what would 100-40 be? Well it would be 60. So the probability that it will not rain is

Answer:

Perimeter: 2l+2w

Area: lw

Step-by-step explanation:

Let l=length, and w=width

Answer:

For Perimeter its  2times length + 2times width

and for Area its: length times width

Hope this helps :)

Answer:

195

Step-by-step explanation:

The area of a rhombus is the product of the two diagonal lengths / 2. The two diagonals measure 15 and 26 respectively. Therefore, the rhombus' area is 390/2=195

Answer:

10

Step-by-step explanation:

Since each ornament takes 1/4 of a piece of Bristol board we divide 2 1/2 by 1/4

2 1/2 = 5/2

(5/2)/(1/4) = 20/2 = 10

Answer:

[tex](4x - 3)(x - 2) = 0[/tex]

Last answer is correct

Step-by-step explanation:

[tex]4 {x}^{2} - 11x + 6 = 0 \\ 4 {x}^{2} - 8x - 3x + 6 = 0 \\ 4x(x - 2) - 3(x - 2) = 0 \\ (4x - 3)(x - 2) = 0[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

43 2/5

Step-by-step explanation:

change each of the mixed fractions to improper fraction.

-11  2/3 = -31/3

-4 1/5 = -21/5.

Multiply them now:

-31/3 x -21/5 = 651/15

Then turn 651/15 to a mixed fraction because the question was in mixed fractions:

43 6/15 = 43 2/5 (simplified)

Please mark brainiest

______________________________

Hey!!

Solution,

x-9=-27

or, X= -27+9

x=-18

So the value of X is -18

hope it helps..

Good luck on your assignment

__________________________

Answer: 4.2

Step-by-step explanation:

the coefficient is the number used to multiply a variable. here, the variable is x, and it is being multiplied by 4.2.

so the coefficient of the equation is 4.2

Answer:

The first factor is the amount of charge on each object. The greater the charge is then the greater the electric force. The second factor is the distance between the charges. The closer together the charges are, the greater the electric force is.

Step-by-step explanation:

Answer: x =(4-√168)/2=2-√ 42 = -4.481

x =(4+√168)/2=2+√ 42 = 8.481

Step-by-step explanation:

Answer:

x = -4.48,  8.48 to the nearest hundredth.

Step-by-step explanation:

x^2 - 4x - 9 = 29

Completing the square:

(x - 2)^2 - 4 - 9 = 29

(x - 2)^2 = 29 + 13 = 42

x - 2 = +/-√42

x = 2 +/-√42

x = 8.48, -4.48 .

Answer:

Milliliters is 1 Deciliter

Step-by-step explanation:

Answer:

average

Step-by-step explanation:

The midpoint is always the average or middle of the line. So here it would be the average of the two x endpoints.

Answer:

Domain: { 2,3,4,5}

Step-by-step explanation:

The domain is the inputs to the function

In this case it is the x values

Domain: { 2,3,4,5}

Answer:

C. (2,3,4,5)

Step-by-step explanation:

The domain is x and the range is y.

Answer:

'''A ray has one endpoint and extends indefinitely in one direction. A pair of opposite rays are two rays that have the same endpoint and extend in opposite directions. Rays are always named with two points and the first point in the name must be the endpoint.'''

Answer:

56

Step-by-step explanation:

The larger half is 4*10=40

The smaller half is 4*4=16

40+16=56

The area of the given kite is 56 square units and it has two diagonals of lengths 14 and 8 units.

The are of kite is product of diagonals by two.

Area of kite = (Diagonal 1 × Diagonal 2)/2.

Diagonal 1= 10+4

=14 units.

Diagonal 2= 4+4

=8 units.

Now plug in these values in above formula:

Area of kite = (14×8)/2

=112/2

=56 square units.

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