Solve:
(a+b+c) (a+b-c)

Answer:

1/5 and 9/4

Step-by-step explanation:

Reciprocal is basically the vertically flipped version of the original number. To find the reciprocal, rewrite the numbers in fractions and then swap the numerator and the denominator. So 5/1 becomes 1/5, 4/9 becomes 9/4.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The reciprocal of a number [x] is given by [1/x].

We have the following numbers -

5 and 4/9

We can write -

x = 5

y = 4/9

So, the reciprocal of [x] would be [1/x]. Therefore, the reciprocal of 5 will be 1/5.

The reciprocal of [y] would be [1/y]. Therefore, the reciprocal of 4/9 will be 9/4.

Therefore -

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{-|4ab - c|}}\\\large\boxed{\mathsf{= - |4(-6)(3) - 2|}}\\\large\boxed{\mathsf{= -|(-24)(3) - 2|}}\\\large\boxed{\mathsf{= -|-72 - 2|}}\\\large\boxed{\mathsf{= - |-74|}}\\\large\boxed{\mathsf{= |-74|}}\\\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ A. -74}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

the answer to your question is 9cm² for the Area

the answer is 9 cm square

Rewriting the equation, it is found that the resistance [tex]R_2[/tex] is given by:

[tex]R_2 = \frac{R_TR_1}{R_1 - R_T}[/tex]

The equation given for [tex]R_T[/tex] as function of [tex]R_1[/tex] and [tex]R_2[/tex] is:

[tex]R_T = \frac{R_1R_2}{R_1+R_2}[/tex]

Applying cross multiplication:

[tex]R_TR_1 + R_TR_2 = R_1R_2[/tex]

[tex]R_1R_2 - R_TR_2 = R_TR_1[/tex]

[tex]R_2(R_1 - R_T) = R_TR_1[/tex]

[tex]R_2 = \frac{R_TR_1}{R_1 - R_T}[/tex]

A similar problem is given at https://brainly.com/question/24272167

Answer:

1/2.....9......all real numbers......y > 0

Step-by-step explanation:

got this right on edge 2021. hope this helps

Answer:

The initial value is

✔ 1/2

.

The simplified base is

✔ 9

.

The domain is

✔ all real numbers

.

The range is

✔ y > 0

.

Step-by-step explanation:

Answer:

1. Less Than

2. Greater Than

Step-by-step explanation:

You know that 1/2 is equal to 4.5/9

So, 2/9 would be less than 1/2.

You know that 1/2 is equal to 5/10

So, 9/10 is greater than 1/2.

Compare each fraction by setting each fraction to the same denominator.

Answer:

B. 12 per 16 minutes

Step-by-step explanation:

4x4=16, so multiply 3×4 to get 12.

Answer:

Its the bottom one x>5

Step-by-step explanation:

Answer:

Ms. Neville graded 80% of the papers and the student teacher graded 20% of them.

Step-by-step explanation:

Given a total of 75 papers, and Ms. Neville graded 60 of them, 15 remain for the student teacher. 75 - 60 = 15

Ms. Neville graded 60/75 = 0.8 = 80% of papers.

The student teacher graded 15/75 = 0.2 = 20% of papers.

Sanity check: 80% + 20% = 100%

Answer:

the answer is f(x) =x-0.15x

Step-by-step explanation:

The four consecutive odd numbers are  - 11, - 9, - 7, - 5.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let the four consecutive integers be n, (n + 2), (n + 4), and (n + 6).

Given, 5 times the sum of the first and the third was 22 greater than the product of 8 and the sum of the second and the fourth.

∴ 5(n + n + 4) = 8(n + 2 + n + 6) + 22.

5(2n + 4) = 8(2n + 8) + 22.

10n + 20 = 16n + 64 + 22.

10n - 16n = 86 - 20.

- 6n = 66.

n = - 11.

So, The numbers are - 11, - 9, - 7, - 5.

learn more about numerical expressions here :

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Answer:

-5b <= -34

Step-by-step explanation:

The inequality phrase, "at most" is same as "less than or equal to". So the algebraic inequality would be -5b <= -34. To solve for b, divide both sides by -5 and make sure to switch the inequality symbol to >= when dividing or multiplying inequalities by a negative number. So b >= 34 / 5.

