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

the distance between the park is 1.7 meters how many meters is this?

Answers

Answer:

1.7 meters?

Step-by-step explanation:

Consider an equilateral triangle that is small enough to fit in your pocket. Now consider an equilateral triangle that is big enough to fill a movie screen! What must be true about the measure of each of the interior angles for these two triangles? Does the size of a triangle influence its angle measures? What about other polygons?

Answers

Answer:

Step-by-step explanation:

First Question: Equilateral triangles all have the same interior angles. 60 degrees. Size does not make the angles bigger. It makes the sides bigger.

Second Question: No the size does not influence the size of the interior angle.

Third Question: That's true for all polygons. Size is not affect the interior angle size.

can someone help solve? will give brainliest

Answers

Answer:

Step-by-step explanation:

Your answer

About all the sides are equal so we can say (10x + 44) side's triagle is twice than another triangle

So, 10x + 44 = 2( 8x - 23)

..... 10x +44 = 16x -46

...... X = 15

Mark it as Brainlist answer. Follow me.

A truck that is 10 ft. by 12 ft. by 8 ft. carries cube shaped boxes that have a
length of 1.5 ft. How many of these boxes can this truck hold?

Answers

Answer:

284.4

Step-by-step explanation:

Divide all numbers by 1.5. example: (10)1.5(12)1.5(81.5= 284.444444 but I rounded it to 284. You're welcome

284 boxes in the shape of the cubes can be fitted in the truck.

If a truck is fitted fully with the cubes, volume of the truck will be equal to the volume of cubes to be fitted.

Dimensions of the truck given in the question,

Length = 10 feet, width = 12 feet and height = 8 feet

Since, volume of a cuboid (shape of a truck) is given by the expression,

Volume = Length × Width × Height

Therefore, volume of the truck = 10 × 12 × 8

                                                   = 960 feet³

Volume of a cube is given by the expression,

Volume = (side)³

Therefore, volume of the cube with side length 1.5 feet will be,

Volume of a cube = (1.5)³

                              = 3.375 cubic feet

Let the number of cubes fitted in the truck = x

Therefore, volume of 'x' cubes = (3.375x) feet³

Since, volume of the truck = Volume of the cubes fitted

3.375x = 960

x = [tex]\frac{960}{3.375}[/tex]

x = 284.44

x ≈ 284

     Therefore, 284 boxes in the shape of the cubes can be fitted in the truck.

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https://brainly.com/question/14912884

If yz = 0.7, what is the measure of α to the nearest degree?

Answers

Answer:

.9

Step-by-step explanation:

What would number 35 and 36 Be?

Answers

Answer:

35 c 36 d

Step-by-step explanation:

Problem: A pole is being held up with a 10 meter rope. The cable is making a 42° of elevation from the ground to
the top of the pole. What is the distance from the base of the pole to the base of the rope ? Round your answer
to the nearest tenth of a meter.

Answers

Answer:

x = 7.4

Step-by-step explanation:

cos(42°) = x/10 or distance from bases / rope length

Using the calculator find the value of cos(42°):

cos(42°) = 0.74 = x/10

Find x using the value of cos(42°):

x/10 = 0.74

x = 7.4

Please help me with this first answer gets brainliest

Answers

Answer:

multiply both sides by 17

your supposed to do the opposite of the symbol given

Step-by-step explanation:

Given : A toy car is placed on the floor. Its movement details are given

Answers

Answer:

Given :  A toy car is placed on the floor. Its movement details are given

To find : Distance covered by Car & graph to be plotted

Solution:

Start from rest

u = 0  at  t = 0

Constant acceleration for 3 sec reaching velocity 4 m/s

V = U +at

=> 4 = 0 +  a(3)

=>a = 4/3  m/s²

Distance here  S = ut + (1/2)at²

S = 0 + (1/2)(4/3)3²

=> S = 6 m

deceleration of 0.5 m/s² for 4 sec

=> v = 4  - (0.5)4

=> v = 2 m/s

Distance here   =  4(4)  - (1/2) (0.5)4²

= 16 - 4

= 12 m

Total Distance = 6 + 12 = 18 m

Total Distance traveled by toy Car = 18 m

Graph attached

Learn more:

Figure given below shows the graph of velocity v ofparticle moving ...

brainly.in/question/11151179

Figure given below shows the graph of velocity v ofparticle moving ...

brainly.in/question/10432386

The graph represents Jason's speed on a recent trip. For which time ...

