Write x^2 + 4x +5 in the form of (x + a)^2 + b where a and b are integers

Answers

Answer 1

Answer:

[tex](x+2)^2 + 1 \ , \ where \ a = 2 \ , \ b = 1[/tex]

Step-by-step explanation:

[tex](x + 2)^2 = x^2 + 4x + 4\\\\(x+2)^2 + 1 = x^2 + 4x + 5[/tex]

[tex]Therefore,[/tex]

                [tex]x^2 + 4x + 5 = (x+2)^2 + 1[/tex]


Related Questions

Find the missing angle in this triangle

Answers

180-124-23= 33 because any triangle adds up to 180

Answer:

hope it helps

Step-by-step explanation:

124+23+x=180

x+147=180

x=180-147

x=33

Jaira is volunteering to stack 12 boxes of soup cans at a community food bank. She stacks the boxes to form a right rectangular prism. Describe or show 2 different ways that Jaira could have arranged her boxes to still make a rectangular prism.

Example: 6 boxes long, 1 box wide, and 2 boxes high ( 6 x 1 x 2 = 12 boxes )
A second way is: 4 boxes, ? , ? 4 x ? x ? = 12 boxes
A third way is: ? ? x ? x ? = ? boxes
2. Would you measure the space these boxes’ shape take up the same way you counted the area that the rug covered on the floor? Explain.

Answers

Answer:

6 boxes wide

6 boxes wide

or 2high 2high 2high 2high 2high 2high

Step-by-step explanation:

6 wide and 6 wide to make 12. 6x2=12

2 high ×6 2×6=12

What is the volume of this cylinder?

??

Answers

Answer:

197.92

Step-by-step explanation:

pretty simple not hard bub

cant figure this one out! will mark brainliest. also don’t have to show work if you don’t want to, i just need the answer

Answers

Answer:

a = -24

Step-by-step explanation:

a / -3 - 2 = 6

a/-3 = 8

a = -3 * 8

a = -24

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: a= -24

a/-3- 2=6

      +2   +2

a/-3=8

   *3  *3

a= -24

Math help please show work I will mark Brainlist if correct

Answers

Answer:

Step-by-step explanation:

(2). 1 yd ≈ 0.9144 m

1 yd³ ≈ 0.76455 m³

2 yd³ ≈ 1.53 m³ ≈ 2 m³

(3). 1 ft ≈ 0.3048 m

1 ft² ≈ 0.0929 m²

162 ft² ≈ 15.1 m²

(4). 1 mi ≈ 1.60934 km

1 mi² ≈ 2.59 km²

503 mi² ≈ 1302.8 km²

What are the coordinates of V′ for the transformation (T(–3, 1)° D4 )(ΔTUV) of T(–7, –6), U(–8, 3), and V(2, 1)?

Answers

Answer:

(5;1)

Step-by-step explanation:

-3 means shift to the right

Wayne is mixing paint. He makes six quarts of brown paint by mixing equal quantities of yellow paint and violet paint. The violet paint is made from one-third red paint and two-thirds blue paint.
1.What percentage of the brown paint is made from red paint? ( Hint: use the ratio table and convert the fraction to percentage) Explain how you figure out

2.Wayne decides to make 12 quarts of brown paint by using the same formula as above. Will the percentage of brown paint that is made from blue paint change or stay the same? Explain your answer. (Hint: proportional table. Will the ratio/percentage of the paint change with the increase in the amount of paint used?)

Answers

Answer:

Step-by-step explanation:

2/6=33.33

What is the volume of the plastic rocket???

Answers

Answer:

A) 151 in³ or 151 cubic inches

Step-by-step explanation:

Volume of rocket = Volume of Cylinder + Volume of Cone

Step 1

Find the volume of the cylinder

Volume of a cylinder = πr²h

r = Diameter/2

= 5/2 = 2.5 inches

h = 6 inches

Hence,

π × 2.5² × 6

= 117.81 cubic inches

Step 2

Find the volume of the cone

Volume of a cone =1/3 πr²h

h = 11 inches - 6 inches

= 5 inches

r = 2.5 inches

Hence,

1/3 × π × 2.5² × 5

= 32.72 cubic inches

Therefore:

Volume of rocket = Volume of Cylinder + Volume of Cone

= 117.81 cubic inches + 32.72 cubic inches

= 150.53 cubic inches

Approximately to the nearest inch = 151 in³ or 151 cubic inches

Option A is correct

write an equation to show the relationship between a and c when a = b + 9 b = c - 2​

Answers

Given:

The equations are:

[tex]a=b+9[/tex]

[tex]b=c-2[/tex]

To find:

The equation that show the relationship between a and c.

