Is x^2+8x+16 a perfect square

Answers

Answer 1

Answer:

YES IT IS A PERFECT SQUARE

Step-by-step explanation:

equate the equation to zero

x^2+8x+16=0

c is the product while the coefficient of b is the sum

P=16

S=8

find a pair of numbers that the product is 16 and the sum is 8

the numbers are (4,4)

(x^2+4x) (4X+16)

ignore 8x and arrange as shown above

then bracket the equation

x(x+4)+4(x+4)

you simplify and remain with (x+4) (x+4)

having similar roots making it a perfect square


Related Questions

hi ill reward and give brainly to correct and first people. look at picture follow directions.​

Answers

Answer:

120, 180, 70

Step-by-step explanation:

What is 330000 in standard to scientific notation?

Answers

Answer:

3.3*10^5

Step-by-step explanation:

Answer:

3.3 * 105

Step-by-step explanation:

Write the number between 1 and 9 and place decimal accordingly. So, the answer is 3.3 multiplied by 10 raised to power 5.

An irregularly shaped stone was lowered into a graduated cylinder holding a volume of water equal to 2 ml. The height of the water rose to 7 ml. If the mass of the stone was 25 g, what was its density?

Answers

Answer:

Step-by-step explanationNote:

1

ml

=

1

cc

If the water rose

7

ml

2

ml

=

5

ml

then the stone had a volume of

5

ml

or

5

cc

With a mass of

25

g

it must have a density of

XXX

25

g

5

cc

=

5

g/cc

Solve the system of equations.
y = 6x + 13
y = 2x + 1

Answers

Answer:

x=-3. y=-5

Step-by-step explanation:

Equating both equations,

6x + 13 = 2x + 1

6x - 2x = 1 - 13

4x = -12

x = -3

Plug in the value of x in the given first equation,

y = 6* (-3) + 13 = -18 + 13 = -5

Answer:

{y,x} = {-5,-3}

Step-by-step explanation:

System of Linear Equations entered

y - 6x = 13

 y - 2x = 1

Graphic Representation of the Equations

-6x + y = 13        -2x + y = 1  (attached)

Solve by Substitution

y = 2x + 1

(2x+1) - 6x = 13

   - 4x = 12

4x = - 12

    x = - 3

  y = 2x+1

   x = -3

 y = 2(-3)+1 = -5 (final answer)

hope it helps you!

Renee is simplifying the expression (7) (13/29) (1/7).She recognizes that 7 and 1/7 are reciprocals, so she would like to find their product before she multiplies by 13/29. Which property will allow Renee to do this without changing the value of the expression
A- associative property
B- commutative property
C- distributive property
D- identity property

Answers

Answer:

commutative property

Step-by-step explanation:

Answer:

c\

Step-by-step explanation:

distributive property

Write an expression to represent the water temperature after the submarine’s final dive. Then simplify the expression to find the temperature.

Answers

Answer:

63.25°F − 2.2°F = 61.05°F

Step-by-step explanation:

Answer:

61 1/20 °F

Step-by-step explanation:

63 1/4 °F  -2 1/5 °F =61 1/20 °F

I invest £2,000 at a rate of 5% compound interest. I leave the amount 5 years. How much will I have after 5 years?​

Answers

Answer:

£10,000 at a rate of 5%

Answer:

£10,000

Step-by-step explanation:

£2,000x5= £10,000

Huang Yi works as a paleontologist and a sculptor. She earns \$5{,}500$5,500dollar sign, 5, comma, 500 per month as a paleontologist and \$4{,}500$4,500dollar sign, 4, comma, 500 per month as a sculptor. Huang Yi wants to make more than \$50{,}000$50,000dollar sign, 50, comma, 000 this year. In the inequality shown above, PPP represents the number of months Huang Yi can work as a paleontologist and SSS represents the number of months she can work as a sculptor to reach her goal. If Huang Yi worked for 666 months as a paleontologist this year, what is the minimum whole number of months that she must work as a sculptor to reach her goal?

Answers

Answer:

4 months

Step-by-step explanation:

Let P represents the number of months Huang Yi can work as a paleontologist and S represents the number of months she can work as a sculptor to reach her goal.