Step-by-step explanation:

Please solve these geometry questions.

Answers

Answer: I don't know how to do the first question but I think I did the 2nd question correctly I believe we learned this in 7th grade.  I am a freshman so if it is wrong I am sorry anyways the answers for #2 are

A: 34 for JK

B: 15 for MN

and C: 30 for JL

Perimeter: is 79.  

This was fun to do lol ik it wasn't much but better than nothing.  

Step-by-step explanation:

What is a improper fraction and a mixed multiplication

Answers

Answer:

Step-by-step explanation:

An improper fraction is a fraction that the numerator is greater than the denominator. As for a mixed fraction, that is a whole number with a fraction next to it.

10 + what equals -6.2





PLEASE HELP ME ASAP!!!!!!!!!!!!;))

Answers

let “what” be represented by x:
10 + x = -6.2

subtract 10 on both sides to get:
x = -16.2

your answer is -16.2! hope this helps!

Write about a
way
how
you have used mathematics inside or outside of school. *


Plsss help it is important

Answers

Answer:

I have used mathematics at the store when i am buying something.

Step-by-step explanation:

y= -3x + 1 and y= x - 3

Answers

Answer:

x= 1

y= -2

Step-by-step explanation:

equation (1): y= -3x+1

equation (2): y=x-3

solve the system of equations by substitution:

step1: sub ( x-3 ) for y in equation 1:

y = -3x+1

x-3 = -3x+1

step2: simplify the equation to get x:

(add 3 for both sides)

x = -3x+4

(add 3x for both sides)

4x = 4

(divide 4 from both sides)

x = 1

step3: sub the value of x (x=1) in equation 2:

y = x-3

y = 1-3

step4: solve the equation to get y:

y = -2

write an equivalent fraction for each whole

Answers

Answer:

If the numerator is divisible by the denominator, the fraction is equivalent to a whole number. In other words, if you can divide the numerator by the denominator without any remainder, the fraction is equivalent to a whole number.

Step-by-step explanation:

Given that a = 17 m and b = 7.6 m, work out X.
Give your answer rounded to 1 DP.
х
(Pythagoras longer side)

Answers

Answer:

Step-by-step explanation:

a^2+b^2=c^2

17^2+7.6^2=c^2

[tex]\sqrt{17^2+7.6^2}[/tex]=c

c=18.6214

corrected to 1dp= 18.6 m

For which of the equations below is x = 2 a solution?
A 2 + x = 2
B x - 7 = 5
C 3x = 6

Answers

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A=  x=0

B=  x=12

C=   x=2

if a function is y = x - 8 , then what is the value of the function when x = 10

Answers

Answer:

2

Step-by-step explanation:

Greg studied for 12 minutes. This is 40% of the time he wants to study today. How many more minutes does Greg need to study today?

Answers

Answer:

18 More Minutes

Step-by-step explanation:

Hi,

I think I can help.

What I would first do here is try to find the value of 10% relative to the 12 minutes. If we find what 10% is we can multiply that to get 100% to find the total amount of minutes he wants to study. We can then subtract the time already studied to find our answer.

To do this we want to take the 40% we have and find 10. We can do 40/4 to find this since 40 divided by 4 is actually 10.

But if we do this we also have to do with to the number it is relating to / representing. Which is 12. (12 minutes = 40%)

So we can do :

40 / 4

=

10%

Also

12 / 4

=

3

So with this we can conclude that 10% of his total time is 3 minutes.

