Which of the binomials below is a factor of this expression?

49x^2 + 28xy + 4y^2

A. 7x + 4y

B. 7x + 2y

C. 7x - 2y

D. 7x - 4y

Which Of The Binomials Below Is A Factor Of This Expression? 49x^2 + 28xy + 4y^2A. 7x + 4yB. 7x + 2yC.

Answers

Answer 1

Answer:

B. 7x+2y

Step-by-step explanation:

[tex]49x^2+28xy+4y^2\\\\=(7x)^2+2\cdot 7x \cdot 2y + (2y)^2\\\\=(7x+2y)^2\\\\=(7x+2y)(7x+2y)[/tex]


Related Questions

PLEASE HELP
The graph of g(x)=3x^2+bx-24 has the same x-intercepts. what is the value of b?

(A) -6

(B) 14

(C) -2

(D) 1

Answers

The value of b so that 3 · x² + b · x - 24 has the same x-intercepts (only one x-intercept) is 12 √2.

How to determine a missing coefficient in a second order polynomial

Second order polynomials are represented graphically by parabolae and it may have two, one or no x-intercepts. The quantity of x-intercepts can be deducted from the discriminant of the quadratic formula, which is defined below:

For a · x² + b · x + c = 0, the discriminant is defined by:

d = b² - 4 · a · c   (1)

There are three rules to determine the number of possible intercepts:

If d < 0, then there are no x-intercepts.If d = 0, then there is only one x-intercept.If d > 0, then there are two x-intercepts.

Then, we have to find a value of b so that (1) has the following form:

b² - 4 · 3 · (-24) = 0

b² - 288 = 0

b = 12√ 2

The value of b so that 3 · x² + b · x - 24 has the same x-intercepts (only one x-intercept) is 12 √2. [tex]\blacksquare[/tex]

Remark

The answer choices do not correspond with the given statement, the phrase "same x-intercepts" may lead to confusion and possible graph cannot be found. A possible corrected statement is shown below:

The graph of g(x) = 3 · x² + b · x - 24 has only one x-intercept. What is the value of b?

To learn more on parabolae, we kindly invite to check this verified question: https://brainly.com/question/10572747

Answer:

Step-by-step explanation:

A ball follows a path described by the function h(x) = -3x^2 +12x +14 where h(x) is the height of the ball after x seconds. After how many seconds will the ball be at its
highest point?

A. 1 second
B. 2 seconds
C. 3 seconds
D. 4 seconds

Answers

Answer:

3

Step-by-step explanation:

What is the value of X?
Sin 55° = cos X.
Enter your answer in the box.

Answers

Answer:

x = 35°

Step-by-step explanation:

sin x = cos (90° - x)

sin 55° = cos (90° - 55°)

sin 55° = cos 35°

x = 35°

After plotting the data where x=the side of a polygon, and f(x) = the area of the polygon, Jack used technology and
determined the appropriate model to approximate the area of the polygon, F(x) = x^2 + 3x + 2. Use the model Jack
created to predict the area of a polygon that has a side length of 3.

10
18
19
020

Answers

Answer: 19

Step-by-step explanation:

As per the model created by Jack; f(x) determines the area and x represents length so f(3) = 9+9+1

Therefore, f(3) = 19

What is the area of the figure shown delow?

Answers

Answer:

160mm2 is the correct answer

Step-by-step explanation:

Giving brainliest to people who get this right

Answers

Answer:

A

Step-by-step explanation:

If y is a function of x, then the equation for y would be y=Ix(+or-or*or%) to nI

For this specific event, the proper equation would be y=Ix-0.5I

Breaking down this equation, y equals the absolute value of x-0.5.

So if x was 2, it would go as y=I2-0.5I where y equals 1.5.