If she works for P months as an paleontologist, her income would be 5500P while if she works for S months as a sculptor her income would be 4500S.

Her total income = 5500P + 4500S

Since she wants to earn more than $50000, hence:

5500P + 4500S > 50000

Given she worked as a paleontologist for 6 months, therefore:

5500(6) + 4500S > 50000

33000  + 4500S > 50000

4500S > 50000 - 33000

4500S > 17000

S > 17000/4500

S > 3.78

S > 4

The minimum whole number of months that she must work as a sculptor to reach her goal is 4 months

one angle of an isosceles triangle measure 140 degrees. which other angles could be in that isosceles triangle?

Answers

Answer:

20!

Step-by-step explanation:

Isosceles triangles have 2 angles are the same. Since we can't do 140, because interior angles of a triangle equal 180, then we need to subtract 140 from 180. 180-140=40. 40/2 because of 2 angles=20. 20 is the angle.

Answer:

20

Step-by-step explanation:

another way to write 2 5/2×4

Answers

Answer:

4 1/2(4)

Step-by-step explanation:

djjdiebjeidjjexjjebej

solve for U

32=2u

Simplify your answer as much as possible.

Answers

Answer:

16

Step-by-step explanation:

32 divided by 2 equals 16 so u = 16

U=16
You do 32/2 to get U, 32/2=16 so that would be your U.

Hope this helps!

Keith needs to drive a total of 18 miles. So far, he has driven 9.4 miles. How many more miles must Keith drive?

Answers

18-9.4=8.6
The answer is 8.6
A lot of miles is your answer hope this helps

PLZPLZPZLZPZLZPZLZPZPPPZZLZP HELP ME WILL NAME BRINLY
Suppose J is between H and K. Use the Segment Addition Postulate to solve for x. Then find the length of each segment.
If HJ=x+10
JK=9x
KH=14x−58
a) Draw a sketch of the segments described above
b) Write an equaation using the segment addition postulate that will help you solve the problem
____+_____=____
c) combine like terms ( x terms on one side of the equal sign and numbers in the other side of the equal sign) _____=______
d)
x= __
HJ=__
JK=__
HK=__

Answers

Answer:

x= 17

HJ= 27

JK= 153

HK= 180

Step-by-step explanation:

If HJ=x+10

JK=9x

KH=14x−58

a) Draw a sketch of the segments described above

Find attached to this answer the diagram of the sketch of the segments described above

b) Write an equation using the segment addition postulate that will help you solve the problem

HJ + JK = KH

x + 10 + 9x = 14x - 58

c) combine like terms ( x terms on one side of the equal sign and numbers in the other side of the equal sign) x + 10 x + 10 + 9x = 14x - 58

10 + 58 = 14x - x -9x

68 = 14x - 10x

68 = 4x

x = 68/4

x  = 17

d)

x= 17

HJ= x + 10

= 17 + 10

= 27

JK= 9x

= 9 × 17

= 153

HK=14x −58

HK = 14 × 17 - 58

= 238 - 58

= 180

What is the slope of the line that passes through the points (4, 9) and (1, 6)?

Answers

a = ( 1 , 6 )

b = ( 4 , 9 )

[tex]slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\ [/tex]

Now just need to put the coordinates in the above equation :

[tex]slope = \frac{9 - 6}{4 - 1} \\ [/tex]

[tex]slope = \frac{3}{3} \\ [/tex]

[tex]slope = 1[/tex]

And we're done...♥️♥️♥️♥️♥️

Find the value of d so the line that passes through (a,b) and (c,d) has a slope of 12.

