Which of the following shows how the number 7 can be rewritten with the difference of squares identity? (16-9)=(4+3)(4-3) (18-11)=(9+6)(9-5) (25-4)=(5+2)(5-2) (16-9)=-1(4+3)(4-3) (64-1)=(8+1)(8-1)

Answers

Answer 1

Answer:

A) (16-9) =(4+3)(4-3)

Step-by-step explanation:

Explanation:-

Given the number = 7

The difference of two numbers  are 16-9 =7

The difference of squares  

                                        4² - 3²  = 7

We will use formula

                 a² - b² = (a-b) (a+b)

                  4² - 3² = (4 -3) (4+3)

                 16 -9 =  (4 -3) (4+3)

Final answer:-

The number 7 can be rewritten with the difference of squares identity

16 -9 =  (4 -3) (4+3)


Related Questions

Which number line best shows the position of 113?
13
+
+
+
+
-3
-4
-2
-1
0
1
2
3
4.
13
a
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+
+
+
1
+
2
-4
-3
-2
-1
0
2
3
4
113
++
+
-4
-3
-2
-1
0
1
2
3
4
13
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-5
-3
-2
-1
0
1
2.
3
4
5

Answers

This question is a little wonky about its format and structure. Hope you have a great day still!

Factorise 5n + 15
Please

Answers

Answer:

The correct answer is

5(n + 3)

Use the distributive property to factor

Hope this helps!

- Quinn

Answer:

Step-by-step explanation:

5n + 15 = 5*n + 5*3

           = 5* [n + 3]

           = 5[n + 3]

Simplify sqrt of 75x^6y^11 to the form a sqrt of b

Answers

Answer:

2121221

Step-by-step explanation:

Joey can eat a pound and a half of ribs in 45 minutes. How many minutes would it take Joey to eat five pounds of ribs at the same rate?

Answers

Answer: 150 minutes

Step-by-step explanation:

1.5 pounds in 45 min

5 pounds in X times

Using proportionality:

[tex]\frac{1.5}{45} =\frac{5}{x} \\x=\frac{5*45}{1.5} \\x=150[/tex]

What is the 18th term in an arithmetic sequence with the first term equal to 6 and the constant difference equal to 17?

Answers

Answer: 295

Step-by-step explanation:

[tex]Formula: a_n=a_1+(n-1)d[/tex]

Where;

[tex]a_n[/tex] = nth term (the term we're trying to find.)

[tex]a_1[/tex] = first term

[tex]n[/tex] = nth term

[tex]d[/tex] = difference

[tex]a_1_8=6+(18-1)(17)\\a_1_8=6+(17)(17)\\a_1_8=6+289\\a_1_8=295[/tex]

Solve |4x +2|= 6
a.1 or -2
b.-1 or 2
c.1
s.2

Answers

Answer:

A

Step-by-step explanation:

When taking out the absolute value, it's 4x+2=6 and 4x+2=-6. At this point just solve for x and your answer(s) should be 1/-2

Answer:

x =1   x=-2

Step-by-step explanation:

|4x +2|= 6

There are two solutions a positive and a negative

4x+2 = 6      and 4x+2 = -6

Subtract 2 from each side

4x+2-2 = 6-2      4x+2-2 = -6-2

4x = 4                     4x = -8

Divide by 4

4x/4 = 4/4            4x/4   =-8/4

x =1                            x = -2

Im having trouble on these ones. Can someone help>

Answers

Answer:

9. 40°

10. 50°

11. 270°

12. 310°

Step-by-step explanation:

m∠BPC = 40° because it is complementary to ∠APB, which is 50°.

Arc AB is 50° because it will be equal to the central angle, which is 50°.

Arc ADC is 270° because it will be equal to the central angle, which is 270°.

Arc ADB is 310° because it will be equal to the central angle, also 310°.

How do I find the value of x?

Answers

Answer:

Since you're asking how to find the value of x, you can use cosine, since the triangle is a right triangle.

Answer:

Only cosine include both hypotenuse and adjacent. We need both of them because those are 2 side that have numbers/letters.

So cos(28) = 11/x

Multiply by x

Then you'll get xcos(28) = 11

Do oposite cosine and you'll get

x = 11*opposite cos(28)

opposite cosine means cos^-1

thats approx. equal to 12.46 units

Reduce -6+b^6 by 2+b^4

A. -8+b^10
B. -4+b^10
C. -4+b^2
D. -8+b^6-b^4

Answers

Answer:

D

Step-by-step explanation:

-6 + b⁶ - (2 + b⁴) = - 6 + b⁶ - 2 - b⁴  {Now add the like terms}

                          =  -6 - 2 + b⁶ - b⁴

                          = -8 + b⁶ - b⁴

Answer is A

Hope it helps


[tex]( {8x}^{2} + 4x + 4) - (7x + 9)[/tex]
Solve.

