Tính :
a) (a+b+c)^2
b) (a-b-c)^2
c) (a+b-c)^2
d) (a-b+c)^2

Answers

Answer 1

Answer:

a.) a² + b² + c ² + 2ab + 2ac + 2bc

b.) a² + b² + c² - 2ab - 2 ac + 2bc

c ) a² + b² + c² + 2ab - 2ac - 2bc

d.) a² + b² + c² - 2ab + 2ac - 2bc

Step-by-step explanation:

Use ( a + b + c )² = a² + b² + c² + 2 × ab + 2 × ac + 2 × bc to expand all these expression

a) ( a + b + c )²

= a² + b² + c² + 2 × ab + 2 × ac + 2 × bc

= a² + b² + c ² + 2ab + 2ac + 2bc

b.) ( a - b - c )

= a² + ( - b )² + ( - c)² + 2a ( -b ) + 2a(-c) + 2(-b)(-c)

= a² + b² + c² - 2ab - 2 ac + 2bc

c.) ( a + b - c )²

= a² + b² + ( -c)² + 2ab + 2a ( - c) + 2 b( -c)

= a² + b² + c² + 2ab - 2ac - 2bc

d.) (a - b + c ) ²

= a² + ( -b)² + c² + 2a(-b) + 2ac + 2c( -b)

= a² + b² + c² - 2ab + 2ac - 2bc


Related Questions

If ABCD is a parallelogram,what is the value of x?
answers
a.) 46
b.) 82
c.) 38
d.) 44
e.) 69
f.) 37

Answers

Answer:

D.44

Step-by-step explanation:

i hope its help for you po

Please help me i need someone to help!

Answers

Answer:

so to do this we basicely just go through and substitute the anser in and see if it works.

60+10=70

60-10=50

NO

50+20=70

50-20=30

RIGHT

so the answer is the second one

how do i solve this
[tex] {x}^{6} [/tex]

Answers

Answer:

You did give anything to solve

Step-by-step explanation:

x⁶ is just a single term

If you had posted an equation like

x⁶ = 64

Take the cube root of both side

x² = 4

Take the square root of both sides

x = ± 2

Help help help help

Answers

It is B hop this helps

Quadrilateral MNOP below is a trapezoid. Use the figure to select the best answer from the choices provided

If HG = 6 and PO = 8, what is the length of MN?

A. 4
B. 7
C. 10
D. 14

Answers

Answer:

A. 4

Step-by-step explanation:

HG = 6,

PO = 8

HG = ½(PO + MN) => Trapezoid Mid-segment Theorem

Plug in the values into the equation

6 = ½(8 + MN)

Multiply both sides by 2

2*6 = 8 + MN

12 = 8 + MN

12 - 8 = 8 + MN - 8 => Subtraction Property of Equality

4 = MN

MN = 4

Answer:

i think it is 4 because it is lowering by 2 from  po-8 to  hg-6. my answer: mn-4

Step-by-step explanation:

Please answer these graph questions for the following! (✿◡‿◡)

a) how far did he go before stopping?
b) which part of the journey is the traveling the fastest a, b, c, or d?
c)what was his speed on the last section of his journey (d)?

Answers

Answer:

60

a

30

Step-by-step explanation:

I uuwuwuueieieieiewiiwiwiwiwiwiwieiwie

What am I doing wrong? I've tried every conceivable answer, I thought I was good at this type of math but this program keeps proving me wrong. Please help.

Answers

Answer:

Step-by-step explanation:

The distance needed to stop a car, d, varies directly as the square of the speed, s, at which it is travelling. A car travelling at a speed of 70 km/h requires a distance of 40 m to make a stop. What distance is required to stop a car travelling at 80 km/h?

Answers

Answer:

52.24 km

Step-by-step explanation:

Given that,

The distance needed to stop a car, d, varies directly as the square of the speed, s, at which it is travelling.

d = ks²

Where

k is constant

When s₁ = 70 km/hr, d₁ = 40 m, s₂ = 80 km/hr, d₂ = ?

So,

[tex]\dfrac{d_1}{d_2}=\dfrac{s_1^2}{s_2^2}\\\\d_2=\dfrac{d_1s_2^2}{s_1^2}\\\\d_2=\dfrac{40\times 80^2}{70^2}\\\\d_2=52.24\ km[/tex]

So, the new distance is 52.24 km.

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Answers

Angle 3 is 128, since they’re vertical angles. Angles 2 & 4 are 52, as 180 minus 128 is 52, and both 2 & 4 are also their own vertical angles.

