if a+b+c=0, prove that a^2 - b^2 - c^2 = 2bc

Answers

Answer 1

Step-by-step explanation:

a+b+c=0b+c=(-a) (SQUARING both the sides)(b+c)²=(-a)²(b²+c²+2bc)=a²2bc=a²-b²-c²

HENCE PROVED

-b²-c²=2bc

Answer 2

Step-by-step explanation:

........ ............... .......

If A+b+c=0, Prove That A^2 - B^2 - C^2 = 2bc

Related Questions

HELPPP MEE PLEASEE I NEED HELP RIGHT NOWW !

Answers

Hi there!

Recall the formula for the area of a parallelogram:

A = b × h

b = base (mm)

h = height (mm)

Rearrange the equation to solve for the height:

A = bh

A/b = h

Plug in given values:

26.4/6 = 4.4 mm

Solve the system of equations -6x+5y=0 and −5x+5y=−5 by combining the equations.

Answers

Answer:

Step-by-step explanation:

-6x+5y=0 and −5x+5y=−5

Subtract the second from the first:

-6x+5y=0

5x-5y= 5

-x = 5

x = -5

Solve the system of equations.
2x-y =7
1x-y = 10

Answers

Answer:

(-3, -7)

Step-by-step explanation:

2x - y =  7                 multiply by -1  ⇔     -2x + y = -7

1x - y = 10                Do not change ⇔     1x -  y =  10  

                                                                     -x   = 3

                                                                      x = -3

Use the second equation to solve on y when x = -3

-1x - y = 10

-1(-3) - y = 10

 3 - y = 10

    -y = 10 - 3

    -y  = 7

     y = -7                         Solution:  (-3, -7)

your friend has owned a dog for 9 year this is one year less than as

Answers

you just answered your own question

Which expression are equivalent to 3/5x + 3

2/5x + 1/5x

4/5x - 1/5x + 3

2/5x + 3 3/5x -1

1 + 3/5x + 2

1 +x/5 + 2

1 + 2/5x +3

Answers

Answer:

1 + 3/5x + 2

the first expression = eighteen and 1 + 3/5x + 2 is the only other expression that = eighteen. Hope this helps and good luck!!

Step-by-step explanation:

the answer is 1+3/5x+2

. If there are 20 girls in a class of 30 students, find out the percentage of boys in the class?​

Answers

✍ Question:

If there are 20 girls in a class of 30 students, find out the percentage of boys in the class?​

✍ Answer:

>> If the class has 30 students and 20 girls then;

Boys = (30 - 20 = 10)

>> Therefore;

Percentage that are boys = (no.of boys/total students) x 10010/30 * 100 = 33.3%

#CarryOnLearning

- Happy Holidays -

The percentage of boys in the class is 33.3%

If the class has 30 students and 20 girls then;

Boys = (30 - 20 = 10)

Percentage that are boys = (no.of boys/total students) x 100

10/30 * 100 = 33.3%

What's percent in math?

The percentage is a relative fee indicating the hundredth component of any amount. One percentage (symbolized 1%) is one centesimal part; as a result, 100 percent represents everything and 2 hundred percent specifies twice the given amount. percentage. associated subjects: mathematics percentile.

Multiply the number by means of 100. If you are required to convert a decimal number like 0.57 to a %, you simply multiply it through one hundred. that is 0.57 x 100 = 57. therefore, 0.57 as a percent equals 57%.

Learn more about percentages here: https://brainly.com/question/843074

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What is 3/7 + 4/18 estimated

Answers

Answer:

41/63

Step-by-step explanation:

41/63 can't be simplified

Answer:

3/7+4/18=41/63

Step-by-step explanation:

3/7=3x18/7x18=53/126

4/18=4x7/18x7=28/126

54/126+28)126=54+28/126=82/126

82/126

simplify

41/63

I bad at math :/ plz help​

Answers

Answer:

i think its b

Answer:

B. (x³-10)(x⁶+10x³+100)

Step-by-step explanation:

x⁹-1000

(x³)³-10³

so now always remember

x³-y³=(x-y)(x²+xy+y²)

so for this question x= x³ and y=10

we now have

(x³-10)((x³)²+10x³+10²)

(x³-10)(x⁶+10x³+100)

Given that D, E, and F are the midpoints of their respective sides, and AC = 24, what’s the length of DE¯¯¯¯¯¯¯¯?

