What is the coefficient of the term x°ys in the
expansion of the binomial expression
(2x - y)8?

Answer:

  (x, y) = (22, 35)

  base angle theorem; angle sum theorem

Step-by-step explanation:

Base angles theorem:

Angles opposite congruent sides are congruent:

  3x -11 = 2x +11

  x = 22

__

Angle sum theorem:

The sum of angles in a triangle is 180°.

  (3x -11)° +(2x +11)° +2y° = 180°

  5x° +2y° = 180°

  2y = 180 -5(22) . . . . . divide by °, subtract 5x, substitute for x

  y = 35 . . . . . . . . . divide by 2

Answer:

60 Is the correct answer

Answer:

114

Step-by-step explanation:

all angles of a triangle add up to 180

180-80-34 = 66

66 is the angle right next to 1

180 degrees will be the product of both of those angles

180-66 = 114

114 degrees

Answer: 207 Remainder 0

Step-by-step explanation:

The sequence 1/2, 7/6, 11/6, 5/2 is an arithmetic sequence

The given sequence is:

[tex]\frac{1}{2}, \frac{7}{6},\frac{11}{6},\frac{5}{2}........[/tex]

A sequence is an arithmetic sequence if it has a common difference d

In the given sequence:

[tex]T_1=\frac{1}{2} , T_2 = \frac{7}{6}, T_3=\frac{11}{6}, T_4=\frac{5}{2}[/tex]

[tex]T_2-T_1=\frac{7}{6}-\frac{1}{2} \\\\T_2-T_1=\frac{2}{3} \\\\T_3-T_2=\frac{11}{6}-\frac{7}{6} \\\\T_3-T_2=\frac{2}{3}[/tex]

Since the sequence has a common difference of 2/3, it is an arithmetic sequence

Learn more on sequence here: https://brainly.com/question/25935727

Answer:

-14

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

y=4x - 2                                  x= -3

y=4(-3) - 2

y= -12 - 2

y= -14

Answer:

B=-9

Step-by-step explanation:

Technically, I didn't solve it. I used an algebra calculator online called m a t h w a y. It helps a lot but if you really need to know how to solve it on pencil and paper I cannot help you.

I had to space out the website so it let me submit this answer btw

Answer: -9

Step-by-step explanation:

2b-3(1+b)=-3(b+7)

2b-3+3b=-3b+-21

5b-3=-3b+-21

-21+3=-18

2b=-18

-18/2=-9

Answer:

maybe you can attach the screenshot of the task?

Answer:

its an exponent of 2

Step-by-step explanation:

2

3. = 3 ×2 or 3+3

Explanation:

The concept of the additive inverse is that we add some number x, with its opposite -x, to get 0. The two items cancel each other out.

[tex]x + (-x) = 0\\ \text{or}\\-x+x = 0[/tex]

In this case, [tex]x = \sqrt{3}[/tex]

Answer:

Step-by-step explanation:

Because CB = 6 cm, we can find CD

Use Triangle CDB.

<BCD = <BCA - <ACD

<BCD = ?

<BCA = 90

<ACD = 60

<BCD = 90 - 60

<BCD = 30

Cos 30 = CD / CB

CD = Cos(30) * BC

CD = 5.196 cm

<A = 90 - ACD

<ACD = 60

<A = 90 - 60

<A = 30

Sin(<A) = CB / AB

AB = CB / sin(<A)

AB = 6 / 0.5

AB = 12

Area =1/2 CD * AB

Area = 1/2 * 5.196 * 12

Area = 31.18

Answer:

f=24km/h

Step-by-step explanation:

Alright, here's what we know.

He travels 2 hours at a fast speed, lets call that speed f km/h

He then travels 3 hours at (f-10) km/h

In these 5 hours, he travels 90km

So we have the formula velocity = distance/time. If you don't know where that formula comes from, let me know and I'll explain.

