PLEASE ANSWER ASAP
expand and simplify the following:
a) (√6+√3)(√6-√3)
b)(√5-√2)(√2+√5)

Answers

Answer 1

Answer:

I've attached the Answer

Step-by-step explanation:

here it is

PLEASE ANSWER ASAPexpand And Simplify The Following:a) (6+3)(6-3) B)(5-2)(2+5)
Answer 2

Answer:

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

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

Step-by-step explanation:

We want to simplify the expression:

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

Notice that this is the difference of two squares pattern. Namely:

[tex]a^2-b^2=(a+b)(a-b)[/tex]

If we let a = √6 and b  =√3, we acquire:

[tex](a+b)(a-b)[/tex]

Expand accordingly:

[tex]=a^2-b^2[/tex]

Back-substitute:

[tex]=(\sqrt{6})^2-(\sqrt{3})^2[/tex]

Simplify:

[tex]=6-3=3[/tex]

For the second expression, we have a similar pattern:

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

We can first rewrite the expression (commutative property):

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

And if we let a = √5 and b = √2:

[tex]=(a-b)(a+b)[/tex]

Expand accordingly:

[tex]=a^2-b^2[/tex]

Back-substitute and simplify:

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


Related Questions

find the slope of the line represented by the data below

slope=

Answers

QUËSTIONS:- find the slope of the line represented by the data

ANSWER:-

[tex]SLOPE = \frac{y2 -y1}{x2 - x1} \\ SLOPE = \frac{3 - 9}{4 - 2} [/tex]

[tex]SLOPE = \frac{ - 6}{2} \\ SLOPE = - 3 \: \: ans[/tex]

Answer:

-3

Step-by-step explanation:

Slope(m)=-6/2

=-3/1

=-3

Hope this helps!

find the volume of the rectangle

Answers

Answer:

3/16

Step-by-step explanation:

simply multiply all 3 numbers

Given that HCF (306,657) = 9, find LCM (306,657)​

Answers

306 = 9 x 34
657 = 9 x 73
LCM(306,657) = 9 x 34 x 73 = 22338

In general the LCM(a, b) = ab / HCF(a, b)

Answer:

The LCM of 306 and 657 is 22338

Step-by-step explanation:

We know that

HCF (a, b) × LCM (a, b) = a × b

⇒ HCF (306, 657) x LCM (306, 657) = 306 × 657

⇒ 9 × LCM = 306 × 657

⇒ LCM (306, 657) = 306 × 657 / 9

                              =  201042 / 9

∴ LCM = 22338

Thus, the LCM of 306 and 657 is 22338.

Which expression is equivalent to 27 Σ 8n? N=0 hurry please my life depends on it

Answers

Given:

The expression is:

[tex]\sum\limits_{n=0}^{27}8n[/tex]

To find:

The expression that is equivalent to the given expression.

Solution:

According to the property of summation:

[tex]\sum\limits_{n=0}^{k}Cn=C\sum\limits_{n=0}^{k}n[/tex]

Where, C is a constant.

We have,

[tex]\sum\limits_{n=0}^{27}8n[/tex]

Using the above mentioned property of summation, we get

[tex]\sum\limits_{n=0}^{27}8n=8\sum\limits_{n=0}^{27}n[/tex]

The expression [tex]8\sum\limits_{n=0}^{27}n[/tex] is equivalent to the given expression.

Therefore, the correct option is C.

Help! these is 1 question this time and these are my last points! so please help this all I have to do today (DUE today) ty take ur time and have a great day luvs<3! (for people who can’t see clearly) ;Kelli has two pitchers of water. The blue pitcher holds 3 liters of water. The red pitcher holds 2,800 millimeters. Which pitcher has the greater liquid volume? How do you know?;

Answers

Answer:

The blue pitcher

Step-by-step explanation:

2,800 ML= 2.8 liters

if p(x) = x^3 + 1 is divided by (x + 2) , then the remainder is
PLS HELP!​

Answers

Answer:

[tex]{ \bf{factor : x + 2}} \\ { \tt{divisor = - 2 }} \\ { \bf{f(x) = {x}^{3} + 1 }} \\ { \bf{f( - 2) = {( - 2)}^{3} + 1}} \\ { \bf{remainder = - 7}}[/tex]

decide which point lies on the line that is parallel to AB and passes through point P

Answers

the answer is B because PG is parallel to AB

Drag the number of solutions to match the equation. Each tile may be used only once. 4(3x+2)=4(2x+3)+4x vacío 10(x+4)–3=14x+1 vacío 12(10x+15)–32=2x+6+3x

Answers

Step-by-step explanation:

The given equation is :

4(3x+2)=4(2x+3)+4x

Solving LHS, = 12x+8

Solving RHS, = 8x+12+4x

So,

12x+8 = 8x+12+4x

12x + 8 = 12x +12

12x cancel out from both sides, the given equation becomes not defined.

