simplify √ 18 + √ 20 - √ 45

Answers

Answer 1

Answer:

3√2 - 4√5 -

ig this is the answer

Answer 2

Answer:

3[tex]\sqrt{2}[/tex] - [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{18}[/tex]

= [tex]\sqrt{9(2)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex]

= 3[tex]\sqrt{2}[/tex]

---------------------------

[tex]\sqrt{20}[/tex]

= [tex]\sqrt{4(5)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex]

= 2[tex]\sqrt{5}[/tex]

------------------------

[tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex]

= 3[tex]\sqrt{5}[/tex]

Then

[tex]\sqrt{18}[/tex] + [tex]\sqrt{20}[/tex] - [tex]\sqrt{45}[/tex]

= 3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] - 3[tex]\sqrt{5}[/tex] ← collect like terms

= 3[tex]\sqrt{2}[/tex] - [tex]\sqrt{5}[/tex]


Related Questions

2x-3=13 Solve x and explain

Answers

Answer: x=8

Step-by-step explanation:

We are going to solve for x.

2x-3=13

Add 3 on both sides.

2x=16

Divide both sides by 2.

x=8.

So, x=8 is your final answer.

If you want me to explain why you subtract or the both side rule, just ask!

Hope this helps. :)

x=1
y=−3x+10
What is the answer?

Answers

Answer:

7

Step-by-step explanation:

as x is 1

3x added 10 -3*1 add 10 -3 add 10 = 7 as it is is sign - and add the ans will be 7

(Pythagorean theorem) do the following lengths form a right triangle? (Show steps)

Answers

Answer:

yes

Step-by-step explanation:

Pythagorean theorem equation is a²+b²=c²

c is the longest side which is 5. a and b dont matter in this case

3²+4²=5²

9+ 16 = 25..........simply

25 = 25...............true, these numbers form a right triangle

He gave the cashier $14.22 and received $2.63 in change. How much did the duffel bag cost?

Answers

Answer:

$11.59

Step-by-step explanation:

14.22-2.3=11.59

also this was like a question that gose "joe has 5 cookes, josie eats 3, how old is josie?"

PLEASE HELP ITS URGANT WILL MAKE BRAINLIEST PLEASE HELP MEEE

Answers

Answer:

A is the answer

Step-by-step explanation:

look at the attached image

Is this answer right?

Answers

Answer:

correct.

Step-by-step explanation:

Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost  $35  and same-day tickets cost  $20 . For one performance, there were  65  tickets sold in all, and the total amount paid for them was  $1900 . How many tickets of each type were sold?​​

Answers

Answer:

600 Advance tickets 1,300 same-day tickets

Step-by-step explanation:

65x20=1,300

1900-1,300=600

21 by 36 subtract 2 by 5 multiple 5 by 8​

Answers

Answer:

676

That's my opinion

Step-by-step explanation:

Imsureeeeeeee123

Answer:

0.3333333333

Step-by-step explanation:

21/36 Convert To 0.58333333333

2/5 Convert To 0.4

5/8 Convert To 0.625

the points (3,5) and (-2,10) lie on a line. what is the slope

Answers

Answer:

-1

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

 = ( 10-5)/(-2-3)

  =5/-5

  = -1

The answer is -1. Hope that helped.

A line is an undefined term because it

Answers

A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.

Undefined Terms.

In geometry, point, line, and plane are considered undefined terms because they are only explained using examples and descriptions. Name the points, Lines, & Planes. Collinear points are points. that lie on the same line.

Answer:

A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.

help on #8 please??
question is in picture

Answers

Answer:

x = 6

Step-by-step explanation:

To get rid of the fraction at the left side of the equation, multiply both sides by 4

20x + 60 = 180 now subtract 60 from both sides

20x = 120 divide both sides by 20

x = 6

For which values is the graph decreasing? Check all that apply.
between x = –3 and x = –1.5
between x = –1.5 and x = 0
between x = 0 and x = 1.5
between x = 1.5 and x = 3

Answers

Answer:

c

i think

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

(7+7b)+(-2+8c)+(1+5d)

Answers

Answer: 7b + 8c + 5d + 6

Step-by-step explanation:

1) (7+7b)+(-2+8c)+(1+5d)

combine like terms (starts with the ones with variables)

2) 7b + 8c + 5d

now all you need to do is add the numbers without variables

3) 7b + 8c + 5d + (7 + -2 + 1)

4) 7b + 8c + 5d + 6

Find the angle measure.

The measure of the angle is ?

Answers

Answer:

133°

Step-by-step explanation:

The angle X is the same as the given.

TRANSVERSAL LINE

[tex]\mathbb{ANSWER:}[/tex]

⇒ The two parallel lines are cut by a transversal so the interior angles on the same side of a transversal are congruent. This means that the measurement of the second angle is also 133 degrees.

