Solve the following quadratic bycompleting the square.y = x + 4x - 2Xx = [?] [ ] Please help me

Mathematics High School

Solve the following quadratic by
completing the square.
y = x² + 4x - 2
X
x = [?] ± √ [ ]
Please help me

Solve The Following Quadratic Bycompleting The Square.y = X + 4x - 2Xx = [?] [ ] Please Help Me

Answers

Answer 1

Answer:

x = -2+- sqrt(6)

Step-by-step explanation:

Using completing the square, let x^2+4x-2 = 0 and solve the steps to get the answerx^2 + 4x - 2 =0

add 2 to both sides to get x^2 + 4x = 2

then add 4 to both sides to get x^2 + 4x + 4 = 6

Get the left hand side to the square formate: (x+2)^2 = 6

then simplify x+2 = sqrt(6) or x+2 = -sqrt(6)

so x = sqrt(6) - 2 or x = -sqrt(6) -2

Related Questions

The heights of 150 oak trees are normally
distributed with a mean of 84 feet and a
standard deviation of 3 feet. about how
many trees fall within two standard
deviations of the mean?

Answers

Using the Empirical Rule, it is found that about 143 trees fall within two standard deviations of the mean.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

95% of the measures are within 2 standard deviations of the mean, hence, out of 150 trees, the amount is:

A = 0.95 x 150 = 142.5, rounded to 143.

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Can someone please help? This is sooooooooo hard!!! :(

Answers

Answer:

BD = BE

Step-by-step explanation:

If BD = BE , angle BED = angle BDE.

Because they are in a same triangle.

And also they are congruent.

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Question 16(Multiple Choice Worth 1 points)
(02.03 LC)
Triangle ABC is transformed to triangle A' B' C', as shown below:
B
C
-2-10
1 2 3 4
-2
3
Which equation shows the correct relationship between the measures of the angles of the two triangles?
2

Answers

Answer:

What is this supposed to mean even?

Step-by-step explanation:

Find the mean of a student test scores if he earned 5, 93, 85, 90 and 91 points on five tests

Answers

Answer:

72.8

Step-by-step explanation:

A timer is started and a few moments later a swimmer dives into the water and then comes back up. The swimmer's depth (in feet) as a function of time (in seconds after the timer was started) is given by the equation h(t)=t2−12t+27

Rewrite the formula in factored form and select each true statement below.

The swimmer is underwater for 12 seconds.
The swimmer dives into the water 3 seconds after the timer was started.
The swimmer comes back up 9 seconds after the timer was started.
The swimmer dives to a maximum depth of 27 feet.
The swimmer dives into the water 12 seconds after the timer was started.

Answers

The formula in factored form is (t - 3)(t - 9) and the swimmer dives into the water 3 seconds after the timer was started also, the swimmer comes back up 9 seconds after the timer was started.

Analysis:

at h(t) = 0 that is when the diver has not dived or at height 0 foot

the equation becomes [tex]t^{2}[/tex] -12t + 27 = 0

by factorizing,

[tex]t^{2}[/tex] -9t -3t + 27 = 0

(t-9)(t-3) = 0, this is the equation in factored form.

t = 3 or 9

These are the times, the height h(t) = 0

Which means the swimmer dived 3 seconds later or got to the top of water after 9 seconds in which case h(t) = 0

In conclusion, the swimmer dives 3 seconds later after the timer was started and the swimmer comes back up after 9 seconds are the true statements for this problem.

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Answer:

The swimmer comes back up 9 seconds after the timer was started.

The swimmer dives into the water 3 seconds after the timer was started.

Step-by-step explanation:

If e : f is 3 : 7 and f : g is 2 : 3 what is e : g ? please answer asap!

Answers

Answer:

e: f=3 : 7 and f : g= 2 : 3

Step-by-step explanation:

here's the answer

Select the elements in A.
A = {x: 10 < x < 30}
= {x:x is a square number}

Answers

Answer:

A= 4,5

Step-by-step explanation:

the required ans is above

Answer:

[tex]\{ 16, 25\}[/tex]

Step-by-step explanation:

[tex]x~ \text{is a perfect square and}~ 10 < x < 30 \\\\\text{The possible values of x are}:\\\\4^2 = 16\\\\5^2 = 25[/tex]

helpppp pleaseeeeeee

Answers

Answer:

3.) (5,2), (5,5), and (9,2)

Step-by-step explanation:

The triangle currently has the coordinates (2,0), (6,0), and (2,3).

If you want to translate the triangle up 2 units, you need to add 2 to each "y" value.

(2,0) -----------> y = 0 ------------> new y = 2

(6,0) -------> y = 0 --------------> new y = 2

(2,3) ----------> y = 3 -----------> new y = 5

If you want to translate the triangle 3 units to the right, you need to add 3 to each "x" value.

(2,0) -----------> x = 2 ------------> new x = 5

(6,0) -------> x = 6 --------------> new x = 9

(2,3) ----------> x = 2 ----------> new x = 5

Therefore, the new coordinates are (5,2), (9,2), and (5,5).