If the grain pile has a diameter of 60 feet and a height of 13 feet, what is the volume of the grain pile?


Answers

Answer:

36,738

Step-by-step explanation:

The first step is to calculate the radius

= 60/2

= 30

Therefore the volume can be calculated as follows

= πr^2h

= 3.142 × 30^2 × 13

= 3.14× 900×13

= 36,738 cubit feet

Hence the volume of the grain pile is 36,738 cubic feet

660 g of 3 kg
Express as percentage
please tell how the answer is 22%..
:(

Answers

Answer:

Percent * base = Amount

660 g = 660 g

3kg = 3000g

percent(3000) = 660

percent = 660/3000

percent = .22

.22 = 22%

Step-by-step explanation:

Can someone help me? It's urgent and thank you!

Answers

Answer:

1

------

3(x-2)

Step-by-step explanation:

x+3         4x

------ * --------------

12x       x^2 +x -6

Factor

x+3         4x

------ * --------------

3*4x      (x+3)(x-2)

Cancel like terms

1         1

------ * --------------

3      (1)(x-2)

1

------

3(x-2)

WILL MARK BRAINLIST!!​

Answers

Answer:

24 units

Step-by-step explanation:

Look at the coordinate plane. First start with the bottom side (LN). The line goes from -3 to 9. This means that the line is 12 units long. Now, look at the other sides. MN goes from 3 to 9, therefore, the line is 6 units long. Lastly, look at ML— -3 to 3, therefore, the line is 6 units long. Add them all up, (12+6+6) and it equals 24 units.

24 units

////////////

CAN SOMEONE PLEASE HELP ME REAL QUICK ILL GIVE BRAINLIEST! :P

A cube-shaped box has a volume
of 95 cm. Which equation would
you use to determine the length
of one edge, E, of the box?

Answers

Answer:

v= 4.562902635

v =l*w*h

in a cube all are the  same

V=x^3

v =  [tex]\sqrt[3]{95}[/tex]

v=  [tex](95)^{1/3}[/tex]

Step-by-step explanation:

Find the odd one out, and explain why
26..325..226..49..50
a) 325
b) 226
c) 50
d) 49

Answers

Answer:

B.226

Step-by-step explanation:

I HOPE ITS HELP PO

expression of three power of five rational number with a negative exponent is?
answer with step by step explanation​

Answers

Answer:

[tex]\frac{1}{243}\\[/tex]

Step-by-step explanation:

The expression of three power of five rational number with a negative exponent is;

Please help me solve my problem!!!

Answers

Answer:

The answer is E.

Step-by-step explanation:

A quadrilateral that has only one pair of parallel sides is called a Trapezoid.

Convert to polar form

Answers

Please click on the above picture and view the full answer.

Step-by-step explanation:

Hope it helps you.^_^

At 7am the temperature was -4 degrees. by 3pm the temperature had gone up by 10 degrees. what was the temperature at 3am

Answers

Answer:

6 degrees

Step-by-step explanation:

[tex] - 4 + 10 = 6[/tex]

Answer:

6 degrees

Step-by-step explanation:

what is the answer for x⁵÷x⁸

Answers

answer:

the answer is 40 because any expression divides itself is equals to 1

Step-by-step explanation:

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\frac{1}{x^3}[/tex]

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\x^5\div x^8\\---------\\\rightarrow \text{Rewrite as:} \frac{x^5}{x^8}\\\\\rightarrow \text{Recall the exponent rule: } \frac{x^a}{x^b}=x^{a-b}\\\\\rightarrow \frac{x^5}{x^8} = x^{-3}\\\\\rightarrow \text{Recall the exponent rule: }x^{-b}=\frac{1}{x^b}\\\\\rightarrow x^{-3}\\\\\rightarrow \boxed{\frac{1}{x^3}}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Through (1,0) slope = -1

Answers

Answer:

y = -1x+1

Step-by-step explanation:

The equation for a line in slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -1x+b

Substitute in the point

0 = -1(1) +b

0 = -1+b

1 = b

The equation is

y = -1x+1


Last week, a family ordered dinner through a local food delivery service. The food was $45. They had a coupon for 15% off the total bill.
The bill was $
when the coupon was applied.

Answers

$38.25) you multiple 45 by .15 then subtract the product from 45 and get your answer

Chris had 3/4 of a jug of milk left. He used 2/5 of it to bake a cake how much of the jug of milk did he use in his cake

Answers

Answer:

5 pints of milk

Step-by-step explanation:

took the test

What is the value of x in the diagram?

