Is 16x2 - 16x + 4 a perfect square?

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

Use the completing the square method:

16(x^2-x)+4

=16((x-1/2)^2 - (1/2)^2)+4

=16((x-1/2)^2 - 1/4)+4

=16((x-1/2)^2) - 16/4 + 4

=16(x-1/2)^2

=4^2(x-1/2)^2

The product of two square is itself a square.


Related Questions

Classify the number 1/2 into as many categories as it belongs: Natural number, whole number, integer, or rational number.

Answers

Answer:

1/2 is a rational number.

Step-by-step explanation:

A rational number can be expressed as a ratio of two numbers. 1/2 is a ratio.

It is also a real number, however you do not list that as a category, so from what you listed, it is only a rational number.  

Which pair shows equivalent expressions?
A) 2x + 10 = -2(x - 5)
B) -2(x + 5) = 2x - 10
C) -2x - 10 = -2(x + 5)
D) -2(x - 5) = -2x - 10

Answers

Answer:

C)

Step-by-step explanation:

Find the volume of the prism.​

Answers

Answer:

4.375cm

Step-by-step explanation:

You have to look at what volume equals Volume= l×w×h so 3/2 × 5/4 × 7/3

Factor the expression completely.
18x2 - 8
A. 2(3x - 2)(3x - 2)
B. 2(3x + 4)(3x - 1)
C. 2(9x2 - 4)
D. 2(3x + 2)(3x - 2)

Answers

Step-by-step explanation:

18x²-8

= 2(9x²-4)

= 2(3x+2)(3x-2)

18x² - 8

Common factor is 2.

=》18x² - 8

=》2 (9x²- 4) [option C].

_____

RainbowSalt2222 ☔

CAN SOMEONE HELP ME WITH THIS

Answers

Answer:

Step-by-step explanation:

x+15=102

x=87

Solve the following equation : -3(x + 15) + 4 - 5x = 2 + 10x - 7.

Answers

Answer:

Step-by-step explanation:

-3x - 45 + 4 - 5x = 10x - 5

-8x - 41 = 10x - 5

-18x = 36

x= -2

A farmer's field has the dimension shown. He needs to find the area of the field so that he knows how mch seed to buy 1 1/3 and 2 3/4 pls help!!!

Answers

Answer:

area = 3 2/3 units^2

Step-by-step explanation:

1 1/3 x 2 3/4 = 4/3 x 11/4 = 44/12 = 3 2/3 units^2

The Answer for this problem would be 3 2/3

What values did you get for x= -1, 0, 1, 2?

Answers

Confused by what you mean

4bags of cement do 18m2, how many m2 can be done with 7bags?

Answers

Answer:

given 4bags of cement =18m2

1 bags of cement =18/4=4.5m2

7 bags of cement =7*4.5=31.5m2

Divide
(16x²+24xy+9y²)÷(4x+3y)​

Answers

Answer:

if u dont know get lost it is none of our business to answer

If the expression below has a positive value, which in the inequality represents all possible values of x in the expression? -3x. A. X< 0. B. X > 0 C. X ≤ 0. D. X ≥ 0

Answers

Answer:

[tex]x < 0[/tex]

Step-by-step explanation:

Given

The expression is:

[tex]-3x > 0[/tex]

Required

Determine the inequality

[tex]-3x > 0[/tex]

Divide both sides by -3

[tex]\frac{-3x}{-3} > \frac{0}{-3}[/tex]

The inequality sign changes after the division because we're dividing be a negative number (-3).

So, we have:

[tex]x < 0[/tex]

Hence, the inequality is: [tex]x < 0[/tex]

The answer this problem is 15 it’s the correct answer

Answers

Is there any other question that you have??? (preferably one that could be answered)

if anybody could help with this, i can give brainliest

Answers

Answer:

A.

Step-by-step explanation:

He already had 100 into the account so we add that, 25x is derived from the fact that x=the amount of months and 25 is the amount per a month he saves.

