Expand and simplify the following
a) (V6 + V3 )(V6 -V3)

Answers

Answer 1

Answer:

Step-by-step explanation:I don't say you have to mark my ans as brainliest but my friend if it has helped you don't forget to tjank me...

Expand And Simplify The Followinga) (V6 + V3 )(V6 -V3)
Answer 2

[tex](\sqrt{6} + \sqrt{3})(\sqrt{6} - \sqrt{3}) = 6 -\sqrt{3} \sqrt{6} + \sqrt{3} \sqrt{6} - 3 = 6 - 3 = 3[/tex]


Related Questions

Which is a name for the angle shown? Select all that apply

Answers

Answer:

D

Step-by-step explanation:

Well, the angle is an acute angle and <CDE is what would connect to make an acute angle. Easy.

The name for the angle shown is  ∠D and ∠CDE.

What is Coordinate system?

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

An angle is formed when two straight lines or rays meet at a common endpoint.

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Angles formed by two rays lie in the plane that contains the rays.

Angles are also formed by the intersection of two planes.

The name of the angle are ∠D and ∠CDE.

Hence, the name for the angle shown is  ∠D and ∠CDE.

To learn more on Coordinate Geometry click:

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6-129. Nick represented the equation 3(2x+4)=-6 on the Equation Mat below. Choose a strategy to solve for x. You may continue to use algebra tiles, or you may use symbols on paper.

Answers

Answer:

x = -3

Step-by-step explanation:

You have the following equation:

[tex]3(2x+4)=-6\\[/tex]

you first you distribution property in order to eliminate the parenthesis:

[tex]3*2x+3*4=-6\\\\6x+12=-6[/tex]

next, you subtract 12 in both sides of the equation:

[tex]6x+12-12=-6-12\\\\6x=-18[/tex]

Finally, you divide the equation by 6 and simplify:

[tex]\frac{6x}{6}=-\frac{18}{6}\\\\x=-3[/tex]

hence, the solution to the equation is x = -3

Is a the correct answer ? Or which one

Answers

Answer:

A is correct.

Step-by-step explanation:

Plug the 12 books he bought into the equation. Then, multiply 2.25 and 12, and that's your answer. Hope this helps. Please mark Brainliest! :)

Help me please !!!!!

Answers

Answer:

C =119.32

A =1133.54

Step-by-step explanation:

UR is the radius = 19

Let pi = 3.14

The circumference is

C = 2*pi*r

C = 2 * 3.14 * 19

C =119.32

The area is given by

A = pi r^2

A = 3.14 * (19)^2

A =1133.54

Henry is mixing concrete. To make concrete he needs to mix cement, sand and gravel in the ratio 1 : 4 : 7 by weight. Henry needs to make 180kg of concrete. He has 16kg of cement, 60.5kg of sand and 100kg of gravel. Which ingredient is Henry short of?

Answers

Answer:

Henry is short of gravel

Step-by-step explanation:

Here, we are to identify which of the ingredients Henry is short of.

To identify this ingredient, what is needed to be done is to share the 180kg of concrete appropriately to get which of the material does not meet its ratio and thus allowing us know which is insufficient.

The total ratio is 1 + 4 + 7 = 12

For cement, we have ;

1/12 * 180 = 15 kg

For sand, we have

4/12 * 180 = 60kg

For gravel, we have

7/12 * 180 = 105 kg

From the values in the question, we can see that all the values we have are greater what is shared in the ratio except in the case of gravel. So we can confidently say he is short of gravel

In the parabola y=(x+1)^2+2

Answers

Direction: Opens Up

Vertex: (1,2)

Focus: (1, 9/4)

Axis of Symmetry: x = 1

Directrix: y = 7/4

Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 121212 centimeters. He will make the "X" by stretching the red ribbon diagonally from corner to corner. How many centimeters of ribbon will Peter need to make the "X"?

Answers

Answer:

33.94 cms of ribbon

Step-by-step explanation:

Because you need two diagonals to form the x, therefore the amount  of ribbon needed is the sum of the distance of both diagonals.

When crossing the diagonal, a rectangular angle is formed, where the diagonal would be the hypotenuse, we know that the distance of the hypotenuse can be calculated by means of the legs, which we know its value (12):

d ^ 2 = a ^ 2 + b ^ 2

a = b = 12

d ^ 2 = 12 ^ 2 + 12 ^ 2

d ^ 2 = 288

d = 288 ^ (1/2)

d = 16.97

16.97 cm is what it measures, a diagonal, therefore tape is needed:

16.97 * 2 = 33.94

A total of 33.94 cms of ribbon is needed

Answer:

Answer is 34

Step-by-step explanation: Took the quiz and got it right.