Paula has buttons. she gives away 28 buttons. choose the expression that shows the number of buttons paula has left.

Answers

Answer:

y = 28 - x

Step-by-step explanation:

The variable x represents how many buttons Paula had before giving 28 away and the variable y represents how many buttons she has now.

Simplify to create an equivalent expression. 2(-n-3)-7(5+2n)

Answers

Answer:

-16n-41

Step-by-step explanation:

Answer:

-16n - 41

Step-by-step explanation:

(2 • (-n - 3)) - 7 • (2n + 5)

-n - 3 = -1 • (n + 3)

-2 • (n + 3) - 7 • (2n + 5)

-16n - 41 = -1 • (16n + 41)

Use the leading term for your answer

-16n - 41

A
4
Find the value of x.
B
6
X+1
D
x = [?]
E
X
C

Answers

I think it’s X=1 for answer

What is the total number of different 10-letter arrangements that can be formed using the letters in the word FORGETTING?

Answers

Answer:

1814400

Step-by-step explanation:

A jar contains 8 red marbles, 6 blue ones, and 6 yellow ones. One marble is chosen at random. The color is
recorded in the table, and then it is returned to the jar. This is repeated 40 times.
Red Blue Yellow
11
11
18

Answers

Answer:

Step-by-step explanation:

Comment

The theoretical probabilities are

Red: 8/20 = 0.4

Blue:6/20 = 0.3

yellow:6/20 = 0.3

The experimental Probabilities are

Red: 11/40 = 0.275

blue: 11/40 = 0.275

Yellow: 18/40=0.45

Both probabilities add to 1 as they should

The yellow is the highest disproportionate answer and it really shouldn't be. If anything it should be red. (0.45 > 0.4 comparing yellow experimental with red theoretical. The yellow is way more than it should be)

The number of trials is double the number of marbles in the jar. The number of trials would be double for each color in the jar. Both blanks are double.

please help me please

Answers

Answer:

detailed explanation is in image

Step-by-step explanation:

ans is 60 unit²

MARK ME THE BRAINLIEST !

Answer:

60 cm2

Step-by-step explanation:

Formula for finding out the area of the figure -

Area of full rectangle - Area of unshaded rectangle = Area of shaded region

Area of full rectangle =

Length (l) = 9+3 = 12 cmBreadth (b) = 4+4 = 8cm Area of full rectangle = l*b = 12*8 = 96cm2

Area of unshaded rectangle =

Length (l) = 9 cmBreadth (b) = 4 cmArea of unshaded rectangle = l*b = 4*9 = 36cm2

Putting the formula = 96-36 = 60cm2

Hence the area of shaded region = 60cm2

I gave the answer first !

[tex]1. \frac{1}{3} + \frac{3}{2} + \frac{6}{5} - \frac{1}{2 = } [/tex]
[tex]2. \frac{7}{5} - \frac{4}{2} + \frac{4}{5} - \frac{3}{2} = [/tex]
[tex]3. \frac{9}{8} + \frac{7}{8} - \frac{6}{7} + \frac{8}{7} + \frac{1}{3} = [/tex]
[tex]4. \frac{11 }{8} + \frac{11}{5} + \frac{8}{5} - \frac{9}{6} - \frac{5}{3} = [/tex]
can you please solve it

Answers

Answer:

1. 3.33333333333

2. -1.3

3. 2.61904761905

4. 2.00833333333

Please help me, I have more

Answers

Answer:

i dont have it the answer ofvthis

please help... The triangle represents a cross section from a 3D prism. Draw or describe the 3D prism that produced this cross section.

Answers

The 3D prism that produced the cross-section of a triangle is a triangular prism.

How to describe the 3D prism?

From the given figure, we can see that the cross-section is a triangle

One of the faces of a triangular prism is a triangle.

This means that when the triangular prism is cut vertically, a triangle face is created

Hence, the 3D prism that produced the cross-section of a triangle is a triangular prism.

Answers

13 coins (50 cent)

24 coins (20 cent)

The equation of a circle is given below:

x squared minus 8 x plus y squared plus 6 y minus 11 equals 0

Identify the center and radius of the circle.

Group of answer choices

center: left parenthesis 4 comma minus 3 right parenthesis
radius: 6

center: left parenthesis negative 8 comma 6 right parenthesis
radius: 6

center: left parenthesis 4 comma minus 3 right parenthesis
radius: 36

center: left parenthesis negative 8 comma 6 right parenthesis
radius: 36

Answers

The center of the circle will be (4, -3) and the radius of the circle will be 6 units. Then the correct option is A.

What is an equation of a circle?

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at the (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x - h)² + (y - k)² = r²

The equation is given below.

x² - 8x + y² + 6y - 11 = 0

x² - 8x + y² + 6y = 11

Then the center and the radius of the circle will be

x² - 8x + 16 + y² + 6y + 9 = 11 + 16 + 9

(x - 4)² + (x + 3)² = 36

(x - 4)² + (x + 3)² = 6²

Thus, the center and the radius of the circle will be (4, -3) and 6 units respectively.

