Mathematics College

Factorise:
4x^2+4xy+y^2-2^2

Answers

Answer 1

Answer:

Step-by-step explanation:

4x^2 + 4xy + y^2 = (2x + y)^2

and if we assume that 2x + y = A and because 4 = 2^2

A^2 - 2^2 = (A-2)*(A+2) .

Related Questions

x/2 - 1 = 3
What is X
Please help me, I’ll try to give brainliest!!

Answers

Answer:

x=8

Step-by-step explanation:

add 1 to each side

x/2-1=3

    +1  +1

x/2=4

multiply each side by 2 to isolate the varible

x/2=4

 x2  x2

x=8

find the slope of the line that passes through the points ( -2,3) and (7,-4)

Answers

Answer:

Slope= -7/9

Step-by-step explanation:

Answer:

-7/9

Step-by-step explanation:

(-2, 3) ; (7 , -4)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\[/tex]

         [tex]= \frac{-4-3}{7-[-2]}\\\\= \frac{-4-3}{7+2}\\\\= \frac{-7}{9}[/tex]

Which of the following expressions is the sum of four terms?
8 + jk + 5m + 12n + 7p
3 + 4m + n
jk + mn
7 + 7j + 7m + mj

Answers

I don't understand like what

Maria had $22 to spend on five pencils. After buying them she had $12.
How much did each pencil cost

Answers

Answer:

$2

Step-by-step explanation:

did it in my head........

In a normally distributed data set with a mean of 24 and a standard deviation of 4.2, what percentage of the data would be between 19.8 and 28.2 and why

Answers

Answer:

By the Empirical Rule, 68% of the data would be between 19.8 and 28.2

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 24

Standard deviation = 4.2

What percentage of the data would be between 19.8 and 28.2

19.8 = 24 - 4.2

28.2 = 24 + 4.2

So within one standard deviation of the mean

By the Empirical Rule, 68% of the data would be between 19.8 and 28.2

Find the perimeter, in feet, of the rectangle whose width is 13 feet and whose area is 208 square feet.
A. 16 B. 32 c. 29 D. 26 E. 58

Answers

Answer: 16

Step-by-step explanation:

If ab and cd are congruent what is the measure of

Answers

the measure of angle COD will be 101°

angle AOB and angle COD are vertically opposite angles

Either Table A or Table B shows a proportional relationship
Table A
x
Plot the points from the table that shows a proportional relationship
4
5
3
1 2
Undo
→ Redo
x Reset
Point + Move
6
у
10
8
10
Table B
9
1
2
4
6
у
3
4
6
8
7
6

Answers

Answer:

table A

Step-by-step explanation:

1,2 3,6 4,8 5,10

I did the test

The table A shows a proportional relationship between x and y, for every value of x, y doubles.

Proportional relationship

A proportional relationship exist between two entities if an increase in one causes an increase in another or vice versa.

Table A

x             y

1            2

3           6

4           8

5           10

Table B

x               y

1               3

2              4

4              6

6              8

Thus, the table A shows a proportional relationship between x and y, for every value of x, y doubles.

Learn more about proportional relationship here: https://brainly.com/question/2575222

Larry can type 225 words in 3 minutes. How many words can he type in 20 minutes?

Answers

Answer:

1500 words in 20 minutes

Step-by-step explanation:

So 225/3 min

or 225:3

so to find unit rate just divide

225/3=75

75 per minute

Now 75 words per minute times 20 minutes75*20=1500

So 1500 words in 20 minutes

Answer:

1500

Step-by-step explanation:

225/3= 75

75 words per 1 min

75 x 20= 1500

I need help with this please the answers I can choose from are
A. 53°
B.27°
C.100°
D.80°

Answers

Sum of interior angles of a △ = 180°

∴ ∠T + ∠V + ∠U = 180°

⇒ 37° + 63° + X° = 180°

⇒ X° + 100 = 180°

⇒ X° = 180° - 100°

⇒ X° = 80° (D).

HELP ASAPPPP!!! HAUSBJANAHSJISIS

Answers

1: 72
2: 32
3: 1/2

I think this is it

The cost of renting a boat is $51 for 5 hours. Which of the following is not an equivalent rate? Give the letter of your answer and justify your answer. Show your work.

A. $61.20 for 6 hours

B. $30.60 for 3 hours

C. $71.40 for 7 hours

D. $41.20 for 4 hours

Answers

B. Obviously all the numbers have to do with one and it’s 30. If it’s wrong let me know !

Geometry help please. What is the value of v?

Answers

Answer:

v=15

Step-by-step explanation:

31+4v+44=9v

Answer:

v = 15

Step-by-step explanation:

By exterior angle theorem:

9v° = 31° + (4v + 44)°

9v° = (4v + 44 + 31)°

9v = 4v + 75

9v - 4v = 75

5v = 75

v = 75/5

v = 15

-6+ (-20) + (-40) + 3d

Answers

Answer:

-3(22-d) ?

