SOMEONE HELP ME IM FREAKING OUT I LITERALLY CANT WITH THIS QUESTION IM PRAYING PLEASE HELP ME IM SO SERIOUS IM GONNA END IT PLS HELP ME the question is like 3-v BUT LIKE THE v has a line on top so its like 3-v32/1+v2 LIKE I DONT UNDERSTAND
can be written in the form a + bv2
where a and b are integers .

SOMEONE HELP ME IM FREAKING OUT I LITERALLY CANT WITH THIS QUESTION IM PRAYING PLEASE HELP ME IM SO SERIOUS

Answers

Answer 1

Answer:

[tex]\sf -11+7\sqrt{2}[/tex]

Step-by-step explanation:

Given expression:

[tex]\sf \dfrac{3-\sqrt{32}}{1+\sqrt{2} }[/tex]

Rewrite 32 as 16 · 2:

[tex]\sf \implies \dfrac{3-\sqrt{16 \cdot 2}}{1+\sqrt{2} }[/tex]

Apply radical rule [tex]\sf \sqrt{a \cdot b}=\sqrt{a}\sqrt{b}[/tex]

[tex]\sf \implies \dfrac{3-\sqrt{16}\sqrt{2}}{1+\sqrt{2} }[/tex]

As [tex]\sf \sqrt{16}=4[/tex]:

[tex]\sf \implies \dfrac{3-4\sqrt{2}}{1+\sqrt{2} }[/tex]

Multiply by the conjugate:

[tex]\sf \implies \dfrac{3-4\sqrt{2}}{1+\sqrt{2} } \times \dfrac{1-\sqrt{2} }{1-\sqrt{2} }[/tex]

[tex]\sf \implies \dfrac{(3-4\sqrt{2})(1-\sqrt{2})}{(1+\sqrt{2})(1-\sqrt{2})}[/tex]

[tex]\sf \implies \dfrac{3-3\sqrt{2}-4\sqrt{2}+4\sqrt{2}\sqrt{2}}{1-\sqrt{2}+\sqrt{2}-\sqrt{2}\sqrt{2}}[/tex]

As [tex]\sf \sqrt{2}\sqrt{2}=\sqrt{4}=2[/tex]:

[tex]\sf \implies \dfrac{3-3\sqrt{2}-4\sqrt{2}+4 \cdot 2}{1-\sqrt{2}+\sqrt{2}-2}[/tex]

[tex]\sf \implies \dfrac{3-7\sqrt{2}+8}{1-2}[/tex]

[tex]\sf \implies \dfrac{11-7\sqrt{2}}{-1}[/tex]

[tex]\sf \implies -11+7\sqrt{2}[/tex]


Related Questions

A fruit punch is made with 32 ounces of ginger ale for every 12 ounces of frozen orange juice
concentrate. How much ginger ale should you use for 30 ounces of orange juice concentrate?

Answers

Answer:

80

Step-by-step explanation:

if you make a ratio table

32ginger ale = 12orange juice

now we now 6x5=20 so we can divide 12 by 2 which would give us 6 and the same with 32 which would give us 16 now you have

16ginger ale = 6 orange juice

and we need 30 orange juice so 6x5= 30 and we multiply 16 by 5 too so 16x5=80 t

therefore

80 ginger ale = 30 orange juice


What is the area of a sector of a circle with a radius of 8 inches and formed by a central angle that measures 80 degrees?

Answers

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =80 \end{cases}\implies \begin{array}{llll} A=\cfrac{(80)\pi (8)^2}{360}\implies A=\cfrac{128\pi }{9} \\\\\\ A\approx 44.68~in^2 \end{array}[/tex]

HELP HELP HELPPPPP

thanks lol

Answers

Answer:

257mm^2

Step-by-step explanation:

18*(3+15)/2 = 162

4*(15+5) =80

3+5 = 15

total = 257 mm^2

Answer:

Step-by-step explanation:

Area of composite figure:

Shape I:

Shape I is an triangle

base= 3 + 15 + 5 = 23 mm

height =  18 mm

[tex]\boxed{\text{Area of traingle = $\dfrac{1}{2}base*height$}}[/tex]

                          [tex]= \dfrac{1}{2}*18*23\\\\= 9*23\\\\= 207 \ mm^{2}[/tex]

Shape 2:

Shape 2 is an rectangle.

length = 15 + 5 = 20 mm

width = 4 mm

[tex]\boxed{\text{Area of rectangle = length * width}}[/tex]

                             = 20 *4

                             = 80 mm²

Shape 3:

length = 5 mm

widht = 3 mm

Area of shape 3 = 5 * 3 = 15 mm²

Area of the composite shape = 207 + 80 + 15

                                                   = 302 mm²

What is (3.14)(87.5)²=____?