Find the slope and y-intercept of the graph of the linear equation.
12. y= 4x

Answers

Answer:

Slope = 4, y-intercept = (0,0)

Step-by-step explanation:

This problem is written in slope-intercept form. Meaning it is in the form y=mx+b. "M" is the slope, and "B" is the y-intercept. With that information, we easily see that 4 is the slope of the graph (it will go up 4 points for everyone one point it goes right). It seems that there is no y-intercept though, that is because we are expected to know that y=4x is the same as y=4x+0. Meaning, the problem can also be written this way and the y-intercept must be 0.



Carli has 42 tacos to put in 7 boxes. Each box has the same number of tacos. How many tacos are in each box?

Answers

6 tacos are in each box

Donna wants to wrap a shipping box shaped like a rectangular prism. The box is 22 inches tall and has a square base with sides that each measure 5 inches. How much paper will she​ use?

Answers

Answer:

110

Step-by-step explanation:

Use the graph to find the relationship between variable

Answers

Where is the picture at?


Lexi runs a race at school. She runs at a rate of 4 miles per hour for the first mile, then increases her rate to 5 miles per hour until the last mile when she runs 6 miles per hour. Which equation below represents her time, T. In hours, If she runs a total of x miles

Answers

Answer:

60T = 12x - 1

Step-by-step explanation:

In speed distance and time, time(t) is given by

time = distance(d)/speed(s)

total distance ran = x miles

case 1

d = 1 mile

speed = 4 miles per hour

as time = distance(d)/speed(s)

t = 1/4

____________________________

case 2

speed = 5 miles per hour

it is given that out of x miles for first mile and last mile her speed was 5 miles per hour

thus distance for this speed can be calculated by

subtracting first and last mile from x miles

therefore

distance = x-2 miles\

t = (x-2)/5

_____________________________________

case 3

distance = 1 mile

speed = 6 miles per hour

t = 1/6

______________________________

Total time T as required  will be sum of time for the 3 case calculated above

T = 1/4 + (x-2)/5 + 1/6

T = 1/4 + (x - 2)/5 + 1/6   (taking LCM of 6,5,4 as 60 and solving)

T = (15 + 12x - 24 + 10)/60

T = (12x - 1)/60

60T = 12x - 1

Thus, equation 60T = 12x - 1 represents her time T

Can someone please help me? I keep losing points...

CORRECT ANSWERS ONLY PLEASE!!!!

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Round your answer to the nearest dollar.

Answers

Answer:

14,400

Step-by-step explanation:

i=prt

p=40,000

r=0.09 have to turn percent to decimal

t=4

(40,000)(0.09)(4)

Answer:

Well, this is simple.

I=PRT

(Interest= Principle*Rate*Time)

So, simply divide both sides by PR

T=I/PR

Your answer is C: T = I divided by the quantity P times R

(This should have been represented as: T= I/PR)

~Hope this helps

Step-by-step explanation:

Help me with this question please please

Answers

Use sine
Sin(18)=13/x
x = 13/Sin(18)
x = 42.7m

what greatest common factor of 7 and 7

Answers

Answer:

the greatest common factor is 7

Step-by-step explanation:

Greatest common factor of 7 and 7 is 7

What is Greatest common factor ?

The Greatest common factor is highest common factor of the given numbers .

Here the given numbers are 7 , 7. Now the steps to find the Greatest common factor are :

1) write all the factors of the give numbers :

factors of 7 = 7,1

factors of 7 = 7,1

2) write all the common factors of given numbers :

common factors of 7,7 = 1,7

3) The highest factor of all the common factor will be the Greatest common factor :

Highest number from 1,7 is 7

Therefore, greatest common factor of 7 and 7 is 7

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If 99 people have a mean incame of doolar 400, how much is the mean incame increased by the addition of a woman with an incame of doolar 1500​

Answers

The new mean will be (400*99+1500)/100=411
The mean increased by 11.

Answer:

Step-by-step explanation:

Mean income of 99 people = $ 400

Sum of income of 99 people = 400 * 99 = $ 39600

Income of a woman = $ 1500

Income of 100 people = 39600 + 1500 = $41100

Mean of 100 people = 41100/100 = $411

411 - 400 = $11

Mean income increases by $11

Karina bought 8 bagels and used a gift certificate for $4. Her total cost is represented by the expression 8b - 4, where b is the cost of a bagel. What is an equivalent expression?

Answers

Answer:

An equivalent expression = 8b + (-4)

Step-by-step explanation:

In Mathematics, numbers exhibit or are guided by certain properties that they can show.