6. Roughly what percent of the US
flag is red?

Answers

Answer:

about 14 percent but the exact is 14 3

the red part takes up exactly 41.5% of the US flag. so roughly 41 percent?

extra info: the white is 40.9% and the blue is 17.6%

i hope this helps you!:)

Solve: 101x-99y=103
-99x+101y=-97

Answers

Answer:

[tex]x=2; y=1[/tex]

Step-by-step explanation:

Let's remember that if we replace one equation in a system with a linear combination of the equations (ie adding or subtracting them together, after multiplying them with some nice numbers) we are left with an equivalent system. So let's add and subtract them together, and use the new equations to work with.

[tex]I+II: 2x+2y=6\\I-II:200x-200y=200[/tex]

Better, now let's simplify the expression and let's use the new system

[tex]x+y=3\\x-y=1[/tex]

Done. At this point you can use whatever method you like to solve the system to get to the final solution. Adding and subtracting works great, and you get [tex]x=2, y=1[/tex] which, if you check by replacing in the original, is indeed a valid solution.

Martina is ordering an ice cream dessert. She must order a size and a flavor of ice cream. There are 4 sizes and 2 flavors to choose from. How many different
cream desserts could she order?

Answers

Answer: 8.

Step-by-step explanation: There are 4 sizes, so let's say that the sizes are small, medium, large, and extra large.  There are 2 flavors, so let's say that the flavors are chocolate and vanilla.  The possible combinations are below:

Small chocolateMedium chocolateLarge chocolateExtra large chocolateSmall vanillaMedium vanillaLarge vanillaExtra large vanilla

As you can see, there are 8 possible combinations that she can choose from as far as 4 sizes and 2 flavors go.

Have a great day! :)

How many square meters are there in a floor that is 9 meters long by 12 meters wide?

99
108
109
117

Answers

Answer:

108

9×12

Step-by-step explanation:

please mark me as brainlest

Which pair shows equivalent expressions?
2x + 10 = -2(x-5)
-2(x+5) = 2x-10
-2x-10 = -2(x+5)
-2(x-5) = -2x-10

Answers

Answer:

The 3rd equation, -2x-10 = -2(x+5)

Step-by-step explanation:

Equivalent expressions means both sides of the equal sign equal the same thing

To find which ones are equivalent expressions, we must solve/simplify both sides of each equation to see if they're actually equal to each other

We will use PEMDAS for this

1. 2x + 10 = -2(x - 5)

Start with Parentheses, and distribute the -2 to what's inside said parentheses

2x + 10 = -2x + 10

Not equal

2. -2(x+5) = 2x-10

Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses

-2x - 10 = 2x - 10

Not equal

3. -2x-10 = -2(x+5)

Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses

-2x - 10 = -2x - 10

Equal

4. -2(x-5) = -2x-10

Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses

-2x + 10 = -2x - 10

Not equal

What is the value of the unknown?
4x?+ ?= -2x?

Answers

Answer:

If the whole transaction is written separately from the beginning, an algebraic equation is obtained

Step-by-step explanation:

[tex]4x = s[/tex]

[tex] - 2x = w[/tex]

[tex]w \times s = - 8 {x}^{2} [/tex]

[tex]w = s = s \times s = 16 {x}^{2} [/tex]

[tex] - 8 {x}^{2} + 16 {x}^{2} = 8 {x}^{2} [/tex]

This is the way to get the answer

can someone help me answer this question?

Answers

check picture uploaded to see steps

children = 201

adults = 277

The distance between the points (1,2) and (x,-1) is 5 units. Find the possible values of x​

Answers

Answer:

-3,5

Step-by-step explanation:

[tex]d = \sqrt{(x _{2} - x _1) {}^{2} + (y _{2} - y _{1} {} ) {}^{2} } [/tex]

[tex]5 = \sqrt{(x - 1) {}^{2} + ( - 1 - 2) {}^{2} } [/tex]

[tex]5 = \sqrt{(x - 1) {}^{2} + ( - 3) {}^{2} } [/tex]

[tex]25 = (x - 1) {}^{2} + 9[/tex]

[tex]16 = (x - 1) {}^{2} [/tex]

[tex]4 = x - 1[/tex]

[tex]x = 5[/tex]

Or

[tex] - 4 = x - 1[/tex]

[tex]x = - 3[/tex]

If tanθ= 2/5 find cosθ using identities. This is in quad. 1.

