simplify the surd 3√ 20 +√ 45 ​

Answers

Answer 1

Answer:

9[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]

Simplify the radicals

[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

3[tex]\sqrt{20}[/tex] + [tex]\sqrt{45}[/tex]

= 3(2[tex]\sqrt{5}[/tex] ) + 3[tex]\sqrt{5}[/tex]

= 6[tex]\sqrt{5}[/tex] + 3[tex]\sqrt{5}[/tex]

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

Answer 2
9/- 7dndusjjsjddkkdkdksksjdid

Related Questions

Find the slope between the two points (-3,3) (1,-5)

Answers

Answer: M= -2

Step-by-step explanation: Have a brilliant day mate- Lily ^-^

The difference between a number and its square is 20. Find the
numbers.​

Answers

Answer:

-4 or 5

Step-by-step explanation:

let number be x

x²-x=20

Rearrange

x²-x-20=0

(x+4)(x-5)=0

Separate

x+4=0, x-5=0

x=-4 or 5

1. There are 16 boys and 18 girls in a Grade 6 math class. Write the ratio of girls to boys in words as simply as possible.
2. The ratio of blue marbles to yellow marbles is 5:1. For every yellow marble, there are ___ blue marbles.

Answers

Answer:

1.)8 boys yo 9 girls

2.)5

Step-by-step explanation:

1)divide by 2

2.) every yellow marble is 1 and there is 5 marbles for each yelllow marble

The ratio of boys to girls in the Grade 6 math class is =

8 : 9.

For every yellow marble, there are five blue marbles.

To find the ratio of a given two quantities how many times one quantity is greater or smaller than the other.

To find the ratio of boys to girls in Grade 6 math class simplify by dividing through with two.

Therefore, 16/18 = 8/ 9, that is 8 boys is to 9 girls.

The 5:1 ratio of blue to yellow marbles means for every yellow marble, there are five blue marbles.

Learn more about ratio here:

https://brainly.com/question/2328454

CAN SOMEONE HELP PLS

Answers

1)0.57 cent
2)$1.57
3) $2.00
4)$16.57
5)7 cent
6)$6.57
7) $2.07
8)10 cent
9)$17.07

The vertices of the quadrilateral JKLM are J(-2,0), K(-1,2), L(1,3), and M(0,1). Can you use the slopes
and/or the distance formula to prove each statement?
Select Yes or No for A-C.
A. Quadrilateral JKLM is a parallelogram.
А
Yes
B
No
B. Quadrilateral JKLM is a rhombus.
А
Yes
B
No
A. Quadrilateral JKLM is a rectangle.
A
Yes
B
No

Answers

Answer:

A. Yes

B. Yes

C. No

Here's what it would look like:

PLS HELP!! GIVING BRAINLST!!

Answers

Answer:  Exactly one solution

Step-by-step explanation:

The reason for is because if we were to graph these two lines, we discover that they only intersect at one point, at (6,7). Therefore, if we were to plug those points in respectively, we see that it is true.

how many groups of 1/4 are in 7?​

Answers

Answer:

All you have to do is add 2/4 7 times. So 1/4 times 7 which would equal 7/4=1 3/4

Step-by-step explanation:

Division is one of the four fundamental arithmetic operations. The groups of 1/4 in 7 are 28.

What is Division?

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The number of one-fourths in 7, can be found by dividing 7 by 1/4. Therefore, the groups of 1/4 in 7 are,

Number of one-fourth = 7/(1/4)

                                     = (7×4)/1

                                     = 28

Hence, the groups of 1/4 in 7 are 28.

Learn more about Division here:

https://brainly.com/question/369266

#SPJ2

Find the exact area of the shaded region

Answers

Don’t understand this kind of math

need help what is the equation of the purple line​

Answers

Answer:

y=-2/5x +8

Step-by-step explanation:

use y=mx+b      look at where the line intercepts with the y-axis and that is at 8 so that is your b. Then find two points and count how many down or up it is to get from the higher up point (i usually use the one that intercepts at the y-axis) to same line as the other point, in this case thats down two. Then count how many to the right it is and in this case it is 5. so since it went down thats -2 over 5 so then you just fill that into the y=mx+b   and you should get   y=-2/5x+8

Hope this helped!

ps. if this was right can you make it brainliest? thanks!

