In kick boxing, the force needed to break a board varies inversely with the length of the board.If it takes 5 pounds of pressure to break a board 2 feet long, how many pounds of pressure will it take to break a board that is 8feet long?

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

4*a+b-(12)=0

Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 4a+b-12 = 0 and calculate its properties

Notice that when a = 0 the value of b is 12/1 so this line "cuts" the b axis at b=12.00000

b-intercept = 12/1 = 12.00000

When b = 0 the value of a is 3/1 Our line therefore "cuts" the a axis at a= 3.00000

a-intercept = 12/4 = 3

Slope is defined as the change in b divided by the change in a. We note that for a=0, the value of b is 12.000 and for a=2.000, the value of b is 4.000. So, for a change of 2.000 in a (The change in a is sometimes referred to as "RUN") we get a change of 4.000 - 12.000 = -8.000 in b. (The change in b is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -8.000/2.000 = -4.000

Geometric figure: Straight Line

Answer:

Step-by-step explanation:

Without having a numerical value for a (or b), you can't "solve this equation."

You can, however, solve it for either a or b, but not both.

For a:  Subtract b from both sides.  This results in 4a = 12 - b.  Dividing both sides by 4 isolates a:  

        12 - b

a = --------------

            4

For b:  Subtract 4a from both sides.  Then:   b = 12 - 4a

Answer:

[tex]1\frac{3}{8} aka \frac{11}{8}[/tex]

Step-by-step explanation:

to start, think of them as decimals

1/2 = 0.5

1/8 = 0.125

4/4 = 0.75

if you add them, youll get 1.375

as a fraction this is [tex]1\frac{3}{8} aka \frac{11}{8}[/tex]

Answer:

y = 2x - 3/4  Answer b

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope  = 2

b is the y-intercept = -3/4

therefor

y = 2x - 3/4  Answer b

Answer: 2.24

Step-by-step explanation:

Firstly, one kilo is 1000 grams, not 100. 2240/1000=2.24

Toni's cat weighs 22.4 kilograms.

To convert grams to kilograms, we divide the weight in grams by the conversion rate of 100 grams per 1 kilogram.

For Toni's cat weighing 2,240 grams, we divide 2,240 by 100 to get the weight in kilograms.

2,240 grams / 100 grams per kilogram = 22.4 kilograms.

Therefore, Toni's cat weighs 22.4 kilograms.

The conversion rate of 100 grams to 1 kilogram allows us to easily convert weights from smaller units (grams) to larger units (kilograms). In this case, dividing the weight in grams by 100 gives us the weight in kilograms, providing a simple way to convert between the two units.

Learn more about conversion here

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Answer:

3x

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

5x + 40 = 55

5x = 55 - 40

5x = 15

x = 15 / 5

x = 3

La casa de Rodrigo está dos cuadras a la derecha de la casa de Andrés.

En esta pregunta, debemos leer el enunciado y obtener las ecuaciones equivalentes antes de obtener su solución. En este caso tenemos las siguientes dos ecuaciones:

(i) La casa de Camilo está a 4 cuadras a la derecha de la casa de Andrés.

[tex]c - a = 4[/tex] (1)

(ii) La casa de Rodrigo está a 2 cuadras a la izquierda de la casa de Camilo.

[tex]r - c = -2[/tex] (2)

Si sumamos (1) con (2), entonces obtenemos la siguiente ecuación entre las casas de Andrés y Rodrigo:

[tex]r - a = 2[/tex]

En síntesis, la casa de Rodrigo está dos cuadras a la derecha de la casa de Andrés.

