factor the expression below.
25x^2+20x+4
a. (5x+2)(5x+2)
b. (25x-2)(x-2)
c. (5x-2)(5x-2)
d. (25x+2)(x+5)

Answers

Answer 1

9514 1404 393

Answer:

  a. (5x+2)(5x+2)

Step-by-step explanation:

You will recognize that the first (25x^2) and last (4) terms are perfect squares. The middle term is double the product of the roots of those squares:

  2(5x)(2) = 20x

This means the given expression is a perfect square trinomial, and that it is the square of (5x+2). This matches the first choice.

  25x^2 +20x +4 = (5x +2)^2 = (5x +2)(5x +2)

_____

Generically, ...

  (a +b)^2 = a^2 +2ab +b^2

Here, we have a=5x, b=2.


Related Questions

7. Use GeoGebra to find the solutions to the following system of equations.
y = -3(x - 2)^2 + 5
y = 2x – 4
Solutions: x = ( , )
Insert a picture of the graph below:

Answers

Answer:

the graph is attached. i put two screenshots because i dont know which one you would prefer to use :)

Step-by-step explanation:

PLEASE ANSWER ASAP !!!!

Answers

Positive infinite I believe

A triangle has side lengths of 23 in, 6 in, and 28 in. classify it as acute right or obtuse

Answers

An obtuse triangle, your welcome

Answer:

In this case, the side lenghths don't even form a triangle. Since that is not an option, the triangle would be acute.

Step-by-step explanation:  

if c^(2 )> a^(2)+b^(2) then the triangle is obtuse.

if c^(2 )< a^(2)+b^(2) then the triangle is acute.

if c^(2 )= a^(2)+b^(2) then the triangle is right

Hope this helps :)

Factorise the following 15xy - 24x squared please

Answers

3x(5y-8) hope this helps

What is the measure of angle 1?

60
125
45
120

Answers

Answer:

120 degrees

Step-by-step explanation:

i need help on my math i wasn't there that day my class did it

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Answer:

(a-4)x-b+9

Step-by-step explanation:

hope this helps

i’m sorry, why weren’t you at school sonny boy

2+2=?
What does it equal

Answers

Answer:

4

Step-by-step explanation:

2 + 2 = 4

2 + 2 equals 4


Other answers: 22, fish

Solve. 7x - 3 = 4x + 3​

Answers

Answer:

3x=6

x=2

answer of this question

Jennifer bought a picture frame for 3x5 picture. The frame is of uniform width. The picture and the frame together cover an area of 25in^2. Find the width of the frame.

Answers

Answer:

ntnfhxuzhsbbr

Step-by-step explanation:

rnrnr rbdjuddijsj

Samantha's office recycled a total of 4.3 kilograms of paper over 4 weeks. How many weeks will it take Samantha's office to recycle a total of 19.35 kilograms of paper?

Answers

Answer:

18 weeks

Step-by-step explanation:

Calculation for How many weeks will it take Samantha's office to recycle

Based on the information given we would be using one relationship to solve for another

(4.3 kilograms / 4 weeks) = (19.35 kilograms / x weeks)

Now let calculate How many weeks will it take Samantha's office to recycle by solving for x

x=[(19.35 kilograms) (4 Weeks)] /4.3 kilograms

x=77.4/4.3 kilograms

x = 18 weeks

Therefore How many weeks will it take Samantha's office to recycle a total of 19.35 kilograms of paper will be 18 weeks.

plz help and show me the steps so I know how to do this!! thank you!!

Answers

Answer

6th of the power of 1 would be 5th power

Step-by-step explanation:

25 points
What is the measure of A?

What is the measure of B?

Answers

<A = 72°

<B = 108°

Explanation :

<A = <C

(5y - 3)° = (3y + 27)°

5y-3y = 27 + 3

2y = 30

y = 15

<A = (5y - 3)°

<A = (5 x 15) - 3

<A = 75 - 3

<A = 72°

<B + <A = 180°

<B + 72° = 180°

<B = 180° - 72°

<B = 108°

Cristina realizo sus pagos con su tarjeta de crédito, si el primero fue de 5.500.000 y el segundo por 3. 750 000

Answers

Answer:

Ver explicación

Step-by-step explanation:

La pregunta carece de detalles. Sin embargo, una posible pregunta podría ser calcular el total de pagos realizados con su tarjeta de crédito.

Para hacer esto, simplemente sumamos los dos pagos.

[tex]Pago\ 1 = 5,500,000[/tex]

[tex]Pago\ 2 = 3,750,000[/tex]

Entonces tenemos:

[tex]Total = Pago\ 1 + Pago\ 2[/tex]

[tex]Total = 5,500.000 + 3,750,000[/tex]

[tex]Total = 9,250,000[/tex]

(x + 3)2(x - 1)
is s
(x + 2)2
Determine the solutions to the following inequalities

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Lydia is at a coffee shop and knows she can spend no more than $65 before tax. She sees this price list in the coffee shop. Write a number in each blank to complete an inequality Lydia can use to find how many pounds of Pumpkin Spice coffee, p, she can buy along with 2 pounds of Dark Roast coffee.