Answer:

look at the picture ..........

Answer:

y=1

x=-2

Step-by-step explanation:

Lets use substitution for the first equation:

-4x=5+3y

Divide by -4 on both sides : x=-5/4-3/4y

Now we substitute x into the second equation:

3(-5/4-3/4y)-2y=-8

Simplify : -15/4-9/4y-2y=-8

Combine Like Terms : -15/4-17/4y=-8

Isolate the Variable : -17/4y=-17/4

y=1

Now we get that x is -5/4-3/4, which is -8/4=-2

x=-2

Step-by-step explanation: The mode is the number that appears most frequently in a data set. If no Number repeats at all, then there is no mode. A data set can also have multiple modes if different numbers repeat the same amount of times.

Answer:

-4

Step-by-step explanation:

Y2 = -24 and Y1 = 0

X2 = 0 and X1 = -6

Y2-Y1/ X2- X1= -24 - 0/ 0 - (-6) = -4

y= -4x + c

y + 4x= c

Answer:

C is my answer

You cam correct me if im wrong in the comments

Answer:

a) 20.9ft b)148.5ft c)98.2ft d)50.3

Step-by-step explanation:

for a, b and c you can use SOHCAHTOA

a) sin(8)=height/150 so height=150sin(8)

b)cos(8)=distance/150 rearrange the same way

c)use SOHCAHTOA but with the value you got from a ad the 12 degree angle

d) subtract the value found in c from the value found in a

Answer:

1 # 2 = 4

Step-by-step explanation:

1 # 2 = 2*1 + 2 = 2 + 2 = 4

Answer:  g(4n+5) = 16n^2 + 40n + 30

Step-by-step explanation:

g(n)=n^2-4

h(n)=4n+5

find g°h

g°h is g(4n+5) = (4n+5)^2 + 5

g(4n+5) = (16n^2 + 40n + 25) + 5

g(4n+5) = 16n^2 + 40n + 30

Answer:

b)

x=65+32 [ being ext. angle of triangle is equal to the sum of two opposite interior angle]

therefore x=97°

Answer:

14.07

Step-by-step explanation:

First we need to add 5 percent to the 67 dollar cost. Which makes the price 70 dollars and 35 cents. 20 percent of 70.35 is 14.07 so the discount is 14.07

Hope this helps

Answer:

41.67

Step-by-step explanation:

Using the tangent on the stick with shadow:

tan(θ) = [tex]\frac{1}{0.6}[/tex]

Using the tangent on the building:

tan(θ) = [tex]\frac{h}{25}[/tex]

⇒ h = 25 · tan(θ)

       = 25 · [tex]\frac{1}{0.6}[/tex]

⇒ h = 41.66... ≈ 41.67

Answer:

3.29

Step-by-step explanation:

4.32+6.86=11.18

11.18-7.89=3.29

15 to 19 was about a 27% in increase

Answer:

No factorizable, está en su forma más simple

Step-by-step explanation:

Find the common factor by grouping the terms of the following exercises

3m[tex]2^{2}[/tex] --> Not factorable, is in simplest form.

Hallar el factor comun por agrupacion de terminos de los siguientes ejercicios

3m[tex]2^{2}[/tex] --> No factorizable, está en su forma más simple.

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Explicación: Solo puede factorizar, o simplificar, una ecuación o solo variables, si la variable que tiene un exponente tiene la misma base que otra variable, como x ^ 2 y x ^ 3, puede simplificarla ax ^ 5. Ahora, en este problema tenemos un 3, y 2 ^ 2, en el 2 ^ 2, 2 es la base y el otro número es 3, que definitivamente no es la misma base, por lo que no puede factorizarlo más, y deje la variable a lo largo.

Answer:

294

Step-by-step explanation:

Scale factor is 3.5 (If you go from the smaller image to the bigger image).

7 x 3.5 = 24.5 feet

since the question is asking you for the answer in inches you have to multiply 24.5 by 12 which gives you 294

Answer:

For example, a borrower takes a $100,000 loan with a 6% annual interest rate for three years.

Step-by-step explanation:

Have a GREAT DAY !