Answers

Answer:

24040.625

Hope this helped! I'm not good at explaining the steps, but this is the answer.

can someone help me with this queston

Answers

Step-by-step explanation:

1) option A OR B AS THEY ARE THE SAME

2) option a

Answer: question 1 is b

Question 2 is a

Step-by-step explanation: hope it helps

in question 1 a and b are the same so choose this or this

Ben used 130. 2 pounds of gravel in his front yard and 110. 4 pounds in his back yard. How many more pounds of gravel does Ben use in his front yard than his back yard?

Answers

Answer:

19.8

Step-by-step explanation:

Subtract 130.2 by 110.4

Please help!!!!! I will give brainliest (As soon as i figure out how) LOL Im new here

Answers

Answer:

H= 8 k = 11

Step-by-step explanation:

H= 8 k = 11

sqrt ( x^8 k^11) =  x^4 k^5 sqrt k

What is the best estimate of the area of the figure on the grid if each square has a side length of 1 inch?
12 square inches
O 20 square inches
25 square inches
O 33 square inches

Answers

Answer:12 i think

Step-by-step explanation:

Please I need step by step solution.
Q/ sin135° Use half angle identity.​

Answers

Answer:

Step-by-step explanation:

Sin (90 + Ф ) =Cos Ф

135° = 90 + 45

Sin 135° = Sin (90 + 45)

             = Cos 45°

             [tex]= \dfrac{1}{\sqrt{2}}[/tex]

Find the median of the data set without the outlier.
Then, find the median of the data set with the outlier.

Answers

Answer:

Median without the outlier: 9

Median with the outlier: 9

Step-by-step explanation:

The outlier here is 1, because it's smaller than most of the values in the data set.

Median: the middle value of a data set

Median without the outlier: 9

7, 8, 8, 9, 9, 10, 10, 10, 10

Median with the outlier: 9

1, 7, 8, 8, 9, 9, 10, 10, 10, 10

9 + 9 = 18

18/2 = 9

Hope this helps!

Answer:

the without the outlier 9

set with with the outlier 9

Step-by-step explanation:

what is the area of the parallelogram below if b=6.1? Round your answer to the nearest tenth.

Answers

The answer to this is 48.8

Convert equation to standard form
18) y+1=4/5(x-5)

Answers

Answer:

4x - 5y = 25

Step-by-step explanation:

CAN SOMEONE HELP ME PLSSSSSS I ASKED THIS LIKE 3 TIMES BUT NO ONE ANSWERED.THABKYOU!
Determine the area of the park that is not covered by the wading pool.

Answers

Answer:

19.63 m^2

Step-by-step explanation:

This is an Area=pi r^2 equation so it would be 3.14*2.5^2

The scale drawing is 2 cm:5m. What is the length,width,and area of the actual room. 8cm & 12 cm

Answers

Answer:

Length= 20m, width=30m Area= 600m²

Step-by-step explanation:

The length becomes 8/2 × 5m=20m

the width becomes 12/2 × 5m=30m

Area = length × width

= 20m × 30m

=600m²

Find the following measures and angle measures.

Answers

Answer:

Step-by-step explanation:

find the domain of the function (f•g)(x) where f(x)2x^2+c, g(x)=5x-1

Answers

Step-by-step explanation:

Notice the domain for both function is all real numbers.

So if we either add, subtract, multiply, or compose the functions, the domain will be all real numbers.

10x - 8y = 4
-5x + 3y = -9
(please explain step by step I don't understand)​

Answers

Answer:

x = 6

y = 7

Step-by-step explanation:

10x - 8y = 4   ⇒ ( 1 )

-5x + 3y = -9  ⇒ ( 2 )

( 2 ) × 2

2 × ( -5x + 3y = -9 )

-10x + 6y = - 18  ⇒ ( 3 )

( 1 ) + ( 3 )

10x - 8y -10x + 6y = 4 - 18

-2y = - 14

Divide both sides by ( - 2 )

y = 7

Now let us replace y with 7 to find the value of x.

