What is the measure of 2x?

The square to make a perfect square trinomial as a binomial squared is

(q + 7/2q)² - 49/4.

We have been given that the expression -

q² + 7q.

We have to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

We know that a perfect square trinomial is in form .

a² + 2ab + b².

To convert our given expression into perfect square trinomial, we need to add and subtract (b/2)² from our given expression.

We can see that value of b is 7, so we need to add and subtract (7/2)²  to our expression as:

To complete the square, we will add the square of the half of the coefficient of q to the equation

Coefficient of q = 7

Half of the coefficient = 7/2

Square of the result = (7/2)² = 49/4

Adding 49/4 to the equation will make it a perfect square to have

Upon comparing our expression with , we can see that ,

(a + b)² = a² + 2ab + b²

now we can get

q² + 7q + 49/4 - 49/4

(q + 7/2q)² - 49/4

Therefore, our perfect square would be (q + 7/2q)² - 49/4 .

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Answer:

Area: [tex]27y^{3} -24y^{2}[/tex]

Perimeter: [tex]6y^{2} +7y+5[/tex]

Step-by-step explanation:

Area:

[tex]\frac{1}{2}[/tex] x base x height

[tex]6y^{2} (\frac{1}{2} )(9y-8)\\3y^{2} (9y-8)\\27y^{3} -24y^{2}[/tex]

Perimeter:

[tex]6y^{2} +4y+(3y+5)\\6y^{2} +7y+5[/tex]

Answer:

NL= 2 × HI

x+24 =2 × (X+16)

x+24=2x + 32

2x-x= 24-32

x= – 8

NL=x+24 = –8 +24= 16

So ; NL= 16

I hope I helped you^_^

Answer:

estuvo muy Bien jwjejehebqkwjshhshshshhebwwhwbhwhwuwjwywgegevwhwvwgww

Answer:

Naosei

Step-by-step explanation:

Answer:

D = 8y-15

Step-by-step explanation:

-y-9y-15 than combine -y and -9y

so = 8y-15

Step-by-step explanation:

Write the expression

[tex] \sqrt{ \frac{3}{8} } [/tex]

Let make the denominator a perfect square that is a multiple of 8. 16 is a multiple of 8 and a perfect square so

[tex] \sqrt{ \frac{3}{8} } = \sqrt{ \frac{6}{16} } [/tex]

Know that

[tex] \sqrt{ \frac{x}{y} } = \frac{ \sqrt{x} }{ \sqrt{y} } [/tex]

So

[tex] \sqrt{ \frac{6}{16} } = \frac{ \sqrt{6} }{4} [/tex]

The simplified form of the square root of 3/8 is (√6) / 4.

To simplify the square root of 3/8, we can simplify the numerator and denominator separately.

For the numerator, we take the square root of 3:

√3

For the denominator, we take the square root of 8:

√8

Now, let's simplify each of them:

√3 cannot be simplified further because 3 is a prime number.

√8 can be simplified by factoring out the perfect square:

√8 = √(4 × 2)

Since 4 is a perfect square (2² = 4), we can take it out of the square root:

√8 = 2√2

Now, let's put the simplified numerator and denominator together:

√3/8 = √3 / (2√2)

To rationalize the denominator, we multiply the expression by the conjugate of the denominator:

(√3 / (2√2)) × (√2 / √2) = (√3√2) / (2√2√2)

Simplifying the denominator:

(√3√2) / (2√4) = (√6) / (2 × 2)

Simplifying further:

(√6) / (2×2) = (√6) / 4

Therefore, the simplified form of the square root of 3/8 is (√6) / 4.

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Answer:

|1| = 1

|-4| = 4

|-3| = 3

|2| = 2

Step-by-step explanation:

The absolute value function is defined by

[tex]|x|=\begin{cases}x,&x\ge0\\-x,&x<0\end{cases}[/tex]

Since 1>0, we have |1| = 1.

Since -4<0, we have |-4| = -(-4) = 4.

