Yhe length of a rectangler garden is four times its width w plus 3 feet. Ehich expression represnts the garden length in feet

Step-by-step explanation:

To find - How can you determine the number of solutions of a system

              of linear equations by inspecting its equations?

Proof -

There exists three types of solution for a system of linear equations.

1. No solution.

2. Unique solution.

3. Infinite many solutions.

Now,

Let the 2 linear equations are as follows :

y = ax + b

y = cx + d

1. For no solution -

a = c and b ≠d

For example-

y = -2x + 5

y = -2x  - 1

Subtract first equation from second , we get

y - y = -2x - 1 - ( -2x + 5)

⇒0 = -2x - 1 + 2x - 5

⇒0 = -6

Not possible

So, There exist no solution.

2. For unique solution -

a ≠ c and b , d can be any value

For example -

If b and d are same ,

y = 2x - 4

y = -3x - 4

Subtract equation 1st from 2nd , we get

y - y = -3x - 4 - ( 2x - 4)

⇒0 = -3x - 4 - 2x + 4

⇒0 = -5x

⇒x = 0

⇒y = 2(0) - 4 = -4

∴ we get

x = 0, y = -4

If b and d are different

y = 2x - 4

y = -3x + 5

Subtract equation 1st from second

y - y = -3x + 5 - 2x + 4

⇒0 = -5x + 9

⇒-5x = -9

⇒x = [tex]\frac{9}{5}[/tex]

⇒y =2([tex]\frac{9}{5}[/tex]) - 4 = [tex]\frac{18}{5} - 4 = \frac{18 - 20}{5} = -\frac{2}{5}[/tex]

∴ we get

x = [tex]\frac{9}{5}[/tex] , y = [tex]-\frac{2}{5}[/tex]

3. Infinitely many solution -

a = c and b = d

For example -

y = -4x + 1

y = -4x + 1

Subtract equation first from equation second

y - y = -4x + 1 - ( -4x + 1)

⇒0 = -4x + 1 + 4x - 1

⇒0 = 0

Satisfied

So, Infinite many solution possible.

Answer:

86.6667% decrease

Step-by-step explanation:

Answer:

2/7

Step-by-step explanation:

Answer: 79

Step-by-step explanation:

6 ÷ 3 + 9 x² - 4=79

Answer:

less than 6

Step-by-step explanation:

when you multiply a number by a fraction less than 1 you are calculating a portion of that number so you get a result smaller.

Answer:

The Pythagorean theorem consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. The a and b are the 2 "non-hypotenuse" sides of the triangle (Opposite and Adjacent).

Answer:

Step-by-step explanation:

Used t find missing side angles when two sides are present. For example, if you have a short leg and a long leg, you can use the Pythagorean Theorem to find the hypotaneus and vse versa, using it to find the short or long leg if the other two are given.

1.555 tonnes I think

Answer:$5.50

Step-by-step explanation:

22.50 -11.50= 11

soda and popcorn (2 items)

11/2= 5.50

Answer:

66

Step-by-step explanation:

6x + 8y + 6

x=2

y=6

Replace the letters with the numbers:

6(2) + 8(6) +6

= 12 +48 + 6

= 66

Answer:

(5,3)

Step-by-step explanation:

you would move 3 to the right and 2 down

Answer:

Hiya!

Are there any answers I can choose from?

Thank you muchly,

        Pandora

Step-by-step explanation:

Answer:

376

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the given functions to set up and simplify

40=

52=

0%=0

Answer:

unsimplified : [tex]\frac{21}{225} or simplified: \: \frac{7}{75}[/tex]

Step-by-step explanation:

Work out : Look above at image.

Answer:

124

Step-by-step explanation:

42+82=? (ext ∠'s of triangle equal to int opp)

42+82= 124°

Answer:

the answer is actually D

Step-by-step explanation:

this is for the the perso above .......

its ashamed what u do for points there r ppl out there that rlly need help :)

Answer:

D) got it on edge

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

Given: 4(x+4)+2x=52

Distribute.

4x + 16 + 2x = 52.

Simplify.

6x + 16 = 52.

Subtract 16 on both sides to isolate out the variable.

6x = 36

Divide.

x = 6

Answer:

x = 6

Step-by-step explanation:

first we distribute the 4 to the (x + 4) by multiplying 4 times each of those

4x + 16 + 2x = 52

Then, combine like terms:

6x + 16 = 52

then subtract 16 from both sides of your equation

6x = 36

then divide both sides by 6

x = 6

let me know if you have questions

Answer:

$2440

Step-by-step explanation:

a10 = a1 + (n-1)d <--- arithmetic sequence formula

a10 = 1000 + 9(160)

a10 = 2440

The volume of the cylinder is 288π units²

volume of a cylinder = πr²h

where

Therefore,

r = 6 units

h = 8 units

volume of the cylinder = π × 6² × 8

volume of the cylinder = π × 36 × 8

volume of the cylinder =  288π units²

learn more on volume here: https://brainly.com/question/12629046

#SPJ1

Answer:

The Answer is c

Step-by-step explanation:

This is because the bus can hold up to 40 people so 0 to 40

which means that the least amount of people on the bus would be 0 and the most amount of people on the bus would be 40 so 0 < x < 40

Answer:

equation: 3x+4 = 31

x = 9

Step-by-step explanation:

1. -2x+5x = 3x

2. 3x + 6 - 2

3. 6+-2 = 4

4. 3x+4 = 31

5. equation: 3x+4=31

6. 31-4 = 27

7. 3x=27

8. 27/3 = 9

9. x= 9

Answer:

we dont know what the equation equals yes im using this for free points im having a compition with my friend so ty im srry if i offended you

Step-by-step explanation:

Answer:

6.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.5(2 1/2) / 0.8(4/5)

Hope this helped!!

9514 1404 393

Answer:

  a) 123.4°

  b) 3.3 km

Step-by-step explanation:

In (N, E) coordinates, Boat 1 is located relative to the lighthouse at ...

  2(cos(60°), sin(60°)) = (1.0, 1.732) . . . . . km

Boat 2 is located at ...

  3(cost(340°), sin(340°)) = (2.819, -1.026) . . . . . km

So, relative to Boat 2, Boat 1 is located at ...

  (1, 1.732) -(2.819, -1.026) = (-1.819, 2.758) . . . . . km

This is at a bearing of ...

  arctan(2.758/-1.819) = 123.4°

and a distance of ...

  √(1.819² +2.758²) ≈ 3.304 . . . . . km

a) Boat 2 would need to travel on a bearing of 123.4°.

b) Boat 2 would need to travel 3.3 km.

_____

Additional comment

We use (North, East) coordinates so we don't have to do the mental gyrations necessary to translate to and from (E, N) coordinates. The latter would correctly orient a map relative to the X-Y Cartesian plane. The former are equivalent to flipping the map over and looking at it from the back side. This is a "rigid transformation", so angles and distances remain unchanged.

Answer:

67.6

Step-by-step explanation:

area = 158/360 * 49 * pi = 67.56