(1+√3) (3-√3)
[tex]simplify[/tex]

Answers

Answer 1

Answer:

  2√3

Step-by-step explanation:

Multiply these binomials in the usual way:

  (1 +√3)(3 -√3) = 1(3 -√3) +√3(3 -√3)

  = 3 -√3 +3√3 -3 = (3 -3) +√3(-1 +3)

  = 2√3


Related Questions

The speed(S) of a car varies partly directly as its mass(M) and partly directly as the quantity (Q) of fuel in it. When the speed is 80km/hr, the mass is 220kg and the quantity of fuel is 30litres, when the speed is 60km/hr, the mass is 300kg and the quantity of fuel is 40 litres. Find the volume of fuel if the speed is 100km/hr and the mass 250kg​

Answers

Answer:

S varies partly directly as M and Q.

S=C.

S=KMQ+C.

For the first one...

speed=80,m=220,Q=30.

80=K20×30+C.

80=600K+C......(I).equation one.

For the second one....

speed=60,m=300,Q=40.

60=K300×40+C.

60=12000K+C.....(ii). equation two.

Minus eqtn(I) from eqtn(ii).

80=600K+C.

- 60=12000K+C.

K=0.01754~0.018.

Substitute K=0.018 into eqtn(I).

80=600K+C

80=600×0.018+C.

80=10.8+C.

C=80-10.8=69.2.

The relation is S=0.018MQ+69.2

when speed is 100 and mass is 250 find the volume.

100=0.018×250×Q+69.2.

100=4.5Q+69.2.

4.5Q=100-69.2

4.5Q=30.8.

Q=30.8/4.5.

Q=6.8~7litres.

What is the area of the wreck site?

Answers

Answer:

where is the photo?

Step-by-step explanation:

Where is the photo, I need you to give me more details so i can officially answer your question, thank you :)

Simplify the expression 7 - X-(-5x) - 10 + 4x.

Answers

7-x-(-5x)-10+4x
=7-x+5x-10+4x
= -x+5x+4x+7-10
=4x+4x-3
=8x-3

Hope this can help.

1. Simplify 2(1 - 10x) - 2(6x - 4)

Answers

-32x+10 !!!!!!!!jdhdhdhbdbdbrbrbbrd

-9x+10y = -18
3x- y =6
Elimination

Answers

Answer: x = 2 and y = 0

Explanation:

-9x + 10y = -18
3x - y = 6
————————
-9x + 10y = -18
10(3x - y = 6)
————————
-9x + 10y = -18
30x - 10y = 60
————————-
21x = 42
x = 42/21
x = 2

Find y:

3x - y = 6
3(2) - y = 6
6 - y = 6
-y = 6 - 6
-y = 0
y = 0

Step-by-step explanation:

Hey, there!!

To solve this type of equation it is very easy from elimination method,

Firsty, you try to search if there is opposite sign of same variables or not in both equation. Then find their LCM to make easy to cancel.And thirdly add or subtract the terms to get value of one variable. Then substitute the value of one variable to get value of another variable.

Here, the given equation are,

-9x+10y = -18..........(i)

3x-y = 6....................(ii)

Let's take LCM to solve for x.

To solve for "x" we must cancel "y".

LCM= 10 { lcm of 1 and 10 is 1}

So, let's multiply equation (ii) by 10 and add them.

Then,

-9x + 10y = -18

30x - 10y = 60

21x = 42 { as +10y and -10y gets cancelled}

[tex]x = \frac{42}{21} [/tex]

Therefore, x= 2.

Substituting the value of x in equation (i)

-9x + 10y = -18

-9 × 2 +10y = -18

-18 + 10y = -18

or, 10y = -18 +18

Therefore, y= 0.

So, the value of x is 2 and y is 0.

Hope it helps...

What’s the sum of the number m and the number after it?

Answers

Answer:

wat number put the value there

The required sum of the number m and the number after it 2m + 1.

Given that,
To determine the sum of the number m and the number after it.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Let the number m and the number after m is m+1
Now the sum = m + m + 1
                      = 2m + 1

Thus, the required sum of the number m and the number after it 2m + 1.

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PLZ ANSWER ASAP Select all the true statements. Line segment from -6 to 6. Point A is at -2, point b is at 1 and point c is at 6 The length of AB is -3. AB + BC = AC AB + AC = BC d(B, C) = BC = |6 - 1| The length of BC is 6.

Answers

Answer:65

Step-by-step explanation:

hgjvmd

Simplify each expression 7(9k + 6m)

Answers

Answer:

The correct answer is 63k + 42m.

Step-by-step explanation:

To solve this problem, we must remember how to use the distributive property.  The distributive property tells us that if we have a coefficient outside of the parentheses (in this case, 7), we can multiply each term inside the parentheses by this coefficient and add the products together.  This is modeled below:

7(9k + 6m)

(7*9k) + (7 * 6m)

63k + 42m

Therefore, the correct answer is 63k + 42m.

