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When completing the square is carried out on the quadratic [tex]x^2+11x[/tex] we get

[tex]x^2+11x+\dfrac{121}{4}[/tex]

when expressed as a binomial squared, we get

[tex]\left(x+\dfrac{11}{2}\right)^2[/tex]

To complete the square, we need to add a term to the expression

[tex]x^2+11x[/tex]

that would make it a perfect square. Generally, given the quadratic expression

[tex]x^2+bx[/tex]

to make it a perfect square, we have to add half the square of the coefficient of [tex]x[/tex]. That is, add [tex]\left(\frac{b}{2}\right)^2[/tex], or [tex]\frac{b^2}{4}[/tex] to the quadratic expression to get

[tex]x^2+bx+\dfrac{b^2}{4}[/tex]

which, when factored into a binomial squared becomes

[tex]\left(x+\dfrac{b}{2}\right)^2[/tex]

In our case, the quadratic [tex]x^2+11x[/tex] will become

[tex]x^2+11x+\dfrac{121}{4}[/tex]

and when expressed as a binomial squared, we get

[tex]\left(x+\dfrac{11}{2}\right)^2[/tex]

Learn more about completing the square here https://brainly.com/question/2055939

Answer:

[tex]x^{2}[/tex] +11x+ [tex]\frac{121}{4}[/tex]= [tex](x+\frac{11}{2} )^{2}[/tex]

Step-by-step explanation:

.

Answer:

9

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

45% of 80 = 36

Answer:

[tex]0.45 + 0.25q = 3.70[/tex]

Step-by-step explanation:

Given that:

Number of nickels with Ferrell = 9

Number of quarters = [tex]q[/tex]

Value of coins = $3.70

To find:

The equation to find the number of quarters.

Solution:

Value of a nickel = 5 quarters = $0.05

Value of 9 nickels = [tex]9 \times 0.05 = \$ 0.45[/tex]

Value of a quarter = $0.25

Value of [tex]q[/tex] quarters = $0.25[tex]q[/tex]

Total value of coins = Value of 9 nickels + Value of [tex]q[/tex] quarters[tex]\$0.45 + \$0.25q = \$3.70\\\Rightarrow 0.25q=3.70-0.45\\\Rightarrow 0.25q=3.25\\\Rightarrow q =13[/tex]

So, the answer is, number of quarters available with Ferrell = 13

The equation to be used to find the number of quarters, [tex]q[/tex]:

[tex]0.45 + 0.25q = 3.70[/tex]

Answer:

m/n=9/4

Step-by-step explanation:

4m = 9n

m/n=9/4

Answer:

n ≥ 42

Step-by-step explanation:

n -23 ≥ 19      add 23

n ≥ 48

Answer:

Step-by-step explanation

This  helped me

Answer:What is the rate of change of e=3h+200

Step-by-step explanation:

Answer:

1x^2+8x

Step-by-step explanation:

Combine like terms

6x^2+(-5x^2)+10x+(-2x)+(-1)+1

1x^2 +8x+0

And there you go

Answer:

[tex]\frac{21}{100}[/tex]

Step-by-step explanation:

As you can see in the table, there are 21 people that have dogs but don't take walks. To find the probability, divide 21 by the total amount of people that attended the survey:

[tex]\frac{21}{100}[/tex]

This fraction can't be simplified.

The probability, represented as a fraction in simplest form, that a randomly selected person does not take walks but has a dog is [tex]\frac{21}{100}[/tex].

Answer:

7.80

Step-by-step explanation:

46.80 divided by 6 is 7.80

Answer:

I got to say Post Malone.

Step-by-step explanation:

1. He isn’t afraid to be relatable:

2. He brings his quirks to his Interviews:

3. His music breaks multiple genres:

4. The success of his first album:

7. He’s only 22:

Answer:

m=4

Step-by-step explanation:

−9(m+3)+14=−49

Step 1: Simplify both sides of the equation.

−9(m+3)+14=−49

(−9)(m)+(−9)(3)+14=−49(Distribute)

−9m+−27+14=−49

(−9m)+(−27+14)=−49(Combine Like Terms)

−9m+−13=−49

−9m−13=−49

Step 2: Add 13 to both sides.

−9m−13+13=−49+13

−9m=−36

Step 3: Divide both sides by -9.

−9m

−9

=

−36

−9

m=4

Answer:

i woluld say B 9.5 IN

Step-by-step explanation:

Answer:

Perimeter of rectangle is 23.34

Step-by-step explanation:

The coordinates of the vertices of a rectangle are (-4, 3), (-1, 5),(3, – 1), and (0, – 3).

