4. The method of completing the square was used to solve the equation 2x^2 - 12x + 6 = 0. Which equation is a
correct step when using this method?
A. (x - 3)^2 = 6
B. (x - 3)^2 = -6
C. (x - 3)^2 = 3
D. (x - 3)^2 = -3



Pls help

The value of the cox will be equal to Cosx=[tex]\pm[/tex]0.95

It is given that

The value of Sinx=0.3

Now we know that

[tex]Sin^2x+Cos^2x=1\\\\0.3^2+Cos^2=1\\\\Cos^2=1-0.3^2\\\\Cos^2x=1-0.9\\\\Cos^x=0.91\\\\Cos=\sqrt{0.91}\\\\Cosx=\pm 0.95[/tex]

Hence the value of  Cosx=[tex]\pm[/tex]0.95

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Answer:

Perimeter = 36 meters.

Area = 81 meters.

Step-by-step explanation:

To find the perimeter of a square you have to add all sides.

To find its area you have to multiply the base by the height of a square.

Answer:

x can equal 2, 1, 0, -1, -2.  A line graph is shown below.

Step-by-step explanation:

The absolute value means simply changing any negative number into a positive number. In this case, anything less than three and more than -3. If it was negative 3, then it would turn into 3. Which isn't less than. This means we can do  :  2, 1, 0, -1, -2.

x can equal 2, 1, 0, -1, -2.

The universal set contains all possible elements in the set

The sets are given as:

Where the universal set is:

U = {all integers}

The set B is the set of all even integers.

So, its complement would be the set of all odd integers i.e. set D

Hence, the complement of set B is the set D.

From the set definition, we have:

C = {x | x ∈ U and 2x is an odd integer}

This means that the set C contains elements 2x, where 2x is an odd number.

The element x is an integer, and twice an integer (i.e. 2x) is an even number.

This means that 2x cannot be an odd number;

Hence, the empty set is the set C;

The subset E = {1, 3, 5, 7} contains odd integers.

From the set definition, set D represents the set of odd integers

Hence, the set D contains the subset E = {1, 3, 5, 7}

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Answer:

D,C,D

Step-by-step explanation:

On edge 2023

Answer:

  82 2/9 square meters

Step-by-step explanation:

The problem statement gives us two relations between length and width. We can write those using equations and the variables L and W for length and widh, in meters.

  P = 2(L +W) . . . . . . formula for the perimeter of a rectangle

  38 = 2(L +W) . . . . . the perimeter is 38 meters

  (L -3) = 2(W -2) . . . . length less 3 is twice the difference of wdith and 2.

__

Dividing the first equation by 2 gives ...

  19 = L +W

Solving this for L gives ...

  L = 19 -W

Substituting for L in the second equation, we have ...

  (19 -W) -3 = 2(W -2)

  16 -W = 2W -4 . . . . . . . simplify

  20 = 3W . . . . . . . . . . . add W+4

  W = 20/3 . . . . . . . . . divide by 3

  L = 19 -20/3 = 37/3 . . . . find L from W

__

The area of the farm is the product of length and width:

  A = LW = (37/3 m)(20/3 m) = 740/9 m²

  A = 82 2/9 m²

The area of the farm is 82 2/9 square meters.

Answer:

(3,2)

Step-by-step explanation:

Setting up equation so we can use substitution method

x - y = 1 , x + 3y = 9

step 1 set first equation equal to x by adding y to both sides so we can use the substitution method to solve the system of equations.

x = y + 1 , x + 3y = 9

now we can plug in ( or substitute hence substitution method ) the first equation into the second

Solving for y using the substitution method

x + 3y = 9

plug in x = y + 1

y + 1 + 3y = 9

combine like terms

4y + 1 = 9

subtract 1 from both sides

4y = 8

divide both sides by 4

y = 2

Now to find the value of x we plug in the value of y into one of the equations and solve for x.

