Mathematics High School

What value of b makes the expression x^2 + bx + 4 a perfect square?
1
0
2
4

Answers

Answer 1

Answer:

b=4 makes the equation a perfect square.

Step-by-step explanation:

As long as you factorize out the equation, you'll get a result of (x+2)^2. This multiplied using foil gives you, x^2 + 2x + 4. Making it a perfect square. You could also have -2 = b which makes a perfect square, but that's not in the options.

Answer 2

Answer:

4

Step-by-step explanation:

The constant term 4 is obtained by

adding (half the coefficient of the x- term)²

4 = 2²

Then b = 4

x² + 4x + 4 = (x + 2)² ← a perfect square

Related Questions

find x if b is the midpoint of the line AC.
AB=6x-6 and BC=72

Answers

Answer:

[tex]if \: b \: is \: the \: mid \: point \: then \: \\ ab = bc \\ then \: 6x - 6 = 72 \\ 6x = 72 + 6 \\ 6x = 78 \\ x = \frac{78}{6} \\ x = 13 \\ thank \: you[/tex]

This question is simply about division of line segments.

x = 13

We see that point B is the mid point of line AC. This means that;

AB = AC

Now, since AB = 6x - 6 and BC = 72

Thus, 6x - 6 = 72

Add 6 to both sides to get;

6x = 78

divide both sides by 6 to get;

x = 13

read more here; brainly.com/question/10838483

Round your answer to the nearest hundredth​

Answers

Answer:

∠ B ≈ 64.62°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{3}{7}[/tex] , then

∠ B = [tex]cos^{-1}[/tex] ([tex]\frac{3}{7}[/tex] ) ≈ 64.62° ( to the nearest hundredth )

Sam bought 8 new trading cards to add to his collection. the next day his dog ate half of his collection. there are now only 40 cards left. how many cards did sam start with?

Answers

Answer:

(8 + A) = 80 / 2 =40

A=72

Step-by-step explanation: Simple if sam bought 8 trading cards he obviously had some to start with and if half of that was 40 then the complete set was 80 and 80 - 8 is 72.

What fraction is 1.64 equal to?

Answers

Answer:

41/25

Step-by-step explanation:

1.64x100 = 164
1x100 = 100

164/4 =41
100/4 =25

Answer = 1 16/25

164 is greater than 100 therefor the problem can be simplified to a mixed fraction.

calculate the total surface area of the give cuboid​

Answers

320 centimeters squared
Given,
H= 4cm
L= 10cm
B= 8 cm

We know that,
Total Surface Area= Area of Roof + Area of four walls + Area of Floor

TSA= L*B + 4(L*H) + L*B
10*8 + 4(10*4) + 10*8
80 + 4(40) + 80
80+ 160 + 80
160 + 160

320 cm^2.

How to write a book report plz help ​

Answers

Answer:

[tex]name \: of \: the \: book \\ auther \: of \: book \\about \: auther \: shortly \\ content \: of \: the \: book \\ comparison \: with \: any \: social \: issue \\ relevence \: of \: that \: in \: present \: days \\ important \: peoples \: thoughts \: about \: that \: book \\ ur \: opinion \: about \: it \\ i \: hopethis \: helps \: you[/tex]

Answer:

Depends on the level, you are writing!! Check the pictures below.

Step-by-step explanation:

A large power plant generates 7.1 gigawatts of electrical power.
A large power plant generates_watts of electrical power. (Use the multiplication symbol in the math palette as needed)

Answers

Oh! Wow! That's superb!

Find the value of x.

Answers

[tex]180^o-130^o=50^o\\\\90^o+50^o=140^o\\\\x=180^o-140^o\rightarrow\boxed{x=40^o}[/tex]

How to solve multi step equations

Answers

Answer:

x = –2

Step-by-step explanation:

– 6(1+4x) = –x +40

–6 – 24x = –x +40

24x –x = –6 –40

23x= – 46

x= – 46 / 23

x= – 2

I hope I helped you‌^_^

Y=DB-3 solve for d. These equations are still tricky for me.