The answer is option A

Which description best fits the graph?

A. always increasing
B. increasing, then decreasing
C. always decreasing
D. decreasing, then increasing

Answers

Your answer should be D

Answer:

always increasing

Step-by-step explanation:

When you look at the graph from left to right on the x-axis the y-axis is always increasing in value.

Please help! This is due soon!

Answers

exterior angle=sum of interior angles

so 89+5x-7=14x+1

solve for x and plug the value into 5x-7 and you'll get m

What is the value of x to the nearest tenth?
A 25.7
B. 43.2
C. 88.8
D. 89.7

Answers

b is the answer i believe

PLS PLS PLS HELP 100 POINTS no scamming

Answers

Answer:

parallelogram:

Hexagon:

Triangle:

Step-by-step explanation:

Answer:

uh what is scamming?????

The radius of a circle is 9 millimeters what is the circle area

Answers

Answer:

The answer is 256.34mm^2

Step-by-step explanation:

Radius = 9mm

Area = πr^2

Area = 3.14×(9)^2

Area = 3.14×81

Area = 256.34mm^2

MEASUREMENT A 10-foot-long ladder leans against a wall so that the ladder and the
wall form a 30° angle. What is the distance from the ground to the point where the
ladder touches the wall? Round the answer to the nearest tenth of a foot.

Answers

Well visualize a 10 foot ladder leaning on a wall and how the space from the distance of the wall are gonna form an angle in this question it tells you it forms a 30 degree angle so your gonna go up 10 feet and out how much the angle is on a slant and multiply the two numbers?

the space between is what your determining.

     /l

   /  l < that is the wall

 /    l

/      l

^that is the ladder

the base of an isosceles triangle is 12 cm and its perimeter is 48 cm find its area​

Answers

I hope it helps you ❤️❤️❤️❤️❤️❤️

I don’t understand this at all and it’s due tomorrow! Please help!

Answers

Answer:

5) First you have to find x, then use it with supplementary angles theorem.

6) STQ = 150˚

Step-by-step explanation:

To find x, add (2x+8), (71-x), and 90˚ together to add up to 180˚ (those three angles are supplementary):

(2x+8) + (71-x) + 90 = 180˚

x + 169 = 180

Then solve for x:

x = 11

You can check if x is right by inputing it back into the two equations and see if all three of the angle measures together equal 180˚.

Now, you only need m∠MTS (2x+8) to find m∠STQ...

m∠MTS + m∠STQ = 180˚ because they are supplementary angles.

Input the found x to find m∠MTS:

(2(11)+8) = 30

Subtract 30 from 180 to find m∠STQ:

180 - 30 = 150

m∠STQ = 150˚

Hope this helped :)

4) 3g-10=50
Help asappp

Answers

Answer:

g=20

Step-by-step explanation:

3g−10+10=50+10

3g=60

3g / 3 = 60/3

g=20

Answer is g=20 step by step explanation:

Can i get the correct answer to this please escape rooms are hard
Whoever answers this first gets a brainliest.
I need the answer ASAP and how you solved it.

Answers

Step-by-step explanation:

Volume of Sphere

= 4/3πr³

= (4/3)(3.14)(60/2)³

= 113,040ft³.

The diameter of the sphere is 60 ft

Solution:-

Volume of sphere = 4/3πr³

= (4/3)(3.14)(60/2)³

= 113,040ft³

Answer:-

The volume of the given sphere is 113,040ft³

phoebe and finn are sharing
some pies together, they have
eaten 29/12 of the pies fin ate
mor e pie than phoebe.phoebe
ate mor than 5/6 of a pie what
fraction of pie could phoebe and
finn each have eaten? show 3
combinations

Answers

Answer:

Let's define:

P = pies that Phoebe ate

F = pies that Finn ate

We know that together they ate 29/12 pies, then:

P + F = 29/12

We know that Finn ate more than Phoebe, then F > P.