How do you write 20% as a fraction?

Answers

Answer:

20% = 20/100 or 2/10 or 1/5

Step-by-step explanation:

Answer:

20% as a fraction can be 20/100 1/5 2/10

Step-by-step explanation:

I NEED HELP WITH THIS FAST

Answers

Answer:

Option D my dude

Step-by-step explanation:

it make sense

The answer is option three

comenzando desdes el principio, una persona camina 6km al este durante el primer dia y km al este el dia siguente. ¿ cual es el desplazamiento neto de la persona desde el punto de partida en dos dias
A) 6km, oeste
B) 3km, este
C) 10km,este
D) 5km,oeste
E) 9k., este

ayuda porca cual de esta es​

Answers

Answer:

Yanga ka jhcgjvvhjjio ddd....

Can someone help me plzz?

Answers

Answer:

Step-by-step explanation:

f/2 + 6

Can you help me simplify this expression 16d + 20c + 5d -7 - 8c - 7d + 3?

Answers

Answer:

12c + 14d - 4

Step-by-step explanation:

16d + 20c + 5d -7 - 8c - 7d + 3

Simplify the expression

__________________________

To solve, we need to first take in mind the fact that there are different like terms within this expression. Like terms are numbers or values that end in different symbols, such as variables or exponents. Since we are filled with variables such as c and d. We can do as followed :

Combine the "d" like terms :

16d + 5d - 7d

21d - 7d

14d

Combine the "c" like terms :

20c - 8c

12c

Combine the constants :

-7 + 3

-4

Now add all of the values together to get the final expression.

12c + 14d - 4

Answer:

14d + 12c + 3

Step-by-step explanation:

1) Add the same variables; if you see d, or c variable add or subtract them like this:

16d + 5d - 7d = 14d

20c - 8c = 12c

3 is left alone b/c there’s no any other number to add/subtract for 3.

also I know whether to add or subtract b/c the addition or subtraction sign would be before the number: ex; - 2, - 3x, + 5d, + 5

2) your equation should look like this....

14d + 12c + 3

SOLVE THIS
I WILL GIVE BRAINLIEST

Answers

hope it becomes helpful to you ☺️☺️

good luck

4x-5
-------- = 3
5

(5) (3) = 4x-5

15 = 4x-5

15 + 5 = 4x

20 = 4x

x = 5

-8/5 X= 56
solve











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Answers

Answer:

x = -35

Step-by-step explanation:

-8/5x = 56

Start by multiplying both sides by 5 to get rid of the fraction. That will leave you with:

-8x = 280

You can then divide both sides by -8 and then you'll get x = -35

Answer:

x=-35

Step-by-step explanation:

-8/5x is gonna be -1.6x and you divide 56 by -1.6x and get x=-35

Use the substitution method to solve the following pairs of simultaneous
equations.
a. x = 8-3y, 2x + 5y = 13,
Answer: x= , y=

Answers

Answer:

Step-by-step explanation:

2x+5y = 13

2(8-3y)+5y =13

16-6y+5y = 13

y=3

x =8-3y = -1

In Coach Bryant’s math class, he had his students create a net of a cube. An example of the net is below.



Net of a cube. The measurements for each side 2.5 in.



What is the total surface area of the cube?



37.5 in2


6.25 in2


31.25 in2


60 in2

Answers

Answer:7.5 in2

Step-by-step explanation:A=6a2=6·2.52=37.5in²

A local diner uses 4 2/3 pounds of meat to make five hamburgers. How much meat is used to make one hamburger?

Answers

Answer:14/15 pounds of meat

Step-by-step explanation:

SO, 4 2/3=14/35 HAMBURGERS ARE MADE BY USING 14/3 POUNDS OF MEAT1 HAMBURGER IS MADE BY USING 14/3×1/5 OR,14/15 POUNDS OF MEAT.BASICALLY THE ANSWER IS:14/15 pounds of meat is used to make one hamburger.

Find two values of "b" so that x^2 + b x + 6 can be factored into binomial factors.​

Answers

Given:

The expression is

[tex]x^2+bx+6[/tex]

To find:

The values of b so that the given expression can be factored into binomials factors.

