Factor the following trinomial completely, or state that the trinomial is prime.
3x^2+10xy + 8y^2

Factor The Following Trinomial Completely, Or State That The Trinomial Is Prime.3x^2+10xy + 8y^2

Answers

Answer 1

Answer:

(3x + 4y)(x + 2y)

Step-by-step explanation:

3x^2+ 10xy + 8y^2

All signs are positive, so we'll only look at positive factors of 3 and 8.

3 factors into 3 and 1.

8 factors into 4 and 2, and it also factors into 8 and 1.

I like to try closer factors in value, so I'll start with 4 and 2 for 8.

Try:

(3x + 2y)(x + 4y) = 3x^2 + 12xy + 2xy + 8y^2 = 3x^2 + 14xy + 8y^2

The middle term does not work. Switch 2y and 4y and try again.

Try:

(3x + 4y)(x + 2y) = 3x^2 + 6xy + 4xy + 8y^2 = 3x^2 + 10xy + 8y^2

It works.

Answer: (3x + 4y)(x + 2y)


Related Questions

(b) Factorise fully 9b-3b squared

Answers

Answer:

Step-by-step explanation:

b(9-3)

Kalinda is 68.7 inches tall and wants to know how many inches taller she is than Terrence. If t represents Terrence's height in inches, which expression can she use to find the answer? 68.7 minus t StartFraction t Over 68.7 EndFraction StartFraction 68.7 Over t EndFraction t minus 68.7

Answers

Answer:

68.7 - t

Step-by-step explanation:

Here, we are interested in giving the expression that Kalinda can use to know the difference in height between her and Terrence

From the question, Kalinda is 68.7 inches tall while Terrence is t inches tall

To know the difference in their heights, we simply subtract Terrence’s height from Kalinda’a

Mathematically, that would be 68.7 - t

Answer:

Its A

Step-by-step explanation:

Gabriella had some candy to give to her four children. she first took seven pieces for herself and then evenly divided the rest among her children. each child received two pieces. with how many did she start with
A) 15
B)13
C)16
D)30

Answers

She first too n7 then give each kid 2
Soo 4x2=6 then we add the other 7 the mom took and it’s 13 so b is your answer:)

Answer:

The answer is 15

Step-by-step explanation:

because it is 2 two each child and there are four and the mom has 7

Question 8
Identify the hypothesis and conclusion of each conditional statement.
If you take a class in television broadcasting, then you will film a sporting event.
Your answer:
H: If you take a class in television broadcasting, then you will film a sporting event.
C: true
H: If you take a class in television broadcasting, then you will film a sporting event.
C: false
H: you take a class in television broadcasting
C: you will film a sporting event
H: you will film a sporting event:
C: you take a class in television broadcasting
Clear answer
Back
Next

Answers

Answer:

  third choice of those listed here

Step-by-step explanation:

Match the given statement to the pattern:

  if H, then C.

__

  If you take a class in television broadcasting, then you will film a sporting event

You should be able to see ...

  H: you take a class in television broadcasting

  C: you will film a sporting event

3x+2(5x-3)=7
with steps

Answers

Answer: x=1

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x+2*(5*x-3)-(7)=0

3x + 2 • (5x - 3)) - 7 = 0

Pull out like factors :

13x - 13 = 13 • (x - 1)

13 = 0

A a non-zero constant never equals zero.

Solve : x-1 = 0

Add 1 to both sides of the equation :

x = 1

What is the slope of the line 2x - 5y = 9

Answers

Answer:

2/5

Step-by-step explanation:

Answer:

m

=

2

5

Step-by-step explanation:

Scott borrowed money from the bank for repairs at an 8% interest rate, At the end of 1 year, he owed a total of $7992 in principal and interest. How much money did he borrow? a) Write the model first b) solve the equation.

Answers

Answer:

I = $3,772, P = $8,200, r = ?, t = 4 years

Step-by-step explanation:

just got it right on my quiz

The interest is: $639.36 I believe, hope it helps!



If x = 35°, which two lines can be proven parallel?
A) n and d
B) I and m
C) m and o
D n and o

Answers

Answer:

n and o

Step-by-step explanation:

Because those 35 and x are corresponding angles and they are lying on line n and o.

Hope this helped!

N and o hope this helps

Are the expressions –0.5(3x + 5) and –1.5x + 2.5 equivalent? Explain why or why not.​

Answers

Answer:

It is

-0.5(3x+5)= -1.5x+2.5

Step-by-step explanation:

-0.5(3x+5)

multiply-0.5 with 3x and 5 to get rid of the brackets.