Solving for x

x - y = 1

y = 2

x - 2 = 1

add 2 to both sides

x = 3

The solution would be (3,2)

Answer:

x = 3 and y = 2 or (3,2) in coordinate form

Step-by-step explanation:

Given:

[tex]\displaystyle \large{\begin{cases} x-y=1 \\ x+3y=9 \end{cases}}[/tex]

Solve by elimination of x-terms by multiplying either one of equations with -1:

For this, I choose to multiply -1 in first equation:

[tex]\displaystyle \large{\begin{cases} -1(x-y=1) \\ x+3y=9 \end{cases}}\\\displaystyle \large{\begin{cases} -x+y=-1 \\ x+3y=9 \end{cases}}[/tex]

Then add both equations:

[tex]\displaystyle \large{-x+x+y+3y=-1+9}\\\displaystyle \large{4y=8}[/tex]

Divide both sides:

[tex]\displaystyle \large{\dfrac{4y}{4} = \dfrac{8}{4}}\\\displaystyle \large{y=2}[/tex]

Next, substitute y = 2 in one of equations to solve for x:

For this, I choose to substitute y = 2 in the first equation:

[tex]\displaystyle \large{x-y=1}[/tex]

Substitute y = 2 in:

[tex]\displaystyle \large{x-2=1}[/tex]

Add both sides by 2:

[tex]\displaystyle \large{x-2+2=1+2}\\\displaystyle \large{x=3}[/tex]

Hence, the solution is x = 3 and y = 2 or you can write as in coordinate form (3,2)

__________________________________________________________

First method is elimination method, I’ll demonstrate another method which is by using matrices to find the solutions.

Given:

[tex]\displaystyle \large{\begin{cases} x-y=1 \\ x+3y=9 \end{cases}}[/tex]

Write the system of equations in matrices form:

[tex]\displaystyle \large{\left[\begin{array}{ccc}1&-1\\1&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}1\\9\end{array}\right]}[/tex]

Let:

[tex]\displaystyle \large{A=\left[\begin{array}{ccc}1&-1\\1&3\end{array}\right] }\\\displaystyle \large{X=\left[\begin{array}{ccc}x\\y\end{array}\right] \\\displaystyle \large{B = \left[\begin{array}{ccc}1\\9\end{array}\right] }[/tex]

From [tex]\displaystyle \large{AX=B \to X=A^{-1}B}[/tex] where:

[tex]\displaystyle \large{A^{-1}=\dfrac{1}{\det A} \left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right] = \dfrac{1}{ad-bc} \left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right] }[/tex]

Find [tex]\displaystyle \large{\det A}[/tex]:

[tex]\displaystyle \large{\det A = ad-bc = 3+1=4}[/tex]

Therefore:

[tex]\displaystyle \large{A^{-1} = \dfrac{1}{4}\left[\begin{array}{ccc}3&1\\-1&1\end{array}\right]}\\\therefore \displaystyle \large{X = \dfrac{1}{4}\left[\begin{array}{ccc}3&1\\-1&1\end{array}\right] \left[\begin{array}{ccc}1\\9\end{array}\right]}[/tex]

Evaluate the matrices:

[tex]\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}3(1)+1(9)\\-1(1)+1(9)\end{array}\right] }\\\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}3+9\\-1+9\end{array}\right] }\\\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}12\\8\end{array}\right]}\\\displaystyle \large{X= \left[\begin{array}{ccc}3\\2\end{array}\right] }\\\therefore \displaystyle \large{\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}3\\2\end{array}\right]}[/tex]

Therefore, the solution is x = 3 and y = 2

The required circumference of the gasket after dilation with scale factor 2 is 6.4 cm. Option C is correct.

A rubber gasket with a circumference of 3.2 cm is given. After expansion by scale factor 2 the circumference of the gasket is to be determined.

The circumference is defined as the boundary length of any circular shape.

Here,
Circumference of gasket = 3.2 cm
After dilation with scale factor 2, the circumference became.
Dilated circumference of gasket = 2*3.2 = 6.4 cm

Thus, the required circumference of the gasket after dilation with a scale factor of 2 is 6.4 cm.

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Answer:

208m^2

Step-by-step explanation:

area of hexagon = 93.53 using its equation

area of single triangle = 0.5(6*6)

area of all triangles = 6(0.5(6*6))

total area = 207.53

NWN = 208

Answer:

Step-by-step explanation:

1) Given

2) <Q is congruent to <Q by reflexive prop of congruence

3) <QBA is congruent to <QSR by alternate interior angles theorem

4) Triangle QBA is similar to triangle QSR by AA theorem

5) QA/QR=QB/QS by CPSP (corresponding parts of similar polygons are proportional)

Answer: B

Step-by-step explanation:

Answer: 192 is the volume of the shape

Step-by-step explanation: multiply the base area which is 6 and 8 equals to 48 and times the height so 48 Times 12 Equals 576. Sorryyy I don't know the surface area . Divide by 3 equals to 192

Answer:

2/15

Step-by-step explanation:

3/9*2/5=

1/3*2/5=

2/15

Answer:

418122 seconds

Step-by-step explanation:

First divide 400,500 by 50. That is 8010.

