Rationalize the denominator and simplify. √a+1 - 2 / √a+1 + 2

Answer:

I think a is 9 cause 9+ 8 is 17 ??

The value of A,B,C,D and E will be 23,25,7 15 ,and 9 respectively.

A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There could be only two terms, but there could be one hundred, thousand, or a million. There are summations with an infinite set of parameters.

If we make the sum of each side diagonally then the sum should be 48.

So,

D+ 16 + 17 = 48

D = 15

And

15 + B + 8 = 48

B = 25

And,

25 + 16 + C = 48

C = 7

And,

8 + A + 17 = 48

A = 23

And,

15 + E + 24 = 48

E = 9

Hence "The value of A,B,C,D and E will be 23,25,7 15 ,and 9 respectively".

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Answer:

x=3y−1x=3y-1

x+2y=9x+2y=9

Replace all occurrences of xx with 3y−13y-1 in each equation.

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Replace all occurrences of xx in x+2y=9x+2y=9 with 3y−13y-1.

(3y−1)+2y=9(3y-1)+2y=9

x=3y−1x=3y-1

Add 3y3y and 2y2y.

5y−1=95y-1=9

x=3y−1x=3y-1

Solve for yy in the first equation.

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Move all terms not containing yy to the right side of the equation.

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Add 11 to both sides of the equation.

5y=9+15y=9+1

x=3y−1x=3y-1

Add 99 and 11.

5y=105y=10

x=3y−1x=3y-1

Divide each term by 55 and simplify.

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Divide each term in 5y=105y=10 by 55.

5y5=1055y5=105

x=3y−1x=3y-1

Cancel the common factor of 55.

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Cancel the common factor.

5y5=1055y5=105

x=3y−1x=3y-1

Divide yy by 11.

x=5,y=2

Step-by-step explanation:

please mark me as brainliest thank you

Answer:

5(x - 5)(x + 4)

Step-by-step explanation:

Given

5x² - 5x - 100 ← factor out 5 from each term

= 5(x² - x - 20) ← factor the quadratic

Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (- 1)

The factors are - 5 and + 4, since

- 5 × 4 = - 20 and - 5 + 4 = - 1, then

x² - x - 20 = (x - 5)(x + 4) and

5x² - 5x - 100 = 5(x - 5)(x + 4)

Answer:

Step-by-step explanation:

here you go mate

step 1

5x2 − 5x − 100  equation

step 2

5x2 − 5x − 100  factor

5x^2 - 5x - 100 = 5

answer

5(x+4)(x-5)

Answer:

20/54

Step-by-step explanation:

Answer:

m = [tex]\frac{5}{7}[/tex]

Step-by-step explanation:

A( [tex]x_{1}[/tex] , [tex]y_{2}[/tex] )

B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

[tex]m_{AB}[/tex] = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~

(0, 2)

(7, 7)

m = [tex]\frac{7-2}{7-0}[/tex] = [tex]\frac{5}{7}[/tex]

Answer:

a) 200 meters = 3.125 meters/seconds

b) 400 meters = 2.649 meters per second

c ) 1000 meters = 2.320 meters per second

Step-by-step explanation:

The formula for Average speed = Distance/ Time

Monica swims the 200, 400, and 1,000 meter freestyle swimming events.

We are to calculate: average speeds in all these events (meters/second).

At the last swimming meet she swam

For the 200m

Time 1 minute 4 seconds

60 seconds = 1 minutes

Hence, Time = 60 + 4 = 64 seconds.

Average speed = 200m/64 seconds

= 3.125 meters/seconds

For 400m

Time = 2 minutes 31 seconds

1 minute = 60 seconds

2 minutes = 60 × 2 = 120 seconds

Total time = 120 + 31 seconds = 151 seconds

Hence, Speed = 400m/151 seconds

= 2.649 meters per second

For 1,000 meter

Total time = 7 minutes 11 seconds.

1 minute = 60 seconds

7 minutes = 60 × 7 = 420 seconds

Total time = 420 + 11 seconds = 431 seconds

Hence, Speed = 1000m/431 seconds

= 2.3201856148 meters per second

Approximately = 2.320 meters per second

Therefore her speed were

a) 200 meters = 3.125 meters/seconds

b) 400 meters = 2.649 meters per second

c ) 1000 meters = 2.320 meters per second

Answer:

3.125m/s

2.469 m/s

2.320 m/s

Step-by-step explanation:

Average speed = total distance / total time

60 seconds = 1 minute

Converting minute into second = (1 x 60) + 4 = 64 seconds

(2 x 60) + 31 = 151 seconds

(7 x 60) + 11 = 431 seconds

Average speed = 200 meters / 64 seconds = 3.125m/s

Average speed = 400 meters / 151 seconds = 2.469 m/s

Average speed = 1000 meters / 431 seconds = 2.320 m/s

Answer:

you didnt add a picture but i assume you want the percentage of tax which would be 8%

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y = ²/₅x + 1    ⇒     m₁ =  ²/₅

²/₅m₂ = -1        ⇒   m₂ = -⁵/₂

So, any line with slope m =  -⁵/₂ will be perpendicular to y = ²/₅x + 1  

Answer:

x + 3x = $400

the jacket cost price of Cindy nd Jill is $100 and $300 respectively

Step-by-step explanation:

The computation is shown below:

Here we assume the cindy be x

So the Jill be 3x

Now the equation is

x + 3x = $400

4x = $400

x = $100

So the Cindy jacket cost is $100

And, the Jill jacket cost would be

= 3x

= 3(100)

= $300

Hence, the jacket cost price of Cindy nd Jill is $100 and $300 respectively

Answer:

Step-by-step explanation:

Answer:

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

Ignore the capital A for this equation when it is ax^2+bx+c=0

Answer:

I solved it for u!

