3y+9=x^2+6x isolate y

Answer:

It will take her approximately 28 seconds to cross the diagonal of the pitch

Step-by-step explanation:

If we can find the length of the diameter of the field (in Metres), we can easily find the time it takes her to cross this length using motion equations.

Step one: Find the length of the field from its area.

The field is rectangular in shape. The area of the field is 48m^2. To get the area of the field, we had to multiply its length and its breadth.

i.e area = length X breadth.

Let us assume that the breadth = 6m

its length will be area / breadth = 42/ 6 = 7m

The length of the pitch = 7 m

Step Two: Find the length of the diagonal using Pythagoras' theorem.

From Pythagoras'theorem, the length of the diagonal  can be obtained by

[tex]diagonal = \sqrt{l^2 +b^2}[/tex]

[tex]diagonal = \sqrt{6^2+ 7^2} = 9.22m[/tex]

The length of the diagonal is 9.22m

Step three: Find the time using her speed and the distance she needs to cover.

Time = distance / speed

time = 9.22 /20 = 0.46 minutes

It will take her approximately 28 seconds to cross the diagonal of the pitch

Answer: {-7, -6}

Explanation: When an equation has a squared term in it,

it's called a polynomial equation.

The rule for solving a polynomial equation

is to first set it equal to 0, then factor.

Since this equation is already set equal to 0, we can factor the left side.

The left side is a trinomial that can be

factored as the product of two binomials.

The first term in each binomial will be a factor of the w².

Since w² factors a w · w, we use a w as our first term.

For the last terms, we use factors of 42 that add

to 13 and these factors are +7 and +6.

So we have (w + 7)(w + 6) = 0.

So either w + 7 = 0 or w + 6 = 0.

Solving for w in each equation, we find that our solution set is {-7, -6}.

Answer:

[tex]V=108\ \text{inches}^3[/tex]

Step-by-step explanation:

Given that,

The height of a rectangular pyramid is 4 inches

The base of the pyramid measures 9 inches by 9 inches.

We need to find the volume of the rectangular pyramid. The formula for the volume of the rectangular pyramid is given by :

[tex]V=\dfrac{lbh}{3}[/tex]

Substitute all the values,

[tex]V=\dfrac{4\times 9\times 9}{3}\\\\V=108\ \text{inches}^3[/tex]

So, the volume of the rectangular pyramid is [tex]108\ \text{inches}^3[/tex].

Answer:

here.

 Area = (length) x (width) .

     Area = (1/3 yard) x (3/4 yard)

                               =  (1/3  x  3/4)  yard²

                                  =        1/4     yard² .

Answer:

3/12

Step-by-step explanation:

1/3=4/12

3/4=9/12

4/12*9/12=3/12 (.25)

Answer:

El precio de la entrada al cine es de $56

Step-by-step explanation:

Cada uno de los 4 amigos las 2 veces por semana consumen un paquete de palomitas que cuesta: $28  ; entonces debemos multiplicar el costo de las palomitas por las dos veces que las consumen para saber el costo total de las palomitas:

                                                 28 x 2 =$56

El ejercicio nos dice que al no comer esas dos veces palomitas pueden ingresar a cine una tercera vez por semana ,lo que significa que al no pagar los $56 en palomitas podrán pagar una tercera entrada,lo que quiere decir que la entrada a cine es de $56.

Entonces podemos hacer la siguiente relación matemática: Precio total de las palomitas dos veces por semana = Precio de la entrada a cine.

Answer: 23 cm(Hope it's Right!)

Step-by-step explanation:

Write Lin as L and Chen as C

So put 25cm+8cm

Answer:

dang thats tough..

Step-by-step explanation:

idrk what an asvab is but it sounds horrible im

sorry that happened :(

Answer:

Hi how are you doing today Jasmine

Answer:

The answer is B

Step-by-step explanation:

The value of the square root of 140 lies between 11 and 12. The square root of 140 is 11.83

Answer:

The answer is 38.48

Step-by-step explanation:

Picture with explanation provided below.