What is the perimeter of the rectangle?

The formula to find perimeter of rectangle is: [tex]Perimeter=2(l+w)[/tex]

We need to find length and width first using the coordinates (-4, 3), (-1, 5),(3, – 1), and (0, – 3).

Let A=(-4, 3) B=(-1, 5) C=(3, – 1) and D=(0, – 3) according to the figure attached.

So, If we find distance of point AB it can be considered length of rectangle and distance of point AC can be considered width of rectangle

The formula used to find distance is: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Finding distance AB, we have [tex]x_1=-4, y_1=3, x_2=-1, y_2=5[/tex]

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(-1-(-4))^2+(5-3)^2}\\Distance=\sqrt{(-1+4)^2+(5-3)^2}\\Distance=\sqrt{(3)^2+(2)^2}\\Distance=\sqrt{9+4}\\Distance=\sqrt{13}\\Distance=3.61[/tex]

So distance between point A and B is 3.61

Finding distance AC, we have [tex]x_1=-4, y_1=3, x_2=3, y_2=-1[/tex]

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(3-(-4))^2+(-1-3)^2}\\Distance=\sqrt{(3+4)^2+(-1-3)^2} \\Distance=\sqrt{(7)^2+(-4)^2} \\Distance=\sqrt{49+16} \\Distance=\sqrt{65}\\Distance=8.06[/tex]

So, distance between point A and C is 8.06

We have length = 3.61 and width = 8.06

Using formula of perimeter

[tex]Perimeter=2(l+w)\\Perimeter=2(3.61+8.06)\\Perimeter=2(11.67)\\Perimeter=23.34[/tex]

So, Perimeter of rectangle is 23.34

Answer:

(4,-5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

All you need o divide 3,300 by 50

  3300

÷     50

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66

so ever minute he would most likely type 66 words

Answer:

I'm pretty sure it's B.

Answer:

B. y=-4/3x+4

Step-by-step explanation:

Find the y-intercept you will always find it on the y axis (in this case it is 4)

the slope is -4/3 because you go down 4 times (Going down is negative up is positive) and right 3 times (Right is positive and left is negative)

Slope= rise/run

Hope this helps!

Answer:

18.05

Step-by-step explanation:

0.65×3=1.95

20-1.95=18.05

Answer:

118 ounces

Step-by-step explanation:

14.75 • 8 = 118

Given :

A group of 106 campers sits in a big circle.

The camp leader tells them to say "hello" to each camper sitting to their left and right.

To Find :

What is the total number of times the campers say "hello".

Solution :

It is given that each camper say "hello" to each camper sitting to their left and right i.e each camper says "hello" twice.

Therefore, 106 campers will say hello = 106 × 2 = 212 times.

Hence, this is the required solution.

Answer:

4.5

Step-by-step explanation:

Answer:

9 meters per 2 second or 4.5

Step-by-step explanation:

divide both by ten : )

Answer:

a

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

Answer: six amount of 0.15 and 7 amount of 0.35

Step-by-step explanation:

I am pretty sure this is correct, i am trying my best

so the picture to the left is the first part and the one on the right is the second due to the lack of space on the screen

                                                       Answer

Hope this helps! <3

Answer:

the answer is [tex]6x+3y[/tex]

Step-by-step explanation:

[tex]\mathrm{Remove\:parentheses}:\\=11x+2y-\left(5x-y\right)\\\\-(5x-y): -5x+y\\=11x+2y-5x+y\\Simplify:\\11x+2y-5x+y: 6x+3y\\\\=6x+3y[/tex]

hope this helps :)

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

Answer:

Answer. circumference = 151 m ( appr.) Ans :- The cost of fencing is Rs 604 .

Answer:

it's D all real numbers whose distance from 0 is less than 10.

Answer:

13 1/3

Step-by-step explanation:

So the question is Marita's nose is 2 inches long and her head is 9 inches tall. Assume Mount Rushmore was carved using the same ratio. If Teddy Roosevelt's head is 60 feet tall, how long should his nose be? Round to the nearest foot, if necessary.

First divide 60 by 9 to figure out the first part of the ratio. So that is 60/9 or    6 2/3.

Then multiply 2 by 6 2/3 which is 13 1/3.

Finally when rounded to the nearest foot, it will be 13.

Ur welcome

Answer: The other person eats 5/6ths of a pizza

Step-by-step explanation:

put it into sixths

Answer:

5 /6

Step-by-step explanation:

may be 5/ 6 is the correct one