Why is it important to simplify radical expressions before adding or subtracting them?

Answers

Answer 1

Answer:

Radical expressions must be simplified before adding or subtracting so that you are combining “like terms”. In the same way that 2x2 and 3x cannot be combined because they are not like terms, terms involving radicals cannot be combined unless the value under the radical is the same for both terms.


Related Questions

work out the gradient of a line which has a gradient of 2 and passes through the point (1,4).

Answers

y=mx+c
m is gradient so y=2x+c
y=4 when x=1 so 4 = 2 x 1 + c
so c =2
so y=2x+2

18% as a fraction in its simplest form

Answers

Answer:

9/50

Step-by-step explanation:

18% = 18/100

GCF of 18 and 100 = 2

(18 ÷ 2)/(100 ÷ 2)

9/(100 ÷ 2)

9/50

A meteorologist reports that the temperature today will be colder than −1° Fahrenheit. The inequality is t < −1. The variable t represents the temperature.

A number line going from negative 2 to positive 2.

Which numbers are solutions of the inequality? Choose all that apply.
–2
0
1
–10
–3
–1

Answers

Answer:

its 145

Step-by-step explanation:

Answer:

D: –10

Step-by-step explanation:

edge2020

What’s the answer of value v?

Answers

Answer:

v = 9

Step-by-step explanation:

6v - 4 = 50

6v = 54

v = 9

The area of a rhombus is 36 sq. cm. If its perimeter is 16cm, find its altitude.​

Answers

HELP MEEE I NEED HELP TOO

Answer:

Perimeter of rhombus =4×l

16=4l

l=16/4=4

its length =4cm

area of rhombus=36cm²

base× height (here base=length)=36cm²

4h=36

h=36/4=9

:.altitude of rhombus is 9cm.

a = 5bc
b = -4 and c = -3
Work out the value of a.

Answers

Step-by-step explanation:

a=5*-4*-3

a=-2

hope this helps

Heather has divided $5600 between two investments, one paying 9% the other paying 5%. If the return investment is $396, how much does she have in each investment?

Answers

Answer:

x = 2700 y=2900

Step-by-step explanation:

x+y = 5600

5/100 x + 9/100 y = 396

x+y=5600

5x+9y=39600

5x+5y = 28000

5x+9y=39600

-4y = -11600

y= 2900

x = 5600-2900 = 2700

0.9x. +0.6(5600-x)=396
9x + 6 (5600-x) =39600
9x + 33,600 - 6 = 39600
3x = 6000
X = $2000




So 2000 invested at 9% and 3000 invested at 5%


09(2000) + .05(3000) = 3300

Help me please with this question

Answers

Answer:

107cm

Step-by-step explanation:

The the answer is 107 because you have to add up all of the numbers.

What is the y-intercept of function g if g(x) = 2f(x) + 1 ?

A. (0,2)
B. (0,-1)
C. (0,3)
D. (0,1)

Answers

By evaluating the function in x = 0, we will see that the y-intercept is (0, 3), so the correct option is C.

How to find the y-intercept of a function?

The y-intercept of a function g(x) is given by evaluating the function in x = 0.

So the y-intercept of g(x) is:

y = g(0).

In this case, we have:

g(x) = 2f(x) + 1

The y-intercept will be:

g(0) = 2*f(0) + 1

By looking at the graph, we can see that f(0) = 1, replacing that above we get:

g(0) = 2*1 + 1 = 3

Then the y-intercept is the point (0, 3), meaning that the correct option is C.

If you want to learn more about y-intercepts, you can read:

https://brainly.com/question/20896994

What is the value of x in the circle on the right?​

Answers

X=sqrt of 29

Use Pythagorean Theorem!

a^2+b^2=c^2

C is the hypotenuse, so the biggest side, for us it’s 10.

9^2+x^2=10^2

81+x^2= 100

x^2= 29

X= sqrt29

Since x is the radius on both sides, the value will be the same :)

35% of x is 3.5 What is the value of x

Answers

Answer: x =10

Step-by-step explanation:

I'm sorry if its not right

Use a calculator to evaluate the trigonometric functions of the given anglers. Round your answers to four decimal places. Please help

Answers

Answer: figure it out.

