Mathematics High School

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

a²-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

help asap please ill give brainliest

Answers

it’s b because it has more marbles

Gabrielle's age is two times Mikhail's age. The sum of their ages is 54. What is Mikhail's age?

Answers

Mikhail is 18 years old.

Gabrielle is 36 years old.

18 * 2 = 36
and
18 + 36 = 54

Please help!!! No links!!! Solve the system of equations below by graphing both equations with pencil and paper! What is the solution?? Use the photo below!!!

Answers

Answer is D 4,3 !!!!!!!!!!!!!!!

Pam and Erin are both planting gardens for their backyards. They want their gardens to be proportional. If pams garden has a length of 16 feet and a width of 12 feet, what length does Erin need if the width of her garden is 21 feet?

Answers

Step-by-step explanation:

Pam and Erin want the gardens to be proportional.

proprtional- equal

Pams garden has a length of 16 and width of 12. To find the area of Pam's garden multiply the length by the width.

16×12= 192

Now that we know the area of Pam's garden, we can set up and equation for Erin's garden. Since they have to be equal we know that Erin's garden should equal 192. Thus we solve for the length by dividing the width from the total.

192÷21=9.14

Pick the correct answer choice! Please.

Osmosis is when:


A) Water molecules move from a low concentration, to a low concentration, with the assistance of travel proteins.


B) Salt molecules move from a high concentration, to a low concentration, with the assistance of travel proteins.


C) Water molecules move from a high concentration, to a low concentration, with the assistance of travel proteins.


D) Salt molecules move from a low concentration, to a low concentration, with the assistance of travel proteins.

Answers

Answer:

C

Step-by-step explanation:

Osmosis: In osmosis, water always moves from an area of higher water concentration to one of lower concentration. In the diagram shown, the solute cannot pass through the selectively permeable membrane, but the water can.  Water has a concentration gradient in this system.

HOPE THAT HELPS YOU PLS MARK ME BRINILYS

Answer:

A hey the answer because osmosis means small when molecules when molecules from a hydrophenation with the help of travel proteins most are low concentration

The number m of miles a long-distance cyclist travels during today's ride can be modeled by the function m(t)=11t+55, where t represents the number of hours since a noon rest stop.
b. Interpret the slope and y-intercept
c. The cyclist can only ride until 6:00 PM. Identify the domain and range of the function.

Answers

Step-by-step explanation:

m(t) = 11t + 55

the slope is always the factor of the variable, so here the slope is 11.

since t is the number of hours riding (after the noon rest stop), the slope (11) is actually the mean speed the rider is going (after the noon rest stop) : with every hour riding the cyclist goes another 11 miles, so this speed is 11 mph.

the y-intercept is the m value when t = 0, because here in our example y (the result variable) is renamed m.

it is here 55.

t = 0 means no time riding yet, so 55 is the "starting value" of the function. that means that the cyclist traveled already 55 miles earlier that day before the noon rest stop.

the cyclist can only ride until 6pm. but we don't know how long the noon rest stop is (i.e. when he continues riding after the rest stop).

so I need to make some assumptions :

the mean speed (11 mph) after lunch break, and the y-intercept (55) suggest to me that the cyclist was riding 5 hours before the stop (5×11 = 55), and will also ride 5 hours after the stop (= from 1pm to 6pm).

if this is wrong, and the cyclist starts at e.g. 12pm, then please just adjust the following numbers accordingly.

but here again, I am assuming the cyclist will go from 1pm to 6pm (for 5 hours).

the domain is the interval or set of all valid values of the input variable (here t) : all real numbers in [0 .. 5].

the "timer" starts at 0 right at the end of the noon test stop. and then the cyclist can go max. 5 hours. and I assume any part of an hour is valid, so we use real numbers instead of e.g. whole numbers.

the range is the interval or set of all valid values of the result variable (here m) : all real numbers in [55 .. 110].

for t = 0 we have m = 55. and this goes continuously up with t until t = 5, leading to 11×5 + 55 = 55+55 = 110.

