Mathematics High School

Rationalize the denominator and simplify. I will give brainliest
(\sqrt(a+1)-2)/(\sqrt(a+1)+2)

Answers

Answer 1

Answer:

(\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)

Step-by-step explanation:

To rationalize the denominator, you have to multiply the denominator and the numerator by (\sqrt(a+1)-2) (which doesn't change the value of the fraction)

You get: (\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)

Related Questions

What is the radius of a circle whose equation is (x – 7)2 + (y – 10)2 = 4? 2 units 4 units 8 units 16 units

Answers

Answer:

A. 2 units

Step-by-step explanation:

took the test and got it right

The radius of the circle is r = 2 units

What is a Circle?

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the equation of the circle be represented as A

Now , the value of A is

( x - 7 )² + ( y - 10 )² = 4

The equation ( x - 7 )² + ( y - 10 )² = 4 represents a circle in standard form, where the center of the circle is located at the point (7, 10) and the radius is the square root of the number on the right side of the equation

Taking the square root of 4, we find that the radius of the circle is 2 units

Hence , the radius is r = 2 units

To learn more about circle click :

https://brainly.com/question/28391204

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Write an equation in slope-intercept form of the line that passes through the given point
and the given slope.
(-2,-4); m = -3
O y=-3x - 6
O y=-3x - 10
O y=-3x + 10
O y=-3x + 2

Answers

Answer:

it's y=-3x-10

How many solutions exist for the system of equations in the graph?

Answers

Which graph??????????????????

Solve.

(Sorry About my handwriting)
​

Answers

Answer: the answer is gonna be a decimal which is Decimal: 145.333333 the 3 is repeated it keeps going forever

How to slove this equation in simple form -9(8v-2v)+10b - (100v+6)

Answers

Answer:

- 154v + 10b - 6

Step-by-step explanation:

-54v + 10b - 100v - 6

-154v + 10b - 6

helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

28/5= 5 3/5
41/6= 6 5/6
42/9=4 2/3
31/3=10 1/3
70/6=11 2/3
sorry if i’m late I don’t know how to write explanations

Richard's living room is 8 yards wide and 8 yards long. He wants to install pink carpet that costs $1.00 per square yard. How much will it cost to buy enough carpet for the living room?

Answers

Answer:

$64.00

Step-by-step explanation:

8x8=64 (64 yards)

64x1=64

It would cost 64 dollars to buy enough carpet for the living room.

A?
B?
C?
D?

Number 10 on conexus <3
If correct I’ll give brainlest

Answers

D lol exactly yiu yeah arte yr

find the distance between find the distance between following points: a) M(5,4) and N(2, 3)​

Answers

Answer:

sqrt(10)

Step-by-step explanation:

[tex] \sqrt[2]{ x_{2} - x_{1}) + ( y_{2} - y_{1})} [/tex]

how much does 1/3 package weigh

Answers

Answer:

1/3 package of what

Step-by-step explanation:

Please answer this ASAP
Solve for x.
5x−3=13−3x

A: x=-2
B: x= -5
C: x=2
D: x=5

Answers

Answer:

c: x=2

Step-by-step explanation:

5x-3= 13-3x

   +3      +3

5x=16-3x

+3      +3

8x=16

divide all of it by 8 and thats how you get your answer

PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:dunno

Step-by-step explanation:

It’s c I think…………….. had to make this 20 characters

Compare 2/5 and 8/10

Answers

Answer:

2/5 is 4/10. 8/10 is 2 time greater than 2/5.

Step-by-step explanation:

4/10= 0.8, which can be written 8/10.

Make me brainlist.

if l || m find the value of y

Answers

That means they are parallel so it’s 6

Calculator
What is the value of a?

Answers

Answer:

15

Step-by-step explanation:

20^2 + x^2 = 25^2

= 400 + x^2 = 625

= x^2 = 225

= x = 15

Answer:

15

Step-by-step explanation:

20^2 + x^2 = 25^2

= 400 + x^2 = 625

= x^2 = 225

= x = 15

You know what to do

helppppppppppppppppppppppppppp

Answers

Answer:

-1/2

Step-by-step explanation:

It is negative because of the direction the line.

