How do you tell if something is a difference of squares?

Answers

Answer 1

A binomial is a difference of squares if both terms are perfect squares. Remember that we might first need to filter out a common element.

what is perfect square ?

Perfect squares result from squaring an integer. One such example is the number 81, which is a perfect square since it can be derived by squaring 9: 99=81. 144 is a perfect square since it can be generated by squaring the number 12, which results in 12. 169 is a perfect square since it can be squared to produce the number 13. mathematics-specific language Informally: When an integer (a "whole") number, whether positive, negative, or zero, is multiplied by itself, the result is referred to as a square number, a perfect square, or simply "a square". Accordingly, all square numbers are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.

given

A binomial is a difference of squares if both terms are perfect squares. Remember that we might first need to filter out a common element.

If a binomial is found to be a difference of squares, it is factored into two binomials. the first being the first term's square root less the second term's square root.

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Related Questions

Im giving up to 60 points for this.. Mr. Dunson made a model of a skyscraper that was 10 in. high. If Mr. Dunson used the scale of 2 inches represents 12 feet, what would be the height of the actual skyscraper?

Answers

Answer:jhhhh

Step-by-step explanation:g by ggh

Answer:

I will assume that is 19 2/5 INCHES.

Step-by-step explanation:

you have a bag of 850 pieces of candy and you eat half of the piece a day

a. create a table showing the candy remaining for days 0 - 8
b. what is the y-intercept
c. what is the decay factor
d. what equation matches the situation

Answers

HI, the answer is a, Ive took this before!
Have a nice dayyyy

please help quick. In triangle ABC,

Answers

Answer:

What is triangle ABC and what are the measures and what are the angles. Please provide enough information

Step-by-step explanation:

Type the correct answer in each box. Sharon tracks the number of cupcakes she sells each day for a week. The numbers of cupcakes she sold are 23, 25, 32, 35, 36, 25, and 27. The mean of her sales over the week is , and the median is . Reset Next

Answers

The mean of her sales over the week is 29 and the median is 27.

What is mean?

The arithmetic mean, arithmetic average, or simply the mean or average, is the sum of a collection of numbers divided by the number of numbers in the collection in mathematics and statistics. The collection is frequently a collection of results from an experiment, observational research, or survey. The mean is the average of a set of variables in mathematics and statistics. The mean may be calculated in a variety of methods, including the simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean.

Here,

To find the mean you need to sum all daily sales and then divided by the number of days. If we called daily sales as xi and the number of days evaluated as N, we have that the mean can be expressed as

mean = (∑xi)/N ⇒ media = (23 + 25 + 32 + 35 + 36 + 25 + 27 )/7

⇒mean = 29.

To find the mediana you have to put the number of sales in increasing orden and then look which is the number in the middle of the serie. So

23 - 25 - 25 - 27 - 32 - 35 - 36

⇒median = 27.

Summarizing, the mean of the sales is 29 and the median 27.

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What is the decimal equivalent of 15/8

Answers

Answer:

1.875

Step-by-step explanation:

to find the decimal equivalent, you have to divide 15 by 8 which would get you 1.875

Geometry

If BE = 2x + 2, BD = 5x - 3, and

AE = 4x - 6, what are the values

of x and AC?

Answers

In parallelogram, x=7 and AC = 44 units are the values of x and AC .

What do math parallelograms mean?

A unique kind of quadrilateral known as a parallelogram is defined by having both pairs of its opposite sides parallel and equal.

                       A parallelogram ABCD with the coordinates AB II CD and AD II BC can be seen in the provided illustration. Moreover, AB = CD and AD = BC. Non-Example: A parallelogram is not represented by a trapezium.

Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.

BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6

Using (i)

   BE  = BD/2

 2x + 2 = (5x- 3)/2

2(2x + 2) = 5x - 3

  4x + 4 = 5x - 3

   x = 7

Now , AE = 4(7)-6 = 28-6 = 22

AC =2 AE = 2 (22) =44 units.

Hence, x=7 and AC = 44 units.

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What is the maximum number of students among whom 135 pens, 180 pencils and 300 books can be equally divided.

Answers

Answer:

Step-by-step explanation: You can add all of these numbers with a calculator. but be sure what are the numbers telling you what to do. So always focus on the words that are going to mention about the numbers.

Help me please (no links plz)

Answers

9514 1404 393

Answer:

vertex: Ssides: ST and SR

Step-by-step explanation:

The vertex is the point the rays have in common. The side rays are named by naming the vertex first, then a point on the ray.

The rays come together at point S. The name of the vertex point is S.