Answers

Answer:

Combining like terms together we get 4x - 7x = -3x and 4 - 9 = -5 so the answer is 8x² - 3x - 5.

Let f(x)=3x + 5 and g(x) = 3x2 - x - 10. Find (f/g)(x) and state it’s domain

Answers

Answer:

9x²-3x-25, Domain is all real numbers

Step-by-step explanation:

f(g(x)) = 3(3x²-x-10)+5

= 9x²-3x-30+5

= 9x²-3x-25

Domain is all real numbers

F(x) is a function

A.true
B.false

Answers

Answer:

false

Step-by-step explanation:

A function has a one to one correspondence.  That means each input goes to one  output.  12 goes to 2 different outputs so it is not a function

Answer:

false

Step-by-step explanation:

f(x) is not a function because an input can I have more than one output.

AB is a segment with one endpoint A(-7,9) and midpoint M(8,1). Can
you find the coordinates of the other endpoint B?
Enter the x-coordinate of the other endpoint here
Enter the x-coordinate of the other endpoint here​

Answers

Answer:

x-coordinate of the other endpoint: 23

y-coordinate of the other endpoint: -7

Step-by-step explanation:

To find the x-coordinate of the other endpoint, we need to find the run between the known endpoint and the midpoint

run: xM - xA = 8 - (-7) = 15

where xM and xA are the x-coordinates of M and A respectively.

The run between the other endpoint and the midpoint must be the same as before:

x - 8 = 15

x = 15 + 8

x = 23

To find the y-coordinate of the other endpoint, we need to find the rise between the known endpoint and the midpoint

rise: yM - yA1 =  - 9 = -8

where yM and yA are the y-coordinates of M and A respectively.

The rise between the other endpoint and the midpoint must be the same as before:

y - 1 = -8

y = -8 +1

y = -7

1. Stephen works for an environmental protection agency

responsible for toxic waste cleanup. Stephen has to

remove the top 24" of contaminated soil in order to make

sure the soil is not a health hazard. The soil covers a

1200' x 1500'lot. How much soil must be removed?

Answers

Answer:

Area to be removed = 3600000 feet³

Step-by-step explanation:

We need to calculate the volume of soil to be removed. We have been already provided with area of the lot in feet.

Total Area of soil = 1200' x 1500'

Where soil to be removed is given in inches, convert it into feet

Soil to be removed = 24''=2'

Multiply both the the value to get the volume of soil to be removed so the soil is not a health hazard

Area to be removed = 1200' x 1500' x 2'

Area to be removed = 3600000 feet³

The table below shows the weekly change in the price of one gram of gold for four weeks.

By how much did the price of one gram of gold change from the beginning of week 1 to the end of week 4?

Answers

Answer:

I mean it changed by .25

Step-by-step explanation:

Im not sure if youre asking for the median or the price difference?

the pair of figures is similar. find x. round to the nearest tenth if necessary.




A: 34cm
B: 29.6cm
C: 9.8cm
D: 21.9cm





Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step by step explanation:

60 miles/1 hour * 5380/1 mile * 1 hour/60 min * 1 min/60 seconds

Answers

Answer:

Don't understand this

Is the sqre root of 16 + 3/4 irrational

Answers

The square root of 16 is a rational number. The square root of 16 is 4, an integer. This is because 16 is a perfect square.

8(3+a)=64 what is a=?

Answers

Answer:

5

Step-by-step explanation:

8(3 + a) = 64

3 + a = 8

a = 5

The value of a is 5.

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Hannah invests £350 in an account that pays 3.5% compound interest per annum. Work out how much money Hannah will have in her account in 12 years.

Answers

Hannah will have £528.87 because if you use the equation A=P(1+r/n)^nt you will get that

II'll mark brainliest who is the first to answer both questions correctly.

A)

You take the four Aces, four 2's, and four 3's from a standard deck of 52 cards, forming a set of 12 cards. You then deal all 12 cards at random to four players, so that each player gets three cards. What is the probability that each player gets an Ace, a 2, and a 3?

B)

In the SuperLottery, three balls are drawn (at random) from ten white balls numbered from 1 to 10, and one SuperBall is drawn (at random) from ten red balls numbered from 11 to 20. When you buy a ticket, you choose three numbers from 1 to 10, and one number from 11 to 20.

Answers

Answer:

A) The probability that each player gets an ace, a 2 and a 3 with the order unimportant = (72/1925) = 0.0374

B) The probability of winning the jackpot = (1/1200) = 0.0008333

Step-by-step explanation:

A) There are four Aces, four 2's, and four 3's, forming a set of 12 cards

These cards are to be divided at random between 4 players.

What is the probability that each player gets an ace, a 2 and a 3.

