Simplify the following surd expressions

a) 6√2 -5√2

b) √11 + 3√11​

Answers

Answer 1
a) √2
b) 4 √11


tip: if the surds are the same you can add and subtract the other number as normal!!

hope that helps!
Answer 2

Answer:

a) 6√2 -5√2-_________________       √2     (6-5=1)

b) √11 + 3√11​ =  1√11 + 3√11​ _______       4√11​   (1+3=4)

Step-by-step explanation:

a ) have the same surd factor, so just  find the difference of rational co-efficient of like surds.

b) have the same surd factor ,so just  find the sum  of rational co-efficient of like surds.


Related Questions

Given Brainly to who ever help

Answers

Perimeter: 26
Area: 32

Let me know if you need me to explain in depth!!

PLEASE HELP FAST
The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer: x = 10

Will give steps in comments since you need this answer FAST

(I need help ) the graph shows the relationship between the
number of cubic yards of soil ordered and the
total cost of the soil delivered.

Answers

Answer:

80/320

Step-by-step explanation:

answer is given

At the most recent dance ASB sold 143 tickets and collected $1470 of students sold for $10.00 and teachers tickets sold for $15.00 how many teachers attended the dance

Answers

Answer:

8

Step-by-step explanation:

1470 = 10s+15t

143 = s+t

1470 = 10(143-t)+15t

40 = 5t

8 = t

What is the exact area of a circle with a radius of 12 feet? 24π Square Feet 36π Square Feet 121π Square Feet 144π Square Feet Question 2. What is the approximate area of the circle? Use π = 3.14 (the circle has 10.4 inside it) 32.7 square centimeters 65.2 square centimeters 108.2 square centimeters 339.6 square centimeters Question 3. What is the approximate area of a circle with a radius of 28 centimeters? Use π = 3.14 87.9 square centimeters 175.8 square centimeters 2461.8 square centimeters 4923.5 square centimeters Question 4. What is the approximate area of a circle with a diameter of 50 centimeters? Use π = 3.14 87.9 square centimeters 379.9 square centimeters 1962.5 square centimeters 4923.5 square centimeters

Answers

Answer:

144πfeets² ; 339.6 cm² ; 2461.8 cm² ; 1962.5 square centimeters

Step-by-step explanation:

Area of a circle, A = πr²

1.)

with a Radius of 12 feets

A = π * 12² = 144πfeets²

2.)

Approximate area :

3.14 * 10.4² = 339.6224 feet²

3.)

with a Radius of 28 cm

A = 3.14 * 28² = 2461.76cm²= 2461.8 cm²

4.

Diameter = 50 cm ; Radius = 50/2 = 25

with a Radius of 25 centimeter

A = 3.14 * 25² = 1962.5 cm²

what is the value of x and y?

Answers

Answer:

The right answer is x = 8, y = 40.

Step-by-step explanation:

Since this triangle is isosceles we know that...

∠ACB = ∠ABC

40° = (5x)°

40 = 5x

x = 40 / 5

x = 8

We also know that the sum of all angles inside the triangle is equal to 180°, therefore...

∠BAC = 180° - ∠ACB - ∠ABC

(2y + 20)° = 180° - 40° - 40°

2y + 20 = 100

2y = 100 - 20

2y = 80

y = 80 / 2

y = 40

From this, we know that the right answer is x = 8, y = 40.

Work out the area of this circle.
Take it to be 3.142 and write down all the digits given by your calculator.
21 cm

Answers

Answer:

If the 21 cm is circumference, the answer would be 35.09.

If the 21 cm is radius, the answer would be 1385.44.

If the 21 cm is diameter, the answer would be 346.36.

Which of the following statements about the image below is true

Answers

Answer:

It is answer 3

Step-by-step explanation:

If janice plays a game once and the probability of getting yellow is 0.24. How many times will the color shown be yellow if she plays 50 times?

Answers

Answer: 12

Step-by-step explanation:

Given

The probability of getting yellow color is 0.24

If the no of trials is 50

[tex]\text{No. of times yellow color shown(N) is}=p\times \text{no of trails}\\\Rightarrow N=0.24\times 50=12\ \text{times}[/tex]

Yellow color appears 12 times

a. What is the circumference of the
largest circle that can be cut from a
square measuring 30 cm on a side?
Use 3.14 for T.


b. What percent of the perimeter of the
square is the circumference of the
circle?