Answers

Price chart :

Item Price per pound

Dark Roast Coffee $7.50

Pumpkin Spice Coffee $10.50

Breakfast Tea $23.50

Answer:

Step-by-step explanation:

4

Maximum amount to spend ≤ 65

Cost of dark roast coffee = $7.50

2 dark roast coffee= $7.50 * 2 = $15

Pumpkin Spice + dark roast ≤ amount to spend

Let pumpkin spice = x

Cost of pumpkin spice = $10.50

Dark Roast Coffee = y

10.50x + 2* 7.50 ≤ 65

10.50x + 15 ≤ 65

10.50x ≤ 65 - 15

10.50x ≤50

x ≤50 / 10.50

x ≤ 4.76

Number of pumpkin spice coffee that can be purchased is 4.

If a bank offers a savings that pays simple interest rate of 3% and you deposit $550.00 into the account, how much interest will you have earned after 2 years ?

Answers

Answer:

SI=P*T*R/100

=550*3*2/100

=$33

what is 3 and 1/5 as a decimal

Answers

Answer:

3.2

Step-by-step explanation:

1/5=0.2

3 + 0.2 = 3.2

HELP SOMEONE PLEASE IGHHH

Answers

Answer:

the food processor its losing 1610 dollar of its value per year

What’s the answer ???

Answers

Answer:

Option 2  [tex]\frac{4\sqrt{6} }{3}[/tex]

Step-by-step explanation:

[tex]\frac{4\sqrt{2} }{\sqrt{3} } = \frac{4\sqrt{2} \sqrt{3} }{\sqrt{3}\sqrt{3} } = \frac{4\sqrt{6} }{3}[/tex]

Find the value of X round to the nearest 10th law of cosines.

Answers

Image of triangle is missing, so i have attached it.

Answer:

x = 18

Step-by-step explanation:

From the diagram attached, we can see that the 3 given sides have dimensions of x, 16 and 30.

Also, we see the angle opposite the dimension of x is 30°

Thus,we can use law of cosine to fjnd the value of x. Thus:

x² = 16² + 30² - 2(16 × 30)cos 30

x² = 256 + 900 - (960 × 0.866)

x² = 324.64

x = √324.64

x = 18.02

Approximating to the nearest tenth gives; x = 18

6th grade math help me pleaseee

Answers

Answer:

undefined, or d

Step-by-step explanation:

the slope would be vertical, therefore making it undefined

Krutika was thinking of a number. Krutika halves the number and gets an answer of 86. Form an equation with x from the information.
PLEASE SOMEONE HELP!!!!

Answers

X divided by 2=86

X=172

LE{LLEASE HELP THIS IS duE IN AN HOUR
Tony and tiffany collect semi-precious stones at the rockhound ht tiffany paid $38 for 9 pounds of snowflake obsidian. at the solid rock shop, tony paid 19 for 3 poi\unds of the same crystal. what id each person pay per pound and who made the better buy

Answers

Tiffany payed $4.22 and Tony payed $6.33. This means that Tiffany made the better buy :)

Are the triangles below obtuse, acute, or right?

Answers

Answer: A is right. B is acute, C is obtuse, and D is right.

Step-by-step explanation:

The right triangles have the square in the corner.

Triangle C is a little bit bigger than a right triangle.

Triangle B is acute because its smaller than a right triangle.

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Answers

Answer:

204

Step-by-step explanation:

The area of the top triangle = 5*12/2 =                        30

The area of the bottom triangle =                                30

The hypotenuse of the top triangle is

5^2 + 12^2 = hypotenuse^2

25 + 144 = hypotenuse^2

169 = hypotenuse squared.

hypotenuse = sqrt(169)

hypotenuse = 13

Now the back face = 13 * 8 =                                       104

The area of the left side rectangular  face = 5*8 =     40

The total area = 30 + 30 + 104 + 40 =                        204

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Answers

I think that the answer is C

Write the equation of the line in slope-intercept form.
PLEASDE HELP ME OUT ASAP

Answers

Answer:

y = 50x + 40

50 = slope

40 = intercept

Solve for x

4x - 14 = 10

x=

Answers

the answer is: x=6
to check, 4(6)-14=10

how many solutions does 9x - 17 = -17 + 9x have

Answers

Answer:

none i think not sure tho

Step-by-step explanation:

I need help pweaseeee

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Answer:

C=1.80g

Step-by-step explanation:

The clear of the gasoline is $1.80 g or c= $1.80 g
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