Solution:

An expression is [tex]ax^2+bx+c[/tex] factorable if b is the sum of possible factors of ac.

We have,

[tex]x^2+bx+6[/tex]

Here, [tex]a=1,b=b,c=6[/tex].

[tex]ac=(1)(6)[/tex]

[tex]ac=6[/tex]

Some, factor forms of 6 are (1×6) and (2×3).

[tex]1+6=7[/tex]

[tex]2+3=5[/tex]

For b=7,

[tex]x^2+7x+6=x^2+x+6x+6[/tex]

[tex]x^2+7x+6=x(x+1)+6(x+1)[/tex]

[tex]x^2+7x+6=(x+1)(x+6)[/tex]

For b=5,

[tex]x^2+5x+6=x^2+2x+3x+6[/tex]

[tex]x^2+5x+6=x(x+2)+3(x+2)[/tex]

[tex]x^2+5x+6=(x+2)(x+3)[/tex]

Therefore, the two possible values of b are 7 and 5.

Select the equations that show a proportional relationship between x and y.
y = 3x - 3
y = 3x

Answers

Answer:

The answer is the 2nd one.

hey what's

[tex]4 {}^{3} [/tex]

Answers

Answer:

64

Step-by-step explanation:

4×16

64 sorryyy but I think this is it

Answer:

4³ is 64

Step-by-step explanation:

4 × 4 × 4 = 64

hope its correct

else you can report so that someone else can answer the correct one

At a restaurant, Natalie and her nine friends decided to divide the bill evenly. If each person paid $9.62, then what was the bills total?

Answers

Answer: 96.20 should be the answer

Step-by-step explanation:

Answer: $9(.2/$96.20

Step-by-step explanation:

If natalie and her nine friends go to a restaurant that equals 10 people total. To find out how much the bill cost entirely, all you have to do is multiply the number of people (10) by the amount each person paid ($9.62).

10 x 9.62 = 96.2 or 96.20

If 3 varies inversely as x and y=2 when x=25, find x when y=40

Answers

Answer:

you get X= 1.25!!!!! :) have a great day

Step-by-step explanation:

6.85 x 10^8 = 685,000,000

can any of you guys help out by showing work on how this is the answer

Answers

Answer:

Step-by-step explanation:

10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100000000

100000000 x 6.85 = 685,000,000

Answer:

scientific notation. I did this a few moths ago.

Step-by-step explanation:

since it is 10^8 you're going to move your decimal as far the right as you can which then changes it to 685. x 10^6. After that you add 6 zeros (from the 10^6) and change it from a decimal to a comma to get 658,000,000... i hope this helps

what two numbers multiply to 24 and add 14

Answers

Answer:

its 2 and 12

just basic math lol

Answer:

2 and 12

Step-by-step explanation:

2x12=24

2+12=14

Slope Please help!!!!!

Answers

Answer:

2/3

Step-by-step explanation:

2/3

Step-by-step explanation:

Very Simple

Take 2 points

x,y

x1,y1= 3,2

x2,y2=6,4

Find the slope

Y2-Y1/X2-X1

4-2/6-3

2/3

dose the following table of points represent a function

Answers

Answer:

no

Step-by-step explanation:

theres no common theme between the x and y variable

Which of the following functions represents a linear function?​

Answers

Answer:

The top and the bottom

Step-by-step explanation:

Answer:

#3, the one with the straight line --> linear bc its a constant slope

Part A: find the measure of x and y


Part B: choose the correct degree measure for arc JKL

Answers

Answer:

x = 7

y = 4

Arc JKL = 262°

Step-by-step explanation:

Find the diagram attached

Using the theorem;

Sum of opposite angle of the quadrilateral is 180°

7x+131 = 180

7x = 180-131

7x = 49°

x = 49/7

x = 7

Similarly;

11x+y+99 = 180°

11(7)+y+99 = 180°

77+99+y = 180

176+y = 180

y = 180-176

y = 4

arc JKL is the obtuse angle at the centre

Arc JKL = 360-(angle at the centre)

Angle at the centre is twice angle at the circumference.

Angle at the centre = 2(7x)

Angle at the centre = 2(49)

Angle at the centre = 98°

Arc JKL = 360-98

Arc JKL = 262°

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