Answers

Answer:

Step-by-step explanation:

a. The diameter of the circle will be 30 cm

So circumference is 3.14 * 30  = 94.2 cm.

b. Required percentage = (94.2) * 100 / (4*30)

= 78.5%.

Solve for x by completing the square. Round ur answer to the nearest thousandth. X^2+6x-3=0

Answers

Answer:

x = 0.375

it is already rounded to the nearest thousandth.

what is the area of the trapezoid?​

Answers

Answer:

A=a+b

2h=10+20

2·6=90

Step-by-step explanation:

HAVE A GREAT DAY

Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.

y+2=3 (x-6)

Answers

Answer:

Step-by-step explanation:

It x=2

what are the roots of: y=x^2+3x-98

Answers

Answer:

Step-by-step explanation:

A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?

24.5 square feet
59.5 square feet
70 square feet
147 square feet

Answers

A. 24.5 square feetttttttttttttttttttttt

Solve the equation for x.
2 x/3 = 100.6

A) x ≈ 2.22
B) x ≈ 19.96
C) x ≈ 0.41
D) x ≈ 6.65

Answers

Answer:

150.9

Step-by-step explanation:

2/3x=100.6

x=100.6/(2/3)

x=100.6(3/2)

x=150.9

Answer:

It is answer B

Step-by-step explanation:

If a tree casts a 24 foot shadow while a yardstick casts a 2 foot shadow what’s the height of the tree ? Need help please ASAP

Answers

Answer:

The tree is 12 yards tall

Step-by-step explanation:

Line l has equation y=-3. Find the distance between l and the point E(-7,0).
Round to the nearest tenth.

Answers

Answer:

The given line has slope m=1

the perpendicular line MUST have slope -1

Since it MUST eat (-3,2), the intercept formula says

B = y - mx = 2 - (-1)(-3)  = 2 - 3 = -1

so the equation of the perpendicular line that eats point W is

y = -x -1

The lines y=x+3 and it's perpendicular y = -x-1 intersect at

  y = x+3 = -x-1

   2x+3 = -1

  2x = -4

  x = -2

THe intersection point is

(-2,1)

Finally by distance formula,

The distance between (-3,2) and (-2,1) is

 sqrt ( (-3 - -2)^2 + ( 2-1)^2)

= sqrt( (-3 + 2)^2 + (2-1)^2)

 = sqrt( (-1)^2 + 1^2)

  = sqrt ( 1+1)

 = sqrt(2)

Step-by-step explanation:

The distance between line l and the point E (-7, 0) will be;

D = 3.

What is distance between point and line?

The distance between a line ax + by + c = 0 and point (p, q) will be;

D = |ap + bq + c|/√a² + b²

Given that;

Equation of line;

y = -3

And, Point = E (- 7, 0)

Hence, The distance between a line and point is calculated as;

Equation of line;

y = -3

y + 3 = 0

Compare with ax + by + c = 0, we get;

a = 0, b = 1 and c = 3

And, Point = (p, q) = (-7, 0)

Thus, The distance between a line and point is;

D = |0 + 0 + 3|/√0+1

D = 3

So, The distance between line l and the point E (-7, 0) will be;

D = 3.

Learn more about the equation of line visit:

https://brainly.com/question/24656140

#SPJ2

Simon has seven apples he gives 20% to his friend micheal how much apples deos micheal have

Answers

Answer:

He will have 1.4 apples.

Answer:

1 1/4

Step-by-step explanation:

asked my family lol

If barak spend 20$ at the mall. That represents 16% of the money he earned at the pizza parlor . How much money did barack earn

Answers

Answer:

$125

Step-by-step explanation:

20 is 16% of what number?

20 = .16n

n = 20/.16 = 125

find the simple interest principle 950 interest rate 12% time 4 years

Answers

Answer:

A= $1406

Step-by-step explanation:

The formula for simple interest is A=P(1+rt), where P=Principal, R=Rate, and T=Time. Before you plug your numbers into your formula, you must first convert 12% to a decimal (This is simple because all you have to do is divide 12 by 100.)- 0.12.

Now, you can plug your numbers into the formula: A=950(1+0.12x4). To make this less complex, I suggest working in the parenthesis first- specifically simplifying rt, or multiplying 0.12 by 4 (you should get 0.48)! Now, you are just about ready to go. A=950(1+0.48)- You can plug this into your calculator as is, or you can go on ahead and add the numbers in the parenthesis if that makes you feel better! (You should get 1.48).

