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prisoha [69]
3 years ago
8

if a square + b square + c square minus ab minus bc minus ca equals to zero, prove that A equals to B equal to C

Mathematics
1 answer:
lawyer [7]3 years ago
8 0
A^2 + b^2 + c^2  - ab - bc - ca = 0
a.a + b.b + c.c = a.b + b.c + c.a

equating  term by term:- 
a = b
b = c 
c = a

Therefore a = b = c 
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Five packets of almonds cost 2m dollars. Mandy buys 3 packets of almonds. How much change does she receive if she paid with a $1
Vitek1552 [10]

Answer:

$4

Step-by-step explanation:

if its $2 per packet and he is buying 3 do 2x3 which is 6 then 10-6 which is $4

3 0
3 years ago
Hunter started with the following model to show the problem 1.45 : 5. w 3 To complete the division model of 1.45 = 5, how many h
Cloud [144]

Each division set gives the outcome of the operation 1.45 ÷ 5 which is 0.29.

  • The number of hundredths in each division set is <u>D. 9</u>

Reasons:

The given Hunter's model consists of the following

One 10 × 10 number block

Four sets of a column of 10 cubes

Five individual cube pieces

Therefore;

In 1.45, we have;

1 unit

4 tenths

5 hundredths

Which gives;

Each single cube can be used to represent a hundredth in 0.05

One cube = 0.01

Each set of 10 cubes represents a tenth in 0.4

Each block of 10 by 10 can be used to represent the unit; 1

Dividing each of the 10 × 10 can be divided to sets of 20 blocks with a value of 0.2 each

The 4 sets of 10s can be divided by 5 to give sets of 8 with a value of 0.08

The 5 cubes divided 5 gives five cubes with each cube having a value of 0.01.

Therefore;

The value of each division set is 0.2 + 0.08 + 0.01 = 0.29

The number of hundredths in 0.29 = 9

The number of hundredths in each division set is therefore; <u>D. 9</u>

Learn more about number place value here:

brainly.com/question/184672

5 0
2 years ago
A survey showed that 35% of the students prefer plain white milk over chocolate milk. If the school has 1200 students. How many
Pani-rosa [81]

780 students prefer chocolate milk.

Step-by-step explanation:

Let,

the total percentage = 100%

Students who prefer plain white milk = 35%

Students who prefer chocolate milk = 100 - 35 = 65%

Number of students = 1200

No. of students who prefer chocolate milk = 65% of total students

No. of students who prefer chocolate milk = \frac{65}{100}*1200

No. of students who prefer chocolate milk = \frac{78000}{100}\\

No. of students who prefer chocolate milk = 780

780 students prefer chocolate milk.

Keywords: percentage, subtraction

Learn more about subtraction at:

  • brainly.com/question/11253316
  • brainly.com/question/11258952

#LearnwithBrainly

4 0
2 years ago
line w passes through point (-6,-7) and has a slope 1/2. what is the equation for the line in point-slope form?
Elena L [17]

Answer:

y + 7 = \frac{1}{2} (x + 6)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here m = \frac{1}{2} and (a, b ) = (- 6, - 7 ) , then

y - (- 7) = \frac{1}{2} (x - (- 6) ) , that is

y + 7 = \frac{1}{2} (x + 6)

8 0
2 years ago
Read 2 more answers
What is the weight of one half of two thirds of a sack of rice? The sack of rice weighs 99 kilograms.
Eddi Din [679]
First you need to find what 2/3 equals
to do this, take 99 divided by 3
99/3=33

if 1/3 equals 33, two thirds would be 33x2
33x2=66

now, you need to find 1/2 of 66.  this can be done 2 different ways

1.    66 divided by 2    -    66/2=33
OR
2.    66 x 1/2 = 33     OR     66 x .5 = 33

The answer is 33 kilograms

6 0
3 years ago
Read 2 more answers
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