Now lets multiply this by 10 to get the 100% we are looking for so we can get the total amount of time he spent studying.

So :

10% x 10

=

100%

3 x 10

=

30 minutes

So his total time is 30 minutes of studying, but we have to find how many more minutes after his 12.

We can now simply take the total time and take off the time spent already to find this answer :

30 - 12

=

18 minutes

That is your answer, he needs to study 18 more minutes.

I hope this helps!

If you have any questions or concerns please comment or message me! :)

I NEED HELP ASAP Identify the property used:
144x12=12x144

Answers

Answer: COMMUTATIVE PROPERTY OF MULITIPLICATION

Step-by-step explanation: the commutative property is when the numbers are basically swapped

Gl on your assignment :)

calculate the middle number between 1.5 and 7.1

Answers

Answer:

4.3

Step-by-step explanation:

Add the numbers and divide by 2 , finding the average, that is

middle number = [tex]\frac{1.5+7.1}{2}[/tex] = [tex]\frac{8.6}{2}[/tex] = 4.3

Answer:

4.3 is the answer

Step-by-step explanation:

(1.5 + 7.1 ) ÷ 2 = 4.3

at a school 111 students play at least one sport this is 30% of the students at the school how many students are at the school​

Answers

Mark as Branliest if you like the answer and want to be ansewered frequently within no time

A right triangle with the side AB as a length of 35 cm and another side length BC with 12 cm. What is the hypotenuse length of the right triangle?

Answers

The formula to find the hypotenuse is a^2 + b^2 = c^2. Let’s call side AB, “a” and call side BC, “b”. Now “a” = 35 cm and “b” = 12 cm. Using the formula, you square (multiply the number by itself) “a” and “b” then add them together. This would look like 35^2 + 12^2 =c^2. When you do the multiplication it ends up as 1,225 + 144 = c^2. Add 1,225 and 144 together to get 1,369 = c^2. Last step is to square root both sides to get 37 = c. So the hypotenuse of this triangle would be 37.
Hope this helps!

If ( square root of 128 - square root of 72) is divided by square root of 8, the result is?

Answers

Answer:

[tex] \sqrt{128} - \sqrt{72} = 2.82842712474619 \\ \\ 2.82842712474619 \div \sqrt{8 } = 1[/tex]

HOPE IT HELPS! :)

help. pls. i will mark brainliest.

Answers

Answer:

pretty sure its b.

hope this helps!

Answer:

i think its none of the above

Step-by-step explanation:

because it can't be vertical since they need to be on opposite sides

it's not complementary because it doesn't equal to 90

it can't be supplementary because line D is not straight

so that's why i think it's none of the above

If P and S are rational numbers and R and Q are irrational numbers, which of these statements is true?
A The product of R and Q is always an irrational number.
B The product of P and S is always a rational number.
C The sum of R and Q is always an irrational number.
D The sum of P and Q is always a rational number.

Answers

Answer: B. The product of P and S is always a rational number.

Step-by-step explanation: The product AND sum of two rational numbers will ALWAYS be rational.

help pls

. ________.

Answers

Answer:

#8)  x = 12

Step-by-step explanation:

vertical angles are congruent

5x + 10 = 70

5x = 60

x = 12

Please Help Me, I will give the person who answers the best brainliest.

What is the equation of a line that contains the points (5, 0) and (5, −2)?

x = 5
x = 0
y = 0
y = 5

Answers

The answer has to be number 2 because I took the test and I got it right

20.8 = 4( z+1.1)
What is Z ?

Answers

Answer:

z = 4.1

Step-by-step explanation:

(4.1 + 1.1)

(5.2)

4(5.2) = 20.8

Which equation can be used to solve for x in the following diagram?
7xº
11x°

Answers

Answer:

7x° + 11x° = 90°

(Required equation)

Step-by-step explanation:

7x° + 11x° = 90°

(complementary angles)

18x° = 90°

18x = 90

x = 90/18

x = 5

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