Your final formula should be 950(1.48), and you should plug this into a TEACHER-APPROVED CALCULATOR to save time!

Your final answer should be $1406, otherwise you did something wrong! XD!

Find the length of midsegment JN in the trapezoid.

Answers

Answer:

JN = 18.6

Step-by-step explanation:

Theorem:  The length of the midsegment of a trapezoid is the average of the bases.

[tex]JN = \frac{15.4 + 21.8}{2}[/tex]

       [tex]= \frac{37.2}{2}[/tex]

       = 18.6

See how easy that is when you know the theorem.

The length and width of a rectangle are 1/6 inches and 3/8 inches. What is the perimeter (in inches) of the rectangle?

Answers

Answer:

1 1/12inches

Step-by-step explanation:

Given

Length = 1/6 inches

Width = 3/8 inches

Perimeter of the rectangle = 2 (Length + Width)

substitute

P = 2(1/6 + 3/8)

P = 2(4+9/24)

P=  2(13/24)

P = 26/24

P = 1 2/24

P = 1 1/12inches

hence the perimeter of the triangle is 1 1/12inches

A group of friends wants to go to the amusement park. They have $243.25 to spend on parking and admission. Parking is $15.75, and tickets cost $22.75 per person, including tax. How many people can go to the amusement park?

Answers

Answer: 10 people

Step-by-step explanation:

Parking needs to be paid for but if all friends are going together, they need to only pay once for parking.

The amount spent on just tickets is therefore:

= 243.25 - 15.75

= $227.50.

If $227.50 was for tickets alone, the number of tickets they could buy is:

= Total amount left/ Price of tickets

= 227.50 / 22.75

= 10 people

ASAP PLEAE HELP
I WILL GIVE BRAINEST

FIND THE INDICATED MISSING ANGLE MEASURE.
ROUND THE ANGLE MEASURE TO THE NEAREST WHOLE DEGREE.

Answers

Answer:

21.801

Good luck

the model below, the anchor of a guy-wire is 16 feet away from the telephone pole. John puts a 5 foot pole under the guy-wire parallel to the telephone pole (see image below).
John knows the distance he put his pole from the anchor, which is labeled X. John says he can use similar triangles to calculate the height of where the guy-wire meets the telephon
ble.
o you agree with John's statement that he can prove similarity if we know side x? Provide mathematical justification.
h
5 ft
16 ft
В І у

Answers

Answer:

Yes, because the two triangles share common segments.

Ursula interviewed 75 people to see if they liked reading comic books. 15 of the people surveyed were males. 32 females liked comic books, and nine males liked comic books. What is the conditional frequency that a person does not like comic books given that the person is a male?

Answers

Answer:

40% or 0.4 (doesn't matter which you put they're the same)

Step-by-step explanation:

60 female

6/15

evaluate the function

Answers

Answer:

f=(x^2/2)+(9x/2)

Step-by-step explanation:

You earn $62.50 shoveling snow off of 5 driveways. You charge the same amount for each driveway. How much did you earn for each driveway?

Answers

Answer:

the answer is 62.5/5=12.5

Answer:

12.5

Step-by-step explanation:

62.50 ÷ 5 = 12.5

Hope this helps!

find the value of x in a triangle. x-20, x+10, x-20

Answers

The value of the angles should be. (x-40°). , (x-20°), (½x-10°) , not (x-40°) + (x-20°)+(½x-10°)

Sum of all the interior angles of a triangle is 180°.

So a equation can be made by the given data,

(x-40°) + (x-20°) + (½ x-10°) = 180°

x-40°+x-20°+½x-10° = 180°

2x+½x -60°-10° = 180°

5/2 x - 70° = 180°

5/2 x = 180° + 70°

5/2 x = 250°

x = 250° × 2/5

x = 50° × 2

x = 100°

So the angles are

x-40° = 100°-40° = 60°

x-20° = 100°–20° = 80°

½x-10° = ½(100)° - 10° = 50° -10° = 40°

The answer can be checked by putting the values of the angle we got in the second statement i.e. Sum of all the interior angles of a triangle is 180°.

60° + 80° + 40° = 100° + 80° = 180°

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