The sides of the angle are rays ST and SR.

11. - a? - 2bc - Icl
if a = -2, b = 3,
and c = -3
problem in the photo
algebra

Answers

Answer:

11

Step-by-step explanation:

remember that the absolute value function always gives a positive value, that is

| - a | = | a | = a

substitute the given values into the expression

- a² - 2bc - | c |

= - (- 2)² - 2(3)(- 3) - | - 3 |

= - (4) - 2(- 9) - | 3 |

= - 4 + 18 - 3

= 14 - 3

= 11

Solve: 5|x + 9| = 80
A. x = -25 or x = 9
B. x = -25 or x = 7
C. x = -7 or x = 25
D. x = 7 or x = 16

Answers

Answer:   Choice Bx = -25 or x = 7

================================================

Work Shown:

5|x+9| = 80

|x+9| = 80/5

|x+9| = 16

x+9 = 16 or x+9 = -16

x = 16-9 or x = -16-9

x = 7 or x = -25

x = -25 or x = 7

Answer:

Step-by-step explanation:

x + 9 = 80/5

x + 9 = 16

x = 16-9

x =

PLEASE HELP ME WITH THIS QUESTION AND ILL BRAINLIEST YOU

Answers

Answer:

c

Step-by-step explanation:

Two sum of any two side lengths of a triangle will always be greater than the length of the remaining side

a doesn't work because 8+12=20 and 20 is not greater than 20

b doesn't work because 4+5=9 and 9<10

d doesn't work because 6+6=12 and 12 is not greater than 12

c is the only option where you can take any two sides, add them, and the sum will be greater than the remaining side.

For example, for c,

6+8=14, and 14>10

8+10=18, and 18>6

10+6=16, and 16>8

Answer:

b

Step-by-step explanation:

The answer is B because you can automatically mark out C and D because the first two dimensions can't equal to the last one and A is out because 6 and 8 is greater than 10 so that answer wouldn't be correct either.

Barrett earns $15 per hour cutting grass and $10 per hour tutoring reading. In one month, Barrett
needs to save at least $400 for a new lawnmower but does not want to work more than 35 hours.
Part A: Let x represent the hours cutting grass and y represent the hours tutoring. Given x ≥ 0 and
y ≥ 0, select all the inequalities that represent the situation.
A. x + y ≥ 35
B. 15x + 10y ≤ 400
C. x + y ≤ 35
D. 15x + 10y ≥ 400
E. 25x + 25y ≤ 400
F. 15x + 10y ≤ 35

Part B: Determine whether each point is a viable or nonviable solution according to the above scenario.

Viable Nonviable

(10, 25)

(10, 20)
(20, 12)
(35, 0)
(20, 20)

Answers

The inequalities that represent the situation are 15x + 10y ≥ 400 and x + y ≤ 35 and the viable solutions are (10, 25), (20, 12), (35, 0) and (20, 20)

The inequalities that represent the situation.

From the question, we have the following parameters that can be used in our computation:

Earnings from cutting = $15Earning from tutoring = $10Number of hours = not more than 35Total earnings = At least $400

These parameters above mean that

15x + 10y = Total earnings

x + y = Number of hours

So, we have

15x + 10y ≥ 400

x + y ≤ 35

The above represent the inequalities of the situation

The viable solutions

In (a), we have

15x + 10y ≥ 400

x + y ≤ 35

Next, we test the options

(10, 25)

15 * 10 + 10 * 25 ≥ 400 ⇒ 400 ≥ 400

10 + 25 ≤ 35 ⇒ 35 ≤ 35

True

(10, 20)

15 * 10 + 10 * 20 ≥ 400 ⇒ 350 ≥ 400

10 + 20 ≤ 35 ⇒ 30 ≤ 35

False

(20, 12)

15 * 20 + 10 * 12 ≥ 400 ⇒ 420 ≥ 400

20 + 12 ≤ 35 ⇒ 32 ≤ 35

True

(35, 0)

15 * 35 + 10 * 0 ≥ 400 ⇒ 525 ≥ 400

35 + 0 ≤ 35 ⇒ 35 ≤ 35

True

(20, 20)

15 * 20 + 10 * 20 ≥ 400 ⇒ 500 ≥ 400

20 + 20 ≤ 35 ⇒ 40 ≤ 35

False

Hence, the viable solutions are (10, 25), (20, 12), (35, 0) and (20, 20)

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The box plot below shows the total amount of time, in minutes, the students of a class surf the Internet every day:

A box plot is shown. The left-most point on the plot is 20 and the right-most point is 95. The box is labeled 40 on the left edge and 60 on the right edge. A vertical line is drawn inside the rectangle at the point 50.

