What equation results from completing the square and then factoring?

x^2 + 4x = 5

A. (x + 2)^2 = 3

B. (x + 2)^2 = 7

C. (x + 2)^2 = 1

D. (x + 2)^2 = 9

Answer:

Option 4 is correct.

Step-by-step explanation:

To find: Polynomial whose solution are not real numbers.

Given Polynomials are Quadratic Polynomial.

So, we can check if solution of quadratic polynomial by find & checking value of discriminant.

Standard form of Quadratic polynomial is given by

ax² + bx + c

then Discriminant, D = b² - 4ac

If, D > 0 ⇒ Solutions are distinct real numbers

if, D = 0 ⇒ Solutions are equal real numbers

if, D < 0 ⇒ Solutions are not real numbers (They are complex conjugates)

Option A:

By comparing with standard form

a = 1 , b = -6 , c = 3

D = (-6)² - 4 × 1 × 3 = 36 - 12 = 24 > 0

Thus, Solutions are Real numbers.

Option B:

By comparing with standard form

a = 1 , b = 4 , c = 3

D = (4)² - 4 × 1 × 3 = 16 - 12 = 4 > 0

Thus, Solutions are Real numbers.

Option C:

By comparing with standard form

a = -1 , b = -9 , c =-10

D = (-9)² - 4 × (-1) × (-10) = 81 - 40 = 41 > 0

Thus, Solutions are Real numbers.

Option D:

By comparing with standard form

a = 1 , b = 2 , c = 3

D = (2)² - 4 × 1 × 3 = 4 - 12 = -8 < 0

Thus, Solutions are not Real numbers.

Therefore, Option 4 is correct.

Step-by-step explanation:

Answer:

well it's says for a its 35° and B is 100° to find x it would be 180-(35+110)=x

Step-by-step explanation:

180-(35+110)=180-145=35. so x=35°

Answer:

17.0625

Step-by-step explanation:

Due to order of operations the division and multiplication get done first and the we add the 12

Answer:

2.89285714

Step-by-step explanation:

9x9/16+12

81/16+12

5.0625 + 12 = 17.0625

Hope this helps :)

The fact that one chooses an oatmeal cookie, eating it and then choosing a peanut butter cookie from a container of cookies is an independent event.

It should be noted that dependent events influence the probability of the other events.

In this case, the fact that one chooses an oatmeal cookie, eating it, and then choosing a peanut butter cookie from a container of cookies is an independent event.

On the other hand, drawing the name "Sally" from a hat and replacing it, and then drawing the name "Malcolm" from the hat is a dependent event.

Learn more about dependent event on:

https://brainly.com/question/1673286

D. 40 ft.

Based on the given conditions, formulate:

[tex]30\times20\div15[/tex]

Calculate

[tex]\frac{30\times20}{15}[/tex]

Cross out the common factor

[tex]2\times20[/tex]

Calculate the product or quotient

[tex]40[/tex]

___________________________________________________

C. Yes, Right Triangle Similarity Theorem

[tex]-\ If\ an\ altitude\ is\ drawn\ to\ the\ hypotenuse\ of\ a\\ right\ triangle,\ then\ the\ two\ triangles\ formed\ are\\ similar\ to\ the\ original\ triangle\ and\ to\ each\ other.[/tex]

____________________________________________________

D. 23.40 ft.

[tex]height\ of\ tree:x[/tex]

[tex]\frac{x}{s_0-d_0}=\frac{39}{50}[/tex]

[tex]x=\frac{30.39}{50}[/tex]

[tex]=23.40ft[/tex]

[tex]\left \{ {{calculate\}[/tex]

I hope this helps you

:)

Answer:15

Step-by-step explanation:

3+1/2=3/2

3/2*10=3*5=15

15

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The given function has Amplitude of 3, and by seeing it we can conclude that it's a sine function.

Therefore, we can conclude that the required Answer is ~

[tex]\qquad \sf  \dashrightarrow \:c. \: f(t) = 3 \sin(4t) [/tex]

The sinusoidal function is represented as y = 3 sin 4t. Then the correct option is C.

It is a function that repeats itself in a particular time interval.

The sine function is given as

y = A sin (wt + Ф)

where A is the amplitude, w frequency, and Ф is the phase difference.

From the graph, the value of the amplitude will be 3, the frequency will be 4, and the phase difference will be 0. Then the equation will be

y = 3 sin4t

More about the sine function link is given below.

https://brainly.com/question/3876065

#SPJ2

Answer:

y is equal to 4 if that's what ur asking for

Answer:

16 if ur asking for y^2+4=20

Step-by-step explanation:

Answer:

(A) :

[tex]y = - \frac{5}{2} x + 40[/tex]

(B) : it is a decreasing linear graph. this means that the amount Shikita owes is lesser by $2.50 amount each week

Step-by-step explanation:

shown in the attatchment

Step-by-step explanation:

The solutions are

S

=

{

30

º

,

150

º

,

270

º

}

Explanation:

The equation is

2

sin

2

θ

+

sin

θ

−

1

=

0

We can factorise the LHS

(

2

sin

θ

−

1

)

(

sin

θ

+

1

)

=

0

Therefore,

sin

θ

=

−

1

,

⇒

,

θ

=

270

º

sin

θ

=

1

2

,

⇒

,

θ

=

30

º

,

150

º

Answer:

168

Step-by-step explanation:

yea..

Let C be the total cost;

[tex]c = 28 \times 30 = 840[/tex]

Let R be the total revenue;

[tex]r = 28 \times 25 = 700[/tex]

Let P be the net profit;

[tex]p = r - c[/tex]

[tex]p = 700 - 840 = - 140[/tex]

There was a 140$ net loss.