Answer:

2/7 is correct answer

oky na

[tex] \Large \underline{\tt Given} :[/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \Large \underline{\tt To \: Find} :[/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \Large \underline{\tt Solution} :[/tex]

[tex] \\ [/tex]

As, we have :

Students present on Monday = [tex] \tt \dfrac{5}{7} of 35[/tex]

[tex] \\ [/tex]

[tex] \tt : \implies Students \: present \: on \: Monday = \dfrac{5}{7} \times 35[/tex]

[tex] \tt : \implies Students \: present \: on \: Monday = \dfrac{5}{\cancel{7}} \times \cancel{35}[/tex]

[tex] \tt : \implies Students \: present \: on \: Monday = 5 \times 5[/tex]

[tex] \tt : \implies Students \: present \: on \: Monday = 25[/tex]

[tex] \\ [/tex]

Now, we have to find students not present on Monday :

As, we have :

[tex] \\ [/tex]

Therefore,

Students absent on Monday = 35 - 25 = 10

[tex] \\ [/tex]

Hence, 10 students were not present on Monday.

Answer: 2 and 1/4

Step-by-step explanation: You make the fraction 9/4 then simplify.

Answer:

nest ,shot,west,then,show,

hope it helps you

Answer:

12.7 is your answer

5 x 2.54 = 12.7

Answer:

The answer is 58,522.5

Step-by-step explanation:

You multiply 7.65 by 7,650 and get 58,522.5. And when you plug it back in it’s correct.

Answer:

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

From the question, we are informed that Wezi has sixty-three $5-bills. The total amount that he has will be:

= 63 × $5

= $315

We are further told that he takes the $5-bills to the bank to exchange them for $20-bills. Based on this, the number of $20-bills that Wezi get will be:

= $315 / $20

= 15 3/4

Therefore, he will get 15 $20 bills

Answer:

A or C

Step-by-step explanation:

Answer:

y=2x−5 is a line

Step-by-step explanation:

Explanation: y=2x−3 is in slope intercept form for a linear equation, y=mx+b , where m is the slope and b is the y-intercept. The y-intercept is the point at which x=0 and y=−3 , which is point (0,−3) You can plot this point on your graph.

Answer:

$80

Step-by-step explanation:

plug 40 into each equation for x

50+12(40)

simplify

50+480

simplify

530

10+15(40)

simplify

10+600

610

now subtract 530 from 610

610-530

80

Answer:

?

Step-by-step explanation:

Answer: Hello, Today we are going to divide you want to divide the distance by rate.

150m/60mph =2.5h

Hope this helps and hope you carry on and hope you have learned something.Thanks!

Answer:

8

Step-by-step explanation:

Answer: 8

Step-by-step explanation: 10 / 1.25 = 8

Answer:

4

Step-by-step explanation:

If u put it ona graph then u get 4

Answer:

18.18%

Step-by-step explanation:

The percentage of sweets in the bag that are yellow is as follows:

Let us assume the number of yellow sweets be x

So for number of blue sweets be 4x

And, the number of red sweets be 0.5x

So it could be written as

Blue Red Yellow

4        0.5    1

8        1        2

So for yellow, the percentage is

= 2 ÷ (8 + 1 + 2)

= 2 ÷ 11

= 18.18%

Answer:

g = 1/3 x - 2/3

Step-by-step explanation:

x =3g + 2

Switch sides:

3g + 2 = x

Take away 2 from both sides:

3g = x - 2

Divide both sides by 3:

g = 1/3 x - 2/3

Answer:

[tex]\frac{11}{6} y[/tex]  

Step-by-step explanation:

Since they all have y as the variable, you can simply add the coefficients (number in front of the variable) together. (y = 1y)

[tex]\frac{2}{3} + \frac{1}{6} + 1 = \frac{4}{6} + \frac{1}{6} + \frac{6}{6} = \frac{11}{6}[/tex] or [tex]1\frac{5}{6}[/tex]