Use Pascal's triangle to find the coefficient of the third term in the expansion of (a + b)2.
Question 10 options:

A)

3

B)

1

C)

4

D)

2

Answers

Answer 1

Answer:

B

Step-by-step explanation:

(a+b)^2

using Pascal triangle

1 1

1 2 1

1 3 3 1

so the third term in the expansion of (a+b)^2

we use

1 2 1

a^2 + 2ab+b

hence the coefficient of third term is 1

option B is collect


Related Questions

According to the table, how many students in the seventh grade bike to school?

Answers

Answer:

The anwser is B.) 49

Step-by-step explanation:

If you subtract 79 (the amount of 7th graders riding the bus) from 128 (the total number of 7th graders) you will get 49. Therefore 49 is the answer.

Hope this helps!!

Answer:

yeh its b

Step-by-step explanation:

because the first persons answer was right and well i want the points.

solve this equation 3x + 5 = 7x – 7

Answers

Add 7 to both sides
3x + 12 = 7x
Subtract 3x
12 = 4x
Divide by 4
x = 3

Answer:

3

To find:

x

Step-by-step explanation:

3x + 5 = 7x – 7

3x - 7x = -7 - 5

-4x = -12

x = -12/-4

x = 3

hope it helps u!

Help Please! Solve For Y.

Answers

Answer:

i think 7

Step-by-step explanation:

Find the value of x

is this correct?​

Answers

Answer:

Yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

3(x+2) = 24 (because it’s an isosceles so both sides are equal)

x+2 = 24/3

x +2 = 8

x = 8-2

x = 6

Sarah is making shortbread biscuits. She has: 600g of butter 300g of caster sugar 1kg of plain Klour 500g of cornKlour She has found this list of ingredients for making 8 shortbread biscuits Sarah wants to make as many shortbread biscuits as possible. Work out how many shortbread biscuits Sarah can make.

Answers

Answer and explanation:

We are told that Sarah has 600g of butter, 300g of caster sugar, 1kg of plain flour, and 500g of cornflour

We are also told that she found this list of ingredients for making 8 shortbread biscuits. The question isn't clear on whether the ingredients listed above are for the 8 shortbreads, or ingredients for 8 shortbreads were omitted.

We are told Sarah wishes to make as many shortbreads as possible.

To work out how many shortbreads Sarah can make, we need to know the ingredients required for one shortbread(or a number of shortbreads) and ingredients Sarah currently has. The question lists Sarah's ingredients and the number of shortbreads(8) that can be made with them, but doesn't go further than this. Therefore we can conclude that Sarah can only make 8 shortbreads given the amount of ingredients in her possession.

IF YOU ACTUALLY HELP I WILL GIVE BRAINLY!!

Answers

Answer:

B: (2, -1)

Step-by-step explanation:

Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7? Use either the remainder theorem or the factor theorem to explain your reasoning. This is worth 100 points. Will mark brainliest. Whatever you want. Please answer this.

Answers

Answer:

(x + 5) is not a factor of, [tex] f(x) = x^ 3 − 4x^2 + 3x + 7 [/tex]

Step-by-step explanation:

[tex] f(x) = x^ 3 − 4x^2 + 3x + 7 \\ \\ let \: x + 5 = 0 \\ \implies \: x = - 5 \\ \\ plug \: x = - 5 \: in \: f(x) \\ \\ f( - 5) = ( - 5)^ 3 − 4( - 5)^2 + 3( - 5) + 7 \\ \\ f( - 5) = - 125 − 4(25) - 3( 5) + 7 \\ \\ f( - 5) = - 125 − 100 - 15 + 7 \\ \\ f( - 5) =7 - 240 \\ \\ f( - 5) = - 233 \\ \\ \because \: f( - 5) \neq 0 \\ \implies \: remainder\: is\: not\: zero\\ \therefore \: (x + 5) \: is \: not \: a \: factor \: of \: \\ f(x) = x^ 3 − 4x^2 + 3x + 7 \\ [/tex]

I’m gonna use the remainder theorem so if a polynomial p(x) is divided by x-a the remainder obtained is p(a) therefore

X= -5

Then just plug in -5 in the function and if the result is 0 then is a factor

(-5)^3 - 4(-5)^2 + 3(-5) + 7 = -233

Therefore x+5 is not a factor

ASAP PLEASE HELP ME

Answers

Answer:

6 would be opposite

Step-by-step explanation:

A triangle on a coordinate plane is translated according to the rule T-3, s(x, y). Which is another way to write this rule?
O K.y) - «-3, y + 5)
O (.y)- -3.y- 5)
O (x.y)- (x+ 3, y-5)
O «.y) - («+3, y + 5)

Answers

Answer:

The rule indicates that the original (x, y) coordinates will be moved to the left by 3 units and up by 5 units.