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Can somebody help me find the surface area

Answers

To calculate the area of the complex shape:

⇒ must separate the shape into simpler shape

2 rectangles with a length 9ft and a width 6ft1 rectangle with a length of 9 ft and a width 3ft2 triangles with a base of 3 ft and a height 5.4ft

Let's calculate:

2 rectangles with a length 9ft and a width 6ft

[tex]Area = 9*6+9*6=54+54=108[/tex]

1 rectangle with a length of 9 ft and a width 3ft

[tex]Area= 9*3=27[/tex]

2 triangles with a base of 3 ft and a height 5.4ft

[tex]Area = \frac{1}{2}* 3*5.4+\frac{1}{2}* 3*5.4=8.1+8.1=16.2[/tex]

Total Area = [tex]108+27+16.2= 151.2[/tex]

Answer: 151.2 ft²

Hope that helps!

Which rule describes a translation 3 units down?
A (x, y) → (x+3, y + 3)
B (x, y) → (x, y - 3)
(x, y) → (x, y + 3)
D (x, y) → (x, -3y)

Answers

B; the y axis is what moves up and down

Joe started 125 miles in 5 hours. How many miles would travel in 1 hour

Answers

do 125 divided by 5=25. so, in 1 hour you would drive 25 miles.

Answer:

Hope this helps :D

Step-by-step explanation:

Explanation on picture

What is the equation of a line parallel to y=(3)/(4)x-5 and passes through (12,-2)?

Answers

A parallel line has the same slope as the original line. So in this case the slope of the line is also 3/4. Now how do we know if it intersects the point? We need to adjust the y intercept.

Currently, we know the equation of the line is y= 3/4 x + b, where b is the thing we are looking for. We also have a point, which supplies the x and y. Plug that in and solve for b

-2 = (3/4)*(12) + b

You'll get b= -11

So the equation of the parallel line intersecting the point given is y= 3/4x -11.

I am assuming that the slope is 3/4 based on the way you formatted the original equation, but it's the same steps if the slope is different.

what letter and the answer

Answers

Your answer for this question should be A because you just need to count them and then your good

The answer is letter A.
The average amount of milk used for an orders of pancakes can be found by taking the total number of cups used for the 10 pancakes and take the answer divided by 10 (the amount of total pancakes)
We have 6 of 1/2 cups, 2 of 1/4 cups and 2 of 3/4 cups
So there are a total of [6•(1/2)]+[2•(1/4)]+[2•3/4]=5 cups for the total of 10 pancakes
Therefore, the average amount of milk used for an order of pancakes is 5/10=1/2 cups.

20 divided by tann(45°)

Answers

Answer:

Step-by-step explanation:

as we know

[tex] \tan {45}^{0} = 1 \\ [/tex]

20/ 1=20

is correct answer

what is the slope of (4, −6) and (0, 2)

Answers

Step-by-step explanation:

please mark me as brainlest

The radius of a circle is 7 mm. What is the area.

Answers

Answer:

A= 153.94 mm

Step-by-step explanation:

A = πr²

A=π(7)²

A= 153.94 mm

Which expressions are equivalent to the given expression.
y^-8y^3x^0x^-2

Answers

[tex]y^{-8} y^3 x^0 x^{-2}[/tex] is equivalent to [tex]y ^{-5} x ^{-2}\\[/tex].

What is a simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

Given;

[tex]y^{-8} y^3 x^0 x^{-2}[/tex]

Simplify

[tex]y^{-8} y^3 x^0 x^{-2}\\\\y ^{-8+3} x ^{0-2}\\ \\y ^{-5} x ^{-2}\\[/tex]

Hence, [tex]y^{-8} y^3 x^0 x^{-2}[/tex] is equivalent to [tex]y ^{-5} x ^{-2}\\[/tex].

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The Student Council at High School A held a Student Body President election. There are 940 students in enrolled and 625 students voted for a Student Body President. Approximately what percentage of the student body voted for Student Body President?

Answers

Answer:

65 %

Step-by-step explanation:

625 out of 940 is what % ?

625/940 x 100% = 66.49%

Find the volume.
Area = 16.4 cm²
8.1 cm
cm³

Answers

The area of the given figure is 16.4 cm² and the Length of the side is 8.1 cm. therefore, the volume of the given figure is 132.84 cm³.

When can we find the volume of a considered figure?

For finding the volume of the considered figure, we somehow need measurement of its correct dimensions by which we would be able to recreate the figure.

By any means, if we could get enough measurement, then we'd be able to characterize the figure, and thus, get its volume.

Area = 16.4 cm²

Length of side = 8.1 cm

The volume of the given figure

= Area x side

= 16.4 x 8.1

= 132.84 cm³

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Solve the following quadratic by completing the square. y = x² + 4x - 2 X x = [?] ± √ [ ] Please help me

Answers

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Solve the following quadratic by
completing the square.
y = x² + 4x - 2
X
x = [?] ± √ [ ]
Please help me