omplete the square
x2+6x+3

Answers

Answer 1

Answer:

x1 = -3-[tex]\sqrt{6} \\[/tex] , x2 = -3+[tex]\sqrt{6}[/tex]

Step-by-step explanation:

x = [tex]\frac{-6+-\sqrt{6x^{2} -4 * 1 * 3} }{2 * 1}[/tex]

x = [tex]\frac{-6+- \sqrt{24} }{2}[/tex]

x = [tex]\frac{-6 +2\sqrt{6} }{2}[/tex]

x = [tex]\frac{-6 - 2\sqrt{6} }{2}[/tex]

x = -3 + [tex]\sqrt{6}[/tex]

x = -3 - [tex]\sqrt{6}[/tex]


Related Questions

Evaluate f(3) for the function |-2x+1|

Answers

Answer: 7

Step-by-step explanation:

f(4) = 2(4) - 1 = 8 - 1 =7

Lois and Clark own a company that sells wagons. The amount they pay each of their sales employees (in dollars) is given by the expression 12h+30w12h+30w12, h, plus, 30, w where hhh is the number of hours worked and www is the number of wagons sold.
What is the amount paid to an employee that works 666 hours and sells 333 wagons?
\$

Answers

Answer:

x=36° (180/5x because 2x+3x)

Step-by-step explanation:

Answer:

162

=12h+30w

=12(6)+30(3)

=72+90

=162

4 times 12 divided by 16

Answers

Answer:

3

Step-by-step explanation:

4x12=48

48/16=3

=3

Answer:

the awnser is 60

Step-by-step explanation:

Line 2 shows position data for an object that is speeding up. Use the centimeter ruler to measure the distance of each dot from dot 1, and record it in the table

Answers

Answer:

1= 0

2= 0.5

3= 1.5

4= 3

5= 5

6= 7.5

7= 10.5

8= 14

explanation: This is the edmentum answer

Answer:

1= 0

2= 0.5

3= 1.5

4= 3

5= 5

6= 7.5

7= 10.5

8= 14

Step-by-step explanation:

5 in
12 in
Solve for x.
Right triangle

Answers

Answer:

That kind of depends what x is...the theta angle? the hypotenuse? the base?

But i'll solve it for the missing value of the hypotenuse

5^2 +{ 12^2=c^2

169=c2

c=169 root

c=13 inches

Name a pair of the supplementary angles

Answers

Answer:

a.CEA AND DEA

is pair of the supplementary angles

A circle is the set of all points in a plane at a certain distance, its radius, from a certain point, its center.
Which of the following words in the definition is an undefined term used in geometry?
O point
radius
center
o distance

Answers

Answer: distance

Step-by-step explanation:

The rest of the words have actual accompanying definitions in geometry.

An undefined term used in geometry is the point.

An undefined term used in geometry?Three undefined concepts, or terms that don't need to be specified separately even though they are utilized to construct more intricate parts, are present in this case of Euclidean geometry.The three terms in geometry that aren't specified are:1. Point2.Line\s3. PlaneIn cartesian space, for example, a point cannot be defined specifically but can be utilized to define any triangle, line segment, or cube among other 2D or 3D objects. Similar to this, a line is nothing more than another arrangement of points that is used to define more intricate objects like a wire. While a plane is simply a group of lines arranged in a specific location and orientation, similar to a piece of land.

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21286272

Tell whether the sequence is arithmetic. If it is what is the common difference? 1, 9/10, 4/5, 7/10

Answers

Answer:

the answer is D

Step-by-step explanation:

The common difference of the arithmetic sequence 1, 9/10, 4/5, 7/10 is -1/10.

What is arithmetic sequence ?

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

The given arithmetic sequence is,

1, 9/10, 4/5, 7/10

The first term of the sequence a = 1

The common difference of the arithmetic sequence is the difference between two consecutive terms.

d = 9/10 - 1

d = - 1/10

The common difference of the given arithmetic sequence is - 1/10.

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Expand and simply
4(2d + 3) – 2(3d – 5)

Answers

Answer:

8d+12-6d+10

2d+22

Step-by-step explanation:

Answer:
8d + 12 - 6d + 10

need help................