For that, let us use equation ( 1 ).

10x - 8y = 4

10x - 8 × 7 = 4

10x - 56 = 4

10x = 56 + 4

10x = 60

Divide both sides by 10.

x = 6

Answer:

[tex]\boxed{\sf{x=6 \quad y=7}}[/tex]

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

10x-8y=4 and -5+3y=-9

10x-8y=4

x=2(2y+1)/5

Substitute.

[tex]\sf{-5*\dfrac{2(2y+1)}{5}+3y=-9}[/tex]

Solve.

-y-2=-9

Add by 2 from both sides.

-y-2+2=-9+2

Solve.

-y=-7

Divide by -1 from both sides.

-y/-1=-7/-1

Solve.

Divide the numbers from left to right.

-7/-1=7

y=7

Substitute of y=7.

x=2(2*7+1)/5

PEMDAS stands for:

ParenthesisExponentsMultiplyDivideAddSubtract

2(2*7+1)/5

Do parenthesis first.

2*7=14

14+1=15

2(15)/5

Multiply.

2*15=30

Divide.

30/5=6

x=6

Therefore, the correct answer is x=6 and y=7.

I hope this helps you! Let me know if my answer is wrong or not.

PLS HELP ME ASAP I WILL MARK THE BRAINLIEST

Answers

Answer:

Unfortunately I was only able to solve the second question

Step-by-step explanation:

So sorry if I'm wrong but this is what I got:

Volume of a cylinder

V=πr^2h

V=π(4^2)(19)

V=955.04

Lateral S.A.

S.A.=2πrh

S.A.=2π(4)(19)

S.A.=477.52

Total S.A.

S.A.=2πrh+2πr^2

S.A.=2π(4)(19)+2π(4^2)

S.A.=578.05

Find the area of the shape below
11 ft
7 ft
10 ft
8 ft
2 ft

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Area of whole shape = Area of greater rectangle - area of smaller rectangle

Area of greater rectangle :

[tex]\qquad \sf  \dashrightarrow \:11 \times 10[/tex]

[tex]\qquad \sf  \dashrightarrow \:110 \: \: ft {}^{2} [/tex]

Area of smaller rectangle :

[tex]\qquad \sf  \dashrightarrow \:7 \times 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:56 \: \: ft {}^{2} [/tex]

Area of composite figure :

[tex]\qquad \sf  \dashrightarrow \:110 \: ft {}^{2} - 56 \: ft {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:54 \: {ft}^{2} [/tex]

What number is not part of the solution set to the inequality below?

x - 2 > or equal to 12

A 10
B 14
C 16
D 18​

Answers

Answer:

B. 14

Step-by-step explanation:

Add 2 to both sides:)

A right prism is shown below.


What is the surface area of the right prism?


Question options:


290 in2



420 in2



520 in2



2940 in2

Answers

Answer:

290 8s the answer because 15 mutiplyed by 8 plus 17 multiplyed by 10 give you 290

Answer:

[tex]\fbox{Surface \: area \: of \: prism = 520 \: sq.in.} [/tex]

Step by step explanation:

Given:

height of prism h = 10 in

length of base of triangle b = 8 in

height of triangle h' = 15in

side A of triangle = 17 in

To find:

Surface area of prism = ?

Solution:

[tex]\begin{gathered}Area \: of \: base \: triangle = \: \frac{1}{2}\cdot{b}{h'} \\ Area \: of \: base \: triangle = \frac{1} {\not2}\cdot{15} \times \not{8} \\ Area \: of \: base \: triangle = 60 \: {in}^{2} \end{gathered}[/tex]\\[tex]\fbox{Area \: of \: base \: triangle \: (B) = 60 \: sq.in. }\\\begin{gathered}Perimeter \: of \: base \: triangle = Side A + Height \: h' + base \: b \\ Perimeter \: of \: base \: triangle = 15 + 17 + 8 \: in\\ Perimeter \: of \: base \: triangle = 40 \: in\end{gathered}

[/tex]

[tex]\fbox{Perimeter \: of \: base \: triangle (p) \: = 40 \: in} [/tex]

[tex]\begin{gathered}Surface \: area \: of \: prism = 2B+ \: ph \\ Surface \: area \: of \: prism = 2 \times 60+ \: 40 \times 10 \\ Surface \: area \: of \: prism = 120 + 400\\ Surface \: area \: of \: prism = 520 \: {in}^{2} \end{gathered} [/tex]

[tex]\fbox{Surface \: area \: of \: prism = 520 \: sq.in.} [/tex]

Thanks for joining brainly community!