We start with the first player, the probability of these cards for the first player, with order not important (because order isn't important, there are 6 different arrangement of the 3 cards)

6 × (4/12) × (4/11) × (4/10) = (16/55)

Then the second player getting that same order of cards

6 × (3/9) × (3/8) × (3/7) = (9/28)

Third player

6 × (2/6) × (2/5) × (2/4) = (2/5)

Fourth player

6 × (1/3) × (1/2) × (1/1) = 1

Probability that each of the players get different cards is then a multiple of the probabilities obtained above

= (16/55) × (9/28) × (2/5) × 1

= (288/7700) = (72/1925) = 0.0374

B) The concluding part of the B question.

To win the jackpot, the numbers on your ticket must match the three white balls and the SuperBall. (You don't need to match the white balls in order). If you buy a ticket, what is your probability of winning the jackpot?

Probability of wimning the jackpot is a product the probability of getting the 3 white balls correctly (order unimportant) and the probability of picking the right red superball

Probability of picking 3 white balls from 10

First slot, any of the 3 lucky numbers can fill this slot, (3/10)

Second slot, only 2 remaining lucky numbers can fill this slot, (2/9)

Third slot, only 1 remaining lucky number can fill this slot, (1/8)

(3/10) × (2/9) × (1/8) = (1/120)

Probability of picking the right red superball

(1/10)

Probability of winning the jackpot = (1/120) × (1/10) = (1/120) × (1/10) = (1/1200) = 0.0008333

Hope this Helps!!!

Can someone please answer this?

Answers

Answer: it is a parallelogram

Step-by-step explanation:

the coordinates form a parallelogram as you can see on the grid.

the shapes edges are joined together to form a parallelogram

there you go

ASAP What is the slope of the line y= 3?

Answers

Answer:

the slope is zero because

Step-by-step explanation:

this is a perfect horizontal line passing through y=-3

I've been thought

hope it helps

Answer:

Slope = 0

This is because the line does not go up or down. And the line is horizontal leading to the factor of the slope being 0.

Jason wants to cut a rope that is 60 feet long into several equal pieces with nothing left over. How many pieces will he have if the length of each piece is the greatest integer possible?

Answers

Answer:

2 pieces, 30ft each

Step-by-step explanation:

rope : 60ft long

we are trying to figure out how many equal pieces we can cut the rope into with the length of each piece to be the greatest possible integer:

if jason wants the length of rope to be the longest than the answer is 2, if he divides the length of 60 by 2, each piece will be 30 feet long. If he divides the rope by any number larger, each piece will be shorter than 30 feet, and he wants the piece to be the largest possible length.

Answer

The answer is 2 pieces and 30ft

An isosceles triangle has two congruent side lengths of 20 inches.
The base of the triangle has a length of 32 inches. What is the height of the
triangle?
12 inches
10 inches
15 inches

Answers

Answer:

h = 12

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2

The legs are 32/2 = 16 and the height h

The hypotenuse is 20

16^2 + h^2 = 20^2

256 + h^2 = 400

h^2 = 400-256

h^2 = 144

Taking the square root of each side

h = sqrt(144)

h =12

asaphhhhhhhhhreeeerlllloppo

Answers

Answer:

(3 x 2 x 3 x 2) + (2 x 2 x 2 x 2 x 3)

Step-by-step explanation:

36 = 6 x 6

6 = 3 x 2

36 = 3 x 2 x 3 x 2

48 = 12 x 4

12 = 3 x 4

4 = 2 x 2

48 = 2 x 2 x 2 x 2 x 3

Kim’s family spends $62.50 on dinner. They leave an 18% tip. How much is their total bill after tip?

Answers

Answer:

51.25

Step-by-step explanation:

Multiply 62.5 by .18. You get 11.25. Subtract that from 62.5 and you get 51.25.

Answer:

Multiply the price with the tip rate

18% = 0.18

62.5 x 0.18 = 11.25

that is the tip. We add that on to find the total price

62.5 + 11.25 = 73.75

73.75 dollars is the answer. Hope this helps

Step-by-step explanation:

Simplify: 6-/18 - 3.450

Answers

Answer:

-3.11666666667

Step-by-step explanation:

remove parentheses by multiplying factors.

use exponent rules to remove parentheses in terms with exponents.

combine like terms by adding coefficients.

combine the constants. hope this helps you :)

How many solutions does the following system of equations have? y=5/2x+2 and 2y=5x+8

Answers

Answer:

No solutions.

Step-by-step explanation:

y = 5/2x + 2

2y = 5x + 8

Plug the first equation into the second.

2(5/2x + 2) = 5x +8

5x + 4 = 5x + 8

5x + 4 cannot equal 5x + 8, so this system of equations has no solutions.

HELLO PLEASE HELO ME.

Answers

Answer:

the answer is 33

Step-by-step explanation:90 - 57=33

Answer:

33 degrees

Step-by-step explanation:

90-57=33

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