Answers

Answer:

x = 30

Step-by-step explanation:

here 50 is hypotenuse as it is opposite of 90 degree.

x and x + 10 are the two other smaller sides of a right angled triangle respectively.

using pythagoras theorem,

a^2 + b^2 = c^2

x^2 + (x + 10)^2 = 50^2

x^2 + x^2 + 20x + 100 = 2500

2x^2 + 20x + 100 = 2500

2x^2 + 20x + 100 - 2500 = 0

2x^2 + 20x - 2400 = 0

2(x^2 + 10x - 1200) = 0

x^2 + 10x - 1200 = 0

x^2 + (40 - 30) - 1200 = 0

x^2 + 40x - 30x - 1200 = 0

x(x + 40) - 30(x + 40x) = 0

(x + 40)(x - 30) = 0

either x + 40 = 0          OR x - 30 = 0

x = 0 - 40

x = -40

x - 30 = 0

x = 30

x = -40,30

since the length and distance is not measured in negative ur answer will be 30

credit goes to sreedevi102

thank u very much . At first i was wrong and giannathecookie i m really sorry

Answer:

x = 30

Step-by-step explanation:

Using Pythagoras Theorem:

[tex]x^2 + ( x+ 10)^ 2 = 50^2\\\\x^2 + (x^2 + 100 + 20x ) = 2500\\\\x^2 + x^2 + 20x = 2500 - 100 \\\\2x^2 + 20x = 2400\\\\2x^2 + 20x - 2400 = 0\\\\2(x^2 + 10x - 1200) = 0\\\\x^2 + 10x - 1200 = 0\\\\x^2 + 40x - 30x - 1200 = 0\\\\x(x + 40 ) -30(x + 40) = 0\\\\(x+40)(x - 30) = 0\\\\x = -40, \ x = 30[/tex]

Since x is the measurement of a side, it can't be negative. Therefore x = 30

maths help pls.......​

Answers

Answer: (C) 308 cm^2

Step-by-step explanation: Flat surface area is the surface area that is not curved; in this case, it would be the two circular bases. The height is arbitrary as the height is not needed to calculate the area of the bases. The formula for the area of circular bases is πr^2. Let's plug the given values into the formula. (22/7)(7)^2=(22/7)(49)=154. 154 cm^2 is the area of one base. To find the area of both bases, simply multiply the area of one base by two. 154*2 is 308, therefore the answer is (C) 308 cm^2.

Question 5Multiple Choice Worth 1 points)
(02.03 MC)
Choose the equation that represents the graph
-answer choices
y=x-3
y=-x+3
y=-x-3
y=x+3

Answers

It would be y=x+3 because you have a slope of 1 and a y-intercept at 3

Answer:

i think it would be y=x+3

Step-by-step explanation:

fine the value for the following

11 -12÷4+3 (6-2)

and

0÷21

Answers

Answer:

1. 20

2. 0

Step-by-step explanation:

1. 20

11 -12÷4+3 (6-2)

Brackets first

11-12÷4+3 x 4

Then division and multiplication

11-3+12

Subtraction next

8+12

Now addition

8+12=20

2. Anything divided by 0 is 0


Which answer can be used to find the solution to the system of equations?

Answers

Answer: is b

Step-by-step explanation:

Find the trigonometric ratio. Write your answer as a fraction in the simplest form

Answers

Answer:

sinB = [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{13}[/tex]

The Trigonometric ratios is 12/13

What is Trigonometry?

The branch of mathematics concerned with specific functions of angles and their application to calculations.

We have,

H= 13, B= 5 and P=12

So,

sin B= Perpendicular/ Hypotenuse

        = 12/13

hence, sin B=  12/13

Learn more about trigonometry here:

https://brainly.com/question/14746686

#SPJ2

Jeremy has heard a lot of people in the club talking about tackling a 950-foot rock formation. Jeremy has set a limit that they won’t climb anything that takes longer than 7 hours, so they have enough time to travel to and from the place. Will it be possible to climb a 950-foot rock formation within Jeremy’s time constraint? Explain why or why not.

Answers

You would need to know the rate at which Jeremy climbs to determine your answer.

Answer: no Jeremys time is not constraint

Step-by-step explanation: The amount of minutes to climb up 1 foot of height would take around 2 to 3 minutes, however if you divide 950 with 2 you will get 475 minutes to climb, if we also convert to 475 into hours that will be  7.92 hours . so overall he will climb extra 92 minutes  (i really hope this kinda helped)

A grocer noticed that customers buy both pet and baby supplies with a probability of 0.12. Considered separately, the probability that

customer buys pet supplies is P(A) = 0.64, and the probability that a customer buys baby supplies is P(B) = 0.25.

Move expressions and numbers into the blanks to create an equation that represents the probability that a customer buys either pet

supplies or baby supplies.

Answers

Answer:

0.77

Step-by-step explanation:

Given that:

P(A) = 0.64

P(B) = 0.25

P(AnB) = 0.12

Probability that customer buys either pet or baby supplies ; P(AuB)

P(AuB) = P(A) + p(B) - p(Ann)

P(AuB) = 0.64 + 0.25 - 0.12

P(AuB) = 0.77

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