Answers

Answer:

d = 12c-12a+b

Step-by-step explanation:

The formula for calculating the slope of a line passing through two points (x1, y1) and (x2, y2)is expressed as:

m = y2-y1/x2-x1

Given the coordinates  (a,b) and (c,d) and slope m = 12

Substitute into the formula as shown:

m = d-b/c-a

12 = d-b/c-a

Make d the subject of the formula:

12 = d-b/c-a

cross multiply

12(c-a) = d-b

12c-12a = d-b

add b to both sides

12c-12a + b = d-b+b

12c-12a + b = d

Hence d = 12c-12a+b

Deepak is measuring sides and angles of triangle FGH to determine whether it is congruent to triangle MNP shown below. Triangle M N P. Side P N is 26.7 centimeters, side M N is 18.3 centimeters, and side P M is 14.2 centimeters. Angle P is 40 degrees, angle N is 30 degrees, and angle M is 110 degrees. Deepak found that Angle G has a measure of 50° and Segment F H is 18.3 centimeters long. Does he need to continue measuring sides and angles of triangle FGH and why? No, he knows that the triangles are congruent because there are corresponding sides and angles that are congruent. No, he knows that the triangles are not congruent because those measurements are not equal to the corresponding parts of triangle MNP. Yes, he must verify that the other two side lengths and the other two angle measures are the same as those found in triangle MNP. Yes, he must only verify that the other two angle measures are the same as those found in triangle MNP.

Answers

Answer:

B. No, he knows that the triangles are not congruent because those measurements are not equal to the corresponding parts of triangle MNP.

Step-by-step explanation:

I took the test.

The correct option is B. No, he knows that the triangles are not congruent because those measurements are not equal to the corresponding parts of triangle MNP.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We are given that Deepak is measuring sides and angles of triangle FGH to determine whether it is congruent to triangle MNP,

In Triangle M N P.

Side P N = 26.7 centimeters,

M N is 18.3 centimeters,

P M is 14.2 centimeters.

Angle P is 40 degrees, angle N is 30 degrees, and angle M is 110 degrees.

He found that Angle G has a measure of 50° and Segment F H is 18.3 centimeters long.

Based on the definition, two triangles are congruent if the three sides are equal and the three angles are equal.

Hence, he need to know the other lengths of the sides of the triangle and the others angles to know if they are congruent or not.

Learn more about congruent triangles;

https://brainly.com/question/12413243

#SPJ6

if m<2=44, what is m<1?​

Answers

Answer:

Step-by-step explanations:

POSSIBLE POINTS: 0.86 Marcus is trying to decide between a cable subscription and a satellite dish. The cable subscription has a $40 setup fee and costs an additional $38 per month. Marcus has $500 budgeted for cable. How many months (m) can he pay for the cable subscription? WRITE AN EQUATION THAT CAN BE USED TO FIND THE NUMBER OF MONTHS HE CAN PAY FOR THE CABLE SUBSCRIPTION​

Answers

Answer:

0.156

Step-by-step explanation:

step1. add 40 + 38 = 78

step2. divide 78 by 500 to get 0.156

hope im right

The letter or number on each side indicates the sides measure and the letter or number in the interior of each angle of each triangle indicates that angle's measure. Use your new conjectures to arrange the letters' values in order from greatest to the least.

Answers

Answer:

v, z, w, x

let the letter become the angle opposite of them.

Can someone help me please?

Answers

Answer:

Instead of shane just taking all the exponents and counting them one by one, she could have added all the exponents because that's what you're supposed to do when multiplying exponents.

How much force is needed to push a car with 1,300 kg of mass at an acceleration of 1.5 m/s2?

C)16,562 N
A)8,493 N
B)1,950 N

Answers

Answer:

I think its C

hope this helps you

Find the slope of a line perpendicular to the given line​

Answers

Answer:

jajajakskskwjjwj

Step-by-step explanation:

nsksksidsjqlaheueiehejqjwhwjeueue

(2x3)7x4)8x1)
I will makr brainliest if you get it right !!

Answers

Answer: 1344?

Step-by-step explanation:

Answer:

1344

Step-by-step explanation:

hope this helps

I need help solving all the questions.
1. Rakesha claims that the equation f(n) 5 5n 2 7 is the function notation for the sequence that is
represented by the explicit formula an 5 22 1 5(n 2 1). James doesn’t understand how this can be
the case.
a. Help James by listing the steps to write the explicit formula of the given sequence in function
notation. Provide a rationale for each step.
b. Graph the function. Label the fi rst 5 values of the sequence on the graph.
2. Determine whether each table of values represents a linear function. For those that represent
linear functions, write the function. For those that do not, explain why not.