In your own words, describe how to find the GCF for a set of numbers. Use the numbers 24 and 32 as an example. (PLS HELP ILL GIVE 50 points and brainlest also no links please, thanks)

Answers

Answer:

8

Step-by-step explanation:

We can find GCF by prime factorising

24 = 2³ × 3

32 = 2⁵

Common factor = 2³ = 8

Hence,

GCF of 24 and 32 is 8.

Hope it helps

What equation can be written for this graph?
Pls help!!!

Answers

Answer:

y = 25x

Step-by-step explanation:

This is a straight line, so the formula is:

y = ax + b

a is the slope and b is the y-intercept.

Slope formula:

a = (y2 - y1)/(x2 - x1)

Select two random points from the line:

Point 1: x=2 and y=50Point 2: x=4 and y=100

Slope a = (100 - 50)/(4 - 2) = 50/2 = 25

=> y = 25x + b

Use one of the points to find b:

50 = 25*2 + b

=> b= 0

So the equation is y=25x

From this pie chart answer the following:

(i) If 20 people liked classical music, how many young people were surveyed?
(ii) Which type of music is liked by the maximum number of people?

Answers

200 people were surveyed.light music

function g is represented by th table.
x -1 0 1 2 3
g(x) 15 3 0 -¾ -15/16

Which statement correctly compares the two functions?
А.They have the same x- and y-intercepts.

B.They have different x- and y-intercepts but the same end behavior as x approaches infinity.

C.They have the same y-intercept and the same end behavior as x approaches infinity.

D.They have the same x-intercept but different end behavior as x approaches infinity​

Answers

Answer:

  D.  They have the same x-intercept but different end behavior as x approaches infinity​

Step-by-step explanation:

A careful comparison reveals the g(x) values in the table are 1/2 the y-values in the graph. The x-intercepts are the same, but the y-intercepts and end behavior are different.

Jada types 120 words per minute how many words does jada type in 1.5 minutes

Answers

Answer:

180

Step-by-step explanation:

The box of cereal used to contain 16 ounces of cereal. The box now holds 12 ounces of cereal what is the percent decrease?

Answers

25% decrease
Hope this helps!

Area codes are the first three digits of a 10-digit telephone number. The first digit of an area code cannot be 0 or 1.

a. How many area codes can be created if digits are allowed to be repeated?

b. How many area codes can be created if digits are not allowed to be repeated?

Answers

Answer:A

Step-by-step explanation:because the numbers can be allowed to be repeated

solve the algebraic equation below
(9x2x2+6x+5)+(3x2-5x-9)

Answers

Answer:

x+38

Step-by-step explanation:

ok so try to understand my explaination!

it goes by simplifying one by one :)

(18*2+6x+5)+(3*2-5x-9)

(41+6x)+(-3-5x)

41+6x-3-5x

41-3=38

6x-5x=(1)x

x+38

try to understand, im not amazing at explaining :)

1 3/8+3 1/3 please
Answer

Answers

Answer:

4 17/24

Step-by-step explanation:

3/8=9/24

1/3=8/24

8+9=17

sorry first know it had to be a fraction so I'm pretty sure this is what you are looking for 113/24.

Step-by-step explanation:

this is the right answer please mark me as Brainliest

hope this helps

Teresa will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $59 and costs an additional $0.08 per mile driven, The second plan has an initial fee of $48 and costs an additional $0.10 per mile driven. For what amount of driving do the two plans cost the same? Omiles What is the cost when the two plans cost the same? $0​

Answers

Answer:

1. 550 miles

2. $103

Step-by-step explanation:

y = total rental cost

m = initial fee

x = cost per mile

n = number of miles

Plan 1: y = m + xn = 59 + 0.08n

Plan 2: y = m +xn = 48 + 0.10n

Q1. if total cost is the same : 59 + 0.08n = 48 + 0.10n >>> 0.02n = 11 >>> n = 550

Q2. y = m + xn = 59 + 0.08n = 59 + 0.08(550) = 103

Kelly had one liter of soda she divided equally into 10 classes to share with her friends how much total did each friend get.: 1 Deciliter, 1 centiliter, or 1 milliliter???​

Answers

Answer:

1 decilitre  

Step-by-step explanation:

You can look up charts for these. Look up litre chart

What is the equation of the line that passes
through the points (3,-1) and (7, 3)?