Answers

add 3 to both sides, this gives y + 3 = db

then divide both sides by b, this gives (y + 3)/b = d

Find the value of y and RT if S is between RT. RT = 7y + 7, RS = 11, and ST = 5y + 6.​

Answers

Answer:

78  

Step-by-step explanation:

show your work

Which expression is equivalent to(2^3)^-5

Answers

Answer:

23

Step-by-step explanation:

Answer:

1/32

Step-by-step explanation:

First you must multiply the 3 and the -5 because the -5 is out of the parenthases. then you will get 2^-15. You cannot have a negative exponent so you chance it to 1/2^15. Then simplify to get the answer

select the correct answer
which of these mappings is a function

Answers

Answer:

B. X

Step-by-step explanation:

the other functions have same x and different y which makes them non existant

B is the answer for this problem

276.4 rounded to the nearest tenth

Answers

Answer:

This is the nearest tenth already.

Answer:

276.4 rounded to the nearest tenth = 276.4

Step-by-step explanation:

round 276.4 to the nearest tenth, leaving only one number after the decimal point, then you have come to the right post.

See the attachment for more examples

Find the unknown sizes of the angle​

Answers

Answer:

b=58 ( vertically opposite angle)

58+65+x=180 (Beaing straight angle)

123+x=180

x=180-123

:.x=57

65+b+c=180 (beaing straight angle)

65+58+c=180

123+c=180

c=180-123

c=57

a=65 (beaing vertically opposite angle)

answer

:.b=57

:.c=57

:.a=65

a＝65°
b＝58°
c＝180－65－58＝57°

Hope my answer helped u :)

The chorus sang for 27 minutes. If each song lasted an average of 412 4 1 2 minutes, how many songs did the chorus sing?

Answers

Answer:

It would be 15 songs if each song was 412 seconds, not minutes.

Step-by-step explanation:

we are 5 red marbles a blue marbles and travel marbles in a bag separate rows are performed with the results and table what is the experiment property of randomly during green marble red pen blue 1228a what is the experiments of purposive random drawing green apple by does it sell it for profit of randomly drawn a green marble see what would you expect to happen if Mars has an experiment performed explain your reasoning using complete sentences ​

Answers

Answer:

elon musk

Step-by-step explanation:

he is a god on earth who drinks apples while eating tables in the milk ecosystem when hulk killed superman in washington-nigeria.

Solve the system of linear questions by substitution

-3x + y = 1
4x + y = 8

Answers

Answer:

–3x + y =1

y= 1 +3x

4x + y =8 —> 4x + ( 1 + 3x ) = 8

7x + 1 = 8 —> 7x = 8 – 1 —> 7x = 7

x = 7/7 —> x = 1

y= 1 + 3x —> y = 1 + 3 (1) —> y = 1+ 3

y= 4

(x , y ) —> ( 1 , 4 )

I hope I helped you^_^

An airplane travels due east 75 miles and then due north 65 miles. How far is the airplane from its starting point? Round to the nearest hundredth of a mile.

I will mark brainliest

Answers

Answer:

99.25 miles

Step-by-step explanation:

The straight line from the starting point forms a hypotenuse of the right triangle with the legs 75 and 65 miles. Use Pythagorean.

The distance is:

[tex]\sqrt{75^2+65^2} = \sqrt{9850} = 99.25[/tex] miles (rounded)
P=75B=65

Using Pythagorean theorem

[tex]\\ \rm\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \rm\longmapsto H^2=75^2+65^2[/tex]

[tex]\\ \rm\longmapsto H^2=9850[/tex]

[tex]\\ \rm\longmapsto H=\sqrt{9850}[/tex]

[tex]\\ \rm\longmapsto H=99.247[/tex]

[tex]\\ \rm\longmapsto H=99.25miles[/tex]

Help please.
Simplify: 5i/ 3 + 2i

Answers

Answer:

10+15i/13

Step-by-step explanation:

This question is about complex numbers.

so,

in this type of questions we have to multiply this fraction by the conjugate of the denominator

   conjugate of the denominator is  3-2i

    1)    5i(3-2i)/(3+2i)(3-2i)

   

    2) 15i-10i^2/9-4i^2   ( we know that i^2 = -1 )

    3) 15i+10/9+4

 

     4) 15i+10  / 13

   

In 2001 there were 2,900,000 pupils in a primary school and by 2004 number had increased to 4200000 what was the percentage increase give your answer to the nearest whole number​

Answers

Answer:

4.2M - 2.9M= 1300000

1.3/2.9x100= 44.83%

Answer:

59%

Step-by-step explanation:

2900000÷4200000× 100

Hayden had 2 1/2 gallons of water in his watering can. The seed packet said to use 1/4 of a gallon for peppers and 5/8 of a gallon for tomatoes. Hayden then used some of the water for lettuce. If Hayden had 3/4 gallons of water left over, about how much water did he use for lettuce?