Thus,

(x, y) ⇒ (x – 3, y + 5)

Step-by-step explanation:

Given the rule T–3, 5(x, y)

The rule indicates that the original (x, y) coordinates will be moved to the left by 3 units and up by 5 units.

It means we need to subtract 3 units from the x-coordinate and add 5 units in the y-coordinate.

Thus, if a triangle on a coordinate plane is translated according to the

rule T-3, s(x, y), then another way to write this rule will be:

(x, y) ⇒ (x – 3, y + 5)

A line is perpendicular to the line given by the equation - 8 = 2y + 3x. What is the slope of the perpendicular line? 3​

Answers

Answer:

2/3 is the slope of the perpendicular line

Step-by-step explanation:

1) put into slope-intercept form (y=mx+b)

-8=2y+3x

-2y=3x+8

y=-3/2x-4

2) the line is perpendicular so the slope will be opposite and the reciprical of the original slope.

so, because the original was -3/2, the new one is 2/3

Simplify 7 + (−3). (1 point)

Question 5 options:

Answers

Positive four. Is the answe.

Answer:

4

Step-by-step explanation:

7+ (-3)= 4 lol not sure if thats what you wanted but thats what i understood from your question

The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of the original equilateral is decreased by 20%, resulting in triangle DEF, how much greater is the area of triangle ABC than the area of triangle DEF?

Answers

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

[tex]A=\frac{\sqrt{3} }{4} a^{2}[/tex]

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

[tex]A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}[/tex]

[tex]A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}[/tex]

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

[tex]A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}[/tex]

[tex]A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}[/tex]

Now, comparing areas:

[tex]\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )[/tex]

[tex]\frac{A_{1}}{A_{2}} =[/tex] 2.25

The area of ΔABC is 2.25x greater than the area of ΔDEF.

Find the value of x and y​

Answers

Answer:

Step-by-step explanation:

(your value for y is correct)

this is an equilateral triangle so the right triangle’s hypotenuse is 40

to find x we need to use sin (which equals opposite of the angle over hypotenuse)

so

sin(x) = 20/40

sin(x) = 1/2

sin inverse(1/2) = x

x = 30°

X= 30 :) there you go

Which expression is equivalent to (8x – 20) + (-4x + 12)?

A. 12x + 8


B. 4x – 8


C. – 4x – 8


D. – 4x

Answers

Answer:

B. 4x-8

Step-by-step explanation:

I need help with this​

Answers

Answer:

24.3470022334

Step-by-step explanation:

I hope this helps. It really isn’t too hard. All you need to do is find the multiples of 24

PLEASE HELP ME WITH THIS!!

Answers

the first 2 are a function and the last 2 are not

3
There are 900 students in a school.
47% of the 900 students are girls.
Work out the number of girls in the school.

Answers

900 x .47 = 423 girls
The answer is 423

Because 900 divided by 100 is 9 and 9 times 47 is 423

what are you doing for math

Answers

algebra.............

This is not an academic question and cannot be answered by Brainly contributors. Happy holidays!

on his shelves trenton has 15 biogrophies,15 science fiction books,7 refrence books,and 11 mystery books. find the ratio of biographies to the total number of books

Answers

the ratio of books is 15:48

HELP PLEASE 100 points IM BEING TIMED ILL EVEN GIVE A CROWN THING
Which rule describes the composition of transformations that maps ΔABC to ΔA"B"C"?

A.) 90 degree rotation about point 0 composition reflection across the x-axis
B.) Reflection across the x-axis composition 90 degree rotation about point 0
C.) 180 degree rotation about point 0 composition reflection across the x-axis
D.) Reflection across the x-axis composition 180 degree rotation about point 0

Answers

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The guy above me was correct. I got a 99% on my test.