Step-by-step explanation: it's not hard, just put it in a calculator, knowledge...

write this expression without grouping symbols.
-3x(2x+5)

Answers

Answer:

− 3 ( 2 + 5 )

Step-by-step explanation

Simplifica  

Distribuye

− 3 ( 2 + 5 ) − 6 2 − 1 5

Solución

− 6 2 − 1 5

Find the value of the expression below for x=3
x^2+5

Answers

Answer: 14

Step-by-step explanation: 3 to the second is 3 twice EX. 3x3=9, 9+5=14

Answer: x= −5 /2 + 1 /2 √37 or x= −5 /2 + −1 /2 √37

Step-by-step explanation:

Step 1: Subtract 3 from both sides.

x2+5x−3=3−3

x2+5x−3=0

For this equation: a=1, b=5, c=-3

1x2+5x+−3=0

Step 2: Use quadratic formula with a=1, b=5, c=-3.

x= −b±√b2−4ac /2a

x=

−(5)±√(5)2−4(1)(−3) /2(1)

x= −5±√37 /2

x= −5 /2 + 1 /2 √37 or x= −5 /2 + −1 /2 √37

Can someone help me ASAP

Answers

You have to circle 4 equations to answer like group -2 3 and -1 and 6

A farmer is painting his silo. A typical can of paint covers 400 squared meters. How many cans of paint will the farmer need to buy in order to paint the entire exterior of the silo?

Answers

Answer:

about 13 cans of paint

Step-by-step explanation:

To find how many cans the farmer needs to buy, you need to know the surface area of both the cone and cylinder.  

The way to find the SA of the cone would be area = 3.14 x r^2 + 3.14 x r x sqrt(r^2 + h^2).  

SA= 1976.0617791 m^2.

The way to find SA of the cylinder under the cone would be 3.14 x d x (d / 2 + h).

A = 3097.6103564 m^2

Then you have to add 1976.0617791+3097.6103564 which gives you 5,073.8. (5,073 being total surface area of the silo)

Next divide that by 400.

5,073.8/400 = 12.7

He would need to buy about 13 cans of paint to be able to paint the entire silo.

what is the slope between (5,0) and (6,0)

Answers

Answer:

m=0

Step-by-step explanation:

The diameter of a circle is 8 units. What is the circle's circumference? Do not round your answer.

Answers

Answer:

25.12 or 25.13

Step-by-step explanation:

It says not to round so i’m not sure which one is the correct answer

(sorry (-.-“))

Answer:

25.12

Step-by-step explanation:

8 * 3.14 = 25.12

I need help who ever get it right get brainly

Answers

Answer:

m<a = m<c since those two angles are vertical angles.

m<a + m<b = 90⁰ since, if you look closely m<a and m<b forms a 90⁰ angle that means it is equal to 90⁰.

Hope this helps and I would appreciate if you give me the brainlist or not thank you :) !!

The equation y = 10x + 15 represents a gym that charges. What is the slope and y-intercept?
O slope: 15, y-intercept: 10
O slope: 10, y-intercept: 15
Oslope: 5, y-intercept: 25
O slope: 25, y-intercept: 5

Answers

Slope is 10 and y-intercept is 15

Please help! would really appreciate it.

Answers

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

Base² + altitude² = hypotenuse²

15² +  altitude²  = 17²

225 +  altitude²  = 289

             altitude² = 289 - 225

             altitude² = 64

              altitude² = 8²

             altitude   = √8²

 altitude  = 8

P = 8 + 15 + 17 =  40 units

[tex]A= \frac{1}{2}*base * height\\\\ = \frac{1}{2}* 15 * 8\\\\= 15 * 4\\\\= 60 sq. units[/tex]

PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST

Answers

A because a colored circle means it’s greater than

Select all the system of equations that have exactly one solution

A- y=2x+1
y=x+2

B- -x+10
-x+12

C- y=3x+1
y=3x+7

D- y=4x
y=x-6​

Answers

Answer:D

Step-by-step explanation:

A roller coaster is at the top of a 72 m hill and weighs 134 kg. The coaster (at this moment) has____________ energy. Calculate it.
A. Kinetic Energy and 347,328J
B. Kinetic Energy and 9,648J
C. Potential Energy and 9,648J
D. Potential Energy and 94,550.4J

Answers

Answer:C

Step-by-step explenation: m=134kg,h=72m,g=10m/s

PE=mgh

PE=(134kg)(10m/s^2)(72m)

PE=964800J

What are the coordinates of the point on the directed line segment from (-10, -5) to (5, 1) that partitions the segment into a ratio of 1 to 2?