Answers

827537517172763 kahvxjx

What is the value of x?
Enter your answer in the box.

x = ___

Answers

The value of x from the given diagram using the similarity theorem of a triangle is 7

In order to get the value of x from the given triangle, we will use the similarity theorem of a triangle.

From the given triangle, the following equation is true;

5/40 = 3/2x + 10

Cross mutiply

5(2x + 10) = 3(40)

10x + 50 = 120

10x = 120 - 50

10x = 70

x = 7

Hence the value of x from the given diagram is 7

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If 5 < 2x + 3 < 11, what is the possible range of values of -4r – 6?

Answers

Is ############### hope this help u out xxx

−2/3​p+1/5−1+5/6​p

solve

Answers

Answer:

[tex]\frac{-24p + 5}{30p}[/tex]

Step-by-step explanation:

Did you mean to add the terms.  You can only solve equations or inequalities and this is an expression.  Assuming you are to add the terms, then the lowest common denominator is 30p

So,  [tex]\frac{-2(10)}{3p(10)} + \frac{6p}{5(6p)} - \frac{30p}{30p} + \frac{5(5)}{6p(5)}[/tex]

=  [tex]\frac{-20 + 6p - 30p + 25}{30p}[/tex]

=  [tex]\frac{-24p + 5}{30p}[/tex]

Answer:

1/6p-4/5

Step-by-step explanation:i have khan and it is the right awnswer

Will mark u BRAINLIEST! Please help this is due ASAP

Answers

Answer + Explanation:

let x be the measure of angle x

let y be the measure of angle y

[tex]\left \{ {{x + y = 180} \atop {x=24+y}} \right.[/tex]

Now, solve:

plug x = 24 + y into x + y = 180

24 + y + y = 180

24 + 2y = 180

2y = 156

y = 78

Now, plug this back into the equation x = 24 + 78

x = 102

Answer:

x= 102

y= 78

Step-by-step explanation:

x+y=180

x= y + 24

2x-24 = 180

what is 2/3 (6x - 1/6) + 3x?​

Answers

answer::

7x=-1/9!!!!!

[tex] = \tt \frac{2}{3} (6x - \frac{1}{6} ) + 3x [/tex]

[tex] =\tt \frac{2}{3} \times 6x - \frac{2}{3} \times \frac{1}{6} + 3x[/tex]

[tex] =\tt \frac{2 \times 6}{3}x - \frac{2 \times 1}{3 \times 6} + 3x[/tex]

[tex] = \tt \frac{12}{3} x - \frac{2}{18} + 3x [/tex]

[tex] =\tt 4x - \frac{2 \div 2}{18 \div 2} + 3x[/tex]

[tex] = \tt4 x- \frac{1}{9} + 3x[/tex]

[tex] = \tt4x + 3x - \frac{1}{9} [/tex]

[tex] \color{plum}= \tt\bold{7x - \frac{1}{9} }[/tex]

Therefore,

[tex] \color{hotpink}\tt \frac{2}{3} (6x - \frac{1}{6} ) + 3x \color{plm}= \color{plum}\tt\bold{7x - \frac{1}{9} } [/tex]

PLs answer correctly will mark brainliest, 40 points

Answers

Answer:

A, C, A

Step-by-step explanation:

Use properties

(mᵃ)ᵇ = mᵃᵇmᵃ*mᵇ = mᵃ⁺ᵇ

10.

(-t⁴)³ = -t⁴ˣ³ = -t¹²Option A

11.

(t⁸)² = t⁸ˣ² = t¹⁶Option C

12.

(x⁻³)⁻⁵x⁶ = x⁽⁻³⁾ˣ⁽⁻⁵⁾x⁶ = x¹⁵x⁶ = x¹⁵⁺⁶ = x²¹Option A

What is the area of the composite shape?

Answers

Answer:

84 sq. inches

Step-by-step explanation:

When you section off each, you can find the area of each shape and add together to make composite.

Triangle on left is 6 sq. inches

Rectangle on right (5x10) is 50 sq. inches

Rectangle on bottom (7x4) is 28 sq. inches

When the cheifs be wining

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Answers

Answer:

Loll.

