45 PTS!!! please help! Place the correct inequality interval in the appropriate blank. All intervals are listed with the variable (x) regardless of the variable in the problem. There is one answer for each question.

Answer:

[tex]\displaystyle \frac{(a - b)^{2} - {c}^{2} }{{a}^{2} - {(b+ c)}^{2} } + \frac{(b - c)^{2} - {a}^{2} }{{b}^{2} - {(c+ a)}^{2} } + \frac{(c - a)^{2} - {b}^{2} }{{c}^{2} - {(a+ b)}^{2} }=1[/tex]

Step-by-step explanation:

Algebra Simplifying

We are given the expression:

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

We need to repeatedly use the following identity:

[tex](a^2-b^2)=(a-b)(a+b)[/tex]

For example, the first numerator has a difference of squares thus we factor as:

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

The first denominator can be factored also:

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

Applying the same procedure to all the expressions:

[tex]\displaystyle T=\frac{(a - b- c)(a-b+c) }{a-b-c)(a+b+c) } + \frac{(b - c - a)(b-c+a) }{(b-c-a)(b+c+a) } + \frac{(c - a-b)(c-a+b) }{(c-a-b)(c+a+b)}[/tex]

Simplifying all the fractions:

[tex]\displaystyle T=\frac{a - b- c}{a+b+c} + \frac{b-c+a}{b+c+a } + \frac{c-a+b }{c+a+b}[/tex]

Since all the denominators are equal:

[tex]\displaystyle T=\frac{a - b+ c+b-c+a+c-a+b}{a+b+c}[/tex]

Simplifying:

[tex]\displaystyle T=\frac{a +c+b}{a+b+c}[/tex]

Simplifying again:

T = 1

Thus:

[tex]\boxed{\displaystyle \frac{(a - b)^{2} - {c}^{2} }{{a}^{2} - {(b+ c)}^{2} } + \frac{(b - c)^{2} - {a}^{2} }{{b}^{2} - {(c+ a)}^{2} } + \frac{(c - a)^{2} - {b}^{2} }{{c}^{2} - {(a+ b)}^{2} }=1}[/tex]

Answer:

Siblings r annoying

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

HA GODE

Answer:

7x + 2y = -17

Step-by-step explanation:

Answer:

Every inch is equal to 9 feet

Step-by-step explanation:

45/5= 9

Answer:

3.25 × 10^6

Step-by-step explanation:

7.57×10^6 - 4.32 × 10^6

(7.57 - 4.32) × 10^6

3.25 × 10^6

Answer:

4n-2x-6

Step-by-step explanation:

Let's simplify step-by-step.

4(n−3)−2(−3+x)

Distribute:

=(4)(n)+(4)(−3)+(−2)(−3)+(−2)(x)

=4n+−12+6+−2x

Combine Like Terms:

=4n+−12+6+−2x

=(4n)+(−2x)+(−12+6)

=4n+−2x+−6

Answer:

=4n−2x−6

Answer:

$15.32 per game

Step-by-step explanation:

45.96/3 = 15.32

Answer:

Step-by-step explanation:

22. Area = L x B

     Area = (5a^2b^4) x (3ab^2)

      Area = 15a^3b^6

     Perimeter = L + B

    Perimeter = (5a^2b^4) + (3ab^2)

    Preimeter = 5a^2b^4 + 3ab^2

23. Area = 1/2 bh

     Area = 1/2 (3mn^2) x (4m^2)

     Area =6m^3n^2

    Perimeter = L + B + H

    Perimeter = 3mn^2 + 4m^2 + 7mn^2

    Perimeter = 10mn^2 + 4m^2

Answer:

0.992

Step-by-step explanation:

do you not have a calculator

Answer:

0.992

Step-by-step explanation:

1 - 0.008 = 0.992

Answer:

40° or 40.03 degrees or 25 inches as nilla mentioned.

Answer:

y=2x

Step-by-step explanation:

It goes up by 2 units every x value so

Answer:

y=2x is your correct answer

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer:

144 m^2

Step-by-step explanation:

the front side is 9 m tall and 6 m long. The formula for the surface are of triangles is W*L/2, so 9*6=54, 54/2=27. Four sides are the same, so multiply 4 to get 108m. the the faced down part is 6m by 6m, so multiply 6*6 is 36, then add up 36 + 108 = 144m.