Since -3<0, we have |-3| = -(-3) = 3.

Since 2>0, we have |2| = 2.

Answer:

I may be wrong but I'm pretty sure that it is -12

Step-by-step explanation:

2×-2=0 -12+0=-12

Answer:

Step-by-step explanation:

Answer:

20.4

Step-by-step explanation:

I have no explanation for this but hope this helps

Answer:

8. 16,648

9. 1,394

10. 3

11. 9,570

Step-by-step explanation:

8. Total means all together so you need to add all of the attendants together.

2118 + 3391 + 4785 + 6354 = 16,648

9. How many more signifies the need to use subtraction to get your answer so you need to subtract the number of attendants in 2011(3,391) from the number of attendants in 2012(4,785)

4,785 - 3,391 = 1,394

10. How many times more signifies the need to use division in order to get the answer since it is the opposite of multiplication. So, you need to divide the number of attendants in 2010(2,118) from the number of attendants in 2013(6,354)

6,354 / 2,118 = 3

11. Twice the attendance signifies the need to use multiplication to find your answer so you need to multiply the number of attendants in 2012(4,785) twice(2).

4,785 x 2 = 9,570

Hope this helped! <3

Answer:

78.5 ft^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

r = d/2 where d is the diameter

r = 10/2 = 5

A = 3.14 ( 5)^2

A = 78.5 ft^2

Answer:

√11 is the irrational number

Explanation:

Irrational numbers are which numbers that can't be expressed as p/q form that are irrational numbers. root 11 cant be expressed as p/q form so, this is an irrational number.

Answer:

120

Step-by-step explanation:

There are 60 seconds in one minute so you would 4 times 30 since Noel can STACK 4 BLOCKS per 2 seconds.

Q7

7/25

(Decimal: 0.28)

Step-by-step explanation:

Here's the little secret you can use to instantly transform any fraction to a decimal: Simply divide the numerator by the denominator:

= 7/25

= 7 ÷ 25

= 0.28

The percentage of 45 out of 120 is 38%  thus 38% calories from fat.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

Given that,

Total calories = 120

Calories from fat = 45

Fraction of calories from fat = 45/120 = 0.38

Percentage of calories from fat out of total calories ⇒

(45/120) × 100 = 38%

Hence "The percentage of 45 out of 120 is 38%  thus 38% calories from fat".

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Answer:

A = P (1 + i)^n     where the principal P equals amount A after n periods

P = 1000     and i = .025 / yr

A1 = A (1.025) = 1025

A2 = A1 (1.025) = A (1.025)^2     etc

A5 = A (1.025)^5 = 1000 * (1.025)^5 = 1131 after 5 years

Answer:

[tex]f(0)=-2[/tex]

Explanation:

When looking at the value of [tex]f[/tex] at a particular input, the value is defined by the height of a solid dot, given a solid dot is present, and the value is not defined by hollow dots.

When looking at the input 0, there is a hollow dot at a height of -1 and a solid dot at a height of -2. Therefore [tex]f(0)=-2[/tex]

Answer:

2

Step-by-step explanation:

Hi ;-)

[tex]3x(2x-3)=3x\cdot2x-3x\cdot3=\\\\=\boxed{6x^2-9x}=\boxed{-9x+6x^2}[/tex]

[tex]3x(2x - 3) = 3x2x - 3x3 \\ = 6 {x}^{2} - 9x \\ thank \: you[/tex]

Answer:

The polynomial is simplified to [tex]\frac{3x+2y}{2}[/tex],[tex]\frac{3a-5b}{4}[/tex],[tex]\frac{b+4 c}{3}[/tex],[tex]\frac{5a+b+3c}{2}[/tex]

Step-by-step explanation:

Step 1 of 4

[tex]\frac{48x+32y}{32}[/tex]

[tex]=\frac{16\left(3x+2y\right)}{32}[/tex]