Answers

Answer: 5/2

Step-by-step explanation:

Can someone help me!

Answers

Answer:

Top left.

Step-by-step explanation:

A school's principal wanted to give a special 'Good Luck' pencil for each student in the fifth grade. If there are 105 kids in the fifth grade, and there are 12 pencils in each box, how many boxes will he need to buy?

Answers

To find the number of boxes divide the total kids by number of pencils in each box. Here 105/12 leaves remainder. It means still kids are left over. So add 1 to the quotient
105/12= 8 and remainder is 9.
So add 1 to the quotient 8 which is 9
Total pencil boxes = 9

Estimate f(4.04) for f as in the figure

Answers

Answer:

2.013  to 3 DP's.

Step-by-step explanation:

f(4.04)  will be very close to the tangent line.

Equation of tangent line

is y - 4 = m(x - 10)

m = (4-2) / (10-4) = 1/3

y - 4 = 1/3(x - 10)

y = 1/3x - 10/3 + 4

y = 1/3x + 2/3

So the require estimate of f(4.04)

= 1/3(4.04) + 2/3

= 2.013333

least to greatest 52, 63, 55, 56, 62, 54, 59, 60, 53, 61, 88

Answers

Answer:

52, 53, 54, 55, 56, 59, 60, 61, 62, 88

Step-by-step explanation:

You need to start from 52 to 88 (least to greatest) and then you will get answer.

Given g(x)
-2 – 2, find g(-3).
Answer:

Answers

The calculation of the function given shows that since g(x) = -2x² - 9, the value of g(3) will be -27.

How to calculate the function?

From the complete function, it should be noted that the value of g(x) = -2x² - 9.

Therefore, the value of g(3) will be calculated thus:

= -2(3)² - 9

= -2(9) - 9.

= -18 - 9

= -27

In conclusion, g(3) is -27.

Learn more about function on:

https://brainly.com/question/25638609

2. Find the length of AD if the length of AB is 14 units, the length of BC is 5 units, and the length of CD is 8 units,​

Answers

Answer: sqrt(285)

Step-by-step explanation:

The accompanying diagram show a cross-section of a rectangular pyramid. The cross sectional area is 36in and is 3 inches from the vertex of the pyramid. If the height of the pyramid is 5 inches, what is the area of the rectangular base?

Answers

The area of the rectangular base is the amount of space on the rectangular base

The area of the rectangular base is 60 square inches

How to determine the area of the rectangular base?

The question is incomplete; as the diagram is not given.

So, I will apply the concept of similar shapes to determine the area of the rectangular base

To determine the area of the rectangular base, we make use of the following equivalent ratio:

Ratio = Height : Area

This gives

3 : 36 = 5 : Area

Express as fraction

36/3 = Area/5

Evaluate the quotient

12 = Area/5

Multiply both sides by 5

Area = 60

Hence, the area of the rectangular base is 60 square inches

Read more about areas at:

https://brainly.com/question/24487155

What happens to the coordinates of a shape when the shape reflects about the x-axis? What happens to the
coordinates when the shape reflects about the y-axls? Explain.

Answers

Hey there!

Here's what happens to the coordinates of a point when it's reflected around the x-axis:

(x, y) --> (x, -y) or (x, -y) --> (x, y)

So the point's x-coordinate hasn't changed.

Here's what happens to the coordinates of a point when it's reflected around the y-axis:

(x, y)--> (-x, y) or (-x, y) --> (x, y)

So the point's y-coordinate hasn't changed.

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

9
Emily drives 186 miles in 3 hours.
(a) What is her average speed?

Answers

Answer:

Her average speed would be 62 mph.