Hope this helps!

The answer is 63k+42m

Explanation: you take 7 and multiple it by 9k and that equals 63k and then you take 7 again and multiply it by 6m and that equals 42m

given the expotential function f(x) = 4(3)^x find f(0) and f(1)

Answers

Answer:

4 and 12

Step-by-step explanation:

Given

f(x) = 4[tex](3)^{x}[/tex] , then

f(0) = 4[tex](3)^{0}[/tex] = 4 × 1 = 4 [ [tex]a^{0}[/tex] = 1 ]

f(1) = 4[tex](3)^{1}[/tex] = 4 × 3 = 12

∠A and ∠B are complementary angles. If the measure of ∠A is 42°, find the measure of ∠B.

Answers

Answer:

∠B = 48°

Step-by-step explanation:

Since ∠A and ∠B are complementary angles their angles sum up to 90°.

In order to find ∠B add both ∠A and ∠B and equate them to 90° and solve for ∠B

That's

∠A + ∠B = 90

42 + ∠B = 90

∠B = 90 - 42

We have the final answer as

∠B = 48°

Hope this helps you

Answer:

∠B = 48°

Step-by-step explanation:

A Complementary angles are total of 90°

If the measure of ∠A is 42°, find the measure of ∠B:

∠A + ∠B = 90°

42° + ∠B = 90°

∠B = 90° - 42°

∠B = 48°

“c.” isnt part of the question fyi
this is for AP Calculus

Answers

Answer:

  -2/3

Step-by-step explanation:

  [tex]\ln{\dfrac{1}{\sqrt[3]{e^2}}}=\ln{e^{-\frac{2}{3}}}=-\dfrac{2}{3}[/tex]

helppppp
Simplify (93 - √25+? 42
÷ 8)2
** show all of your steps using order of operation

Answers

Answer:

186.5 + 2x

Step-by-step explanation:

First, radify 25. Luckily it's a perfect square so it will be 5.

Second, divide within the parentheses. You're expression should look like this.

(93-5+x+42/8)2

Divide 42/8. The decimal form would be 5.25, while the fraction should be 5 1/4.

Third, solve within the parentheses from left to right. Right now you're expression should look like this:

(93-5+x+5.25)2

Add all like terms

93-5+5.25=93.25

Fourth, multiply. Right now the expression should look like this:

(93.25 + x) 2

186.5 + 2x

Which type of conic section is described by the equation 4x^2 = 10 +y^2? Due in 2 HOURS, will give BRAINLIEST! A. Ellipse B. Circle C. Parabola D. Hyperbola

Answers

Answer:

c

Step-by-step explanation:

Hyperbola is the conic section described by the equation 4x² = 10 +y²

What is Parabola?

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.

To identify the type of conic section from an equation whether it is circle, or ellipse a let suppose the equation as,

Ax²+By²+Cx+Dy+E=0

The given equation is 4x² = 10 +y²

4x²-y²=10

Divide the whole equation by 10

4x²/10 - y²/10=1

2x²/5- y²/10=1

x²/(1/2)- y²/10=1

The given equation is in the form of hyperbola.

Hence, hyperbola is the conic section described by the equation 4x² = 10 +y²

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determine the prime factors of 84 in tree map​

Answers

Step-by-step explanation:

I hope i got it right...

Whats the answer? 8(2 ÷ 2) = 2(8 ÷ 2) A. 6=6 B. 4=4 C. 8=8

Answers

The answer is c 8=8 because 2/2=1x8=8 and 8/2=4x2=8 so it is c 8=8

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8 = 8}}}}}[/tex]

Option C is the correct option

Step-by-step explanation:

[tex] \sf{8(2 \div 2) = 2(8 \div 2)}[/tex]

Left hand side ( L.H.S )

⇒[tex] \sf{8(2 \div 2)}[/tex]

Divide 2 by 2

⇒[tex] \sf{8 \times 1}[/tex]

Multiply the numbers : 8 and 1

⇒[tex] \sf{8}[/tex]

Again, Right hand side ( R.H.S )

[tex] \sf{2(8 \div 2)}[/tex]

Divide 8 by 2

⇒[tex] \sf{2 \times 4}[/tex]

Multiply the numbers : 2 and 4

⇒[tex] \sf{8} [/tex]

8 = 8

Hope I helped!

Best regards!!

2. It takes 6 eggs to make 2 loaves of banana bread. How many eggs are needed to make 1 loaf of
bread?​

Answers

Answer:

3

Step-by-step explanation:

Answer:3

Step-by-step explanation: because half of 6 eggs are need to make 2 loaves so split that in half and you have 3

calculate the mid points of the line segments below using the midpoint formula given two endpoints (9,7) (-8, 10)​

Answers

Answer: (0.5, 8.5)

Step-by-step explanation: (9+-8/2) is 1/2 and (7 + 10/ 2) is 8.5. After plugging it into the equation, I checked with a graphing site.

