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

A car manufacturer announced that next year the price of a certain model car would increase by 5.5 %. This year the price is ​$17,635. Find the increase and the new price. The increase in the price of the car is ​$? ​(Round to the nearest cent as​ needed.) The new price of the car is ​$? ​(Round to the nearest cent as​ needed.)

Answers

Answer:

Increase: $969.93 New Price: $18,604

Step-by-step explanation:

I got this answer by finding out how much of the initial price 5.5% was, it ended being 969.925 so I rounded that to 969.23 so that I may found how much the price increased, then I added the increase price to the initial price so that I may find out how much the car would cost next year which is, $18,604.

What is this angle ?


A.It is an adjacent angle.
B.It is a right angle.
C.It is a vertical angle.
D.It is a supplementary angle.

Answers

Answer: Angles 1 and 3 are adjacent to angle 140. (because they are next to each other)

Angles 1 and 2, 1 and 140, 140 and 3, and 3 and 2 are supplementary (because together they add up to 180 degrees)

Angles 140 and 2 and 1 and 3 are vertical angles because they are across from each other.

This may be a little confusing, so don't be afraid to ask for clarification, but great luck!

Jason has two pairs of pants, four shirts, and two pairs of shoes from which to choose to wear to school. How many possible outcomes does Jason have? A. 2 B. 4 C. 8 D. 16

Answers

Answer:

16 as 2 x 4 x 2 = 16

Step-by-step explanation:

just like on a dice we have 2 dice and 36 outcomes we multiply 6 x 6 to find it answers 36.

With Jason's outcomes he has 2 x 4 x 2 = 16

Answer:

16

Step-by-step explanation:

2 pants * 4 shirts * 2 shoes = 16

please mark me brainliest :)

If the coordinate of vertex A is (-2,4), then the coordinate of vertex A' is
(-2,-4)
(2,-4)
(2, 4)

Answers

Answer:

A' = (2,4)

Step-by-step explanation:

I know this because it's the opposite of (-2,4)

Answer:

(-2, -4)

Step-by-step explanation:

The lengths of two sides of an acute triangle are 8 inches and 10 inches. Which of the following could be the length of the third side?
A. 5 inches
B. 6 inches
C. 12 inches
D. 13 inches

Answers

12 inches
A triangle is acute when c^2 < a^2 + b^2

One leg of a right triangle is 21 inches longer than the other leg, and the hypotenuse is 39 inches.
Find the lengths of the legs of the triangle

Answers

Answer:

One leg - 15 inches

Second leg - 36 inches.

Step-by-step explanation:

One leg - x inches.

Second leg - (x + 21) inches.

Hypotenuse - 39 inches.

Using Pythagorean theorem

x² + (x + 21)² = 39²

x² + x² + 2*21x  + 21² = 39²

2x² + 42x - 39² + 21² = 0

2x² + 42x - 1080 = 0

x² + 21x - 540 = 0

(x - 15)(x + 36) = 0

x = 15, x = - 36

We can use only positive value.

One leg - x inches = 15 inches

Second leg - (x + 21) inches = 15+21=36 inches.

PLEASE HELP WILL MARK BRAINLIEST!:)
What are the solutions to the inequality (x-3)(x+5) less than or equal to 0?
a) {x| 3 less than or equal to x less than or equal to 5}
b) {x| -5 less than or equal to x less than or equal to -3}
c) {x| -5 less than or equal to x less than or equal to 3}
d) {x| -3 less than or equal to x less than or equal to 5}

Answers

Answer:c

Step-by-step explanation:

What type of function is represented in the table?
х
5
6.5
10
13
15
19.5
20
26
25
32.5
30
39
V
O exponential
O logarithmic
O linear
O quadratic

Answers

It’s linear because it’s adding the same number each time.

The type of function is Linear.

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

x  5    10    15    20    25    30

y  6.5  13  19.5  26   32.5   39

As, we can see from the table that every time the the difference between two consecutive value is same.

Hence, the function is linear.

Learn more about function here:

https://brainly.com/question/23013748

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Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is x, the length of D C is 4 x, and the length of B D is 10. What is the value of x? 2 units 3 units 5 units 8 units

Answers

Answer:

5 units

Step-by-step explanation:

see the picture

Answer:

The answer is 5 units

Step-by-step explanation:

At the school the ratio of boys to girls is 5:3 if there are 385 boys in the school, how many students are there altogether?