Hence, the measurement of the angle is also 133 degrees.

a
8) A bridge builder plans to construct a cable suspension bridge in your town. The cable being used will form
a curve modeled by the equation h(x) = 3x2 - 6x + 200, where x represents the length of cable used (in feet)
and h(x) represents the height of the cable (in feet). At what height will the cable hang closest to the bridge
deck?

Answers

Answer:

197

Step-by-step explanation:

https://www.cusd80.com/cms/lib/AZ01001175/Centricity/Domain/8294/HA2%20Chapter%202%20Review%20Key.pdf

PLEASE HELP ME!!! philip would be able to buy 15 apples if he had $2.10 more money than he has now. if he buys 12 apples, how would have $3.30 left of the money he has now. how much does one apple cost?

Answers

One apple cost $1.8 while the money that Philip has is $24.90

Let x represent the cost of each apple and y represent the money he has presently.

He can buy 15 apples if he had $2.10 more money than he has now, hence:

15x = y + 2.1

15x - y = 2.1     (1)

Also, if he buys 12 apples, how would have $3.30 left of the money he has now. Hence:

12x + 3.3 = y

12x - y = -3.3   (2)

Solving equations 1 and 2 gives:

x = 1.8, y = 24.9

Hence one apple cost $1.8 while the money that Philip has is $24.90

Find out more at: https://brainly.com/question/16763389

If there is 1/4 ounces of yeast in every 2 and 1/4 teaspoons and you need 2 teaspoons how many ounces of yeast is needed

Answers

Answer:

It's probably 1/4

Step-by-step explanation:

what is this anyone know?

Answers

The smallest number they could have is 24

t+27-19=100
what is the answer to this problem

Answers

Answer:

92

Step-by-step explanation:

t+27-19=100

t+8=100

t=100-8

t=92

Hope this helped u...

10x is greater than or equal to 120 cm^2

Answers

Answer:

x greater than or equal to 12cm^2

Step-by-step explanation:

How to prove p is a midpoint of AB and Q midpoint of BC

Answers

Answer:

Step-by-step explanation:

see the figure below

As O is mid point of rectangle

distance between O to AB and DC is same

also distance between O to AD and BC is same

OP and OQ are perpendiculars so it is straight

and OP divides AB into equal segments as distance between O to AD and BC is same

same goes with OQ

Can someone explain this to me? No Links no bots.

Answers

Answer:

Domain and Range. The domain of a function is the set of values that we are allowed to plug into our function. This set is the  values in a function such as ). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an  value in.

Step-by-step explanation:

Model with Math The 46 golf balls in Stavin's
golf bag have 15,180 dimples on them. Each
golf ball has the same number of dimples,
Use the bar diagram to write and solve an
equation to find the number of dimples on
each ball in Stavin's bag,

Answers

Answer:

Step-by-step explanation:

divide 15,180 and 46=330 dimples on each ball

7/8 of the animals in a garden are goats the rest 230 cow how many animals are there altogether​

Answers

Answer:

1610

Step-by-step explanation:

230 is 1/8 percent, multiply it by 7, get 1610

1/2 hours: $1.25 What is the unit rate per hour?

Answers

Answer:

$2.5/hr

Step-by-step explanation:

1/2 hr = 1.25

(1/2 hr)x2 = $1.25 x 2

1 hr = $2.5

What are the types of polygons?

Answers

Answer:

Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon and Decagon

Answer:

1.Regular Polygons.

2.Irregular Polygons.

3.Concave Polygons.

4.Convex Polygons.

5.Trigons.

6.Quadrilateral Polygons.

7.Pentagon Polygons.

8.Hexagon Polygons.

Step-by-step explanation:

a sum of money at simple interest doubles itself in 10 years .Find the rate percent per annum​

Answers

Answer:

Rate = 100/10 = 10%. ∴ The rate of interest is 10%. ∴ The rate of interest is 10%.

Answer these questions

Answers

Answer:

y = 5

Step-by-step explanation:

first you subtract 5y from itself and from 7y

then you'll get: 2y + 2 < 12

then subtract the 2 from itself and from the 12

that will give you: 2y < 10

then just divide the 2 from itself and that eliminates the 2 but keeps the y, and divide the 10 by the 2

that'll give you y = 5

How to find factors of a number.

Answers

To find factors of a number you have to see what numbers you can multiply to get to that number. For example i’ll use the number 9. 3x3 equals 9 and 9x1 equals 9.

If angle 1 is 110° what would the other angle measures have to be in order for m || n and q || p

Answers

Answer:

Angle 1 = 110

Angle 2 = 110

Angle 3 = 70

Angle 4 = 70

Step-by-step explanation:

Angles 1 and 2 are corresponding angles, and therefore congruent

Angles 2 and 3 are same-side interior angles, and therefore supplementary

Angles 3 and 4 are alternate interior angles, and therefore congruent.

Answer:

Angle 2: 110

Angle 3: 70

Angle 4: 70

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