So we have:

[tex]v=\frac{d}{t}[/tex]

d and t are given to us as 90 and 5 respectively

v is going to be his average speed, so we take 2 times the fast speed plus 3 times the slower speed and divide it by 5. This gives us the average speed he traveled over the 5 hours.

[tex]\frac{2f+3(f-10)}{5} =\frac{90}{5}[/tex]

2f+3f−30=90  by cancelling the 5's in the denominator and expanding 3(f−10)

5f=120

f=24km/h

So his faster speed is 24 km/h. Let me know if this solution did not make sense to you at any point.

Answer:

3.27 x 10^-6

Step-by-step explanation:

Hope this helps

Answer:

Muhammad will be able to make the scarf

Step-by-step explanation:

If he needs 6 feet of yarn and he has got 2 yards witch are 3 feet each multiply 3 feet by 2 and you get 6 yards and then add the 3 inches left, he's got 6 feet 3 inches

Answer:

5/3 ft

Step-by-step explanation:

you multiply 5/12 by 2 which is 5/6 then you divide that by 1/2 which gives you 5/3. 5/3 times 1/2 is 5/6. 5/6 divided by 2 is 5/12.

hope the made sense.

131° is the right answer

Step-by-step explanation:

the supplementary angle to 139° (left of that angle, still under the red l line) is 180 - 139 = 41°.

therefore,

A = 180 - 90 - 41 = 49°.

B is the supplementary angle to A.

B = 180 - 49 = 131°

remember, the sum of all angles around one point on one side of a line is 180° (that is called supplementary angles).

and the sum of all angles in a triangle is always 180° too.

Answer:

59.3ft³

Step-by-step explanation:

The formula for the volume of a cylinder is V= πr²h, where r is radius and h height.

So in our case, we have r= 3ft and h=2.1 ft and π≅3.14

So from the formula for the volume of a cylinder, we get 3.14*3²*2.1 = 59.3 ft³

The volume of the cylinder is about 59.3 ft³

Answer:

see the attachment

I hope it's help you

Let the two numbers be X and Y

Sum of the two numbers = 5

⇛ X+Y = 5-----(1)

Difference of their squares = 5

⇛ X²-Y² = 5

⇛(X+Y)(X-Y) = 5

⇛5(X-Y) = 5

⇛X-Y = 5/5

⇛ X-Y = 1

The difference of the two numbers = 1. Ans.

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Answer:

In no b 7 people has represented □

In no c 2 people referred giraffe than dogs

Answer:

(b)Total 8 complete square in given pictogram represented 64 people.

(c) 6 more people preferred giraffes than dogs.

Answer:

X = 5 3/8 (5 and 3 eighths)

Step-by-step explanation:

4/5x = 5 1/5 - 9/10

4/5x = 43/10

x=43/8

x= 5 3/8

Answer:

Exact Form: x=43/8

Decimal Form: 5.375

Mixed number form: x= 5 and 3/8

Step-by-step explanation: here is the steps

Step-by-step explanation:

2x+3(3x+8)=13 y=3x+8

2x+9x+24=13 y=3(-1)+8

11x+24=13 y= -3+8 =8-3

11x=13-24 y=5

11x/11= -11/11

x= -1

Answer:

The answer is

→ 533.333333333 or 533.33 (Rounded up to the hundredths)

Step-by-step explanation:

Given: How many 3/4 can fit in 400.

Step 1: Indentify what 3/4 equals.

3/4 = 0.75

Step 2: Divide 400 by 0.75

400 / 0.75 = 533.333333333

Step 3: Round up to the hundredths.

533.333333333 → 533.33

Hence, 533.333333333 or 533.33 is your answer.

Answer:

The shape of base of a cubic box is square

Step-by-step explanation:

Here the figure is

Here the base is square

The shape of base of a cubic box is square

Answer:

The base is a square

Step-by-step explanation:

Since this question is very straightforward it is asking us the what it the base or what holds the shape itself. We know that a cube is made up of all squares so we can say the the base is a square.

Answer:

Step-by-step explanation:

ab abahha

Answer:

0.808 you find the difference between the two numbers