Answers

Answer:

There are 616 total students

Step-by-step explanation:

boys : girls: total

5           3      5+3 = 8

There are 385 boys

385/5 = 77

Multiply each term by 77

boys : girls: total

5*77  3*77   8*77

385    539    616

There are 616 total students

Answer:

616 total students

Step-by-step explanation:

5 : 3

385 : x

5 x 77 : 3 x 77

385 : 231

385 + 231 = 616

I NEED HELP PLEASE 30 points


Select the correct paint
One linear equation is defined by the points (2, 4) and (1, 1), while the other is defined by the points (2.-2) and (-5). Which point represents
the solution to this system of equations?

Answers

(2, 4) is the correct answer
(2,4)

Hope this helps

Select two ordered pairs that satisfy the function y = –4x – 1.

Answers

X = -0.25 and x = -2^-2
I’m not sure if this helps

Answer:

(-0.25,0) and (0,-1)

Step-by-step explanation:

I used a graphing calculator.

Put function the the calculator

then ind two points on the function and that is your answer

look at the picture, type at least two ways they are the same and different.

Answers

Answer:

Similar - They are both rectangles

Similar - They are both connected

Difference- One has yellow and one has white

Difference- Both are not at the same point?

Step-by-step explanation:

Brainliest appreciated

Monyne Phillips three coins. What is the probability that the first second and third Cornwall in the same way (either all heads or or tails) SHOW YOUR WORK

Answers

Answer:

1 in 8 chance.

Step-by-step explanation:

When a coin flips is has two outcomes: heads or tails, obviously.

Whenever you have a 50/50 probability, in this case a coin, every time you add another coin the amount of outcomes squares, or multiplies by the number of outcomes, and since we are using a coin, two. To reiterate, say we were using a die, a die is a cube, a six sided shape, so there are six outcomes. The chances of getting all sixes with one die is 1 in 6. Add another die and try to get all sixes, the chances become 1 in 36. We got this by multiplying our out comes by our outcomes

1 coin: 2 outcomes

2 coins: 4 outcomes

3 coins: 8 outcomes

Another thing:

Don't be fooled by questions being specific by saying "all heads" or "all tails"...

This is a wording trick, no matter the outcome, the chances will always be equal.

Good luck :)

Kevin thinks of a number. He adds 2 to the number, multiplies the result by 3,
and then subtracts 6. The number he ends up with is 27. What number did
Kevin start with?
If you work backward to solve this problem, what do you do first?
O A. Subtract 6 from 27
B. Add 6 to 27
C. Multiply 27 by 3
D. Subtract 2 from 27​

Answers

Answer:

The answer is B.

Step-by-step explanation:

Mark me brainiiest.

Charlie wants to order lunch for his friends. He'll order 5 sandwiches and a $3
kid's meal for his little brother. Charlie has $28. How much can he spend on
each sandwich if they are all the same price?
Choose two answers: one for the inequality that models this situation and
one for the correct answer.
D A. Answer: $5 or less
B. Answer: $7.66 or less
O C. Inequality: 3x+5<28
OD. Inequality: 3x+5 s 28
O E. Inequality: 5x+3 s 28
OF. Inequality: 5x+3228

Answers

Answer:

A

Step-by-step explanation:

Charlie bought a $3 kids meal so 28-3 is 25. Since he wants to buy sandwiches for 5 people, he'll have to divide 25 / 5 which is 5. So $5 or less.

Which sequence of transformations will map figure H onto figure H′?

Answers

Answer:

Rotation of 180° about the origin, translation of (x-10, y+2), and a reflection across x=-6

Step-by-step explanation:

The answer above me would be the answer if the problem was focussed on the y-axis, but, the problem is focussing on the x-axis.

The problem was focused on the y-axis, but, the problem is focused on the x-axis.

We have given that,

the sequence of transformations will map figure H onto figure H

We have to determine the transformation given in the following diagram.

What is the rotation of the origin?

Rotation about the Origin is a transformation that rotates or turns a figure (e.g., a triangle) about the origin point (x,y)→(0,0).

( x , y ) → ( 0 , 0 ) . The angle of Rotation: The number of degrees that a figure is turned or rotated about the origin.

Rotation of 180° about the origin, translation of (x-10, y+2), and a reflection across x=-6

The problem was focused on the y-axis, but, the problem is focused on the x-axis.

To learn more about the rotation visit:

https://brainly.com/question/26249005

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How is completing the square for an expression different than completing the square to solve an equation?

Answers

Answer:

Completing includes a change for the extra term has to be subtracted

Where completing the square to an equation will always result in finding what equals zero.

