MATHEMATICS HIGH SCHOOL

What polynomial identity should be used to prove that 21 = 25 − 4

Answers

Answer 1

Answer:

the complete question is

A: Difference of cubes

B: Difference of Squares

C: Square of Binomial

D: Sum of Cubes

we know that

The difference of two squares is a squared number subtracted from another squared number

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

In this problem

then

$(5^(2) -2^(2) )=(5+2)*(5-2)$

$(5^(2) -2^(2) )=(7)*(3)$

$(5^(2) -2^(2) )=21$

$25-4=21$

therefore

the answer is the option

B: Difference of Squares

Answer 2

Answer: Choices:
A: Difference of cubes
B: Difference of Squares
C: Square of Binomial
D: Sum of Cubes

The polynomial identity used is B. DIFFERENCE OF SQUARES

21 = 25 - 4
21 = 5² - 2²

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The unit cm2 is used to measure:

A.)mass
B.)area
C.)volume
D.)length

Answers

The unit cm2 is used to measure B. area.
To measure mass, you'd use kilograms, or any other variation of gram. Volume is measured in cm3 or any other variation of cubic meter. Length is measured in centimeters, without the square or the cube.

Mark and Nora both work at the same pet store. The inequality y less than or equal too 2x relates x, the number of hours Mark works each week, and y, the number of hours that Nora works. Which ordered pair must be included in the solution set of the inequality when interpreted in the context of the problem? please help(–7, 20)
(0, 0)
(8, 2)
(13, –28)

Answers

Answer:

y≤2x

Step-by-step explanation:

answer in comments

If your company needs to produce 7,800 products by the end of the next 12 weeks, how many products will you need to produce each week to finish on schedule?

Answers

The company will have to produce at least 650 products each week to achieve 7800 products in 12 weeks

(7800 products divided by 12weeks = 650 products per week)

A hot air balloon descends at a rate of 320 feet per minute for 3 minutes. Use integers to calculate andrepresent the balloon's total change in altitude

Answers

Given:
descends at a rate of 320 feet per minute for 3 minutes.

320 feet per minute * 3 minutes = 960 feet

Total change in altitude is 960 feet. Since it is descending, I believe it would be a negative 960 feet.

negative 960 feet per minute

Compute without using a calculator.
sin (9π/4)tan(7π/3)

Answers

$sin\left((9\pi)/(4)\right)tan\left((7\pi)/(3)\right)=sin\left(2(1)/(4)\pi\right)tan\left(2(1)/(3)\pi\right)=sin\left(2\pi+(1)/(4)\pi\right)tan\left(2\pi+(1)/(3)\pi\right)\n\n=sin(1)/(4)\pi tan(1)/(3)\pi=(\sqrt2)/(2)\cdot\sqrt3=(\sqrt6)/(2)$

Find the slope of 2x-9y=-36? please show steps thank you

Answers

what I do first (easier for me) is to change it into slope-intercept form
2x-9y=-36
-9y=-2x-36                2x
---------------   =    y= ---- +4
        -9                       9
the slope is whatever is in front of x, in this case 2/9

$2x-9y=-36\n-9y=-2x-36\ny=(2)/(9)x+4\n\n\boxed{m=(2)/(9)}$

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