Solution:

We have,

[tex]a=b+9[/tex]               ...(i)

[tex]b=c-2[/tex]               ...(ii)

Equation (i) can be rewritten as:

[tex]a-9=b[/tex]              ...(iii)

From (ii) and (iii), we get

[tex]a-9=c-2[/tex]

[tex]a-c=9-2[/tex]

[tex]a-c=7[/tex]

Therefore, the required equation is [tex]a-c=7[/tex].

HELP I WILL GIVE brainly Est to whoever can answer.

Answers

Answer:

122

Step-by-step explanation:

Have a nice day :)

plz mark brainllest

B- 300° you add the 120 angle plus 180 bc half a circle is 180 and ur finding STR

Find the values of x and y
X=
Y=

Answers

Answer:

x = 7

y = 4

Step-by-step explanation:

y + 12 = 3x - 5

5y - 4 = 3x - 5

So y + 12 = 5y - x

To solve the equation above, y =4

Sub y = 4,

x = 7

What is the range of the following data?
10 20 30 40 50 60 70 80 90 100
50
20
70
60

Answers

the range is 70
explanation: the range is calculated by subtracting the lowest value from the highest value

Evaluate y⁵ for y = 1.

● 1
● 5
● 15​

Answers

Answer:

1

Step-by-step explanation:

if y = 1 then [tex]y^{5} = 1 . 1 . 1. 1.1 = 1[/tex]

Answer: 1

Step-by-step explanation:

its just 1 because you just multiplied 1 by1 5 times

In a right triangle, the hypotenuse / the opposite side is:


answer choices:

cosine

cotangent

cosecant

secant

Answers

The correct answer is Cotangent

Word Problem:
Adult ticket for a football match costs $18.40 a child's ticket is $3.80 less then the adult's ticket then what will be the cost of a child's ticket ? find the total cost of ticket's of a man has to buy 5 Adult and 3 child ticket.

Answers

81910 is the total answer

Answer:

the answer is 135.8 plzz mark me the brainliest

Plss help me with this equation

Answers

Answer:

x = 110 degree

Step-by-step explanation:

Hope this helps u !!

Which equation would show the original function y = f(x) shrunk by a factor of 1/5, reflected
across the x-axis, translated 3 units left and 4 units down?
A. y = -1/5 f(x – 3) - 4
B. y = 1/5 f(x – 3) - 4
C. y = 5 f(x - 3) + 4
D. y = -1/5 f(x + 3) – 4

Answers

Answer:

B, I don't remember the reasoning but I know that's the answer

pls help me solve pls show how you got the answer

Answers

Step-by-step explanation:

the answer is number a 88 CM square

hey, if the volume is 8cm^3, each side will be 2 cm, why? because 8√3 equals 2. or 8=2×2×2.

so each side equals 2.

to calculate the surface area, we need to calculate one square's area and multiples it by the number of the surfaces.

to calculate a square's area: 2×2=4

so each square has the surface of 4cm^2

now we count to see how many squares do we have.

we've got 22 surfaces.

so 22×4=88cm^2

then option C is the answer

my mother tongue isn't English so my apologies if I couldn't explain well

In the trapezium ABCD, AB= 4 cm, BC=9 cm, CD= 16 cm, BCD=90°.
Find AD.

Answers

Answer :

The value of AD will be 15 cm.

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

What is the answer for this?

Answers

Answer:

D. Four right angles

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

one of the property of all rectangles is that it has four right angles

:-)

Find the total surface area of the rectangular prism in square millimeters. 2cm 6 cm 9cm

Answers

Answer:  168 square cm

==============================================

Work Shown:

L = 2 = lengthW = 6 = widthH = 9 = height

The order of length, width and height doesn't matter

SA = surface area of rectangular prism

SA = 2*(LW + LH + WH)

SA = 2*(2*6 + 2*9 + 6*9)

SA = 2*(12 + 18 + 54)

SA = 2*(30+54)

SA = 2*(84)

SA = 168 square cm

Please help, I will really appreciate all your help please :(

Answers

Answer:

should be y=-2/1x+2

Step-by-step explanation:

because the slope is going down 2 over 1 and the y-intercept is at positive 2

Find the exact value, without a
calculator
711/6
sin
2

tan
12
711/6
COS
2
? ] + [
- √

Answers

Answer:

The answer to calculate this will be:

5

π

6

The required value of tan(7π/12) = √[(2+√3)/(2-√3)].