Step-by-step explanation:

Step 1. Do 186 divided by 3
Step 2. The answer you would get is 62
Step 3. Label to get 62 miles per hour (mph)
I hope that this helps! :)

Step-by-step explanation:

Displacement = 186 miles

Time taken = 3hours

Average speed = ?

Now,

[tex]average \: speed = \frac{total \: distnce}{total \: time \: } \\ = \frac{186}{3} \\ [/tex]

= 62 miles per hour

Can the sides of a triangle have lengths 2, 6, and 7?

Answers

Answer:

Yes

Step-by-step explanation:

The third largest side is 7 and the other two sides added are bigger than seven.

2 + 6 = 8

Is this answer accurate?

Your gross pay is $1,878.96, net income is $1,196.34, and fixed expenses are $1,338.54. What is your discretionary income?

$142.20

You have a deficit of $142.20.

You have a deficit of $540.42.

Answers

Answer:

You have a deficit of $142.20

Step-by-step explanation:

Given

Gross pay = $1,878.96Net income = $1,196.34Fixed expenses = $1,338.54

Solving

discretionary income = net income - fixed expenses= 1196.34 - 1338.54= -142.20Deficit of $142.20


A minibus drives with a constant speed
of 32 km/h. How long will it take to travel
a distance of 80 kilometers?

Answers

Given Information :-

A minibus drives with a constant speed of 32 km/hr

To Find :-

Time taken to travel a distance of 80 kilometers

Formula Used :-

[tex] \qquad \star \: \red{ \underline{ \boxed{ \sf Time = \dfrac {Distance} {Speed} }}} \: \star[/tex]

Solution :-

Putting the values in the formula, we get,

[tex] \sf \longrightarrow Time = \dfrac{80 }{32} \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Time = \cancel{\frac{80}{32} } \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Time = \dfrac{10}{4} \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Time = 2.5 \: hrs \\ \\ [/tex]

Thus, the time taken to travel 80 km with that speed is 2.5 hours.

[tex] \underline{ \rule{227pt}{2pt}}[/tex]

Martin is an artist who molds plaster into unique shapes.
How much plaster can Martin fit into the mold shown?

Answers

Step-by-step explanation:

the volume of this object is the sum of the volume of the 2 blocks.

the large block is a cube of 4×4×4 = 64 ft³

the small block is 1×1×2 = 2 ft³

so, in total, he can fit 64+2 = 66 ft³ of plaster into the mold.

Problem 1: Verify whether these two functions are inverses: (x + 5) f(x) = (2x + 1) and g(x) = (5 - x) (2x - 1) What is g(x))? Use your keyboard and the keypad to enter your answer. Then click Done

Answers

g(f(x)) = x

What is inverse function?

An inverse function is defined as a function, which can reverse into another function.

[tex]f(x)= \frac{(x + 5)}{(2x + 1)}[/tex]

[tex]g(x)= \frac{(5 - x)}{(2x - 1)}[/tex]

 [tex]g(f(x))=g( \frac{(x+5)}{(2x +1)})[/tex]

Substitute the value of f(x),

[tex]g(f(x))= \frac{(5 - \frac{(x + 5)}{(2x + 1)})}{(2 \frac{(x + 5)}{(2x + 1)} - 1)}[/tex]

[tex]g(f(x))= \frac{\frac{10x+5-x-5}{2x+1} }{ \frac{2x+10-2x-1}{2x+1}}[/tex]

[tex]g(f(x)) = \frac{9x}{9}[/tex]

g(f(x)) = x

Hence, g(f(x)) = x

Learn more about inverse function

https://brainly.com/question/2541698

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Problem
* Henry has many different screwdrivers. Each screwdriver is 6 inches long. He wants to make a line of
screwdrivers that is 1 yard long. How many screwdrivers will Henry need?

Answers

Answer:

Henry will need 6 screwdrivers.

Answer:

Henry will need 6 screwdrivers.

Step-by-step explanation:

[tex]1yard = 36inches\\\frac{36inches}{6inches/screwdriver} = 6screwdrivers[/tex]

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