Answers

Answer:

7/8

Step-by-step explanation:

1/4 + 5/8 = 2/8 + 5/8 = 7/8

= amount used for pepper and tomatoes

2 1/2 - 3/4 = 5/2-3/4 = 10/4 -3/4 = 7/4

= total amount used

so

7/4 - 7/8 = 14/8 - 7/8 = 7/8 for lettuce

5.6x+1.5=0.8x+25.5

What is x?

Answers

Answer:

x = 5

Step-by-step explanation:

Let me know if you need the work

5, 317, 000 in scientific notation

Answers

Hi ;-)

[tex]5 \ 317 \ 000=\\\\=5,317\cdot1 \ 000 \ 000=\boxed{5,317\cdot10^6}[/tex]

Step-by-step explanation:

[tex]5317000 = 5.317 \times {10}^{6} \\ thank \: you [/tex]

The perimeter of Stephanie’s triangle is half the perimeter of Juan’s triangle. Juan’s triangle is shown. Write a numerical expression to describe the perimeter of Stephanie’s triangle.

Answers

The perimeter of a triangle is the sum of all side lengths of the triangle. The numerical expression for the perimeter of Stephanie's triangle is: [tex]\frac 12 \times 25[/tex]

Let the sides of Juan's triangle be x, y and z. So:

[tex]x = 5 \\ y = 8\\ z = 12[/tex]

The perimeter (J) of Juan's triangle is calculated by adding all sides.

So:

[tex]J =x +y +z[/tex]

This gives:

[tex]J =5 + 8 + 12[/tex]

[tex]J =25[/tex]

From the question, we understand that:

The perimeter (S) of Stephanie's triangle is half that of Juan.

This means that:

[tex]S = \frac 12J[/tex]

Substitute 25 for J

[tex]S = \frac 12 \times 25[/tex]

Hence, the numerical expression for the perimeter of Stephanie's triangle is: [tex]\frac 12 \times 25[/tex]

Read more about perimeters at:

https://brainly.com/question/11957651

Solve - 4x + 2 > 26.

Answers

Answer:

x < -6

Step-by-step explanation:

-4x + 2 > 26

Subtract 2 from both sides

-4x > 24

Solve for x

x = 24/-4

x < -6

8. Raul made four of his truck payments late and
was fined four late fees. The total change to his
savings from late fees was -$40. How much was
the one-time late fee?

Answers

a one time late fee is $10 we know this bc he had 4 late payments resulting in an extra $40 if you divide 40 by 4 you get 10

6x-14(17+19x)=-11x+13

Answers

ANSWER: x=-251/271 or -0.926

Step by Step:
1) 6x-238-266x=11x+13 (multiply 14 with 17 and 19x)
2) -260x-238=11x+13 (like terms put together)
3) -260x-238-11x=13 (combine the x’s)
4) -260x-11x=13+238
5) -271x=13+238
6) -271x=251
7) divide both sides by -271

If P={2,3,4} and Q={1,5} find and represent it in set builder form​

Answers

Step-by-step explanation:

Solution,

P={2,3,4}

P={x:x ∈ N between 1 and 5}

Q={1,5}

Q={x:x ∈ factors of 5}

I hope you were asking for the same answer .

I hope it helped U

stay safe stay happy

20x2 y(x2 - y2) and 35xy?(x - y)
lcm

Answers

Answer:

Correct option is

HCF of 20 and 35 = 5

HCF of x2yandxy2=xy

HCF of (x2−y2),i.e.,(x−y)(x+y)

and (x−y)=(x−y)

∴ReqdH.C.F=5xy(x−y)

Step-by-step explanation:

hiiii ur so cute

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