To find the exact value of tan(7π/12).

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.

[tex]tanx =\sqrt{ \frac{1 -cos2x}{1 + cos2x} }[/tex]

tan(7π/12) = √ [ (1 - cos2(7π/12) ) / (1 + cos2(7π/12) ]
                 =  √ [ (1 - cos(7π/6) ) / (1 + cos(7π/6) ]

                  =  √ [ (1 - cos(π + π/6) ) / (1 + cos(π + π/6) ]
Since cos(π + x) = -cosx
                 =  √ [ (1 + cos(π/6) ) / (1 - cos(π/6) ]

Here, cos( π/6 ) = √3/2
                  =  √ [ (1 + √3/2 ) / (1 - √3/2 ]
                 =  √ [ (2 + √3)/2  / (2- √3)/2 ]
                 = √ [ (2 + √3) / (2- √3) ]


Thus, the required value of tan (7π/12) = √ [ (2+√3)/(2-√3) ].

Learn more about trigonometry equations here:

https://brainly.com/question/22624805

#SPJ2

find the complement of 63°​

Answers

Answer:

63=90-63= 27

Bye

The angle measurements in the diagram are represented by the following expressions.
LA=5x-5°
ZB = 3x + 13°
B

Answers

Answer:

x=9

Step-by-step explanation:

angle A =angle B (because they are corresponding angles)

5x-5=3x+13

5x-3x=13+5

2x=18

x=18/2

x=9

angle A=5x-5

=5*9-5

=45-5

=40

angle B=3x+13

=3*9+13

=27+13

=40

Answer:

A = B

5X-5 = 3X+13

5X-3X. =13+5

2X =18

X = 9

5X-5

(5×9)-5

45-5

=40

ANGLE A=ANGLE B =40

Please help i'm struggling with this!It's urgent!

Answers

Answer:

Step-by-step explanation:

Dilation

Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?

5n – 300 = 1,500
5n + 300 = 1,500
5n – 200 + 100n = 1,500
5n – 100 – 200n = 1,500

Answers

Answer:

The first one, A

Step-by-step explanation:

DJ costs $300 in total.

For every student there is $5.

We want a profit of 1,500, so the total money earned from students attending subtracted by the costs of the DJ should be 1,500.

5n - 300 = 1,500

For the second one, it'll be the DJ giving you $300.

The last Two answers has an n where it's supposed to be money when n represents each student.

Answer:

it would be A

Step-by-step explanation: MUHAMMADO AVDOLLLLLL

5x raised to 3+4 x raised to 2 - 6​

Answers

Answer:

[tex]125x^3 + 16x^2 -6[/tex]

Step-by-step explanation:

Given :

5x raised to 3 , that is =

                             [tex](5x)^3 = 5^3 \times x^3 = 125 x^3[/tex]

4x raised to 2 , that is =

                             [tex](4x)^2 = 4^2 \times x^2 = 16 x^2[/tex]  

Final step : (5x raised to 3) + ( 4x raised to 2) - 6, that is =

                                                                                [tex](5x)^3 +(4x)^2 - 6 \\\\=125x^3 + 16x^2 -6[/tex]

La Sra. Conley le pregunta a su clase qué tipo de fiesta quieren tener para celebrar su comportamiento ejemplar. De todos los estudiantes en la clase, 5 quieren una fiesta de helado, 7 quieren una fiesta de películas, 10 quieren una fiesta de disfraces y los demás están indecisos. Si el20%, quiere una fiesta de helado, ¿cuántos estudiantes hay en la clase?

Answers

Answer:

En la clase hay 25 alumnos.

Step-by-step explanation:

La regla de tres es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y una incógnita, estableciendo una relación de proporcionalidad entre todos ellos.

De todos los estudiantes en la clase, 5 quieren una fiesta de helado. Sabiendo que el 20% de los estudiantes de la clase quiere una fiesta de helado, se puede aplicar la regla de tres: si el 20% de los estudiantes de la clase son 5 estudiantes, el 100% (totalidad de los alumnos) cuántos alumnos son?

[tex]totalidad de los alumnos=\frac{100*5}{20}[/tex]

totalidad de los alumnos= 25

En la clase hay 25 alumnos.

1) Paul is buying stock to add
to his portfolio. The cost of the
stock is $60 per share. The
broker that he's buying from
also charges a processing fee
of $100.

Answers

Is there more to this question?
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