Sandra and Jenny spend a certain amount of money from their money box each month to buy plants. The table (function 1) shows the relationship between the amount of money (y) remaining in Sandra’s money box and the number of months (x):
Number of Months Amount Remaining (in $)
(x) (y)


1 50

2 45

3 40

4 35

The equation (function 2) shows the relationship between the amount of money, y, remaining in Jenny’s money box and the number of months, x:

Function 2
y = −6x + 50

Which statement explains which function shows a greater rate of change?
Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.
Function 2 shows a greater rate of change because Jenny spends $50 each month and Sandra spends $15 each month.
Function 1 shows a greater rate of change because Sandra spends $15 each month and Jenny spends $44 each month.
Function 1 shows a greater rate of change because Sandra spends $5 each month and Jenny spends −$6 each month.

Answers

Answer: “Function two shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.”


Match the function with the graph.
g(x) = -(x-6)
b
g(x) = -x + 6
a
c. g(x) = (x+6)
d. g(x) = -7° - 6
Please select the best answer from the choices provided

Answers

Can I see the graph?

Answer:

A) g(x)= -(x-6)^2

Step-by-step explanation:

The graph is of a parabola, so there must be a ^2

If you plug the equation into the graphing calculator it will graph it for you.

WILL GIVE BRAINIEST!! A circle has a radius of 14. Let AB be a chord of the circle, such that AB = 12. What is the distance between the chord and the center of the circle?

Answers

Step-by-step explanation:

ETA ES LA FÓRMULA:

x = [tex]\sqrt{4(14)^{2} - (12)^{2}}[/tex]/2 = 12.6

Hello can someone please help me ASAP

Answers

Answer:

A.

Step-by-step explanation:

[tex]m^2+n^2=p^2[/tex] because the Pythagorean Theorem is [tex]leg^2+leg^2=hypotenuse^2[/tex]

Answer:

A

Step-by-step explanation:

Since p is the hypotenuses it's supposed to be the biggest measure so the m and n should equal the hypotenuses when both are squared


Which of the following proportions could be used to convert 12 quarts to gallons?

Answers

Answer: it is c.

Step-by-step explanation: you have to think of it as being part of a whole. Bascially proportions.

Answer:

C

Step-by-step explanation:

C

Convert 7/15 to a decimal.
SHOW WORK

Answers

Answer:

.4666...

Step-by-step explanation:

What you do:

Too convert 7/15 to a decimal you need too divide it.

7/15 = 0.466666667 So its a repeating decimal.

There are two things you can do, either add a bar to the decimal to show its repeating or round it up like this: 0.467 or 0.47

                                                            ^ that is more accurate.

Have a good day! :)

ram is half his fathers age now. ten years ago he was one third his fathers age then what are their present ages

Answers

x   -  Ram's age now

Ram is half his father's age now, so his father's age is two times Ram's age:

2x  - Ram's father age now

x - 10   -  Ram's age ten years ago

2x - 10    - Ram's father age ten years ago

ten years ago he was one third his father's age so his father's age was three times Ram's age:

2x - 10 = 3•(x - 10)

2x - 10 = 3x - 30

-10 + 30 = 3x - 2x

20 = x

2x = 2•20 = 40

Answer:

Ram is 20 years old now, Ram's father is 40 years old now.

simplify 1/9 - 1/x over 1/81 - 1/x^2

Answers

Answer:

9x over x+9

Step-by-step explanation:

In 3 ​minutes, a conveyor belt moves 300 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 24 minutes. If both belts are​ used, find how long it takes to move the cans to the storage area. The time it takes to move the cans to the storage area using both belts is

Answers

Answer:

The answer is 1-1/2 minutes.

Step-by-step explanation:

c. Aria was having a birthday party for her friend. She ordered two pizzas for the party.
Each pizza had 24 slices. When the party was over, 17 slices were left. How many
slices of pizza were eaten at the party.

Answers

Answer:

31

Step-by-step explanation:

Each pizza had 24 slices so 2 pizzas had 24+24 or 24x2 = 48  slices

If only 17 remains, 48-17 = 31 slices got eaten

Answer:

31 eaten

Step-by-step explanation:

She started with 2 pizzas with 24 slices each

2*24 = 48

17 slices were left

48 - 17 = 31

That means 31 were eaten

The graph illustrates a reflection of JKM. What is the line of reflection?

A. x-axis
B. y-axis
C. y=x
D. y=2x

Answers

A x-Axis hope this helps

Answer:

A. x-axis

Step-by-step explanation:

The answer is the x-axis because the trangle is an exact reflection flipped across the x-axis. We also know this was flipped across the x-axis because the x values do not change, but the y values are the exact opposite. For example, point M has coordinates (1,-1) while point M' has coordinates (1,1). This is the same for points K, K', J, and J'.

Hope this helps ;)

which of the following is not a polynomial (a)x^2+ root2*x -3 (b)x^2+ root2x+6 (c)x^3+3x^2-3 (d)6x+4 Pls ans it fast....!!!!!

Answers

Answer:

the answer is B)

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