Combining Like Terms- Thank you!!

Hello,

We have : (a + b)² = a² + 2ab + b²

4x² + 20x + 25 = (2x)² + 2 × 2x × 5 + 5² = (2x + 5)² → answer B

Here, we have a = 2x and b = 5 !

Answer:

[tex]\textsf{b.} \quad (2x+5)^2[/tex]

Step-by-step explanation:

Given quadratic equation:

[tex]4x^2+20x+25[/tex]

To factor a quadratic in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].

[tex]\implies ac=4 \times 25=100[/tex]

[tex]\implies b=20[/tex]

Factors of 100 that sum to 20:   10 and 10

Rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies 4x^2+10x+10x+25[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies 2x(2x+5)+5(2x+5)[/tex]

Factor out the common term (2x + 5):

[tex]\implies (2x+5)(2x+5)[/tex]

Simplify:

[tex]\implies (2x+5)^2[/tex]

Learn more about quadratic equations here:

https://brainly.com/question/27997764

Answer:

Step-by-step explanation:

5x+ACB=180

A=33

2x+33 +ACB=180

This means 2x+33=5x

3x=33

x=11

Answer:

[tex]\textsf{b.} \quad 3x+5y=2[/tex]

Step-by-step explanation:

Define the given points:

[tex]\textsf{let}\:(x_1,y_1)=(4,-2)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(-1,1)[/tex]

Use the slope formula to determine the slope of the line:

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-(-2)}{-1-4}=\dfrac{1+2}{-1-4}=-\dfrac{3}{5}[/tex]

Use the point-slope formula to determine the equation of the line.

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

Substitute the found slope and point (4, -2):

[tex]\implies y-(-2)=-\dfrac{3}{5}(x-4)[/tex]

[tex]\implies y+2=-\dfrac{3}{5}(x-4)[/tex]

Multiply both sides by 5:

[tex]\implies 5(y+2)=-3(x-4)[/tex]

Expand the brackets:

[tex]\implies 5y+10=-3x+12[/tex]

Add 3x to both sides:

[tex]\implies 5y+10+3x=-3x+12+3x[/tex]

[tex]\implies 3x+5y+10=12[/tex]

Subtract 10 from both sides:

[tex]\implies 3x+5y+10-10=12-10[/tex]

[tex]\implies 3x+5y=2[/tex]

Answer:c

Step-by-step explanation:

Answer:

it's c

Step-by-step explanation:

khan academy

Answer:

19

Step-by-step explanation:

ZYW=YWX

2x=180-90-(3x-5)

2x=90-3x+5

2x=95-3x

5x=95

x=19

Answer:

There are 4096 options to choose from.

Step-by-step explanation:

6 sections each with 4 colours to choose from : 4⁶ = 4096

The spinner with 6 different parts and 4 different colors can be painted in 4⁶ ways.

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, you are going to paint the sixth sector spinner shown and there are 4 colors to choose from also each color can be used more than once and there are no other restrictions.

∴ The first part can e painted in 4 different ways and as there are no restrictions every 6 parts can be painted in 4 different ways.

So, the total no. of ways to color this spinner with 6 different parts and 4 different colors are,

4×4×4×4×4×4 ways,

= 4⁶ ways.

learn more about permutation and combination here :

https://brainly.com/question/2295036

#SPJ2

Answer: 62.8in

Step-by-step explanation:

The formula for circumference is C=2πr. Put the values of 10 in for r and 3.14 in for pi, and you get an equation that looks like C=2(3.14)(10). Solving this equation gets you 62.8.

Answer:

62.8

Step-by-step explanation:

Circumference=2rpi

c=2*10*pi

c=20*pi

c=20*3.14

c=62.8

Answer: 32

Step-by-step explanation:

The only numbers that can have 2 digits and two of which equal to five can only be:

3+2

2+3

4+1

1+4

So the numbers are: 41,14,23, and 32.

41-9=32

14-9=5

23-9=14

32-9=23

Since the question is asking for the number who’s difference is the reverse of one of the numbers. The only possible answer is 32 because 32-9= 23. (23 is the reverse of 32)

Answer:

lineHO parallel lineEN - Given

lineHW = lineNW - Given

angle HWO congruent angle EWN Vertical Angles

angle OHW congruent angle ENW Alternate interior angles

Thus triangle HOW congruent triangle NEW

[wouldn't let me use symbols sorry]

Answer:

Step-by-step explanation:

(A)length of a stamp=1/5foot

wide of a stamp=1/4foot

area of the stamp=?