Step-by-step explanation:

I hope this is right please let me know

Plzzz hellppp I needs thiss nowwww plzzzzz


3x + 2 = 11

Answers

3x+2=11
(you need to isolate x, so step 1 is to subtract 2 from both sides.)
3x+2-2=11-2
3x=9
(then divide both sides by 3)
3x/3=9/3
x=3

Answer: x=3

Step-by-step explanation:

3x= 11-2

3x=9

then divide each side by 3

3 divide 3 =1 9 divide 3 = 3 so...

x=3

Ms. Albero decided to make juice to serve along with the pizza at the Student Government party. The directions said to mix 2 scoops of powdered drink mix with a half a gallon of water to make each pitcher of juice. One of Ms. Albero’s students said she will mix 8 scoops with 2 gallons of water to get 4 pitchers. How can you use the concept of proportion to decide whether the student is correct?

Answers

Answer:

2 scoops per pitcher,

Step-by-step explanation:

2 (per pitcher) * 4(pitchers) = 8

2 scoops makes 1 pitcher and she's using 8 scoops so that would give us 4 pitchers.

I'm a number between 17 and 25

Answers

um theres alot of numbers well exactly 8 but im going to choose 23

Hope this helped :>

ahah I don’t know what you are intended but a number between 17 and 25 is 21.
not sure, sorry.

PLEASE HELP ME ITS DUE IN AN HOUR AA

Answers

i think it’s 1 but i could be wrong

(−5x 2 squared +6x+7)+(−x2 squared +4x)= please help me will mark brainliest.

Answers

Answer:

I believe it equals -6x²+10x+7

Step-by-step explanation:

What other materials do you think a chemical engineer would explore to find new ways of using them?
Sorry not a math question but please help me!!​

Answers

Answer:

In this lesson, students explore the field of chemical engineering and identify the ... Students will explore how chemical engineering is like and different from the other engineering professions. ... dealing with the composition of substances and their properties and reactions ... What do you think a chemical engineer does?”

Step-by-step explanation:

what is the linear equation of (0.5,10) and -4.5,-10​

Answers

Answer:

The linear equation containing the points (0.5, 10) and (-4.5, -10) will be:

[tex]y=4x+8[/tex]

Please check the attached graph also.

Step-by-step explanation:

Given the points

(0.5, 10)(-4.5, -10)

Finding the slope between (0.5, 10) and (-4.5, -10)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0.5,\:10\right),\:\left(x_2,\:y_2\right)=\left(-4.5,\:-10\right)[/tex]

[tex]m=\frac{-10-10}{-4.5-0.5}[/tex]

Refine

[tex]m=4[/tex]

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

m is the slope of the line(x₁, y₁) is the point

substituting the values m = 4 and the point (0.5, 10)  in the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 10 = 4(x-0.5)[/tex]

Add 10 to both sides

[tex]y-10+10=4\left(x-0.5\right)+10[/tex]

Simplify

[tex]y=4x+8[/tex]

Therefore, the linear equation containing the points (0.5, 10) and (-4.5, -10) will be:

[tex]y=4x+8[/tex]

Please check the attached graph also.

For each expression, write an equivalent expression by applying the distributive
property.
2. (x + 4)(2x - 1)

Answers

2x^2 + 7x - 4 , i hope this helps

The equivalent expressions are:

x² + 11x + 18

2x² + 7x - 4

x² - 10x + 25

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

(x + 2) (x + 9)

(x + 4) (2x - 1)

(x - 5)²

Now,

Applying the distributive property.

1)

(x + 2) (x + 9)

x² + 9x + 2x + 18

x² + 11x + 18

2)

(x + 4) (2x - 1)

2x² - x + 8x - 4

Combining the like terms.

2x² + 7x - 4

3)

(x - 5)²

(x - 5) (x - 5)

x² - 5x - 5x + 25

x² - 10x + 25

Thus,

The equivalent expressions are:

x² + 11x + 18

2x² + 7x - 4

x² - 10x + 25

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7

Simplify the expression /-9/(3-2i)+(1+5i)

Answers

36+27i because /-9/ equals 9 so you distribute 9 in the parentheses then you add like terms

Question 9 of 10
What is the value of y?
B
60°
12
12
60
A
12
A. 36°
B. 1200

Answers

Answer:

d

Step-by-step explanation:

its a triangle all sides are equal. so it would be d-60 degrees

HELP! I NEED ASAP "Find the sum (3m + 9) + (7c - 3) + (4n + 1)"

Answers

Answer:

its 3m+7+7c+4n

Step-by-step explanation:

Its really easy

Which equation best represents the weight, w, of this alligator, n, weeks after hatching?

Answers

Answer:pretty sure its 0.25n+6

Step-by-step explanation: that seems the most reasonable

If 5k=-25
Help plz make

Answers

Answer:

Answer is -5

Step-by-step explanation:

Solve

−15x=6

−30

−65

−1

615

Answers

Answer:

its -0.4, are those rlly the options? if they are jus round up and do -1

9292x2929 give brainliest so yeah gettt itt!

Answers

27,216,268

        9292

   x   2929

   ________

27,216,268

Answer:

27216268

Step-by-step explanation:

I looked it up lol

Two numbers differ by 5. The sum of their squares is 193. Find the numbers.

Answers

Answer:

Let one number be x and the other be (x-5)

Step-by-step explanation:

x^2+(x-5)^2=193

x^2+x^2-10x+25=193

2x^2-10x+25=193

Subtract 193 from both sides of the equation.

2x^2-10x-168=0

x=12 or x=-7

x-5=7 or x-5=-12

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