Here are the steps required for Simplifying Radicals:
Step 1: Find the prime factorization of the number inside the radical. Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Also factor any variables inside the radical.
Step 2: Determine the index of the radical. The index tells you how many of a kind you need to put together to be able to move that number or variable from inside the radical to outside the radical. For example, if the index is 2 (a square root), then you need two of a kind to move from inside the radical to outside the radical. If the index is 3 (a cube root), then you need three of a kind to move from inside the radical to outside the radical.
Step 3: Move each group of numbers or variables from inside the radical to outside the radical. If there are nor enough numbers or variables to make a group of two, three, or whatever is needed, then leave those numbers or variables inside the radical. Notice that each group of numbers or variables gets written once when they move outside the radical because they are now one group.
Step 4: Simplify the expressions both inside and outside the radical by multiplying. Multiply all numbers and variables inside the radical together. Multiply all numbers and variables outside the radical together.
Shorter version:
Step 1: Find the prime factorization of the number inside the radical.
Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.
Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.
Step 4: Simplify the expressions both inside and outside the radical by multiplying.
Find the midpoint of the segment with the given endpoints A(4, -2) and Q (10,7)
Answer:
The midpoint is ( 7, 5/2)
Step-by-step explanation:
To find the midpoint
Add the x coordinates and divide by 2
( 4+10) /2 = 14/2 = 7
The x coordinate of the midpoint is 7
Add the y coordinates and divide by 2
( -2+7) /2 = 5/2 =
The y coordinate of the midpoint is 5/2
The midpoint is ( 7, 5/2)
What is equivalent to 80 ^ 1/4?
Each month, Mr. Becker drives 1,384 miles on a food-
delivery route. How many miles does he drive on his
route in 2 months?
A 2,768 miles
B
2.758 miles
с
4,152 miles
D 2,868 miles
Can someone pleaseeee help me!!!
Answer:
a
Step-by-step explanation:
you would have to divide 2 by 10 and 6 by 12. Hope this helped!
Answer:
(6,9)
Step-by-step explanation:
(10+2)/2=12/2=6
(12+6)/2=18/2=9
Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson has left after x days?
A. y = –2x + 30
B. y = 2x + 30
C. y = –2x – 30
D. y = 2x – 30
What is the solution to this equation: -5x + 4 = 29 *
[tex]\text{Hi there! :)}[/tex]
Answer:
[tex]\huge\boxed{x = -5}[/tex]
[tex]-5x + 4 = 29[/tex]
[tex]\text{Subtract 4 from both sides:}[/tex]
[tex]-5x + 4 - 4 = 29 - 4\\\\-5x = 25[/tex]
[tex]\text{Divide both sides by -5:}[/tex]
[tex]-5x / (-5) = 25 / (-5)\\\\x = -5[/tex]
Steps to solve:
-5x + 4 = 29
~Subtract 4 to both sides
-5x = 25
~Divide -5 to both sides
x = -5
Best of Luck!
Solve for x. Show work to support your answer.
1) 3x - 4x - 7 = 0
2) 5x + 7 -3x - 2 = 9
3) 6(x - 2) + 8 = 14
4) -3(4x + 2) + 5(x + 6) = -4
Answer:
I feel you should do this on your own. Trust me, this is EASY algebra. I'm currently in algebra 2.
Step-by-step explanation:
To solve these equations, you first need to move all variable numbers (Those with x) to one side of the equation, and the ordinary numbers to the other side. WHEN YOU DO THIS, REMEMBER TO FLIP THE SIGN OF THE MOVED NUMBER. if it was a positive number, it is now a negative, and vise-versa. Then add or subtract on both sides of the equation. In the end, you should come out with ONE answer on each side. Then, multiply or divide. You need to SUBSTITUTE X FOR ANOTHER NUMBER. Keep doing this until you have found the correct answer.
I will do #1 for you
3x - 4x - 7 = 0
1. move variables and numbers on opposite sides. (Make sure to flip the signs)
3x - 4x = 0 + 7
2. add and subtract
-x = 7
ANSWER FOR #1: x = 7
For that last bit just move the sign over from the x to the 7. But only in that circumstance.
You can check if this is correct by plugging the answer back into the equation as so:
3( -7) - 4(-7) = 0 + 7
-21 - -28 = 7
7 = 7
Hope I helped :)
J is between H and K If HJ=5p JK=p and KH=3 Find HJ
Answer:
HJ = 2.5
Step-by-step explanation:
It is given that, J is between H and K. So,
HK = JH + JK
We have, HJ=5p JK=p and KH=3
So,
3 = 5p + p
3 = 6p
p = 1/2
The value of p is 1/2
Put the value of p in HJ=5p
i.e.
[tex]HJ = 5\times \dfrac{1}{2}\\\\HJ=2.5[/tex]
if you can answer any of these please do and put the question number by the answer
i dont know how to do this.
Answer:
C
Step-by-step explanation:
A function passes the vertical line test. This graph passes it so it is a function.
A one to one function has a single output for each input. This has multiple outputs for some inputs. Therefore, it is not one to one.
9x-5- 14= 17
Please
Step-by-step explanation:
[tex]9x - 5 - 14 = 17[/tex]
Add similar terms : -5-14 : -19
[tex]9x - 19 = 17[/tex]
Collect like terms and simplify
[tex]9x = 17 + 19 \\ 9x = 36[/tex]
Divide both sides of the equation by 9
[tex] \frac{9x}{9} = \frac{36}{9} [/tex]
Simplify
[tex]x = 4[/tex]
I hope this helps you!