Answers

easy it’s 6.57 glad to help u

y + 7 = 4(x + 2)
Write in standard form.

Answers

This you answer for sure
4x-y=-1 that’s your answer

A system is described by the equations
2x + 3y = 10
4x + By = 20
For what value of B will the system have infinitely many solutions?

Answers

I got x=5/2 hope this helps:)

It’s all in the picture. :)

Answers

Answer:

A and B are correct.

Step-by-step explanation:

A would be correct because the tickets cost 18 in all and 3 friends went. 18/3=6

B is correct because funnelcakes are represented by C. In the equation, C equals 3

C is incorrect because we don't know how much the group spent.

D is incorrect because that information wasn't given.

Estimate the √14.6. Round to the nearest tenth.

Answers

Answer:

3.8

Step-by-step explanation:

Answer:

3.82/ 3.8

Step-by-step explanation:

Use the following federal tax table for biweekly gross earnings of a single person to help answer the question below.
A 9-column table with 7 rows is shown. Column 1 is labeled If the wages are at least with entries 720, 740, 760, 780, 800, 820, 840. Column 2 is labeled But less than with entries 740, 760, 780, 800, 820, 840, 860. Column 3 is labeled And the number of withholding allowances is 0, the amount of income tax withheld is, with entries 80, 83, 86, 89, 92, 95, 98. Column 4 is labeled And the number of withholding allowances is 1, the amount of income tax withheld is, with entries 62, 65, 68, 71, 74, 77, 80. Column 5 is labeled And the number of withholding allowances is 2, the amount of income tax withheld is, with entries 44, 47, 50, 53, 56, 59, 62. Column 6 is labeled And the number of withholding allowances is 3, the amount of income tax withheld is, with entries 26, 28, 31, 34, 37, 40, 43. Column 7 is labeled And the number of withholding allowances is 4, the amount of income tax withheld is, with entries 14, 16, 18, 20, 22, 24, 26. Column 8 is labeled And the number of withholding allowances is 5, the amount of income tax withheld is, with entries 1, 3, 5, 7, 9, 11, 13. Column 9 is labeled And the number of withholding allowances is 6, the amount of income tax withheld is, with entries 0, 0, 0, 0, 0, 0, 1.
Molly has biweekly gross earnings of $839.52. By claiming 1 more withholding allowance, Molly would have $16 more in her take home pay. How many withholding allowances does Molly currently claim?
a.
1
b.
2
c.
3
d.
4



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

Hi! The answer is actually C. 3

Step-by-step explanation:

I just did the practice and it said 3 was the answer:)

Based on the number of exemptions claimed by Selina and her biweekly gross pay, her state tax will be $16.80.

Here, we have,

given that,

from the given information, we get,

Selina is to pay 21% of her federal taxes.

Seeing as she claims a single exemption and falls in the $840 to $860 bracket, the table shows that her federal tax contribution would be $80.

State taxes are therefore:

= 80 x 21%

= $16.80

Find out more on tax at

brainly.com/question/11308445.

#SPJ7

A student organization sells shirts to raise money for events and activities. The shirts are printed with the organization's logo and the total costs are $100 plus $7 for each shirt, x. The students sell the shirts for $15 each.


Write an expression for the cost AND an expression for the revenue (money earned). Then evaluate for the specified number of shirts.




Solution

Write the expression in the order of the problem.


Cost Expression: Answer

(View hint)


Revenue (Money Earned) Expression: Answer

(View hint)


How much would it cost to make 25 shirts?


$ Answer


How much would students earn if they sold 25 shirts?


$ Answer


Will students make more money than they spent if they make and sell exactly 25 shirts?

Answers

Answer:

The answer is below

Step-by-step explanation:

The total cost for producing x number of shirts = 100 + 7x

The price of each shirt is $15, therefore:

Revenue = price per shirt × number of shirts = 15 × x = 15x

Revenue = 15x

The cost of making 25 shirts is given as:

Cost = 100 + 7x = 100 + 7(25) = $275

The money earned from producing 25 shirts is given as:

Revenue = 15x = 15(25) = $375

Since the revenue is greater than cost, the students would make more money than they spent if they make and sell exactly 25 shirts

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