Part A: List two pieces of information that are provided by the graph and one piece of information that is not provided by the graph. (4 points)

Part B: Calculate the interquartile range of the data, and explain in a sentence or two what it represents. (4 points)

Part C: Explain what affect, if any, there will be if an outlier is present. (2 points)

Answers

Answer:

this is for A Part A: it shows that the least amount is 37.5 minutes

          it shows the most amount of time is 60 minutes

        one thing it does not show is how many students where in the class

Step-by-step explanation:

mrk me brainliest plz

The box plot tells us about the lower limit, first quartile, median, third quartile, and upper limit.

Step-by-step explanation:

Box plot:

It displays the five-number summary of a set of data. The five-number summary is the lower limit, first quartile, median, third quartile, and upper limit. We draw a box in a box plot from the first quartile to the third quartile. A vertical line goes through the box which represents the median. Anything that lies beyond the upper limit or the lower limit is know as an outlier.

From the information given, we can say that:

The left-most point on the plot is 20 and the right-most point is 95 which means 20 and 95 are the lower and upper limit respectively.The box is labeled 35 on the left edge and 60 on the right edge which means 35 is the first quartile and 60 is the the third quartile. A vertical line is drawn inside the rectangle at the point 55 which means 55 is the median of given data.We cannot know about the mean of data with the given information

Answer:

C:

Step-by-step explanation:

the mean would be affected but not the other 2

Can anybody help me please?

Answers

Answer:

a or 116

Step-by-step explanation:

First you solve the blue part which is 14*14=196. Then solve the green part 10*8=80. Subtract blue minus green. Which gives you 116.

WHAT IS THE VOLUME OF THIS CONTAINER 2FT 1FT 1 FT

Answers

Answer:

What container is it. Is it cilyndrical or a prism ?

Step-by-step explanation:

Write a real-world application problem such that the equation to be formed to solve the problem is
7x – 5(x + 8) = 10.

Answers

Answer:

X=25

Step-by-step explanation:

Remove parentheses

7x - 5x - 40= 10

Merge the similar terms

2x - 40= 10

Constantly move to the right side and change characters

2x = 10 + 40

Addition

2x = 50

Divide both sides of the equation by 2

x = 25

Anna's hair has grown
2
3
of an inch in the 6 weeks since her last haircut. How fast does her hair grow?

Answers

1/2 inch
Explanation
I had this question on my homework and got it right. Hope this helps!

J31) what are the undefined values for sinx cosx / 1 - sin²x , where 0 ≤ x < 2pi ?

how?

Answers

Answer:Mathematics2 minutes ago

+5 pts

J31) what are the undefined values for sinx cosx / 1 - sin²x , where 0 ≤ x < 2pi ? how?

Step-by-step explanation:

Composite Figures Question 4.
A. 42 cm
B. 35 cm
C. 26 cm
D. 14 cm

Answers

Answer:

42 cm A

Step-by-step explanation:

find the cube root of 512​

Answers

Answer:

the answer is 8

Step-by-step explanation:

cube root of 512 is 8

−16−8≥0
How is it solved?

Answers

Answer:Subtract

8

from

16

.

24

0

Step-by-step explanation:

Determine the domain of the following graph

Answers

Answer:

-5<=x<=5 or in other terms {-5, 5}

Answer:

-5 ≤ x ≤ 5 Step-by-step explanation: That's the answer the dot starts at the x value of -5 and continues to +5. THe x is in the middle because this is domain.

Marcy made a lane change when. A car was in her side mirror blind spot. She missed the car but immediately crashed into the car ahead of her, causing damage. After Marcy filed the insurance claim, she was notified that her premium for full insurance would increase by 35% what is Marcy new yearly premium if her premium before the accident was $2,140


Peter insurance company is raising his rates after he files a claim . He pays $75 per month and his insurance is set to increase by 30% . What will Peters new monthly premium be ?

Kevin purchases a truck for $35,000 with a down payment of $4,300 . The monthly payment factor is 0.01933. What is the monthly payment for the truck ?

Answers

On solving the provided question, we can say that By percentage, the amount that will be covered in the insurance = $749

What is percentage?

A percentage in mathematics is a figure or ratio that is stated as a the fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

By percentage.,

35% 0f 2140 =

35/100 X 2140 = 0.35*2140 = $749

the amount that will be covered in the insurance = $749

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Find the distance between point k and point L

Answers

The distance between two points in a plane is the length of the line segment connecting them. The formula d=((x2 - x1)2 + (y2 - y1)2) is frequently used to determine the separation between two points.

