Make x the subject of the formula a(x-b)=a^2+bx

Answer:

102.5, 103.5

Step-by-step explanation:

a+a+1=206

2a+1=206

2a=205

a=102.5

103.5

I think there is a bug here. They can't be whole numbers.

Answer:

There are no two consecutive whole numbers that sum to 206 (See proof below)

Step-by-step explanation:

let the first number be x

since the numbers are whole and consecutive, the second number must be (x + 1)

we are given that the number sum to 206

hence,

x + (x+1) = 206

x + x + 1 = 206

2x + 1 = 206  (subtract 1 from both sides)

2x = 206 - 1

2x = 205  (divide both sides by 2)

x  = 205/2 = 102.5  (NOT A WHOLE NUMBER)

if x = 102.5, then the second number must be

x + 1 = 102.5 + 1 + 103.5 (ALSO NOT A WHOLE NUMBER)

Answer:

Hey there!

String P is 3.8 m long.

String Q is 3.8(1.35), or 5.13  m long.

String R is 3.8(0.95), or 3.61 m long.

Let me know if this helps :)

==========================================

There are 3 methods to find the lowest common multiple (LCM)

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

Method 1

List out the multiples of 6 and 8

multiples of 6 = {6, 12, 18, 24, 30, 36, 42, 48, ...}

multiples of 8 = {8, 16, 24, 32, 40, 48, ...}

We see that 24 is the smallest number in both sets at the same time. So this is the LCM.

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

Method 2

Write the prime factorization of 6 and 8

prime factorization of 6 = 2*3

prime factorization of 8 = 2*2*2

The unique prime factors here are 2 and 3. We have 2 show up at most three times meaning that 2*2*2 = 8 is a factor of the LCM. The number 3 is also a factor meaning that 8*3 = 24 is the LCM.

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

Method 3

Multiply the denominators 6 and 8 to get 6*8 = 48

48 is a common multiple, but its not the smallest

we can divide 48 over the GCF 2 to get 48/2 = 24, which is the actual LCM.

So when you have 2 different denominators, you can multiply their values and then divide by the GCF to get the LCM.

Answer:

m=3

Step-by-step explanation:

3m-2=7

3(3)-2=7

9-2=7

The Value of the equation is 19.

A linear equation is a type of equation in which every variable's degree is exactly one. In one-variable linear equations, there is only one possible solution to the equation and there is only one variable. It appears to be a straight line, either horizontally or vertically, when it is drawn on a graph.

Given equation 3m - 2

and m = 7

substitute the value of m in the equation,

3 x 7 - 2

21 - 2 = 19

Hence the value is 19.

Learn more about linear Equation in one variable;

https://brainly.com/question/17139602

#SPJ2

Answer:

y - 14(x) = 40 (Hopefully)

Step-by-step explanation:

-2 = 14(-3) +40

y = 14(x) + 40

y - 14(x) = 40

Answer:

[tex]\large\boxed{x = -4}[/tex]

Step-by-step explanation:

-2x + 4 = 12

Subtract 4 from both sides of the equation

-2x = 8

Divide both sides of the equation by 2

-x = 4

Transfer the minus (multiply both sides by -1)

[tex]\large\boxed{x = -4}[/tex]

Hope this helps :)

Answer:

x = -4

Step-by-step explanation:

-2x + 4 = 12

-2x = 8

x = -4

Answer:

Option (A)

Step-by-step explanation:

It has been given in this question that sign telling path has a 2% grade.

2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).

All the trigonometric ratios for the angle θ between the path and the horizontal are,

Sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

Cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

Since measures of the opposite side and adjacent sides are given

Therefore, tangent ratio will be applied to get the measure of the angle,

tanθ = [tex]\frac{2}{100}[/tex]

θ = [tex]\text{tan}^{-1}(\frac{2}{100})[/tex]

Option (A) will be the answer.

Answer:

We know that when a line is intersected by a transversal then

Corresponding angles are equal

Alternate interior angles are equal

Vertically opposite angles are equal

and also Sum of all the angles in a straight line is 180  

o

Given,  

∠CMQ=60  

o

=>∠LMD=60  

o

                [ ∵ vertically opposite angles are equal]

=>∠QMD=180−60  

o

    [ ∵sum of angles in a straight line is 180  

o

]  

∴ ∠QMD=120  

o

=>∠CML=120  

o

                  [ ∵ vertically opposite angles are equal]

=>∠MLB=120  

o

                  [ ∵ Alternate interior angles are equal]

=>∠LMD=MLA=60  

o

      [ ∵ Alternate interior angles are equal]

∴ ∠MLA=PLB=60  

o

        [ ∵ vertically opposite angles are equal]

=>∠MLB=∠ALP=120  

o

                     [ ∵ vertically opposite angles are equal]

∴ ∠CMQ=60  

o

, ∠QMD=120  

o

, ∠CML=120  

o

, ∠LMD=60  

o

,  

  ∠MLA=60  

o

 , ∠MLB=120  

o

, ∠ALP=120  

o

 and ∠PLB=60  

o

 .      

Step-by-step explanation:

please mark me as brainliest

Answer:

Sec 105= -√6-√2

Cot 150= -√3

Tan 150= -√3/3

Sin 135= √2/2

Cos 135= -√2/2

Cosec 105= √6-√2

Answer:

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.

Step-by-step explanation:

I hope it help you

Answer:

Range is the difference between the highest number in the group and the lowest number so you subtract the highest number from the lowest to get the range

Step-by-step explanation:

(-9)+7-(-3)

-9+7+3

-9+10

1

Answer:

1

Step-by-step explanation:

(-9) +7 is -2 because the brackets here don't change anything

so we have -2 - (-3) two negatives make a positive so - (-3) is basically +3 leaving -2+3 so the answer is 1

Hope this helps!