Help please , I’m stuck at this question I need help please
Answer:
1 1/15
Step-by-step explanation:
you flip the second fraction then multiply straight across
4/5 divided by 3/4
4/5 divided by 4/3
4 x 4 = 16
5 x 3 = 15
16/15
then simplify
1 1/15
hope this helps
The price of a barrel of oil changes every weekday. The changes in price for a week are shown below. Day Price Change (Dollars) +0.58 Monday Tuesday -1.02 Wednesday -0.93 Thursday +2.39 Friday -0.30 Calculate the total price change, in dollars, for the week. Explain how you determined your answer.
Answer:
+0.72
Step-by-step explanation:
0 + 0.58 - 1.02 - 0.93 + 2.39 - 0.30 = 0.72
Starting at 0 because we are measuring the change, not the price
26. The first half of a play is 35 minutes longer than the second half of the play. If
the entire play is 155 minutes long, how long is the first half of the play? Write
an equation to solve the problem.
Answer:
the first half of the play is 95 minutes long
Step-by-step explanation:
155-35= 120 (you subtract 35 so you get the number if both plays lasted the same time )
120/2= 60 (you get the amount of time one play lasted without extra 35 minutes)
60+35=95 (then add 35 minutes to one play because 1 one is longer than the other one)
the first half of the play is 95 minutes long.
Find the midpoint of the segment with the given endpoints.
(-7, -7) and (6, -8)
Hey there! I'm happy to help!
To find the x value of the midpoint, you add the x values and divide by 2.
-7+6=-1
-1/2=-1/2
For the y value, you add the y values and divide by 2.
-7-8=-15
-15/2=-7 1/2
Therefore, our midpoint is (-1/2, -7 1/2).
Have a wonderful day! :D
What is x equal to in the equation 5x^2-2x+5=0?
There are no real solutions to the problem.
The discriminant is -96 when the discriminant is a negative number it has no real solutions, only imaginary ones.
Answer:
hope that will help you
this right? ppl giving me mixed answers
PlEASE HELPPPP
Answer:
Uh yeah Its right...i think
Just make sure if its right
I need help with the number 4 help needed ASAP will give BRAINLIEST
A rectangular prism is 3 units high, 2 units wide, and 5 units long. What is its surface area
insquare units? Explain or show your reasoning.
Answer:
62 square units
Step-by-step explanation:
Surface area of a rectangular prism = 2 ( wl + hl + hw)
Where,
w = width = 2 units
h = height = 3 units
l = length = 5 units
Surface area of a rectangular prism = 2 ( wl + hl + hw)
= 2 (2*5 + 3*5 + 3*2)
= 2 (10 + 15 + 6)
= 2 (31)
= 62 square units
Surface area of the rectangular prism = 62 square units
Add these fractions, giving your answer
in its simplest form.
8/15 +3/15 =?
Answer:
11/15
Step-by-step explanation:
To add fractions, you add the numerators together( the top) and the bottom stays the same for this situation.
so the numerators of the fraction are 8 and 3
8+3 =11
So the answer is 11/15 and this is the most simplified it can get.
What is LN?
????????????
Answer:
A. 14
Step-by-step explanation:
- 2 to 0 to 12 = 14
explain how to solve 5+7z=19
Answer: Z = 2
Step-by-step explanation:
19 - 5 = 14
7 x ? = 14
7 x 2 = 14
Describe the main parts of a proof.
Answer:
ok i want to help but wdym by a proof
The correct answers are:
Given; prove; statements; and reasons.
Explanation:
The given is important information we are given at the beginning of the proof that we will use in constructing the proof.
The "prove" is the statement we are trying to prove.
The statements are the steps we use to get from our given to what we're trying to prove.
The reasons are the theorems, conjectures, properties, and corollaries we use to justify the steps we take in the statements part.
if i work 17 hours a week and earn 8 dollars an hour how many weeks would it take me to get to 3,457$?
Answer: without taxes entered into the equation, it would be 25.4
Step-by-step explanation:
Transformations Review
-7,5).
6. Point R is located at (8, 13).
Where is R' after a translation
8 units left and 6 units down?
Type Here
Answer:
0
Step-by-step explanation:
Which fraction is the simplest form of 16/34 A.9/17 B.4/9 C.7/16 D.8/17
Evalute j/4 when j = 12
Answer: I think the answer is 3
Step-by-step explanation: I Divided 12 by 4 and got the answer 3
Answer:
Answer is 3
Step-by-step explanation:
According to the question,
j = 12
So
j / 4 = 12 / 4 = 3
Pls mark my answer as Brainliest
My little sister needs help.
Answer:
Each section of the bar is equal to 3 because the first digit on the top of the bar times 3 is equal to the bottom number.
May I have brainliest please? :)
find the solutions to the equation below. 20x^2 - 26x + 8 = 0
Check all that apply.
A. x = 4/5
B. x = 1/5
C. x = 2/3
D. x = 3/5
E. x = 1/2
F. x = 1/4
Is 4.56556555 . . . a rational or irrational number?
Answer:
No ,its irrational
Step-by-step explanation:
bcoz of it is not fixed number
it is infinite number
Answer:
Not rational and not irrational number