An image of a triangle ABC. The midpoint of AB is labeled D, the midpoint of AC is labeled F, and the midpoint of BC is labeled E. Midsegments DE, EF, and FD are drawn. AC is labeled 24.

Question options:

2 units


6 units


12 units


4 units

Answers

Answer:

DE = 12

Step-by-step explanation:

Consider Δ ABC

A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.

D and E are the midpoints of 2 sides of the triangle, then

DE = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 24 = 12

The graph of the function has slope of 1 and y-intercept of -6.​

Answers

Answer:

= -5

Step-by-step explanation:

1-6=5

1-6

{Subtract the numbers:} 1-6=-5

= -5

2. Write an equation of the parabola with vertex (3, 1) and focus
(3, 5)

Answers

Answer:

2. Write an equation of the parabola with vertex (3, 1) and focus

(3, 5o3

PLZ HELP 100 POINTS AND BRAINLIEST PLZ HELP

Answers

Answer:

Step-by-step explanation:

number 6. (1-2+3)  - 4 + 5 = 3

Number 7. (1+2) +( 3+4 ) - 5 = 5

number 8. (1+2+3) - 4(5) = 10

5: (1+2)3 - 4 / 5 = 1

Answer:

5 --- 1 + 2 - 3 - 4 + 5 = 1

6 --- 1 - 2 + 3 - 4 + 5 = 3

7 --- [1 + (2 x 3 x 4)] / 5 = 5

8 --- [1 + 2 + (3 x 4)] - 5 = 10

Step-by-step explanation:

I didn't know if you needed brackets/parenthesis for the first two, that's just what I came up with

Solve the system of linear equations by substitution: (SHOW UR WORK)
y=5x-6
y=4x-2

Answers

Answer:

x = 4

y = 2

Step-by-step explanation:

1) y = 5x - 6

2) y = 4x - 2

sub 1 into 2

5x - 6 = 4x - 2

5x - 4x = 6 - 2

x = 4 ---> (3)

sub 3 into 2

y = (4 * 1) - 2

y = 4 - 2

y = 2

Answer:

4

Step-by-step explanation:

Since they both equal y, they are both equivinlent

[tex]5x-6=4x-2[/tex]

[tex]5x=4x+4[/tex]

[tex]x=4[/tex]

CHECK

[tex]20-6=16-2[/tex]

[tex]14=14[/tex]

Tell whether the ordered pair is a solution to the equation.
x=9;(9,6)

Answers

Answer:

  yes, it is

Step-by-step explanation:

The value of x in the ordered pair (x, y) = (9, 6) is 9. That satisfies the equation ...

  x = 9

Substituting 9 for x, we get a true statement:

  9 = 9

Answer:

Step-by-step explanation:

One student claims that 25% is equivalent to 1/4%. Is that correct? Why or why not?

Answers

Answer:

ya

Step-by-step explanation:

25 percent is equally to 25 over 100 which is 1over4

Suppose you have a box with 3 blue marbles, 2 red marbles, and 4 yellow marbles. You are going to pull out one marble, record its color, remove it from the box and draw another marble. What is the probability of pulling out a red marble followed by a blue marble? The multiplication rule says to use P(red) P(blue).

Question: Describe the process of finding the probability of finding a red marble followed by a blue marble if the first marble was permanently removed?

Answers

Answer:

that is dependent event when you are taking out first marble permanently

Use the parabola tool to graph the quadratic function f(x) = x2 – 12x + 27.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
+ Move
Parabola
Undo
Redo
Rese
10
9
8
7
6
5
D
2
3
2
1

Answers

Answer:

7

Step-by-step explanation:

you would chose 7 because it has more and less value

the function f(x) = log 0.5 is decreasing.

true or false?