Answer:

  (2, 5)

Step-by-step explanation:

A 90° CCW transformation is ...

  (x, y) ⇒ (-y, x)

For A(5, -2), the image point is A'(2, 5).

_____

In your mind, draw a line segment from the origin to point A. You will see that is slope is (rise)/(run) = -2/5.

When you rotate that segment 90° CCW about the origin, it will extend into the first quadrant. The rotated segment is perpendicular to the one you started with, so its slope is ...

  -1/(-2/5) = 5/2

That is, it will have a rise of 5 for a run of 2. The point A' will have a x-coordinate of 2 (the run), and a y-coordinate of 5 (the rise).

  A'(2, 5)

Answer:

90 dollars. The total will be $1,590.00.

Step-by-step explanation:

6% of 1500 is 90

We start by converting 6% to a fraction :

6% = 3/50  

Then we have

6% of 1500 = 3/50 x 1500 = 3/50 x 1500/1 = 4500/50

Notice that 1500 was rewritten as the fraction 1500/1, and that to multiply two fractions together, you simply multiply the numerators and denominators.

In order to find the simplest form of the fraction 4500/50 we cancel out the greatest common divisor of 4500 and 50, which is 50 :

4500/50=90/1

So the final answer is

6% of 1500=90

Answer:

The key graphical features obtained from a polynomial function are: the zeros, the turning points and the end behaviour. A "zero" of a polynomial function is an input value that produces an output of zero (0).

Answer:

100

Step-by-step explanation:

5% of 100 is 95 so it becomes 95 when it is reduced by 5%

Answer:

0.9

Step-by-step explanation:

the answer is 95-5/100

=0.9 so the answer is 0.9

I hope this was helpful

Answer:

Step-by-step explanation:

a n = a 1 r n − 1

Answer:

20. J, 21. B

Step-by-step explanation:

20. P = 15 (2) + 8 (2)

      P = 36 ft.

21. 15 - 6 = 9 ft.

Answer:

[tex]\Large \boxed{\mathrm{20. \ 46 \ feet}} \\ \\ \\ \Large \boxed{\mathrm{21. \ 9 \ feet}}[/tex]

Step-by-step explanation:

The perimeter of a rectangle is the sum of all its sides.

[tex]\Rightarrow 15+8+15+8[/tex]

[tex]\Rightarrow 46[/tex]

The distance between the window and the foot of the bed is:

length of the room - length of the bed

[tex]\Rightarrow 15 - 6[/tex]

[tex]\Rightarrow 9[/tex]

Answer: B

Step-by-step explanation:

1. Multiplying two negatives equals a positive.

2. Reduce the numbers with the GCF, 3.

3. Reduce the numbers with the greatest common factor, 2.

4. Multiply the fractions which would give you: 5/6

Answer:

B. 5/6

Step-by-step explanation:

1.multiply -3 by -10 (negative multiplying negative is positive) which will give you 30

2.Then multiply 4 by 9 = 36.

3.u will get 30/36, divide both the numerator and denominator by 6.

4. it will give you 5/6 as an answer.

Answer:

X intercept = (2,0)

Y intercept = (0,-3)

Step-by-step explanation:

To find x intercept make y into 0

3(x) - 2(0) =6

3x = 6

x = 2

X intercept = (2,0)

Y intercept do the same

Y intercept make x into 0

3(0) - 2(y) =6

-2y = 6

y = -3

Y intercept = (0,-3)

Answer:

x -intercept is at (2, 0).

y -intercept is at (0, -3).

Step-by-step explanation:

x intercept is found when y = 0:

3x - 2(0) = 6

3x = 6

x = 2.

x intercept is found when x = 0:

3(0) - 2y = 6

-2y = 6

y = -3.

Answer:

Bruh the answer is 5.

Step-by-step explanation:

2 groups of 2, 1 left over. It's simple.

Answer:

Orion reports a higher density than Guang.

Step-by-step explanation:

Khan said it was right.

Answer: Orion or number 2

Step-by-step explanation:

khan is always correct

Answer:

I would use a bar graph so the bottom of the graph could be the number of books, and the left could be the price. the higher the bar is, the higher the price. It is easy to compare heights of the bars from just looking at the graph.

Answer:

Does anyone know if this is correct please help

Step-by-step explanation:

Answer:

Step-by-step explanation:

250 gals divided by 4.09

answer:61.12

Answer:181/250

Step-by-step explanation:

Answer:

-7 Negative Seven

Step-by-step explanation:

32-39= -7

Work Shown:

x = central angle = 255 degrees

r = radius = 4

A = area of sector

A = (x/360)*pi*r^2 ... see note below

A = (255/360)*pi*4^2

A = 34pi/3

note: the formula only works if the central angle x is in degrees. If x is in radians, then use the formula A = (x/2)*r^2

Step-by-step explanation:

Find the LCM

5, 15, 25

Factorize of the above numbers :

Factorize of the above numbers : 5 = 5

Factorize of the above numbers : 5 = 5 15 = 3 • 5

Factorize of the above numbers : 5 = 5 15 = 3 • 5 25 = 5²

Answer:

poooooooooooooooop mark me as brainliest and thank me and rate me 5 because im white

Step-by-step explanation:

Answer:

4/21

Step-by-step explanation:

Given:

Subject is k, so the following steps are to solve it for k:

Answer is 4/21

Answer:

B

Step-by-step explanation:

SA/V = 300m^2/500m^3 -------- m^2 cancel out and so d othe 100

we get 3/(5m)

Sooo, I guess that's equal to 3/5 1/m and 1/m is m^-1 so we have (B)

Answer: 500m^-1

Step-by-step explanation:

APEX