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ELEN [110]
3 years ago
11

How do I rationalize a denominator containing a higher-order root?

Mathematics
1 answer:
AVprozaik [17]3 years ago
6 0

How to rationalize the denominator with square roots?

So, in order to rationalize the denominator, we need to get rid of all radicals that are in the denominator.

Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator. ...

Step 2: Make sure all radicals are simplified. ...

Step 3: Simplify the fraction if needed.

hope this helps!

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Help please!! Triangle QRS is similar to triangle TUV. Write the equation, in slope-intercept form, of the side of triangle QRS
Vanyuwa [196]

Answer:

  y = x +9

Step-by-step explanation:

Side RS of triangle QRS is the one that is parallel to side UV. Being parallel, it has the same slope as UV. We observe that UV has a "rise" of 3 units (from 2 to 5) and a "run" of 3 units (from 1 to 4). Its slope is ...

  m = rise/run = 3/3 = 1

__

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

We observe that point S has coordinates (-8, 1), so we can write the equation of line RS in point-slope form as ...

  y -1 = 1(x -(-8))

Adding 1 to both sides and simplifying, we have the slope-intercept equation ...

  y = x +9

3 0
2 years ago
1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the
Mice21 [21]

Answer:

Part 1) Helen's age is 32 years old and Jane's age is 24 years old

Part 2) 13 twenty-dollar bills

Step-by-step explanation:

Part 1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the equation?

Let

x----> Helen's age

y---> Jane's age

we know that

x=y+8 ----> equation A

(x-20)=3(y-20) -----> equation B

substitute equation A in equation B and solve for y

(y+8-20)=3(y-20)

y-12=3y-60

3y-y=60-12

2y=48

y=24 years

Find the value of x

x=y+8

x=24+8=32 years

Part 2)

Let

x-----> the number of five-dollar bills

y----> the number of twenty-dollar bills

we know that

5x+20y=305 -----> equation A

y=x+4 ------> x=y-4 ------> equation B

substitute equation B in equation A and solve for y

5(y-4)+20y=305

5y-20+20y=305

25y=325

y=13 twenty-dollar bills

Find the value of x

x=y-4

x=13-4=9  five-dollar bills

5 0
3 years ago
208 divi by 6.4 What is the quotient for the equation above?
andrey2020 [161]

Answer:

B

Step-by-step explanation:

208 divided by 6.4 = 32.5

8 0
3 years ago
Read 2 more answers
What is the developed form of 2(3x-10)
vovikov84 [41]
The first step to finding the developed form is to multiply each term in the parenthesis by 2
2 × 3x - 2 × 10
now,, youll need to calculate the product of the first multiplication set
6x - 2 × 10
finally,, multiply the last set of numbers
6x - 20
this means that the correct answer to your question is 6x - 20.
let me know if you have any further questions
:)
6 0
4 years ago
Read 2 more answers
What is the midpoint of the segment shown below
Artyom0805 [142]

Answer:

wheres the points

Step-by-step explanation:

6 0
3 years ago
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