Step-by-step explanation:

Given the side measurements, classify the triangle as acute, obtuse, right, or not a triangle. 8, 12, 14

Answers

Answer: It's an acute triangle.

Step-by-step explanation: I have the same problem, and I tried each choice, acute was the correct answer

The triangle with side lengths 8, 12, 14 is an obtuse triangle.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

To determine whether the triangle is acute, obtuse, or right, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side.

8² + 12² = 64 + 144 = 208

14² = 196

Since 208 is greater than 196, we can see that the triangle does not satisfy the Pythagorean theorem. Therefore, the triangle is not a right triangle.

Since the longest side is 14 and the sum of the squares of the two shorter sides is less than the square of the longest side, we can conclude that the triangle is obtuse.

Therefore, the triangle with side lengths 8, 12, 14 is an obtuse triangle.

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write an equation for the line (1,2) and (3,-4)

Answers

Answer:

y=-3x+5

Step-by-step explanation:

If this helped you please rate this comment, give it a like, and maybe mark it as branliest!

PLZ HELP ME I NEED THE ANSWER ASAP

Answers

answer:

153.94cm²

Step-by-step explanation:

<3

Raul came home with $3.00 in his pocket. He had given Rene $1.50 on his way home. Pedro gave him $1.00 that he had borrowed last week. How much money did Raul have at the beginning of the day?

Answers

Answer: $3.50

Step-by-step explanation:

He came home with $3.00.

He gave Rene $1.50 which means that $1.50 was deducted from his money.

Pedro gave him $1.00 which added to his money.

Money he had therefore was:

= 3 + 1.50 - 1

= $3.50

Please help will give brainliest

Answers

Answer:

C, D, F

Step-by-step explanation:

I hope it helps, sorry if any wrong.

A rectangle has four sides. Fill in the blanks in the double number-line below.
rectangles
1
2
3
4
8
12
28
sides





Plz help

Answers

Box 1: 6 Box 2: 16 Box 3: 20 Box 4: 24

Original price of concert tickets: $199.95
Discount: 50%

Answers

Answer:

399.9

Step-by-step explanation:

Answer:

99.975

Step-by-step explanation:

199.95=100%

99.975

PLEASE HELP ASAPP!!!!! NO JOKES ONLY SERIOUS ANSWERS

11. Quadrilateral EFGH has vertices E(1, - 1) , F(3, - 5), (7, - 5) , and H(6,-1).C Graph the figure and its rotated image after a counterclockwise rotation of 90° about the origin . Then give the coordinates of the vertices for quadrilateral E'F'G'H '.

Answers

E1,1 F5,3 G5,7 H1,6 bc when rotating 90 a,b becomes -b,a

Rewrite the function by completing the square. f(x)=x^2+16x-46

Answers

Answer:

[tex]f(x)=(x+8)^{2}-110[/tex]

Step-by-step explanation:

Completing the square is a multi-step process that involved rewriting an equation such that it has a factored term, a coefficient, and a constant. First, group the equation, then add a term such that the grouped part of the equation can be simplified, then balance the equation, finally simplify and factor the equation.

[tex]f(x)=x^{2} +16x - 46\\[/tex]

Group;

[tex]f(x)=(x^{2}+16)-46[/tex]

Add in a term that makes the grouped part of the equation a perfect square, this can be done by dividing the linear term by 2, then balancing the equation;

[tex]f(x)=(x^{2}+16x+64)-46-64[/tex]

Simplify, factor;

[tex]f(x)=(x+8)^{2} - 110[/tex]

mr. john says that a new automobile decreases 37 1/2 of its value the first year. At this rate, how much will the first value of a $4568 car drop in the first year?

Answers

Answer:

it will drop to 2855 I believe

Pleaseee helppp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

8y+2x+2w

Step-by-step explanation:

Answer:

I have literally no idea. Very sorry!

Find y.
Round to the nearest tenth:
29
500 ft
y = [? ]ft

Answers

Answer:

30 by 500

Step-by-step explanation:

is y

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