So,

1 = 128
2 = 52
3 = 128
4 = 52

what is energy efficiency

Answers

Answer:

The goal to reduce the amount of energy used to provide products and services; saving the earth vibes.

find the value of √(6-3√5)​

Answers

Answer:

There is no answer

Step-by-step explanation:

because 3√5=6,7082039232 > 6

So 6-3√5 < 0

But √x always >0

So there is no answer

Calculate the book value of a new maxi taxi costing $44000 after 5 years if it depreciates each year by 13% a. $22,930.52 b. $21,930.52 c. $23,930.52

Answers

Answer:

A=$21930.52

Step-by-step explanation:

Given data

Principal =44000

Time =5years

Rate of depreciation =13%

The expression for the depreciation is

A=P(1-r)^t

Substitute

A=44000(1-0.13)^5

A=44000(0.87)^5

A=44000*0.4984209207

A=21930.52

Saw a board 5 ft 1 in. Long into six equal pieces. If the loss per cut is 1/5 in., how long will each piece be?

Answers

Answer:

The length of each piece is 0.833 ft.

Step-by-step explanation:

Length of board, L = 5 ft 1 inch

loss per cut = 1/5 inch

The board should be cut by 5 times to get the 6 pieces.

The loss in 5 cuts = 5 x 1/5 = 1 inch

So, the length of each piece is

[tex]L' =\frac{5 ft 1 in - 1in }{6}\\\\L' =\frac{5}{6}\\\\L' = 0.833 ft[/tex]

The length of each piece is 9 13/15 inches.

What is the length of each piece?

The first step is to determine the length of the board in inches. In order to do this, feet should be converted to inches.

1 feet = 12 inches

(12 x 5) + 1 = 61 inches

Total losses of the 6 cuts = 1/5 x 6 = 6/5 = 1 1/5 inches

Total length left = 61 inches - 1 1/5 inches = 59 1/5 inches

Length of each board = 59 1/5 ÷ 6

296 / 5 x 1/6 = 296 /30 = 9 26/30 = 9 13/15 inches

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

(а+2)(3а-1)
what’s the product? (i completely didnt pay attention throughout the year)

Answers

3a^2+5a-2. Hihihihihihi

Answer:

3a^2 + 5a - 2

Step-by-step explanation:

(a + 2)(3a - 1)

a(3a - 1) + 2(3a - 1)

3a^2 - a + 6a - 2

subtract like terms

3a^2 + 5a - 2

PLZZ HELP ME ITD MEAN THE WORLD

Answers

Answer: 33/3

Step-by-step explanation:

I don't know the question is weird but it probably is 33/3

contruct triangle LMN with LM=6cm,MM=9cm and LN =5cm ​

Answers

Answer:

LNM are quations the answer

Step-by-step explanation:

L=5x3 5,8 M=9x8x3+40-9 N=23-90)+90

what are the steps to this?

Answers

Answer:

Start at the positive

x

-axis, then rotate left by the desired angle.

Explanation:

Standard position means the first arm of the angle is the positive

x

-axis, and the other arm is placed by rotating counter-clockwise from there, by the amount of the angle.

As a basic example, the symbol

is about a 45° angle in standard position.

To get a feel for where the second arm (called the "terminal arm") will go, remind yourself that the axes themselves meet each other at 90°.

If our angle was 90°, the terminal arm would be on the positive

y

-axis.

If our angle was 180°, it would be on the negative

x

-axis.

Wait! 180° is more than 150°, so our angle is somewhere in quadrant 2. In fact, 150° is 2/3 of the way between 90° and 180°, so our terminal arm will be 2/3 of the way into quadrant 2.

graph{(y+tan(pi/6)x)(y^2-.00001x)=0 [-10, 10, -5, 5]}

(ignore the part of the line in quadrant 4)

Step-by-step explanation:

The midpoint of AB is M(- 2, 1) . If the coordinates of (1, - 2) , what the coordinates of B?

Answers

Answer:

(-5, 4)

Step-by-step explanation:

Finding the X of B

-2 = x2+x1/2

-2 = x2+1/2 (substituted X co-ord of A into x1)

-4=x2+1 (multiplied both sides by 2)

-5=x2 (brought 1 to the other side)

Finding the Y of B

1 = y2+y1/2

1 = y2 - 2/2 (substituted Y co-ord of A into y1)

2 = y2 -2 (multiplied both sides by 2)

4 = y2 (brought 2 to the other side)

Please answer 8,9, and 10!!

Answers

Answer:

260,

43.73,

34.28

Step-by-step explanation:

8. Triangle's base is 10, height 4.

10 * 4 = 40

40/2 = 20

24 * 10 = 240

240 + 20

= 260

9. Radius 3.

πr²

12 * 6 = 72

72 - 9π

≈43.73

10. Semicircle has a radius of 2.

2²π

4π/2 = 2π

≈6.28

6.28 + 28 = 34.28

≈34.28

8. It has Triangle embedded to a Rectangle

Area of Figure =Area of Triangle + Area of Rectangle

Area of Triangle = ½ base x height

= ½ x 10 x 8 =40

Area of Rectangle= 24 x 10 =240

TOTAL AREA OF FIGURE = 240 + 40 = 280

9.

Its a rectangle with a Circle in the Middle

Area of Shaded Region would be

Area of Rectangle – Area of circle

Area of Rectangle = 12 x 6 =72

Area of Circle = πr² = π x 3² = 28.27

AREA OF SHADED REGION= 72 - 28.27

=43.73in².