Answer:

14 1/13

Step-by-step explanation:

13/4*13/3=169/12=14 1/13

{13, 13, 13, 15, 15, 16, 16, 17, 17}

the median is 15

Answer:

it is 15.

Step-by-step explanation:

the median is the middle number in the data set. in this case, 15 is in the middle.

Answer:

D because I was doing it for a while and I know it

Answer:

46.66% chance of red marble

Step-by-step explanation:

Red Marbles / Total Marbles gives you the percent

14 / 30 = 46.66%

Answer:

Step-by-step explanation:

[tex]\bf \text{width = $\dfrac{Area}{length}$}[/tex]

[tex]\bf w =\dfrac{55}{m}[/tex]

Answer:

Step-by-step explanation:

Holding the perimeter fixed, the shape with greatest area is square ( all sides of the same) length) For your name example a square with a perimeter of 20 cm has sides of 5 cm and area of 5 times 4=20 cm) ^3 hope this helps

Answer:

about 14 percent but the exact is 14 3

Answer:

8.

x

12

9

4.5

9.

3, 4, 12

3, 3, 12

6, 12

-6, -12

2

10.

plug in x to check work

Step-by-step explanation:

8.

1/2(x + 24) = 21

1/2x +12 = 21

1/2x = 9

x = 18

9.

28 - 3x - 4 = 2x + 12 + x

24 - 3x = 3x + 12

24 - 6x = 12

-6x = -12

x = 2

10.

3x - 18 + 6 = 5x - 6

3x - 12 = 5x - 6

-2x - 12 = -6

-2x = 6

x = -3

hope it help.

can you answer my question, i can help you in math, can you help me in english? please

Answer:

lj= lk din 30 give lj= 4✓2

and ml=x= lj cos 45

on solving x= 4✓2 cos45=4

Answer:

1 (the answer will always be 1)

Step-by-step explanation:

Let's forget about the absolute value signs for a second and just look at what's inside

[tex]\frac{x+y}{-x-y}[/tex]

This can be rewritten as

[tex]-\frac{x+y}{x+y}[/tex]

When you have the same numerator and denominator, it will always come out to 1, so we can just say that this is saying

[tex]-\frac{x+y}{x+y} = -1[/tex]

Now, back to the absolute value signs

This comes out to negative 1, but the absolute value signs means to always change the negative to a positive (but if it's a positive, it stays positive!)

So that means:

[tex]|-1| = 1[/tex]

and 1 is your answer

Answer:

9 2/3% (or 9.66666666666%)

Step-by-step explanation:

A percent is a ratio out of 100, as this answer is out of 100, the percent is just 9 2/3%.

Answer:

Step-by-step explanation:

B(0, -14) ⇒ x₁ = 0 & y₁ = -14

F(4,6) ⇒  x₂ = 4 & y₂ = 6

[tex]Midpoint = \left(\dfrac{x_{1}+x_{2}}{2}, \dfrac{y_{1}+y_{2}}{2} \right)[/tex]

                [tex]=\left(\dfrac{0+4}{2},\dfrac{-14 + 6}{2}\right)\\\\\\= \left(\dfrac{4}{2}, \dfrac{-8}{2} \right)\\\\\\=\left(2, -4 \right)[/tex]

Answer:

54

Step-by-step explanation:

Multiply:

37x37=72

Subtract:

180-72=108

Divide:

108/2=54

Answer:

143 degrees

Step-by-step explanation:

37(2) + 2x = 360
74 + 2x = 360
2x = 286

x = 143

Hope this helps :)

Answer:

[tex]\sf (x+2)^2+(y-2)^2=2[/tex]

Step-by-step explanation:

If RS is the diameter of the circle, then the midpoint of RS will be the center of the circle.

[tex]\sf midpoint=\left(\dfrac{x_s-x_r}{2}+x_r,\dfrac{y_s-y_r}{2}+y_r \right)[/tex]

             [tex]\sf =\left(\dfrac{-1-(-3)}{2}+(-3),\dfrac{3-1}{2}+1 \right)[/tex]

             [tex]\sf =(-2, 2)[/tex]

Equation of a circle:   [tex]\sf (x-h)^2+(y-k)^2=r^2[/tex]

(where (h, k) is the center and r is the radius)

Substituting found center (-2, 2) into the equation of a circle:

[tex]\sf \implies (x-(-2))^2+(y-2)^2=r^2[/tex]

[tex]\sf \implies (x+2)^2+(y-2)^2=r^2[/tex]

To find [tex]\sf r^2[/tex], simply substitute one of the points into the equation and solve:

[tex]\sf \implies (-3+2)^2+(1-2)^2=r^2[/tex]

[tex]\sf \implies 1+1=r^2[/tex]

[tex]\sf \implies r^2=2[/tex]

Therefore, the equation of the circle is:

[tex]\sf (x+2)^2+(y-2)^2=2[/tex]

Answer:

Step-by-step explanation:

Let the number = 'x'

Product of number and eight ⇒ 8*x = 8x

Nine more than the product of 8x ⇒add 9 to 8x

8x + 9 = 4

      8x = 4 - 9

     8x = -5

       x = -5/8

15% decrease means the bill would be 85% of the original bill ( 100% -15% = 85%)

multiply the current bill by 85%

2100 x 0.85 = 1.785

the bill would be $1,785

Answer: I think its 75 percent

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

The shaded is part of the poster 9/12

To convert 9/12 into a percent

100 ÷ 12 = 8.3333333333333

[tex]\frac{9*8.3333333333}{12*8.3333333333} = \frac{75}{100}[/tex]