Invitamos cordialmente a ver esta pregunta sobre aritmética: https://brainly.com/question/6357882

Answer:

[tex]-\frac{17}{2}[/tex]

Step-by-step explanation:

Substitute the point (21,-4) in for [tex]x[/tex] and [tex]y[/tex] in the equation making

[tex]3(21)+B(-4)=97[/tex]

Simplify and solve

[tex]63-4B=97[/tex]

[tex]-4B=34[/tex]

[tex]B=-\frac{17}{2}[/tex]

Answer:

she keeps 270

Step-by-step explanation:

have of 600 is 300 10 percent of 300 is 30

300-30 is 270

Answer:

The dimensions of the Park is120m2

Answer:

15.8 i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

from how the sides are marked it is an equilateral triangle, to see it does not seem. assuming that it is equilateral it has 3 angles of 60 ° for which 4x - 20 = 60

4x - 20 = 60

4x = 80

x = 80 : 4

x = 20

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

4 * 20 - 20 = 60°

9514 1404 393

Answer:

  -25

Step-by-step explanation:

Consult your memory of multiplication tables to determine the square root of 100.

  10×10 = 100

  √100 = 10

Then multiply that value by -2.5

  -2.5×10 = -25

___

Of course, you can use a calculator or spreadsheet to evaluate this expression, too.

Answer:

36 / 21 = h / 168 so h = 168 (12 / 7)

Step-by-step explanation:

i dont know how to explain it

Answer:

C because it's a quadratic equation and it can be solved by factorization and completing the square method and also general formula

√44

2 Real Roots

Looking at the image attached, the discriminant is the value under the square root.

In the equation given:

a = 1

b = -8

c = 5

The discriminant is therefore:

√(b²- 4ac) = √(-8²- (4*1*5)) = √(64-20) = √44

√44 is a positive number. Because it is positive, there must be 2 real roots.

If it were negative, there would be 2 imaginary roots.

If it were zero, there would be 1 real root.

Answer:

88

Step-by-step explanation:

Let's find the length of one side. The perimeter will be 8 times that since it's a regular octagon.

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

Perimeter has to be [tex]8\times 11 = 88[/tex]

Ah sorry I got it wrong, dear

Answer:

3m^2 + 5n = 3

Step-by-step explanation:

3(16) + 5(-13) =

48 - 45 =

3

Answer:

3

Step-by-step explanation:

15/4=3 with a remainder of 3 . You take the 3 from your answer and it becomes the whole number.

Answer:

Step-by-step explanation:

(x,y) → (x-8, y+4)

1. (2, 6)

(2-8, 6+4)

(-6, 10)

2. (-2, 5)

(-2-8, 5+4)

(-10, 9)

3. (-3, -10)

(-3-8, -10+4)

(-11, -6)

ídk man u should connect it to (11, -7) since it's the only choice closest to the right answer, but If u can write the correct then write this. there's prolly an error in that quiz ídk

4. (3, -3)

(3-8, -3+4)

(-5, 1)

still not in the choices nanii but (5, -14) is the only choice left and also the closest, and even if u use calculator the correct answer is still (-5, 1). sigh, I hope this helper at least

Answer:

-7/9

Step-by-step explanation:

Using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 6-13)/(10-1)

    = -7/9

Answer:

arrange them in order = 1,3,3,4,4,5

then cancel them slowly from both side = 3,3,4,4

until u find a single number or two number.

for two number which is same as this do (3+4)/2 which is 7/2 = 3.5

Step-by-step explanation:

4,5,3,4,3,1 (n = 6)

[tex] \\ \tt median = \frac{n + 1}{2} [/tex]

[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{6 + 1}{2} [/tex]

[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{7}{2} [/tex]

[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.5[/tex]

Answer:

y= -1/4x - 11/2

y= 3/7x - 29/7

Answer:

Slope:[tex]-\frac{3}{5}[/tex]

Y-intercept:-3

X intercept:-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

14.7$

Answer:

They would need to wait almost 9 times to ride.

Step-by-step explanation:

252 divided by 30 equals 8.4.

Answer:

275 miles

Step-by-step explanation:

110/2 = 55 miles

you travel 55 miles an hour

multiply that by 5 to get your answer

equals 275 miles

Hope this is helpful.

Answer:

275 miles in 5 hours

Step-by-step explanation:

110/2 is 55. 55 is 1hour so multiply 55 times 5 and thats your answer.

Answer:

2.29883

formula

[tex]c = 2 \times \pi \times r[/tex]

solving for (r) radius

[tex]r = \frac{c}{2\pi} = \frac{14.44}{2 \times \pi} [/tex]

= 2.29883