Answer:

[tex]13 \frac{1}{3} c - 1 \frac{1}{2} [/tex]

Step-by-step explanation:

We want to combine alike terms so

-2/3c+14c & -9/5+3/10

14c-2/3

[tex] \frac{14}{1} c - \frac{2}{3} c[/tex]

Multiply 14/1 by 3/3 to get the denominators the same

[tex] \frac{42}{3} c - \frac{2}{3} c[/tex]

Subtract

[tex] \frac{40}{3} c[/tex]

simplify

[tex]13 \frac{1}{3} c[/tex]

now

[tex] \frac{3}{10} - \frac{9}{5} [/tex]

Multiply 9/5 by 2/2

[tex] \frac{3}{10} - \frac{ 18}{10} [/tex]

Subtract

[tex] - \frac{15}{10} [/tex]

Simplify

[tex] - 1 \frac{1}{2} [/tex]

put both together

[tex]13 \frac{1}{3}c - 1 \frac{1}{2} [/tex]

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

40/3 c-3/2

Step-by-step explanation:

calculate the sum

-2/3c-9/5+14c+3/10

40/3c -9/5+3/10

40/3c-3/2

=40/3c-3/2

Answer:

A

Step-by-step explanation:

Answer:

A represents the position of -2.2

Answer:

false

false

true

Step-by-step explanation:

if it has brackets just take them away and the negative symbol

Answer:

1) | - 4 | < | -6 | is true

2) | - 1 | > | 7 | is false

3) | -8 | < - 2 is false

Step-by-step explanation:

We need to find if the statements are true or false.

1) | - 4 | < | -6 | true or false

We know that:

|-4| = 4

|-6| = 6

Now, 4 < 6 is true

So, | - 4 | < | -6 | is True

2) | - 1 | > | 7 | true or false

We know that:

|-1| = 1

Now, 1 > 7 is false, because 1 is less than 7 and not gr eater than 7.

So, | - 1 | > | 7 | is false

3) | -8 | < - 2 true or false

We know that

|-8|= 8

Now, 8 < 2 is false, because 8 is not less than 2, it is greater than 2.

So, | -8 | < - 2 is false

Answer:

The first choice:  x^5/6 + 2x^7/3

Step-by-step explanation:

= x^1/3 * x^1/2 +  x^1/3 * 2x^2

= x^(1/2+1/3) + 2x(1/3 + 2)

= x^5/6 + 2x^7/3

Answer:

x^5/6 + 2x^7/3

Step-by-step explanation:

Applying the distance formula, the distance between the the Math building to the History building is: 5 units.

To find the distance between two given points on a coordinate grid, the distance formula which is used is: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

Given the following:

Plug in the values into the distance formula:

d = √[(4−1)² + (9 − 5)²]

d = √[(3)² + (4)²]

d = √(9 + 16)

d = √25

d = 5

Distance between the the Math building to the History building is: 5 units.

Learn more about the distance formula on:

https://brainly.com/question/20978526

#SPJ1

Answer:

I think it is c, sorry if I am wrong.

Answer:

-2<=x<=5

Step-by-step explanation:

|2x - 3|< =7

-7<=2x-3<=7

-4<=2x<=10

-2<=x<=5

Answer:

sister = 6 years

John=18 years

Step-by-step explanation:

A(S) + 12 = 3 * A(S), subtracting A(S) from both sides one gets 12 = 2 * A(S). Now dividing both sides by 2 we get A(S) = 12/2 = 6 . Therefore, the age of the sister is 6 years when her brother John is three times as old, that is 18 years.

Answer:

36-x=y

y*3=x

x+y=36

Step-by-step explanation:

I wasnt really sure how to write the equation the way you're supposesd to?

John is 27 and his sister is 9. 9*3=27

I just used guess and check sorry

my color hair is yellow and I don't dyed it

Answer:

my hair is rainbow and has been for a few weeks now. my brother came out gay and I dyed my hair to support him and now it won't wash now. it's pretty tho

Answer:

The commission is $43.20

Step-by-step explanation:

Given that:

Amount of sales = $540

Commission rate = 8%

We have to find the amount of commission from the sales of $540.

Amount of commission = 8% of sales

Amount of commission = [tex]\frac{8}{100}*540[/tex]

Amount of commission = 0.08 * 540

Amount of commission = $43.20

Hence,

The commission is $43.20

Answer:

T = 3

Step-by-step explanation:

Answer:0.16

Step-by-step explanation:16/100 as a decimal is 0.16.

Answer:

0.16

Step-by-step explanation:

16 ÷ 100 = 0.16 hope this helps

Answer:

I can't see it clearly but I can explain to you how to graph it on a number line :)

Step-by-step explanation:

Imagine the sign pooping the other way. Like > ___ The sign is pooping a LINE where the shorter angle is. So if the inequality was x>3 , You would put a dot on the 3 and do a line going right. Now to figure out if the dot is open or closed, it depends on the sign. If the sign is open, the sign is either > or <. If it is closed, the sign is either ≥  or ≤.

Answer:

It will take 5.68 seconds to cover a distance of 100 meters.

Step-by-step explanation:

Given that:

A greyhound dog runs with a top speed of 17.6 m/s

Distance to cover = 100 meters

We know that:

Distance = Speed * Time

Putting the values in formula

100 = 17.6 * Time

Time = [tex]\frac{100}{17.6}[/tex]

Time = 5.68 seconds

Hence,

It will take 5.68 seconds to cover a distance of 100 meters.

Answer:14%

Step-by-step explanation:

Dived $308 by the total $2200 and you get a .14 multiply that by the 100 to get percentage and you get 14%