PLEASE HELP!!!

Karl filled up the tank of his truck with 400 liters of fuel and set out to deliver a shipment of bananas to Alaska. The truck consumed 0.8 liters of fuel for each kilometer driven.
Graph the relationship between the amount of fuel remaining in the truck's tank (in liters) and distance driven (in kilometers).

Answers

Answer:

you have it almost good. all you have to do is move the dot from (500,80) to (500,0) because by 500 kilometres all 400 liters of fuel has been used.

500*.8=400

Answer:

Step-by-step explanation:

This is the right answer

I screenshot the picture and it shows i got it right

math!
POINTS
TODAY
POINTS
THIS WEEK
Hwk #28: DistRateTime
GAME
CREDITS
V. Whitehea
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First try was incorrect
Rosa travels 20 miles per hour. How long does it take her to travel 2
miles? Your answer should be in hours, rounded to the nearest tenth.
label required
Х
x² f(x) qx x

(x) x < > TI"

Answers

Answer:

it takes her 1/10 of an hour

Step-by-step explanation:

math

You spend 3 hours every day practicing the piano. What fraction of the day do you spend practicing the piano? Give your answer in simplest form.

Answers

Answer:

1/8th

Step-by-step explanation:

since there are 24 hours in a day

Answer: 1/8

Step-by-step explanation:

a day is 24 hours long. If you spend 3 hours out of 24 hours a day to practice piano it would be 3/24. Then to get it in simpilest  form, you divide 3 by 3 and 24 by 3 which would get you the answer 1/8.

Hope i helped have a good rest of your day!!

PLS ANSWER IM DLING MIDTERM RN
Given that triangle GHI is congruent to triangle NOP which of the following statements is FALSE?
GI = NP
Angle G = angle N
O=H
GH = PO

Answers

GH=po

That is answer

Yay

PLS GIVE THE ANSWER!!!!!! ALSO ITS NOT A NUMBER IS IT C OR A

Answers

Answer:

I am confused there no picture so go with your gut man

Step-by-step explanation:

an elevator began at an elevation of 85.5 feet and ascended at a rate of 2.75 feet per second. what was the elevation of the elevator after 8 seconds?

Answers

Answer:

107.5

Step-by-step explanation:

8 × 2.75ft = 22ft

22ft + 85.5ft = 107.5ft

Answer:

107.1

Step-by-step explanation:

the elevator is at 85.5 feet.

if the ascending (going up) rate is 2.75 and you want to know how far in 8 seconds, it's an easy process.

1. find the direction your going (up or down)

2. how far? (what rate for this one)

3. multiply said problem (2.75 x 8)

4. get your answer (21.6 ft per 8 seconds)

5. add or subtract to the height you are at now (85.5 ft)

6. you now have your answer! (107.1 ft in the air)

Need help please thank you

Answers

Answer:

3

Step-by-step explanation:

RS + ST will equal RT.

So, 2 + 3x must equal 5x.

2+3x = 5x

2 = 2x

x = 1

ST = 3x

ST = 3*(1)

ST = 3

I grew with the other comment have a great day whoever sees this!! :)))

4x4 - 6x3 +6x-7
-2x2 + 3
what is the quotient

Answers

Answer:

12x

Step-by-step explanation:

Not a quotient because its not division.

this is it help pls.

Answers

Answer:

1/5

Step-by-step explanation:

Hope this helps!

1) 15 = 2W - 5
2) 24 = 2x - 9

Answers

9514 1404 393

Answer:

  1) W = 10

  2) x = 33/2

Step-by-step explanation:

These are 2-step linear equations. Step 1: Add the opposite of the constant on the right. Step 2: Divide by the coefficient of the variable.

__

1) 15 = 2W -5

  20 = 2W . . . . . add +5

  10 = W . . . . . . . divide by 2

__

2) 24 = 2x -9

  33 = 2x . . . . . add +9

  33/2 = x . . . . divide by 2

_____

As always, whatever you do to one side of the equation must also be done to the other side. That is, the same number is added to both sides; both sides are divided by the same number.

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