Hope it helps

Step-by-step explanation:

Another way, it an isosceles triangle so the base will be same, so angle 3 and angle 1 will be same after u find angle 3, then angle 1 will be equal to it

So here angle 3 = 64°

So angle 1= 64°

Answer:

i think 3.20

Step-by-step explanation:

im not sure

Answer:

3^4x-5=1/27^2x+10

We move all terms to the left:

3^4x-5-(1/27^2x+10)=0

Domain of the equation: 27^2x+10)!=0

x∈R

We get rid of parentheses

3^4x-1/27^2x-10-5=0

We multiply all the terms by the denominator

3^4x*27^2x-10*27^2x-5*27^2x-1=0

Wy multiply elements

81x^6-270x^2-135x^2-1=0

We do not support expression: x^6    

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Area of a square equals to the square of its side, therefor the side of a given area for a square is the square root of the area.

[tex]A = a^{2}\\a = \sqrt{A}\\a = \sqrt{110} = 10.48 ft[/tex]

Answer:

I solved it for u!

Hope ot helps!!!

Answer:

The ticket increased 57% of its original price

The baggage price was 44.5 increased 0.11% and then became 50

Step-by-step explanation:

So if the amount was 200 and now is 350, we should use division.

200 ÷ 350 = 0.5714285714285714 which you can round to 0.57 or as many digits as the question asked for. In thise case I will use 0.57

0.57 converted to percentage is 57%

About the second question

now you know the amount after increase and the percentage. So all you have to do is reverse.

11% = 0.11

0.11  ✕ 50 = 5.5    

this means the price increased 5.5

50 - 5.5 = 44.5

Answer:

The answer to your question is 16.3.

Answer:

D.

Step-by-step explanation:

You can see that the first value(initial) of y is 20 and the difference of the preceding values is 10 but it is decreasing thus -10

Answer:

1 - 26

2 - 13

3 - n/a

4 - n/a

5 - n/a

6 - n/a

7 n/a

8 n/a

9/10/11/12 - all n/a

Step-by-step explanation:

Answer:

2 and 13

Step-by-step explanation:

Answer:

The answer is 3 7/12 Hope this helps :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is the value of 1 − 2sin^2(105°)?

Given the expression

1 − 2sin²(105°)

= 1 - 2(sin105)²

= 1 - 2(0.9659)²

= 1 - 2(0.9330)

= 1 - 1.8660

= 0.8660

0.8660 can also be expressed as √3/2

Hence  1 − 2sin²(105°) is  √3/2

Answer: D

Step-by-step explanation:

It IS sqrt3/22

Answer:

18 inches, assuming that the height is the length of the TV screen.

Step-by-step explanation:

First off, the shape of a TV screen is a rectangle.

To get the area of a rectangle, the equation would be:

H * W = A

where H = height, W = Width, and A = area.

If we pluck in the values given in the question, we get:

H * 32 = 576

To find out H, we have to get rid of the 32.

To do that, we divide both sides by 32.

Therefore, the equation is now:

H = 18.

Thus, the height of the TV screen is 18 inches.

Answer: h = 18 inches

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

4 times 8 = 32. 56 - 32 = 24. 24 divided by 4 = 6.

Answer:

A.

Step-by-step explanation:

You need to solve for p on both inequalities.

4 ≤ p - 8

12 ≤ p

p - 14 ≤ 2

p ≤ 16

This means that p is greater than or equal to 12 but less than or equal to 16.

12 ≤ p ≤ 16

Therefore, the answer is A.

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

7x+10=3x+13

Step 1: Subtract 3x from both sides.

7x+10−3x=3x+13−3x

4x+10=13

Step 2: Subtract 10 from both sides.

4x+10−10=13−10

4x=3

Step 3: Divide both sides by 4.

4x/4=3/4

x=3/4

Answer: that is the answer to both

Step-by-step explanation:

Answer:

equation: b+(b-4)=348

Step-by-step explanation:

B+t=348

b+ 1(b-4)=348

b +b -4=348

this is if u want what b is

2b-4=348

2b-4+4=348+4

2b= 352

2b÷2 = 352÷2

b=176

Answer: 18

Step-by-step explanation:

Answer:

Step-by-step explanation:

here you go mate :)

step 1

2(x + 4) = -6  solving for x

step 2

2(x + 4) = -6  simplify by distributing

2x+8=-6

step 3

2x+8=-6  subtract 8

2x=-14

step 4

2x=-14  look for the number that can divide them both like 2

2x/2=-14/2

answer

x=-7