Some of those of properties are :

a) Commutative property where:

a + b = b + a

b) Associative property

a+( b + c) = (a + b) + c

c) Additive inverse property

a - b = a + ( - b)

For the question above, we are told that the total cost of what Karen bough is represented by the expression 8b - 4. We are asked find the equivalent expression.

An equivalent expression is defined as an expression that has the exact value for all the values obtained from the variable.

Hence, using the Additive inverse property

a - b = a + ( - b)

The equivalent expression for 8b - 4 = 8b + ( -4)

Grocery store polls every 20th custom to determine if they are satisfied with the cleanliness of the store. 40 customers are surveyed and 26 or satisfied. What conclusion can be drawn for the 800 daily customers

Answers

Answer: Of the 800 customers, 520 would be satisfied with the cleanliness of the store

Step-by-step explanation:

Here is the complete question:

A grocery store polls every twentieth customer to determine if they are satisfied with the cleanliness of the store. Forty customers are surveyed and 26 are satisfied. What conclusion can be drawn for the 800 daily customers?

A. 65% of the customers are unsatisfied with the cleanliness of the store.

B. Of the 800 customers, 520 would be satisfied with the cleanliness of the store

C. 40% of the customers are satisfied with the cleanliness of the store

We are informed that out of 40 customers that are surveyed, 26 are satisfied with the cleanliness of the store. This means that (26/40) = 13/20 = 65% are satisfied with the store.

If 800 customers are surveyed, this will mean that: 65% of 800.

= 65/100 × 800

= 65 × 8

= 520 will be satisfied.

Joel has a goal to practice is clarinet for 4 1/2 hours per week the list below shows the number of hours Chihuahuas practice so far this week Monday 1 1/2 hours Wednesday 11

Answers

Complete question:

Joel has a goal to practice his clarinet for 4 1/2 per week. The list below shows the number of hours Joel has a practiced so far for the week. Monday 1 1/2 hours Wednesday 1 1/4 hours Thursday 1 hour How many more hours does he need to practice this week to meet his goal

Answer: 3/4 hours

Step-by-step explanation:

Target hours = 4 1/2 hours = 9/2 hours

Number of hours so far :

(1 1/2 + 1 1/4 + 1) = (3/2 + 5/4 + 1) hours

Total so far :

L. C. M of denominator = 4

(6 + 5 + 4) /4 = 15/4

Number of hours left to meet his target equals :

Target hours - total so far

( 9/2 - 15/4)

L. C. M of denominator = 4

(18 - 15) / 4 = 3/4 hours

.

Carol is standing 8 feet from a lamppost. The angle of elevation from her eyes to the top of the lamppost is 20o, and the angle of depression from her eyes to the bottom of the post is 35o . How tall is the lamppost?

Answers

Answer:

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

Step-by-step explanation:

The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.

Depression triangle

The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,

using tangential ratio

tan 35° = opposite/adjacent

tan 35° = a/8

cross multiply

a = 8 tan 35°

a = 8 × 0.70020753821

a = 5.60166030568

a = 5.602 ft

Elevation triangle

The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.

tan 20° = opposite/adjacent

tan 20° = b/8

cross multiply

b = 8 tan 20°

b = 8 × 0.36397023426

b = 2.91176187413

b = 2.912 ft

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

Gerry wants to construct a triangle with segments that are 4, 6, and 11 inches long. Is his triangle possible? Explain how you know.

Answers

No, because side 11 is greater than the sum of the two other sides.

Answer:

No, this triangle is not possible

Step-by-step explanation:

By the Triangle Inequality Theorem, it should be that:

a + b > c,

a + c > b,        ⇒         a, b, and c are sides of this triangle

b + c > a

~ In this case let us say a = 4 inches, b = 6 inches, and c = 11 inches ~

4 + 6 > 11,

4 + 11 > 6,        ⇒         Here 10 is not greater than 3rd side and thus    

11 + 6 > 4                                        doesn't form a triangle

Mica cut out a triangle for his art project pictured below. What is the area of the triangle?
1
12 in
14 in
-
10.4 in
0 а
20.8 In?
Ob
62.4 in2
124.8 in?
Od
41.6 in2

Answers

Answer:20.8 In^2

Step-by-step explanation:

Base=10.4

Height=4

Area of =(base x height)/2

Area of =(10.4x4)/2

Area of =41.6/2

Area of =20.8

Quadratic Data
Ticket Price (dollars) Profit (Millions of dollars)
200 3.08
250 3.52
300 3.76
350 3.82
400 3.70
450 3.38

Analyze the data represented in the table and select the appropriate model.