10.

The shape contains a semicircle on a rectangle

Area of the shape = Total Surface Area of semicircle + Area of a Rectangle

Total Surface Area of a semi circle=2πr²

Diameter was given = 4cm

Radius = Diameter/2 = 4/2 = 2cm

= 2 x π x 2² = 25.13cm²

Area of rectangular part = 4 x 7 =28cm²

AREA OF FIGURE = 25.13 + 28 =53.13cm².

Pls notify me if there are any Mistakes.

Have a great day!

Please help me out for the question is it

A.275 centimeters

B.94 centimeters

C.144 centimeters

D.85 centimeters

You’ll be marked as brainliest

Answers

I think c because from what remember taking this test

Mark 4/9 and -7/9 on a number line.​

Answers

where’s the mf number line

Answer:

Step-by-step explanation:

4/9 on the number line would be 0.44.

-7/9 on the number line would be -0.77

Question 3 of 10
of the way from
What is the location of the point on the number line that is
A = 5 to B = 23?
O
A. 8
B. 9
C. 10
D. 7

Answers

Answer:

B. 9

Step-by-step explanation:

solve it and u will find out

Help me thanks bsbsbs

Answers

Answer:

4.56, 4,65, 5,46, 5.64, 6.45 and 6.54

Step-by-step explanation:

start with the whole number and find the smallest one!

It would be 4 then find the number with the smallest amount

Keep doing this to all of the numbers

Find the area of the circle if the square has an area of 900in^2. Give your answer in terms of 3.14 or pi

Answers

Answer:

450in^2

Step-by-step explanation:

square root of 900 is 30.

Each side of square is 30.

Each side of a triangle formed by drawing a radi in the square is 15 in.

The hypotenuse is 15[tex]\sqrt{2}[/tex] that is also the radius of the circle.

A= (15[tex]\sqrt{2}[/tex])^2 times pi = 450 in^2

A new bank customer with ​$3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.8​%. How much interest will the customer earn in 10 years? b. What will the account balance be after 10 years?

Answers

Answer: See explanation

Step-by-step explanation:

The Simple Interest will be calculated as:

= P × R × T

= $3000 × 1.8% × 10.

= $3000 × 0.018 × 10

= $540

The interest that the customer earn in 10 years is $540.

Then, the account balance after 10 years will be:

= Principal + Interest

= $3000 + $540

= $3540

Therefore, the account balance will be $3540

Two friends Vicky and Love start a business together. They decided to share their capitals depending upon the variable

expenditure. The capital of the two

partners together is given by polynomial 6x+10x -35, which is the product of

their individual share factors.

On the basis of the above information,

answer the following questions.

i) The total expenditure of Vicky and Love

when x = 10 is (in )

(a) 375 (b) 475

(c) 575 (d) 675

(ii) The shares of the Vicky and Love

individually is

(a) 2x +7, 3x -

5

(b) 3x -5, 2x +7

(c) Both (a) and (b)

(d) None of the above

(iii) The value of x, when their shares are

equal

(a) 12 (b) 10

(c) 8 (d) 6

(iv) The value of x, when their total share is

equal tob0

7

(a)- (b) 3

(c) Both (a) and (b) (d) None of these

(v) The sum of their expenditure is

(a) 5r -2 (b)5x+2 (c) 4x-2 (d) 4x+2​

Answers

I'm pretty sure it's b but if I'm wrong sorry

holaaandaaa cuanto es 22+22

Answers

Step-by-step explanation:

22+22=44

Es una pregunta fácil, incluso un niño pequeño puede responder a esto.

3
If x=
)
X Х
find the value of x-2
3
2.​

Answers

Step-by-step explanation:

Answer

Open in answr app

Correct option is

B

±2

x=3+22   x1=3+221×3−223−22

=3−22

(x−21)2=x+x1−2

=3+22+3−22−2=4

So, x−x1=4=±2 Ans 

Question 9 of 10
Which polynomial represents the difference below?
(8x2 +9) - (3x2 + 2x + 5)

Answers

Step-by-step explanation:

= (8x² + 9) - (3x² + 2x + 5)

= 8x² + 9 - 3x² - 2x - 5

= 5x² - 2x + 4

someone help!!!!!!!!

Answers

Answer:

Top right

Step-by-step explanation:

First, we have "h is increasing on the interval (3, +∞)." This means that h must be increasing for all values 3 and higher. This is shown on the top left, top right, and bottom right graphs because when x goes up on each of them, the function increases as well. However, for the bottom left graph, this is not shown because as x goes from 3 to 4, the function decreases.

Next, the statement given is "h(4)=2". This means that when the x value is 4, the y value is equal to 2. This is true for the top left and top right pictures. However, for the bottom right, as the x value is 4 on the x axis, the corresponding y value is 1, not 2.

This leaves us with the top left and top right. The final characteristic given is "The domain of h is [3, +∞). This means that the x values of said function only go from 3 to infinity. As the top left graph has values of x below 3, this leaves the top right graph as h

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