A sharper buys cat food and bags of 3 pounds her cat eats 3/4 pounds each week how many weeks does one bag last right in multiplication or division problem to represent this  situation

Answers

Answer:

Thus, the total food can be eaten by the cat in 4 weeks.Total weight of a bag of cat food = 3 lbs.The number of lbs the cat eats the food = 3/4 lbs each week.We need to find the number of weeks does one bag that is 3 lbs last.Now, the total food we have is 3 and cats eat 1/4th of total food each week.Thus, the total food can be eaten by the cat in 4 weeks.To know more about it, please refer to the link:brainly.com/question/12457996

Step-by-step explanation:

solve the system:
y=5
3x+y=2

solve the system:
y=5
4x-y=7

solve the system:
2x+y=12
3x-y=3


HELP PLEASE

Answers

Answer:

3x+5=2

3×=2- 5

3x= -3

x=-1

4x-5=7

4x=7+5

4x=12

4x÷4=12÷4

x=3

2x+5=12

2x=12-5

2x=7

2x÷2=7÷2

x=3.5

3x-5=3

3x=3+5

3x=8

3x÷3=8÷3

x=2.6

Please help, super confused :(

Answers

Answer:

Below.

Step-by-step explanation:

The graph shown is f(x).

3. The graph 3  is the same shaped graph as drawn but moved 3 units to the left.

4. The graph 4  is the same shaped graph as drawn but moved 5 units to the right.

Hope this helps.

How many unique triangles can be draw waith side lengths id 12 cm and 16 cm, and a 50 degree included angle?

Answers

Answer:

the answer for this question is 1

This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Fill in the blank question.
Complete the following to show that the expressions (5+1)(5−1) and 52−12 are equivalent.

Answers

This is question a and b equation + 51 12

marty's dog eats about 5 pounds of dog food every four days. what is the rate the dog eats his food in pounds per day?

Answers

Answer:

5/4 pounds

Step-by-step explanation:

Using unitary method:

4 days-------5 pounds

1 day---------5/4 pounds

Can y’all help me with thjs

Answers

I'll write in the format (x;y) where x is the salad dressings amount, and y is the amount of servings.

We can see the line goes through the points (1;2) , (2;4) , (3;6) ...

So, the amount of servings are doubled the amount of salad dressings she need to use. (1 cup every 2 servings, 2 cups every 4 servings, etc.)

-> Leslle used half a cup of salad dressing for every serving of salad (B)

Answer:

B.

Step-by-step explanation:

Remember the first value is called the x-coordinate and the second value is the y-coordinate.

Find the first point the line crosses over.

So let's take the point (2,1).

As you can see that for every 2 servings Leslie uses 1 salad dressing cup,

2 to 1

Now look at the answers,

So you can are ready mark off A since it is not true,

You can mark off C since the line does not cross over points (1,4),

You can mark off D since the line does not cross over points (1,2),

That leaves you with B,

To check if it is true you need to find how much salad dressing cups are in one serving,

To do that you need to divide by 2 on both sides,

2÷2=1

1÷2=[tex]\frac{1}{2}[/tex]

your new rate is 1 to [tex]\frac{1}{2}[/tex]

So B is your answer.


Mrs. Chase hired a landscaping service to plant a row of bushes around her triangular backyard. If the bushes
must be planted 3 feet apart, approximately how many bushes are needed for the backyard? (4 points work,
1-point final answer)
12
30

Answers

The number of bushes that is approximately needed for Mrs. Chase's backyard is 23 bushes

How many bushes are needed?

The number of bushes needed = perimeter of the backyard / 3 feet

The perimeter of the backyard is the sum of the three sides of the right triangle that is the shape of the backyard. The length of the third side would be detemined using Phythagors theorem.

Length of the third side : √30² - 12² = 27.50 feet

Perimeter of the backyard = 27.50 + 12 + 30 = 69.50 feet

The number of bushes needed =69.50 / 3 = 23.17 = 23 bushes

To learn more about triangles, please check: https://brainly.com/question/22949981

The volume of the right circular cylinder is 144 pi cubic yards. of h, the height of the cylinder is 4 yards, what is r, the radius of the base?

Answers

this my give a better understanding because of the formula to base time height multiplied by the volume
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