Answers

Answer: y = 1x + -4

Equation of a straight line:

y = mx + b ------(i)

Step by Step Solution:

Step 1: Calculating Slope (m).

m = y2-y1 /x2-x1

m = 3--1 /7-3

m = 4/4

m = 1

Now putting value of m in equation (i)

y = 1x + b -----(ii)

Step 2: Calculating Y-intercept (b).

Lets choose the first point, (3,-1) for calculating y-intercept:

y = mx + b

-1 = 1(3) + b

-1 = 3 + b

-4 = b

b = -4

Now putting value of b in equation (ii)

y = 1x + -4

Percentage of words starting with T

Answers

Do what the hint says lol

May I please receive help?

Answers

Answer:

(32)2

1024

(28) 2

784

1024-784= 240

I think nearest 10 can 256 or 225 then find square

5 more than 3
meaning what number ?

Answers

Answer:

8

Step-by-step explanation:

5+3=8

3 plus 5 more makes 8

Answer is 8

Explanation:
5+3=8
And the other way around

Byron opened a new bank account and immediately started depositing d dollars per week. He also withdrew w dollars per week to pay expenses. The total amount of money in the account, M, after n weeks is represented by the equation M = nd - nw . Which of the following is a factor of M?

A d - w

B n - w

d - n

D n - c

Answers

Answer: b i just took the test

Step-by-step explanation:

Option A is correct,  d - w is a factor of M whose equation is M=nd-nw.

What is Number system?

A number system is defined as a system of writing to express numbers.

Given that Byron opened a new bank account and immediately started depositing d dollars per week.

Byron also withdrew w dollars per week to pay expenses.

Byron also withdrew w dollars per week to pay expenses.

The total amount of money in the account, M, after n weeks is represented by the equation M = nd - nw .

M equal to n times of d minus n times of w.

We can factor out the common factor of n from the expression for M

M = nd - nw = n(d - w)

Therefore, n is a factor of M.

Hence, option A is correct,  d - w is a factor of M whose equation is M=nd-nw.

To learn more on Number system click:

https://brainly.com/question/21751836

#SPJ2

Luke cut down a tree that was 27.6 feet tall. Then he cut the tree into 6 equal pieces to take it away. What is the length of each piece?​

Answers

Answer:

4.6 feet (explanation of division)

Answer:

The length of each piece is 4.6 feet

Step-by-step explanation:

PROVE: BD is congruent to BE. Provide steps and reasons.

Answers

Answer:

It is congruent

Step-by-step explanation:

Because AB and BC are congruent, having DE bisect them

directly in the middle creates equal lines of BD and BE.

in 2020 the attendance at kennedy school's spring festival was 210. in 2021 the attendance was 168. What was tge percent change in the attendance from 2020 to 2022 tound to nearest whole percent

Answers

Step-by-step explanation:

Total change in number of student = (210 - 168)

=> 42

% change = Change/Original no. of students × 100

=> 42/210 × 100

=> 42/21 × 10

=> 20%

Which of the following rational functions is graphed below?

Answers

Considering the asymptotes, the rational function given below is the following:

B. [tex]f(x) = \frac{1}{x(x + 2)}[/tex]

What are the asymptotes of a function f(x)?

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

From the graph, the vertical asymptotes are x = 0 and x = -2, hence the denominator is given by:

x(x + 2).

The function has no x-intercepts, hence the numerator is of 1. So the function is given by:

B. [tex]f(x) = \frac{1}{x(x + 2)}[/tex]

More can be learned about asymptotes at https://brainly.com/question/16948935

#SPJ1

45
23
​
+(−
45
23
​
)

Answers

4523 + (-4523)

4523 - 4523

0

What is the unit rate of scoops of high-protein food to scoops of high-fiber food if the food is made up of 80% high-fiber chimp food to 20% high-
protein food?
(answer in fraction)

Answers

Answer:

10. 31.14

10/31+14

Step-by-step explanation:

Domain and Range of {(0,2), (2,4), (-1,1)}

Answers

Domain = {-1, 2, -1,0,1,2}
Range = {0,1,4)

find the equation to this line.​

Answers

y=4x-3
Hope this helps!
Answer: y = - x + 3
Ok done. Thank to me :>
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