-0.5×3x= -1.5x

-0.5×5= 2.5

-1.5x+2.5

Answer:

Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.

Step-by-step explanation:

WILL MARK AS BRAINLIEST
Solve the following equation and then check your solution. Show all of your work.
-17+n/5=33

Answers

Answer:

n = 250

Step-by-step explanation:

-17 + [tex]\frac{n}{5}[/tex] = 33

[tex]\frac{n}{5}[/tex] = 33 +17

[tex]\frac{n}{5}[/tex] = 50

([tex]\frac{5}{1}[/tex]) ([tex]\frac{n}{5}[/tex]) = 50 *(5)

n = 250

check: -17 + [tex]\frac{250}{5}[/tex] = 33

-17 + 50 = 33

33 = 33

please I need help is for today
Begin to formulate statistical questions based on your Food Habits data ( my food are takis and Hershey's chocolate chips)
1 simple (one-variable)
2 complex (two or more variables)
it would be 3 questions in total

Answers

1-What is the recommended serving for the Hershey’s chocolate chips
2- compare the 2 foods in terms of calories and fat and which is the “healthier” option

Answer:

I honestly don't know?????? but I know some but I can't see the word clearly???!

factorize: (2a+b)^3+(a+2b)^3​

Answers

Answer:

9(a+b) x (a²+ab+b²)

Step-by-step explanation:

expand the brackets collect like terms remove the brackets collect like terms factorise reorder the terms multiply

Which of the following functions is graphed below?​

Answers

Answer:

the answer is b

Step-by-step explanation:

hope this helps love:) i'm doing this rn in algebra..it's a pain!

A ferris wheel has a diameter of 80 meters. How far does a rider travel in one complete rotation around the ferris wheel?

Answers

Given parameter:

Diameter of the ferris wheel  = 80m

Unknown:

Distance covered in one complete rotation = ?

Solution:

One complete rotation will sweep through the circumference of the wheel.

So,

  One complete rotation = Circumference of circle  = 2 [tex]\pi[/tex] r

Where r is the radius;

         Radius here is [tex]\frac{80}{2}[/tex]  = 40m

So circumference = 2 x [tex]\pi[/tex] x 40 = 80[tex]\pi[/tex]

The distance the wheel sweeps through will be 80π m

The graph shows a proportional relationship. Which equation matches the graph?

Answers

Answer is y=2x because when you look at graph it’s clear

Answer: y=2x

Step-by-step explanation:

0.6 + 0.008 + 0.0007 in standard form?

Answers

Answer:

0.0687

Explantion:

0.0007

  0.008

       0.6 +

____________

   0.0687

PLZ HELP I WILL MARK BRAILNLEIST!! 20. b) Find the side length of the square. [No label is required.] *
1 point
2x + 5 ft
6x – 11 ft
Your answer
This is a required question

Answers

Answer:

The length of one side is 13 feet.

Step-by-step explanation:

To start, a square is 4 sides that are equal in length. This means that when you have a problem like this, you need to set the equations equal to each other like:

[tex]2x+5=6x-11[/tex]

In order to solve a problem like this, with the same variables on different sides, start by subtracting the smaller variable from both sides. In this case, you would be subtracting 2x from both sides, which would leave us with:

[tex]5=4x-11[/tex]

After that, you solve it like a normal one-step equation. Add 11 to both sides.

[tex]16=4x[/tex]

Now, divide both sides by 4 and you will know how much [tex]x[/tex] is worth.

[tex]4=x[/tex]

Now that we know how much [tex]x[/tex] is worth, we can plug that into either of the equations given to us. It doesn't matter which since they are equal to each other.

[tex]2(4)+5[/tex]

That would give us 13.

Answer:

the sides are 13

x= 4

Step-by-step explanation:

2x+5 = 6x-11     subtract five from both sides

2x = 6x-16        subtract 6x from both sides

-4x = -16           divide both sides by -4

x = 4                substitute into original problem

2(4) + 5 = 6(4) - 11

8 + 5 = 24 - 11

13 = 13

Question 1 options:
m∠A = _____˚

m∠B = _____˚

m∠C = _____˚

m∠X = _____˚

m∠Y = _____˚

m∠Z = _____˚

Segment AB = _____ units

Segment BC = _____ units

Segment AC = _____ units

Segment XY = _____ units

Segment YZ = _____ units

Segment XZ = _____ units

Answers

Given:

Two triangles are congruent, i.e., [tex]\Delta ABC\cong \Delta XYZ[/tex].

To find:

All the measures of both triangle.