A) exponential
B) linear
C) none
D) quadratic

Answers

I think it’s quadratic

Which figure is not drawn to the scale. PQ and MN are straight lines. Find

Answers

Your answer should be y=38

Can anyone help me with this please? Thanks again.
In a picture, a man measures 2.3 cm. His actual height is 1.78 m. He is standing beside a flagpole that measures 7.6 cm in the picture. What is the actual height of the flagpole, to the nearest tenth of a meter?

Answers

Answer:

5.88 meters

Step-by-step explanation:

This is a problem of scale factor which uses the concept of ratio.

scale factor is the ratio of length of actual figure to length of its model.

Example: if an architect is drawing design for a building

if height of building is 100 meter but he is drawing this on paper of 1 meter then scale factor will 100/ 1= 100: 1.

It means that for every 100 meter of length of building, it can be represented by 1 meter of its model.

Thus if a building has length 200 meter then its model will be of 200/100 = 2 meter length.

______________________________________

We will solve the given problem based on use of this concept.

Height of man = 1.78 meter

since in picture unit of measure is in cm, lets convert 1.78 meter to centimetre.

1 meter = 100 cm

1.78 meter  = 100* 1.78 cm = 178 cm

height of man in picture = 2.3 cm

Scale factor = actual Height of man/Height of man in picture

              = 178/2.3 = 77391

_________________________________________

ratio of actual height of flagpole /  height of flagpole = actual Height of man/Height of man in picture

Substituting the value given in problem we have

actual height of flagpole/7.6 =  178/2.3

=>actual height of flagpole =  (178/2.3)* 7.6 = 588.172 cm.

Thus height of pole is 588.172 cm.

In meter, height of pole is 588.172*100 cm

height of pole is 5.88 meters

On Bianca's 5th birthday gift of $100 cash from her dad. Bianca's dad promises to double her money
yearly if Bianca plans to not spend money but instead deposit into "daddy's - super-saving - account".
Will Bianca be able to afford her dream car, a Mini Cooper worth $30,000 when she turns 16? Use words,
numbers, and tables to explain your answer.

Answers

Answer:

Bianca would be able to afford her dream car conveniently when she turns 16.

Step-by-step explanation:

Bianca was 5 years and wish to project her savings for the next 11 years.

On her 5th birthday, she saves $100

Her dad promises to double her money yearly with respect to a condition. So that;

On her 6th birthday, she would save $ 200

On her 7th birthday, she would save $400

On her 8th birthday, she would save $800

On her 9th birthday, she would save $1600

On her 10th birthday, she would save $ 3200

On her 11th birthday, she would save $ 6400

On her 12th birthday, she would save $12800

On her 13th birthday, she would save $25600

On her 14th birthday, she would save $51200

On her 15th birthday, she would save $102400

On her 16th birthday, she would save $204800

When she turns 16, she would have a total sum of $409500.

Therefore, Bianca would be able to afford her dream car conveniently when she turns 16.

What is the value of x in the equation 8 + 4 = 2(x - 1)?
a. 7
b. 5
c. 11/2
d. 13/2​

Answers

Answer:

A. 7

Step-by-step explanation:

We already know that 8+4 = 12, So now we have to find out how to make the equation equal 12.

2×6= 12, we have to find out what x will be in order to make the equation true.

2(7-1) = 2(6) = 12. Substitute the 7 for x.

x = 7

The height of a trapezoid is 4 in. And its area is 48 in 2. One base of a trapezoid is 6 inches longer than the other base. What are the lengths of the bases? Complete the explanation of how you found your answer.

Answers

Answer:

a=9

b=15

Step-by-step explanation:

Well the area formula of a trapezoid is: [tex]\frac{a+b}{2} *h[/tex]

[tex]\frac{a+b}{2} *4=48[/tex]

Divide both sides by 4

[tex]\frac{a+b}{2} =12[/tex]

Multiply both sides by 2

a+b=24

Now since one of the sides (b) is 6 inches longer than a, we get;

a+a+6=24

Subtract 6 from both sides

2a=18

Divide both sides by 2

a=9

b=9+6=15

The work shows finding the sum of the algebraic expressions –3a + 2b and 5a + (–7b).   –3a + 2b + 5a + (–7b)       Step 1:  –3a +5a+ 2b + (–7b) Step 2:  (–3 + 5)a + [2 + (–7)]b Step 3:     2a + (–5b) Which is used in each step to simplify the sum? Step 1: Step 2: Step 3:

Answers

Answer:

Step 1: Commutative property

Step 2: Distributive property

Step 3: Add

Hope this helps you out!

Answer:

look at file for answer

Step-by-step explanation:

What is the perimeter of a cross section perpendicular to face QRST of the cube show below

Answers

Answer:

Please provide an image of what you are talking about. That way we can help you more

Answer:

the answer is 8 units

of the cube shown

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