And we know that Phoebe ate more than 5/6 of a pie, then:

P > 5/6.

Then we have the relations:

P + F = 29/12

P > 5/6

F > P

To find different combinations we can just give one of the variables a value.

We have a direct condition on P, which is:

P > 5/6

So we can just give P any value larger than 5/6 and find the value of F.

For example:

P = 6/6 = 1

Then:

F + 1 = 29/12

F = 29/12 - 1 = 29/12 - 12/12 = 17/12

And 17/12 > 5/6

So we meet the condition F > P.

Then we have the combination:

P = 1

F = 17/12

Now let's find another condition, this time let's use:

P = 5/6 + 1/12 = 10/12 + 1/12 = 11/12

Then:

F + 11/12 = 29/12

F = 29/12 - 11/12 = 18/12

And 18/12 > 11/12

Then we meet the condition:

F > P.

We have the combination:

F = 18/12

P = 11/12

Now for the last combination, we can use:

P = 5/6 + 3/12 = 10/12 + 3/12 = 13/12

Then:

F + 13/12 = 29/12

F = 29/12 - 13/12

F = 16/12

And 16/12 > 13/12

Then we meet the condition F > P

We have the combination:

F = 16/12

P = 13/12.

A triangular pane of glass has a height of 42 inches and an area of 336 square inches. What is the length of
the base of the pane?
PLEASE HELP IM BEGGING

Answers

Answer:

its 16

Step-by-step explanation:

area for a triangle is 1/2 the base times the height.

IN order to find out the base you need to multiply the area by two and then divide by 42 to find the base. X will represent the base

so

336 *2 = 42x

672= 42x

672/42=x

16 = x

Answer: 16

Step-by-step explanation:

help me i don’t understand :(
answer all the questions if you can, but answer what you know please!

Answers

Answer:

Domain: All real values (numbers)

Range: all real values that are less than or equal to 4. [tex]y\leq 4[/tex]

Zeros: x=-2 and x=2 or if you want to write it in an ordered pair, it is (-2,0) and (2,0).

Vertex: (0,4)

Min/Max: 4. or if you want to write in an ordered pair (0,4). In this case, it is a maximum value.

Axis of symmetry: x=0

y-intercept: (0,4)

Step-by-step explanation:

I hope this helps!

What is the volume of this


PLEADR HELP DADT PLSS
container?
56 in?
in.
2 in.
64 in3
in.
4 in.
64 in?
4 in.
56 in3

Answers

Answer:

56 inches cubed

Step-by-step explanation:

First divide into two boxes.

One of them being 1 in by 2 in by 4 in

The second one being 3in by 4 in by 4in

1 X 2 X 4 = 8

3 X 4 X 4 = 48

8+48= 56 in cubed

Answer:

I believe that the answer is 56 in^3

Step-by-step explanation:

If im wrong sorry

In ΔEFG, the measure of ∠G=90°, EF = 38 feet, and GE = 21 feet. Find the measure of ∠E to the nearest degree.

Answers

Answer:

56

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

the Barons have saved $4,725 for a down payment on a house. If a seven and a half percent down payment is required, what price house can they buy? Will mark brainliest​

Answers

Answer :

33075 that the answer

Step-by-step explanation:

4725 multipli 7

$63000
4725/7.5
4725/0.075=63000

in triangle ABC, the measure of

Answers

Answer:

128°

Step-by-step explanation:

As per diagram we have:

∠ECA ≅ ∠DCB - vertical anglesm∠ECA + m∠ABC = 180° - supplementary anglesm∠ECA = 3x + 5m∠ABC = x + 11

Substitute values and solve for x:

3x + 5 + x + 11 = 1804x = 164x = 41

Find the required angle measure:

m∠DCB = 3*41° + 5° = 128°

Answer:

m∠DCB = 3*41° + 5° = 128°

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