What do you call the distance between points?

The length of the line segment bridging two locations in a plane is known as the distance between them. d=((x2 - x1)2 + (y2 - y1)2) is a common formula to calculate the distance between two points. This equation can be used to determine the separation between any two locations on an x-y plane or coordinate plane.

The length of the line segment is the distance between two points. Congruent segments are those that share the same length. By using a ruler to draw a line, we may determine how far apart two points are.

x,y = (-8,0) (-8,0)

or

x/y = -8/0

If there was an association between L and K, we would use x,y = 8,0.

Since the query reads "between point K and point L," the x,y relationship becomes "-8,0."

Therefore, the answer is -8,0.

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What should be taken away from 3x² 4y² 5xy 20 obtain X² y²+ 6xy 20?

Answers

4x2 - 3y2 - xy should be taken away from 3x² 4y² 5xy 20 obtain X² y²+ 6xy 20

A fraction is a percentage of a whole. This entire sentence could be referring to a single location or a collection of locations. The English word "fraction" originates from the Latin word "fraction," which means "to break." As the first society to comprehend fractions, the Egyptians used fractions to solve a number of mathematical problems, including the distribution of food and resources and the absence of a metal currency.

Assume X is the component that is absent.

As a result, the answer to the question is

(3x2 - 4y2 + 5xy + 20) - (X) = - x2 - y2 + 6xy + 20

To determine the value of X, let's change the words.

X is equal to (-x2 - y2 + 6xy + 20) = 3x2 - 4y2 + 5xy + 20.

X = 4x2 - 3y2 - xy X = 3x2 - 4y2 + 5xy + 20 + x2 + y2 - 6xy - 20

Thus, the expression that should be subtracted is 4x2 - 3y2 - xy.

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Translate to algebraic: Three times the difference of x and y is equal to
twice x plus 5.

Answers

3(x-y)=2x+5

*I need atleast 20 characters*

5. It takes a truck 4 hours to drive 240 miles. What was the truck's miles per hour? How far would the truck go in 1 days (think carefully)?​

Answers

Answer:

Step-by-step explanation:

a.4 hours drive 240 miles, so the speed is 240÷4=60 miles per hour

b.1 days have 24 hours, then, it will go 60 ×24 = 1440 miles in 1 days

Answer:

1440

Step-by-step explanation:

240+4= 60

distance = rt

r= rate

t = time

IN ONE DAY

60 times 24= 1440

(24 for 24 hours)

Pls answer! this problem

Answers

Answer:

9k + 36 represents the perimeter of the triangle.

Step-by-step explanation:

Have a nice day!

help me asap ..

- i will give BRAINLIEST.

Answers

Answer:

B, C, D, and F are all possible.

Answer:

B, C, D

Step-by-step explanation:

1. A is not possible because right and obtuse both define triangle angles. An angle cannot be obtuse and right at the same time.

2. B is possible because a right triangle can have all sides of different length.

3. C is possible because a scalene triangle can have an obtuse angle.

4. D is possible because an isosceles triangle can have all acute angles.

5. E is not possible because of how equilateral triangles work. When a triangle is equilateral, it is also equiangular, meaning all of its angles are the same. The angles on every type of triangle always add up to 180 degrees. If a triangle is equiangular, the 180 degrees are divided evenly, with every angle being 60 degrees, which is acute. Therefore, an equilateral triangle cannot have a right angle.

6. F is not possible because isosceles and scalene both refer to the side lengths of triangles. A triangle cannot be isosceles and scalene at the same time.

7. G is not possible because equilateral triangles cannot have angles other than 60 degrees and therefore cannot be obtuse.

I need help finding the answer X=6y+24
2x+3y=3

Answers

X=6
Y=-3
Step: Solve
x
=
6
y
+
24
for x:
x
=
6
y
+
24

Step: Substitute
6
y
+
24
for
x
in
2
x
+
3
y
=
3
:
2
x
+
3
y
=
3
2
(
6
y
+
24
)
+
3
y
=
3
15
y
+
48
=
3
(Simplify both sides of the equation)
15
y
+
48
+

48
=
3
+

48
(Add -48 to both sides)
15
y
=

45
15
y
15
=

45
15
(Divide both sides by 15)
y
=

3

Step: Substitute

3
for
y
in
x
=
6
y
+
24
:
x
=
6
y
+
24
x
=
(
6
)
(

3
)
+
24
x
=
6
(Simplify both sides of the equation)

Answer:
x
=
6
and
y
=

3
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