Please helpppp meeee

Answers

Answer:

AB=62, BC=61, AC=57, PR=75, PQ=52.5, QR=52.5

Step-by-step explanation:

which best describes how to solve the equation below 64x = 37

Answers

Answer: Division

Step-by-step explanation: divide both sides by 64

divide it step by step

What is (0.83)4 rounded to the nearest hundredth?​

Answers

Answer:

3

Step-by-step explanation:

Translate this sentence into an equation.
The sum of 14 and Vidya's score is 43.
Use the variable v to represent Vidya's score.

Answers

14+v=43

The equation shows the sum of 14 and Vidya’s score (v), which equals 43.

The sum of 14 and Vidya's score (v) can be translated into an equation as follows: 14 + v = 43

Let's represent Vidya's score using the variable "v."

In this equation, "v" represents Vidya's score, and the left-hand side of the equation represents the sum of 14 and Vidya's score. The right-hand side represents the value 43, which is the total sum according to the given statement.

To know more about equation:

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Inverse Function f(x)= 5 -1/3x

Answers

Answer:

f(x)⁻¹ = -3x + 15

Step-by-step explanation:

y = -1/3x + 5

x = -1/3y + 5

x - 5 = -1/3y

(x - 5)(-3) = y

-3x + 15 = y

easy 10 points and brainliest!

Answers

Answer:

x must be 0

Step-by-step explanation:

because if there is any point that is on the y axis that would mean that it would be dirrectly on the line and that would be the equivslent of x = 0

Answer:

x = 0

Step-by-step explanation:

If the point (x,y) is on the y-axis, that means the x coordinate is 0.  The point can travel vertically anywhere on the axis, but not left or right of the axis.

Cheers.

Li uses 8.4 grams of sugar every day in her tea. Sue uses 12.6 grams of sugar every day in her coffee. If Li’s sugar canister contains 128 grams of sugar and Sue’s canister contains 191 grams, in how many days will Li and Sue have the same amount of sugar in their canisters?

Answers

Answer:

They will have the same amount of sugar in their canisters in 15 days

Step-by-step explanation:

Here in this question, we are concerned with knowing the number of days in which the amount of sugar in both canisters will be the same.

Since we do not know the number of days it will take, we have to represent it using a variable.

Let the number of days be x days

Now, we are told Li uses 8.4 g per day.

So in x days, the amount user will be 8.4 * x = 8.4x g

Thus, the amount of sugar remaining in her canister after x days will be 128 - 8.4x

For Sue, she uses 12.6 grams each day. So in x days, the amount of sugar used will be 12.6 * x = 12.6x g

So the amount of sugar left in her canister will be 191-12.6x

Since on the xth day , the amount of sugar remaining is same, we can equate the amount of sugar remaining in both canisters. That would be;

128-8.4x =191-12.6x

Collect like terms;

12.6x-8.4x = 191-128

4.2x = 63

x = 63/4.2

x = 15 days

Please help! (Question in picture)

Answers

The answer is C. You just simplify all of the terms.

I think it is C but i'm not entirely sure sorry if its wrong gotta go

Help please thank youu <3

Answers

Answer:

4. 10m+50=200

Step-by-step explanation:

10m meaning hes getting 10 each month that's why the m is there and on too he is getting another 50 which is why you would need to add 50 and obviously a total of 200 is at the end

Answer:

4) 10m+50 = 200

Step-by-step explanation:

As here "m" denotes "month" , Maxs save $10 a month so it is - 10m .

$50 for grandma and he need to save $200.

So we get the equation :

10m+50=200

A square piece of cheese covers 8 square inches of a plate. What is the approximate length of one side of the piece of cheese? (Approximate to the nearest hundredth inch.) (4 points)

Answers

Greetings from Brasil...

According to the statement, we can conclude that 1 square (of cheese) has 8in²

The area of a square is given by the expression:

A = S²

where S is the side of the square - just what we want to know

So:

A = S²

8 = S²

√8 = S

S ≈ 2.83in

someone help me please

Answers

Answer:

-x^2 + 2x + 1

Step-by-step explanation:

Standard form of a polynomial is Ax^2 + Bx + C. (Highest degree to lowest degree)

-x^2 + 2x + 1.

ALGEBRA 1: HELP ME PLEASE 20POINTS

When a value for x is put into the machine, a value for y comes out. That output then becomes the input for another machine. An example is shown at the bottom.
What is the output from the second function machine? Explain.

Answers

Here you go queen/king hope this helps!

Make y the subject of the following: 7(y-3)=4(3-y) no spamming

Answers

Answer:

              y = 3

Step-by-step explanation:

7(y - 3) = 4(3-y)

7y - 21  = 12 - 4y

   +4y        +4y

11y - 21  = 12

   +21       +21

 11y  =  33

  ÷11      ÷11

  y = 3

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