MATHEMATICS HIGH SCHOOL

Which shows 60^2 − 40^2 being evaluated using the difference of squares method?(A)60^2-40^2=(3600+1600)(3600-1600)=10,400,000
(B)6^2-40^2=3600-1600=2,000
(C)60^2-40^2=(60-40)^2=20^2=400
(D)60^2-40^2=(60+40)(60-40)=(100)(20)=2,000

Answers

Answer 1
Answer:

Answer:

Option D - 60^2-40^2=(60+40)(60-40)=(100)(20)=2000

Step-by-step explanation:

Given : Expression  60^2-40^2

To find : Which shows expression being evaluated using the difference of squares method?

Solution :

The best method to find the difference of squares method is by using identity,

a^2-b^2=(a+b)(a-b)

According to question,

a=60 and b=40

60^2-40^2=(60+40)(60-40)

60^2-40^2=(100)(20)

60^2-40^2=2000

Therefore, Option D is correct.
Answer 2
Answer: D. The answer has to be 2,000, eliminating A and C. B doesn't even use the original equation, as well as incorrectly solving the method, so D is the correct answer, even if you don't understand the principles.

Related Questions

Statistics that are used to draw conclusions about larger groups are called __________.
Check by divisibility test the number 26458900 is divisible by 11 and 4.
If one angle is x and the other angle.is 4x-15 what is the value of x
The sum of two numbers is 62 and their difference is 16.Which system of equations represents the word problem? x + y = 62 and x - y = 16 x + y = 62 and 62-x = 16 x + 62 = y and x - 16 = y
Make x the subject of the following... 2z = 3r + x

If a new jacket sells for $30, find the total cost if you were charged 5% sales tax. Round your answer to the nearest cent.

Answers

We would multiply $30 by 5% to first find 5% 
5% = 0.05 
$30 x 0.05 = $1.50
Now we add that to 30 
$30 + $1.50 = $31.50 

Your answer is $31.50 

Help I can't find any information

Answers

What do you need information on??

Factorise fully the following
A) 2x+10
B) 5x-15
C) 8x+6
D) 12x-8

Answers

Factorization of an algebraic expression means to write the given expression as a product of its factors.

The factorized form are:

A) 2x+10 = 2 ( x + 5 )

B) 5x-15 = 5 ( x - 3 )

C) 8x+6 = 2 ( 4x + 3 )

D) 12x-8 = 4 ( 3x - 2 )

What is factorization?

Factorization of an algebraic expression means to write the given expression as a product of its factors.

These factors can be numbers, variables, or algebraic expressions.

We have,

A) 2x + 10

we have a common factor of 2.

= 2x + 10

= 2 ( x + 5 )

B) 5x - 15

We have a common factor of 5.

= 5x - 15

= 5 ( x - 3 )

C) 8x + 6

We have a common factor of 2.

= 8x + 6

= 2 ( 4x + 3 )

D) 12x - 8

We have a common factor of 4.

= 12x - 8

= 4 ( 3x - 2 )

Thus the factorized form are:

A) 2x+10 = 2 ( x + 5 )

B) 5x-15 = 5 ( x - 3 )

C) 8x+6 = 2 ( 4x + 3 )

D) 12x-8 = 4 ( 3x - 2 )

Learn more about factorization here:

brainly.com/question/9070174

#SPJ2

Step-by-step explanation:

A .2x+10

2(x+5)

B. 5x-15

5(x-3)

C. 8x+6

2(4x+3)

D. 12x-8

4(3x-2)

0.55% as fraction in simplest form

Answers

11/20. move the decimal over right too places and make the denominator 100 then simplify

A ball is dropped from a height of 12 feet and returns to a height that is one-half of the height from which it fell. How far will the ball have traveled when it hits the ground for the fourth time?A. 12 feet

B. 24 feet

C. 3 feet

D. 33 feet

**my answer: D. 33 feet

not too sure tho.. is that right?

Answers

The ball have traveled 33 m when it hits the ground for the fourth time.

The correct option is D .

Given, that a ball falls from 12feet.

Analyzing the fall of ball every time.

Fall 1:

Ball dropped from height = 12 m .

Ball returns to half the distance from which it is dropped .

Rebound distance covered by ball = 6 m .

Fall 2:

Ball dropped from height = 6 m .

Ball returns to half the distance from which it is dropped .

Rebound distance covered by ball = 3 m .

Fall 3:

Ball dropped from height = 3 m .

Ball returns to half the distance from which it is dropped .

Rebound distance covered by ball = 1.5 m .

Fall 4:

Ball dropped from height = 1.5 m .

Ball returns to half the distance from which it is dropped .

Rebound distance covered by ball = 0.75 m .

Total distance covered when ball hits the ground for fourth time:

12 + 6 + 6 + 3  + 3 + 1.5 + 1.5

= 33 meters.

The correct option is D .

Know more about distance, here:

brainly.com/question/31756299

#SPJ5
Yes that is the correct answer. D:33 feet

Jacob has a piece of toast that has butter on one side, and he dropped it twice. Both times it landed with the butter side up. If he drops it two more times, what is the probability that it will have landed butter side up a total of three times? one over four one over two one over three two over three

Answers

P(total of 3) = 2C1 * (0.5) * (0.5) = 2 * 0.25 = 0.5 = 1/2
Other Questions
In the graph of the equation, 2x – 8y = 32, what is the y-intercept (b) of the line? Express the answer as an ordered pair.
If sin ⁡x=−1/2, and 270°* If 180°<θ<270°, and sin⁡θ=−3/4, what is the value of sin(−θ)?
Assumes Tiger Company had 60 units in beginning Finished Goods Inventory and sold 1,200 units. Additional data includes: • Units produced 1,300 units • Direct materials $13 per unit • Direct labor 9 per unit • Variable manufacturing overhead 3 per unit • Fixed manufacturing overhead 8 per unit Using absorption costing, what is the dollar amount of ending Finished Goods Inventory? a) $5,280 b) $4,000 c) $3,740 d) $800
Mentally estimate the total cost of items that have the following prices: $1.85, $.98, $3.49, $9.78, and $6.18. Round off your answers to the nearest half-dollar.