Then multiple 8010 by 52.2 and you answer is 418122 seconds. OR

6968.7 Minutes, OR 116.145 Hours, OR 4.839375 Days

Answer:

Nnnnnnnnnnnn

Step-by-step explanation:

L bozo

Answer:

Bill go the better deal

Step-by-step explanation:

43.35/15=2.89

61.82/32=2.81

Answer:

37

Step-by-step explanation:

it just it

Answer:

tan theta = root3/3

see image

Step-by-step explanation:

The tangent is y/x in the unit circle. Use Keep-Change-Flip to simplify. See image. You also cannot leave a radical (square root) on the bottom of a fraction, so we need to "fix" that also. Multiply to rationalize (the "fix") see image.

Answer:

Step-by-step explanation:

There is no picture but I can give you an explanation of how to do it. You would take each point (vertice) of the triangle and move it on the x-axis 3 and on the y-axis -2. So for example, a point-like (5,4) would become (8,2) You would then repeat this for the remaining vertices.

There are two different ways to find surface area of square pyramid

1st

[tex]\sf surface \ area \ = \ a^2 + 2(a)(l)[/tex]

2nd

[tex]\sf surface \ area = a^2+2a\sqrt{\dfrac{a^2}{4}+h^2 }[/tex]

Answer:

sample response

Step-by-step explanation: :)

You would first calculate the area of the base, which is length times width. You would then calculate the area of the faces, which is 1 2 (base times height) and multiply the result by 4 for the 4 faces. Finally, add the area of the base and the areas of the faces.

Hey there,

f(x) = 4x + 2

what value of x makes f(x) = -14?

x = -4 ✅

f(x) = 4x + 2

>> We want f(x) to be equal to -14:

4x + 2 = -14

>> Substract 2 from both sides :

4x + 2 - 2 = -14 - 2

4x = -16

>> Divide both sides by 4:

4x/4 = -16/4

x = -4

✅

Have a good day ;)

Answer:

x = -4

Step-by-step explanation:

Given:

If the value of f(x) is -14,

⇒ 4x + 2 = -14                                                                       [f(x) = 4x - 2 and -14]

To simplify the equation, we need to isolate the variable completely. Start out by subtracting 2 both sides. This will isolate "x" and the cooeficient of x.

Then, divide 4 both sides to isolate the cooeficient of x on one side and a constant on the other side. The constant will be the value of x.

Thus, -4 is the value of x that makes f(x) equivalent to -14

Answer:

Yes, 0.6 is greater than 0.59.

Step-by-step explanation:

The easiest way to determine which is greater, 0.6 or 0.59, is to plot both values on a number line.

according to distributive property

x+(y+z) = (x+y) + z

hope it helps...!!!

Answer:

47,200,000,000

Step-by-step explanation:

[tex]4.72*10^{10}[/tex]  is in scientific form (notation).

To change this to standard form, we must move the decimal over the amount in the exponent. In this case, that is 10.

Answer:

Step-by-step explanation:

Answer:

282 Hours after 6 weeks

Step-by-step explanation:

Multiply the 6 weeks and the 48 hour a week adverage and theres your answer!

Answer:

Step-by-step explanation:

Let the cost be A.

a) Cost to run ad for one week:

b) Cost to run ad for four weeks:

Answer:

See below ↓↓

Step-by-step explanation:

Cost to run one week

Cost to run four weeks

Answer:

V = 76 ft³

Step-by-step explanation:

We can find the volume of the figure by finding the sum of volume of the small rectangular prism and big rectangular prism.

V of a rectangular prism = length*hight* width

V = V (big rectangular prism) + V (small rectangular prism)

V = (8·4·2) +(3·2·2)

V = 64 + 12

V = 76 ft³

Answer:

B

Step-by-step explanation:

Add the value of the dots

0 + 3/8 + 3/8 + 4/8 + 5/8 + 7/8 =   22/8 = 2 6/8