Answers

i think it's false,

15 points in 4 quarters

Answers

Is this u asking a question or just saying 15 points in 4 quarters?

Isn’t is 8 pints in 4 quarters because there’s 2 pints in each quarter.

Find the inverse function.

f(x) = -3x +1/2

f-1(x) =


Answers

Answer:

f^-1(x)= -x/3 +1/6

Step-by-step explanation:

So its negative x over 3, plus, 1 over 6

will give brainliest Select the correct locations on the graph.
Select the lines that represent functions.

Answers

The line on -4 to -1 and both the lines on the right side

what is 1 over 5 divided by 6?

Answers

Answer:

[tex] \frac{1}{5} \div 6 = \frac{1}{5} \times \frac{1}{6} = \frac{1}{30} [/tex]

(-3, 5), (-4, 5) what is the slope

Answers

Answer:

0

Step-by-step explanation:

(5-5)/(-4+3) = 0/-1 = 0

I used a calculator

Find the area of a trapezoid h= 4 b1= 1 1/2 b2 = 3 1/2

Answers

Answer:

10

Step-by-step explanation:

if

  a= base 1 (1.5)

  b= base 2 (3.5)

  h= height (4)

[tex]A=\frac{a+b}{2}h=\frac{1.5+3.5}{2} 4[/tex]

Help help help help help math

Answers

Answer:

75

Step-by-step explanation:

A = π r^2

A = Area of the circle which is in this question unknown

r = radius of the circle (which is the length of straight line from the center of the circle to any point on the circumference of the circle) and in this question is equal to 5 in

π = irrational number equal to 3.14159... but here you have told to use it as 3

A = π r^2

*plot the information we have get( r = 5 in and π = 3 ) in the equation above

A = (3)(5)^2

A = (3) (25)

A = 75 in^2

Which table represents a linear function?

Answers

Answer:

First Graph (1-5 2-10)

Step-by-step explanation:

10÷2=5

3÷15=5

4÷20=5

5÷25=5

What is the interest on $600 when it is placed for four years in a bank account that gives 2% simple interest



Answers

Answer:

12, or if its yearly, 48.

Which variable is most important to the following problem?
A tentmaker has 60,000 tents in stock. The Army decides to order 350 tents
for each of its 200 brigades. Will the tentmaker have enough tents in stock?
O A. the price of one tent
O B. the number of tents the Army orders
C. the size of each tent

Answers

Answer:

B.) the number of tents the army orders

Step-by-step explanation:

The word problem does not speak of any prices or tent sizes so it cant be A or C

Answer:

its B

Step-by-step explanation:

IF 15 CHOCOLATE COST 10 RUPEES THEN HOW MUCH DOES 1 CHOCOLATE COSTS.

Answers

Answer:

2/3 Rupees

Step-by-step explanation:

Lets say Chocolate is C and a rupee is R.

Then, 15C = 10R. We can simplify to 3C = 2R. Now we divide both sides by Three to get C = 2/3R, which means a chocolate is 2/3 of a rupee!

Asha bought 60 fruit baskets. 25% of the fruit baskets have 12 pieces of fruit in each basket. The remaining 75% of the baskets have 15 pieces of fruits in each basket. Complete the model. ​

Answers

Answer:

Number of baskets with 12 pieces of fruit: 15

Number of baskets with 15 pieces of fruit: 45

Step-by-step explanation:

25% x 60 = 0.25 x 60 = 15

75% x 60 = 0.75 x 60 = 45

The complete model for the given question is;

Number of fruit baskets that contain 12 fruits = 15 baskets

Number of fruit baskets that contain 15 fruits = 45 baskets

We are told that he bought 60 fruit baskets.

Percentage of the fruit baskets that have 12 pieces of fruit = 25%

Percentage of the fruit baskets that have 15 pieces of fruit = 75%

Thus;

Number of fruit baskets that contain 12 pieces of fruit = 25% × 60 = 15 baskets

Number of fruit baskets that contain 15 pieces of fruit = 75% × 60 = 45 baskets

Read more about percentages at; https://brainly.com/question/11865045

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