area of the stamp=length of a stamp *wide of a stamp

                              =1/5*1/4

                              =1/20square foot

(B)an area of the room=1/4  square meter

width of the room=1/5meter

length of the room=?

an area of the room=width of the room*length of the room

1/4                              =1/5                          *  length of the room

1/4                              = length of the room/5                

5/4                             =length of the room

(C)the area of the canvas=1/5square yard

width of the canvas=1/4 yard

length of the canvas=?

an area of the  canvas=width of the  canvas*length of the  canvas

1/5                                = width of the  canvas*1/4

1/5                                 = width of the  canvas/4

4/5                                =width of the  canvas

width of the  canvas=   4/5

(D)length of the  rectangular course=1/5mile

area of the  rectangular course=1/4square mile

width of the  rectangular course=?

an area of the  rectangular course

                          =

width of the  rectangular course*length of the  rectangular course

1/4                      =width of the  rectangular course*1/5

1/4                      =width of the  rectangular course/5

5/4                     =width of the  rectangular course

width of the  rectangular course=5/4

9² or 9^2

Because the base is the same on the top and the bottom which is "9", you would either add or subtract the top and bottom exponent based on the arithmetic symbol used.

Because the arithmetic symbol division sign is used, you subtract the top exponent by the bottom giving you the answer nine to the power of two.

Answer:

The correct answer is [tex]9^2[/tex]

Step-by-step explanation:

9 is the base and 7-5=2. so n=2.

Answer:

5√3

Step-by-step explanation:

Answer:

The answer to your question is 3.5 m

Step-by-step explanation:

1 m= 100 cms

so 350 cms  = 3.5 m

I hope this helps and have a good day!

Answer:

(14/3, 7/3)

Step-by-step explanation:

8-3=5, and 5/3+3=14/3.

5--3=8, and 8/3+5=7/3.

This has a ratio of 1:2 because the length is divided into three and 1 is separate from the other two.

biscuits sweet strawberry

Answer:

ospe4mhe is taht he iaoe

Answer:

Synecdoche means in which a part of something is substituted for the whole (as hired hand for "worker")

The domain of the notation [tex]s(x) = \sum\limits^{\infty}_{n=1} n^{-x}[/tex] is the set of all real values

The sum notation is given as:

[tex]s(x) = \sum\limits^{\infty}_{n=1} n^{-x}[/tex]

From the above notation, the smallest value of n is 1.

This means that the variable x can take any real value as it value

Hence, the domain of the notation [tex]s(x) = \sum\limits^{\infty}_{n=1} n^{-x}[/tex] is the set of all real values

Read more about domain at:

https://brainly.com/question/1770447

#SPJ1

To start solving the exercise, we obtain as data:

We apply as a formula:

We apply the formula and solve:

Therefore, the area of the circle is 27 ft².

Answer: 27ft²

Step-by-step explanation: Soln:

Given that,

π=3

Radius(r)=3ft.

We have,

A = π r²

A = 3* (3)²

A=3*9

A=27ft²

Answer:

6.4

Step-by-step explanation:

Use the triangle angle bisector theorem.

4.9/2.6 = AC/3.4

2.6AC = 4.9 × 3.4

AC = 6.40769...

Answer: 6.4

Answer:

275

Step-by-step explanation:

Answer:

Letter c

Step-by-step explanation:

You are distributing the 7 to each term in the parentheses.  

7(8x) is 56 x

Here is the tricky part.  You can think of it a couple of ways:

7(-4y) = -28y  a positive times a negative is a negative.

or 7(4y) = 28 , but then remember that you are subtracting so it will become  -28

7(6) = 56

56x - 28y +42

Answer:

c.) 7(8x - 4y + 6)

Step-by-step explanation:

if we solve 7(8x-4y+6), we get;

56x-28y+42

Answer: There is 5 non blue sock in Josh's drawer

Step-by-step explanation:

The denominator shows the total of nonblue and blue socks. So there are 7 non-blue and blue socks in the drawer after he removes 3 non blue socks.To find how many non-blue where in the drawer originally you need to find how many non blue are in the draw after removing the three. So you subtract 7 from 5 which gives you 2. So there are 2 non-blue socks in the drawer after removing the three. Now you need to find how many non-blue were there before he removed the three. So add the 3 non blue socks that he removed to the two that were there after which gives you five.

Answer:

A) The median is one of the values listed in the table

Step-by-step explanation:

The median is the middle number in an ordered data set. Since the number of date in the table is a even number, both 75 and 76 is the middle number.  To find the median of an set of data that has an even number of sets, you just add the 2 middle numbers together and divide by 2. So like:

75+76=151

151/2=75.5

75.5 is the median but its not listed in the table, so A.