Solution:

We have,

[tex]\Delta ABC\cong \Delta XYZ[/tex].

We know that, corresponding parts of congruent triangles are congruent (CPCTC).

[tex]\angle A=\angle X[/tex]

[tex]\angle B=\angle Y=90^\circ[/tex]

[tex]\angle C=\angle Z=37^\circ[/tex]

It triangle ABC,

[tex]\angle A+\angle B+\angle C=180^\circ[/tex]     (Angle sum property)

[tex]\angle A+90^\circ+37^\circ=180^\circ[/tex]

[tex]\angle A+127^\circ=180^\circ[/tex]

[tex]\angle A=180^\circ -127^\circ[/tex]

[tex]\angle A=53^\circ[/tex]

So,

[tex]\angle A=\angle C=53^\circ[/tex]

[tex]AB=XY=3\text{ units}[/tex]

[tex]BC=YZ=4\text{ units}[/tex]

[tex]AC=XZ=5\text{ units}[/tex]

Therefore, m∠A = 53˚,  m∠B =90˚ , m∠C =37˚ , m∠X = 53˚,  m∠Y =90˚ , m∠Z =37˚ , Segment AB = 3 units , Segment BC = 4 units , Segment AC = 5 units , Segment XY = 3 units , Segment YZ = 4 units , Segment XZ = 5 units .

Determine the amount of potential energy of a 5.0 N book that is moved to three different shelves on a bookcase. The height of each shelf is 1.0m, 1.5m and 2.0m.

Answers

Answer:

Ep = weight x height = 5 x 1 = 5N ; 5 x 1.5 = 7.5N; 5 x 2 = 10N

Step-by-step explanation:

Hope that helps

HELPPPPPPP PLEASEEEEE

Answers

Answer:

D

Step-by-step explanation:

The constant of proportionality is 8 as seen by the equation:

y = 8x

8 will constantly be multiplied by x (the number of dollars earned) to solve for y (number of tickets sold)

The number 8 will not change

Therefore, 8 is the constant ot proportionality


Angles 1 and 5 are what type of angle pair? *

Answers

Answer:

Angle 1 and Angle 5 are corresponding angles

Step-by-step explanation:

Two angles that lie on the same side of the transversal in corresponding positions.

PLZ mark BRAINLIEST

Hello, have a nice day. Also stay safe!

The formula V=BH/3 shows how to find the volume of a pyramid. SOLVE for B.
A B=3V/H
B) B=3VH
B=3V-H
D B=3V+H

Answers

The answer is A, you multiply 3 and V then divide by H

What does x equal to?

Answers

Answer:

Step-by-step explanation:

La X: En matemáticas la x hace referencia a una incógnita o variable. Variable quiere decir que puede tomar un valor específico dentro de conjunto. Por ejemplo, si tenemos "X+1=3" con X que pertenece al conjunto de los números enteros, la X toma el valor exacto de 2 del conjunto de los enteros.

3n + 6 = 18. What is the value of n

Answers

Answer:

n=4

Step-by-step explanation:

Sally has saved 41 quarters from washing cars. How many cents does Sally have ?

Answers

Answer:

Sally has $10.25 or 1,025 pennies

Step-by-step explanation:

Wyoming has 63,791 fewer people than Washington DC has. What is the population of Washington DC? Wyoming has 582,658 people total.​

Answers

Answer:646449

Step-by-step explanation:You can use a calculator if Wyoming has 63781 fewer people than Washington you have to add that number to Wyoming’s population to get Washington’s

Which Reason would be used to relate the named angles?

Corresponding Angles
Alternate Interior Angles
Same Side Interior
O None of the above

Answers

Same side interior

You can see both j and p are on the inside so they are interior angles. If you look further you can see they are both on the same side therefore they are same side interior.

write the given equation of the line that passes through the given points
(4,0) and (0,2)​

Answers

Answer:

y= -1/2x + 2

or y = -0.5x + 2

Step-by-step explanation:

Use the slope formula to get the slope:

(y2-y1)/ (x2-x1)

(2-0)/(0-4)

2/-4

-1/2

Plug in any point in Point-Slope Formula:

y - y1 = m(x-x1)

y- 0 = -1/2 (x -4)

y = -x/2 + 4/2

y= -1/2x + 2

I need the answer ASAP

Answers

Answer:

i just did this in class a week ago and i think it was option c

Step-by-step explanation:

What is the value of 19,356 ÷ 59?

Answers

Answer:

Approximately 328.067

Step-by-step explanation:

The value of 19,356 ÷ 59 is approximately 328.068.

Full Answer: 328.06779661

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