Express v in terms of w

Answer:

see the picture

Step-by-step explanation:

By the below figure (6) is the initial equation

(1) next added (b/2a)^2 on both sides to make it whole square on left side which gives (4) in (4) both terms are added on the right side to make it (5)

then square root on both sides gives (2) and now taking b/2a to the right side gives the final quadratic formula (3)

We can obtain the quadratic formula from completing the square method as shown.

The quadratic formula is derived from the completing the square method as follows;

Given the quadratic equation;

[tex]ax^{2} + bx + c =0[/tex]

Dividing through by a we have;

[tex]x^{2} + \frac{b}{a} + \frac{c}{a} = 0[/tex]

Adding half of b to both sides of the equation, we have;

[tex](x + \frac{b}{a}) ^{2} = \frac{-c}{a} + \frac{b^2}{4a^2}[/tex]

Taking LCM of the right hand side;

[tex](x + \frac{b}{2a})^{2} = \frac{b^2 - 4ac}{4a^2}[/tex]

Making x the subject of the formula;

[tex]x = \frac{-b + \sqrt{b^2 - 4ac} }{2a}[/tex]

Learn more: https://brainly.com/question/14283892

Answer:

Check my notes

Step-by-step explanation:

I made note of this last year

Answer:

12%

Step-by-step explanation:

if you divide 5 from 1 hour which is 60 min you get 12 and convert that to percent and you get 12%

Answer:

4.25

Step-by-step explanation:

Shown in photo

Step-by-step explanation:

we start with the first and the third equations, as they have the same content structure.

we multiply the whole first equation by 2, so that the z terms become aligned, and then we add both equations :

-8x + 4z = 28

-2x - 4z = 22

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

-10x + 0 = 50

x = -5

-2x - 4z = 22

-2×-5 - 4z = 22

10 - 4z = 22

-4z = 12

z = -3

y = x + z + 12

y = -5 - 3 + 12 = 4

Answer:

a

Step-by-step explanation:

Answer:

⇛-13/8 , -11/24, -7/16, -5/12 , -3/8

Step-by-step explanation:

Given numbers are -3/8 , 5/-12, -7/16, -13/18 , 11/-24

The can be written as -3/8, -5/12, -7/16, -13/18, -11/24

The denominators = 8,12,16,18,24

LCM of the denominators = 144

-3/8 = (-3/8)×(18/18) = -54/144

-5/12 = (-5/12)×(12/12) =-60/144

-7/16 = (-7/16)×(9/9) = -63/144

-13/18 = (-13/18)×(8/8) = -104/144

-11/24 = (-11/24)×(6/6) = -66/144

Ascending order of the numbers

= -104/144 , -66/144, -63/144, -60/144, -54/144

-13/8 , -11/24, -7/16, -5/12 , -3/8

Answer:

y= -2x +6

Step-by-step explanation:

Answer:

The second one : x + 90 + 61 = 180

Step-by-step explanation:

I hope this helps!

Let me know if you need the explanation.

Answer:

-6, -2

Step-by-step explanation:

-2 ×3 = -6

-6 ×3 = -18

-18 x3 = -54

-54 x3 = -162

Answer:

86,400,000 bacteria

Step-by-step explanation:

2^5=32, 3^3=27, 10^5=100,000

32*27*100,000

Answer:

There are 86400000 bacteria in the Petri dish.

Step-by-step explanation:

Write in standard form:

[tex]2^{5}[/tex] = 2 x 2 x 2 x 2 x 2 = 32

[tex]3^{3}[/tex] = 3 x 3 x 3 = 27

[tex]10^{5}[/tex] = 10 x 10 x 10 x 10 x 10 = 100000

32 x 27 x 100000

= 86400000

hope this helps and is right!! p.s. i really need brainliest :)

Answer:

I am not sure but i will say C.

Step-by-step explanation:

Answer:

hope it helps you.........

Answer:

They are the same

Step-by-step explanation:

0.5 = 2/4

Half of 100 is 50

2/4 is half

Answer:

hmmmmm

Step-by-step explanation:

Answer:

[tex]d = \frac{-1}{e} - \frac{7}{3}[/tex]

Step-by-step explanation:

In order to make d the subject of the formula, you need to isolate it.

- You started with d-7 = 4d + 3/e

- Move 4d to the left side by subtracting 4d from both sides to cancel it from the right so you have...

d - 7 = 4d + 3/e              This will leave you left with -3d - 7 = 3/e

-4d     -4d                          

- Then move over the -7 by adding 7 to both sides...

-3d - 7 = 3/e              This will leave you left with -3d = 3/e + 7

     +7          +7

- Finally to get d by itself divide both sides of the equation by -3 and you'll be left with...

[tex]d = \frac{3}{-3e} -\frac{7}{3}[/tex]

- You can cancel out the 3 in the -3/3e and make it -1/e so your final answer will be

[tex]d = \frac{-1}{e} - \frac{7}{3}[/tex]

Answer:

Huh?

Whats the question?

Answer:

a

Step-by-step explanation:

Given p varies jointly as q and r then the equation relating them is

p = kqr ← k is the constant of variation

Given k = 4 , then

p = 4qr ← equation of variation

Answer:

B. 2^9.

Step-by-step explanation:

2^6 * 2^3

= 2^(6+3)

= 2^9.

Answer: 2^5

Step-by-step explanation:

2^5= 2x2x2x2x2=32

5^2=5×5=25

Step-by-step explanation:

Number 1

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

m = (3 - 1)/(5 - 2)

m = 2/3 POSITIVE

Number 2

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

m = (-3 - 1)/(1 + 2)

m = -4/3 NEGATIVE

Number 3

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

m = (1 - 1)/(5 - 4)

m = 0/1

m = 0 ZERO

Number 4

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

m = (5 - 1)/(7 - 7)

m = 4/0

m = UNDEFINED

Number 5

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

m = (6 - 1)/(3 + 2)

m = 5/5

m = 1 POSITIVE

Answer: y=-5/2x+9/2

Step-by-step explanation: We are using (-4,3) as our x and y and -5/2(reciprocal of 2/5) as our slope.

y-3=-5/2(x+4)

multiply x and 4 by -5/2

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

add 3 to both sides

y=-5/2x+9/2

Answer:

x y

-5 1

-5 -2

-5 -5

Step-by-step explanation:

same x value, but different y value

Answer:

brainliest mo munako

Step-by-step explanation:

bago answer pede maliwaag ba

Step-by-step explanation:

Slope = 3/4

Point = (4,-2)

Using the point Slope form ,

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

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

=> 4x -16 = 3y -6

=> 4x -3y -16+6=0

=> 4x -3y -10 = 0

Answer:

See answer below.

Step-by-step explanation:

3x + 8 = 11   solve as if the equation had only the = sign

     -8 =  -8

  3x    =  3

     x    =  1      Now replace the = with the ≥ sign

     x ≥  1

Graph will be a closed circle at 1 and shaded to the right .  

Answer: A

Step-by-step explanation:

as long as the x-coordinates are all different numbers then it is a function.

Answer:

B

Step-by-step explanation:

Apply Trignometric ratio

[tex] \cos(x) = \frac{adj \: side}{hypotenuse} \\ \cos(x) = \frac{8}{21} \\ x = \cos { }^{ - 1} ( \frac{8}{21} ) \\ x = 67.6[/tex]