Answers

if you make a graph and add the coordinates on the graph you can use that find out how it creates a ratio of 1:2

The price of a gallon of unleaded gas has dropped to $2.80 today. Yesterday's price was $2.86 . Find the percentage decrease. Round your answer to the nearest tenth of a percent.

Answers

not sure if it is correct but this is what I think:

(new - old) : old
(2.80-2.86):2.86= 0.0209 + 1 = 0.979 %
rounded answer is than probably 1.00%

checking:
2.86 x 0,979 = 2.79994

Which line is tangent?

Answers

TR

Best luck with your studying
TSR is a tanget line

Determine the amounts horizontally and vertically that the given point was translated.


1. A translated to B
2. A translated to C
3. D translated to B
4. C translated to D
5. B translated to C

Answers

Answer:

OPTION B I THINK SOOOO

PLS MAKA ME BRAINIST PLS

Step-by-step explanation:

HOPE YOU HELP

Answer:

1. x = 1

   y = -7

2. x = 9

   y = -5

3. x = -6

  y = -5

4. x = -2

  y = 3

5. x = 8

   y = 2

Step-by-step explanation:

Count until you get from the first point to the next.

LAST QUESTION PLS HELP. (It's not solve for x)

Answers

Answer:

40

Step-by-step explanation:

So, if the angle shown, one of them is 70. the other is 110, because line is 180 degress, 180-70 = 110. C is 110. But, we need to find B. 13x + 6 must also be 70 degrees. 70-6 = 64. 64/13 = about 5. A is 100. The inner angles are 70+70+N. Angles in triangle are 180, so N is 180-70-70, which is 180-140. The B is 40 degrees.

Answer:

m∠ABC = 26°

Step-by-step explanation:

13x+6 + 8+3x + 70 = 180

16x + 84 = 180

16x = 96

x = 6

m∠B = 8+3(6) = 26°

Which expression fits this description? • The expression is the quotient of two quantities. • The numerator of the expression is the product of 5 and the sum of x and y. • The denominator is the product of negative 8 and x.

Answers

Answer:

[tex]\frac{5(x+y)}{-8x}[/tex]

Step-by-step explanation:

It is a fraction that usually has a numerator and denominator

the numerator is the number on top while the denominator is the number below

[tex]\frac{a}{b}[/tex]

In the above fraction, a is the numerator while b is the denominator

Numerator =5 × ( x + y)

Denominator = -8x ( negative means there is a negative sign before 8)

( product means multiplication)

[tex]\frac{5(x+y)}{-8x}[/tex]

Other Questions
(03.01 LC)Why would the same credit card have two different interest rates, of 10.50% and17.50%, for two different adults?Due to their ageDue to their APRDue to their rate of returnDue to their creditworthiness Katies BMI decreased from 17 to 16. What does this tell her doctor about her health? In the figure find the value of x figure is not drawn on scale II. Write TRUE if the statement is correct and FALSE if not.11. The flower of mongo beans is self- pollinating.12. Most ferns reproduce sexually using spores.13. Pine tree has flowers.14. Rose, santan , daisy can be reproduced through leaves. 193 students are attending the next reward trip. There are eight drives available and two types of vehicles,school buses and minivans. The school buses seat 51 people each and the minivans seat 8 people each. Howmany buses and minivans will be needed? Which is NOT a part of the Chartist Petition? * Secret Ballot Universal Suffrage Annual Parliamentary Elections Salaries for Parliament Members Help i will be giving brainliest!!Answers a)228 degrees b)50 degreesc)100 degreesd)52 degrees A local hamburger shop sold a combined total of 486 hamburgers and cheeseburgers on Sunday. There were 64 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday? Determine the domain of the graph and what is the function on the other graph Choose the correct answer 4 out of 5 is _________ 85%. Single choice.Greater thanLess thanEqual to please help middle school comprehension whats the setting of the story??please answer! will give brainliest Experts advice that all children receive a measles vaccination once between twelve and fifteen months and again between four and six years of age 3.6 + t = 4.5please answer this what was the result of the investiture controversy in the roman empire PLEASE HELP IM GOING TO FAIL WILL GIVE BRAINLESS Solve: X-4=y- 5y + 8x = 29Show steps If h(x) = 5 for the function h(x) = 2x + 1, what is the value of x?121102 STUDENTS WORK ETHIC AFFECTED Which of the following best describes a central idea of the text [ASPS]WILL GIVE BRAINLIEST