Click an item in the list or group of pictures at the bottom of the problem

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Simplify by using radical. Rationalize denominators. 2a^-1\2

2 months ago

Solution 1

Guest Guest #11088
2 months ago
2a^-1/2 = 2/ a^1/2= 2/SR of a= 2 SR of a/a

SR equals the square root sign

📚 Related Questions

Jim Tree borrowed $1,000 at 10 percent for one year. He paid a $45 processing fee and $100 in interest. He calculated the APR to the nearest tenth.
Solution 1


The APR is 14.5%

Step-by-step explanation:

APR is Annual Percentage Rate which is levied on the amount borrowed.

Jim Tree borrowed $1,000 at 10 percent for one year.

He paid a $45 processing fee and $100 in interest.

So, the total finance charge is = 400+45=145

Therefore, the APR is = \frac{145}{1000} = 0.145

And in percentage it is 0.145\times100=14.5%

Hence, the answer is 14.5%

Solution 2
The finance charge is $145. $100 interest + $45 processing fee. So the APR $145/$1000= 0.145. remember to move the decimal 2 places to the right. so the answer it 14.5% APR.
For f(x)=4x+1 and g(x)=x^2+5, find (f+g)(x)
Solution 1
For f(x)=4x+1 and g(x)=x^2+5 

(f+g)(x) = 
4x +1 + x^2 + 5 
(f+g)(x) = x^2  + 4x + 6

hope that helps
The width of a rectangle is 5 inches less than twice the length. The area of the rectangle is 700 square inches. What is the length of the rectangle?
Solution 1
To calculate the length of the rectangle we let the length be x in, let width be
(2x-5) inches
The area will be given by:
A=700 in²
this can be written in quadratic form as:
solving the quadratic we get:
x=20 or x=-35/2
since the length cannot be negative then:
x=20 in
thus the width will be:
=40-5=35 inches

Solution 1
− 6.25 n + 52 hope this helps
PLEASEEE PLEASSE HELP!! BRANLIEST!!!PLEASEEE Triangle XYZ is formed by the three squares J, K, and L: Which statement best explains the relationship between the sides of triangle XYZ? XY + YZ = ZX, because 144 + 256 = 400 (XY)2 + (YZ)2 = (ZX)2, because 144 + 256 = 400 (XY)2 + (YZ)2 = (ZX)2, because 202 + 122 = 162 XY + YZ = ZX, because 202 + 122 = 162
Solution 1

Triangle XYZ is formed by the three squares J, K, and L

So it is a right triangle.

Pythagorean Theorem: a^2 + b^2 = c^2


(XY)^2 + (YZ)^2 = (ZX)^2, because 144 + 256 = 400

Solution 2
I would say is the correct answer because of the Pythagorean theorem.
a^2 + b^2 = c^2
XY^2 + YZ^2 = ZX^2
12^2 + 16^2 = 20^2
144 + 256 = 400

My best guess is B.

Hope this helps =)
A barrel of tomato sauce has spilled on a tile floor. The sauce flow can be expressed with the function r(t) = 2t, where t represents time in minutes and r represents how far the sauce is spreading. The spilled sauce is creating a circular pattern on the tile. The area of the pattern can be expressed as A(r) = πr2. Part A: Find the area of the circle of spilled sauce as a function of time, or A[r(t)]. Show your work. (6 points) Part B: How large is the area of spilled sauce after 5 minutes? You may use 3.14 to approximate π in this problem. (4 points)
Solution 1

Part A:
Given in the statement
r(t)= 2t
A(r) = πr2
So to find A[r(t)]
You have to plug r(t) into A(r)
Answer: A[r(t)] =π(2t)2=4πt

Part B:
The statement tells you t=5 min and

So plug in you values
A[r(t)]=π(2(5))2=4* 3.14*5=62.8

What is the value of x? x = 2 x = 3 x = 4 x = 6
Solution 1


The answer is 3

Step-by-step explanation:

Solution 2


x = 3

Step-by-step explanation:

Edge 2021

Prove that x²+6x+18 is always greater than For any value of x.
Solution 1
One way to solve this would be to graph both y=x^2+6x+18 and y=2 - 1/x.  If the graph of the polynomial is always higher up (above) the graph of y=2-1/x, that alone is sufficient cause to state that the poly is always greater than 2-1/x.

You could also do this algebraically:  write the inequality

x^2+6x+18 > 2 -1/x.  This can be rewritten as x^2+6x+18-2+1/x > 0, or
                                                                         x^2+6x+16+1/x > 0

Try x=-3.  Then 9-18+16-1/3 = 6 2/3, which is greater than 0.

Or you could graph x^2+6x+16+1/x by hand or on a calculator.  Is the graph always above the x-axis?  If so,  x²+6x+18 is always greater than 2-1/x.

The area of a trapezoid is 70.55 square feet. The length of the bases are 11.4 feet and 5.6 feet. What is the height of the trapezoid? 4.15 ft 4.15 ft2 8.3 ft 8.3 ft2
Solution 1

The height of the trapezoid with an area of 70.55 sq feet is, 8.3 feet.

What is a trapezoid?

A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.

The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.

The altitude is the measurement of the angle perpendicular to the parallel sides.

We know, The area of a trapezoid is,

(1/2)×(sum of the two parallel sides)×height.

Therefore, From the given information,

(1/2)×(11.4 + 5.6)×h = 70.55.

(1/2)×(17)×h = 70.55.

17h = 141.1.

h = 8.3 feet.

learn more about trapezoids here :


Solution 2
I got 8.3 ft.
By using the formula for finding the area of a trapezoid

H=8.3 ft
What is the place value of the digit 4 in 6,296.04
Solution 1

The digit 4 is in the hundredths place, since it's behind a decimal.

Place value in front of a decimal goes as:

Ones, tens, hundreds, thousands, etc

Place value behind a decimal goes as:

Tenths, Hundredths, Thousandths, etc