It is one half because it rises one and runs two.

I hope this helps!

Answer:

The slope is -1/2

The slope intercept is 2

The form is y = 2 - 1/2x

What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1

Answers

-10 < x - 9

Reverse the equation to get x on the left side"

x-9>-10

Add 9 to both sides:

X >-1

Answer: x > -1

2) Last Friday, Trevon had $17.64.
He received money from mowing
the yard. Trevon now has $32.18
How much money did he receive?

Answers

Answer:

$14.54

Step-by-step explanation:

We use the equation 32.18-17.64 to find our answer of $14.54

PLZZ HELP
What is the common difference of the arithmetic sequence? 7, 2, -3, -8, -13,...​

Answers

Answer:

Subtract 5 from the number before.

Step-by-step explanation:

7-5=2, 2-5=-3, -3-5=-8, -8-5=-13

rewrite expression as a single power. 5^3/5^6

Answers

Answer:

1/125

Step-by-step explanation:

Simply subtract the exponents

in this case 6 - 3 so then its now 5 / 5^3

now just make the numerator a 1

1 / 5^3

5x5x5 = 125

1/125

Answer:

0.008

Step-by-step explanation:

i did 5 to the 3rd power which is 125

Then i did 5 to the 6 power and got 15625

finally I divided the answers and got  0.008   or in 125

1 point 36. The length of a rectangle shape is 7.5 cm and the with is 3 cm. What is the area of the shape? OA A). 22.5 cm B). 23 cm O C). 22.5 cm D). 23 cm​

Answers

Answer:

A). and C). 22.5 cm

Hope it helps:)

HELP ME PLEASE REALLY NEED DONE INE the NEXT 3 MINUTES

Answers

The ANSWER is C. 6000

help please and NO LINKS

Answers

Answer:

B

Step-by-step explanation:

A trapezoid has only two parallel sides while a parallelogram has 2 pairs of parallel sides.

Which of the following values are in the range of the function graphed below?
Check all that
apply.

Answers

Answer:

(-2,1)(-1,1)(0,1)(1,1) or y=2 x=[-2,1]

Step-by-step explanation:

Brainliest Please

Solve ln 2 + ln x = 5 . Round to the nearest thousandth, if necessary. show work please

Answers

[tex]\ln 2 + \ln x = 5\\\\\implies \ln(2x) = 5\\\\\implies 2x = e^5\\\\\implies x = \dfrac{e^5}2 = 74.207[/tex]

Mitch is attending a 4-year college. As a freshman, he was approved for a 10-year, federal
unsubsidized student loan in the amount of $8,100 at an APR of 4.29%. Mitch decides to
make no payments during the 4.5-year deferment period. After interest is capitalized at the
end of the 4.5-year period, what will his new principal amount be?

Answers

Answer:

Interest capitalization occurs when unpaid interest is added to the principal amount of your student loan. When the interest on your federal student loan is not paid as it accrues (during periods when you are responsible for paying the interest), your lender may capitalize the unpaid interest.

Step-by-step explanation:

Mean of 72, 75, 78, 72, 73

Answers

to find the mean you add all the numbers together

72 + 75 + 78 + 72 + 73 = 370

then you divide by the number of numbers there are

370/5= 74

74

72+75+78+72+73 = 370

370/5 = 74

Quadrilateral Properties
Match the properties to the shape. Properties may be used more than once and shapes may have more than one property.
MANY POINTS FOR HELPING PLEASE!!!

Answers

1. At the very top is 2 pairs of equal adjacent sides. In top left corner
I hope I helped somewhat!!

pls help pls no links ​

Answers

Answer:

d

Step-by-step explanation:

when you are dividing like numbers with different exponents, subtract them

given the line y=-2x - 1 and the point (4,4) find the equation of the line perpendicular to the given line

Answers

Answer:

y= (1/2)x + 2

Step-by-step explanation:

yeah-ya.......... right?

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