[tex]=\frac{16\left(3x+2y\right)}{16\cdot \:2}[/tex]

[tex]=\frac{3x+2y}{2}[/tex]

Step 2 of 4

[tex]\frac{9a-15b}{12}[/tex]

[tex]=\frac{3\left(3a-5b\right)}{12}[/tex]

[tex]=\frac{3\left(3a-5b\right)}{3\cdot \:4}[/tex]

[tex]=\frac{3a-5b}{4}[/tex]

Step 3 of 4

[tex]\frac{6b+24c}{18}[/tex]

[tex]=\frac{6\left(b+4c\right)}{18}[/tex]

[tex]=\frac{6\left(b+4c\right)}{6\cdot \:3}[/tex]

[tex]=\frac{b+4c}{3}[/tex]

Step 4 of 4

[tex]\frac{25a+5b+15c}{10}[/tex]

[tex]=\frac{5\left(5a+b+3c\right)}{10}[/tex]

[tex]=\frac{5\left(5a+b+3c\right)}{5\cdot \:2}[/tex]

[tex]=\frac{5a+b+3c}{2}[/tex]

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Answer:

tenth term is -256

Step-by-step explanation:

It is geometric progression:

[tex]a_{n} = a( {r}^{n-1} )[/tex]

r » common ratio, r = 2 ÷ (-1) = -2

a » first term, a = ½

n » number of terms, n is 10

[tex]a_{10} = \frac{1}{2} \{{( - 2)}^{10-1} \} \\ \\ a_{10} = \frac{1}{2} (-512) \\ \\ a_{10} = \frac{-256}{1} [/tex]

Step-by-step explanation:

everything can be found in the picture

Step-by-step explanation:

f(x)=-2x²-3

By replacing x with 2, we get

f(2)=-2×2²-3

=-2×4-3

=-8-3

=-11

Answer:

4 (-1 - 2(2)) + 3(-1(2)

4(-1 -4) + -6

4 (-3) + -6

-12 + -6

-18

Step-by-step explanation:

you replace the x with -1 and y with 2

Answer:

7.25 or 7 ¼ or 56 R2

Step-by-step explanation:

Answer:

In Calculator, Quotient is 7.25

                   0      7  

   8 ⟌ 5 8  

     - 0    

       5 8  

     - 5 6  

         2  

But when we do long division the quotient is 7 and remainder is 2.

Hope it helps!

Don't forget to mark me brainiest if you got it correct.

Answer:

11

Step-by-step explanation:

The answer will be 11

as she is thinking of prime number so

111 is not a prime number

aswell as 77 is not a prime number

11 is a prime number and is also a multiple of 11

Answer:

11

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Pick up one of the pizzas. Cut it into three equal amounts. Do the same with the other pizza. Each slice is called 1/3.

Each person gets 1/3 + 1/3 which is called 2/3.

The amount of pizza each friend will get, as expressed as a fraction is: 2/3.

Fractions can be described as numerical quantities that are a part of a whole number but are not whole numbers.

There are 2 pizzas to be shared among 3 friends. Since 3 is greater than 2, the amount each will get will be a fraction.

Each friend will get: 2/3 pizzas.

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Answer:

nope

Step-by-step explanation:

Since the Euler's formula does not hold true for the given number of faces, edges and vertices, therefore, there does not exist any polyhedron with 10 faces, 20 edges and 15 vertices.

Answer:

Angle DBC = 51

Step-by-step explanation:

Angle ABC = angle ABD + angle DBC

We are given that angle ABC = 122 and angle ABD = 71

So 122 = 71 + angle DBC

* Solve for angle DBC *

Subtract 71 from both sides

122 - 71 = 71 - 71 + angle DBC

51 = angle DBC

Answer:

Step-by-step explanation:

12 = 11 1/12 + ____

=> 12 - 11 1/12 = ____

=> (144 - 133) / 12 = ____

=> 11/12 = _____

Hence,

11/12 is the answer

Answer:

 [tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]