The first three steps of completing the square to solve the quadratic equation 2? + 8x + 5 = 0 are shown
below.
Step 1: x² + 8.0 = -5
Step 2: x2 + 8x + 16 = -5+16
Step 3: (x + 4)2 = 11
What are the next 3 steps?

Answers

Answer 1

Answer:

x = 3/2

Step-by-step explanation:

Step 4: 2x + 8 = 11

step 5: 2x +8 - 8 = 11 -8

step 6: 2x/2 = 3/2

step 7: x = 3/2

Answer 2

Answer:

see explanation

Step-by-step explanation:

take the square root of both sides

step 4 : x + 4 = ± [tex]\sqrt{11}[/tex] ( subtract 4 from both sides )

step 5 : x = - 4 ± [tex]\sqrt{11}[/tex]

step 6 : x = - 4 - [tex]\sqrt{11}[/tex] , x = - 4 + [tex]\sqrt{11}[/tex]


Related Questions

Help Please. I'm not that smart

Answers

Answer:

8580 yards

Step-by-step explanation:

[tex]4 \frac{7}{8}miles \times 1760 \frac{yards}{mile} = 8580yards[/tex]

The total will the friend's paddle combined is 51480 yards.

What is the unit conversion?

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor.

The Great Adventures Canoe and Kayak company offers 3 different options as shown in the table.

This afternoon a group of  6 friends is paddling the Adventure Mid Trip in individual kayaks.

The totals will the friends paddle combined is;

[tex]\rm = 4\dfrac{7}{8} \times 6\\\\=\dfrac{4\times 8+7}{8}\times 6\\\\=\dfrac{32+7}{8} \times 6\\\\ =\dfrac{39}{8} \times 6 \\\\=\dfrac{234}{8}\\\\= 29.25[/tex]

Here 1 mile = 1760 yards

The totals will the friends paddle combined is;

[tex]= 29.25 \times 1760\\\\=51480[/tex]

Hence, The total will the friend's paddle combined is 51480 yards.

Learn more about the unit conversation here;

https://brainly.com/question/2293461

#SPJ2

which number is between 8.270 and 8.280

Answers

Answer:

8.275

Step-by-step explanation:

8.280 - 8.270 = 0.010

0.010/2 = 0.005

8.270 + 0.005 = 8.275

Henry is going to color a spinner with 16 equal-sized sections. Three of the sections will be orange,
and 13 of the sections will be black. Is this spinner fair? If so, explain why. If not, explain how to make
it a fair spinner.
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. Yes. The spinner is fair because there are the same number of orange sections and black
sections.
OB. No. The spinner is not fair because there are more orange sections than black sections. A fair
spinner will have
orange section(s) and
black section(s).
(Type whole numbers.)
OC. No. The spinner is not fair because there are
more black sections than orange sections. A fair
black section(s).
spinner will have orange section(s) and
Click to select and enter your answer(s) and then click Check Answer
Clear All
Check Answer
All parts showing

Answers

Answer: C

Step-by-step explanation: Black shade will be 13/16 . That isn't fair at all. It has more Black

y = 2x^2 + 3
im looking for how to find the axis of symmetry

Answers

Answer:

The axis of symmetry is simply 0

Step-by-step explanation:

When you enter that equation on the graph the axis of symmetary is the line that goes straight throught the middle of it.

I inserted an image so you could understand a littler better. Hope this helps!

The axis of symmetry of the quadratic equation y = 2x^2 + 3 is x = 0

How to determine the axis of symmetry?

The equation is given as:

y = 2x^2 + 3

Differentiate the above equation with respect to x

y' = 4x + 0

This gives

y' = 4x

Set the equation to 0

4x = 0

Divide both sides by 4

x = 0

Hence, the axis of symmetry is x = 0

Read more about axis of symmetry at:

https://brainly.com/question/1349456

Find the image of the given point
under the given translation.
P(-9, -2)
T(x, y) = (x + 6, y − 4)
P' = ([?], [])

Answers

Answer:   (-3, -6)

Explanation:

The notation [tex]T(x, y) = (x+6, y-4)[/tex] tells us to add 6 to the x coordinate and subtract 4 from the y coordinate.

An equivalent notation would be to write [tex](x,y) \to (x+6, y-4)[/tex]

Point P has the x coordinate of -9. Adding on 6 gets us the new x coordinate of -9+6 = -3

It also has the y coordinate of -2. Subtract off 4 to get -2-4 = -6

So,

[tex](x,y) \to (x+6, y-4)\\\\(-9, -2) \to (-9+6, -2-4)\\\\(-9, -2) \to (-3, -6)[/tex]

Answer:

P' (- 3, - 6 )

Step-by-step explanation:

the translation

(x, y ) → (x + 6, y - 4 )

means add 6 to the x- coordinate and subtract 4 from the y- coordinate , so

P (- 9, - 2 )  → P' (- 9 + 6, - 2 - 4 ) → P' (- 3, - 6 )

Marina has $145 to spend. She spends $68. 50 on jeans. T-shirts cost $12. 75. Write and solve an inequality to find the greatest number of t-shirts she can buy

Answers

Answer:

6

Step-by-step explanation:

145-68.50 = 76.50

76.20/12.75 = no of t-shirts she can buy

ans= 6

Consider the equation 3(x – 5)2
+ 6 = 54.
What value(s) of x makes the equation true? Enter one solution in each space
provided on your answer document. If there is only one solution, leave one space
blank

Answers

Answer:

if im not mistaken, x = 13!!

Find the surface area of the sphere if its radius is 13 inches. Round your answer to
nearest hundredth (two decimal places). Use 3.14 to approximate pi.

Answers

Formula: (3.14) 13^2
Answer: 530. 66
Formula is A=4 pi r^2
4*3.14*13^2
2122.64

A triangular prism has a volume of 360 in.³ the area of the base of the prism is 24 in.² what is the height of the prism?

Answers

Answer:

15 in

Step-by-step explanation:

Volume / Area = missing length

360 / 24 = 15 in

Normal Distribution- Empirical Rule - please help

Answers

It’s 0 beachfront is god likely

The perimeter of a triangle is 42 yards. The first side is 5 yards shorter than the
second side, and the third side is 2 yards shorter than the first side. What is the length
of each side?

Answers

Answer: Is your question "What is the length of each side?"

Let x = the length of the second side

Let x - 5 = the length of the first side

Let (x - 5) - 2 = the length of the third side

P = a + b + c

x + x - 5 + x - 7 = 42

3x - 12 = 42

3x = 54

x = 18 yards

x - 5 = 13 yards

x - 7 = 11 yards

Step-by-step explanation:

Percent of discount is 40% sale price is 78 what’s the or

Answers

Answer:

124.8

Step-by-step explanation:

Answer: $130

Step-by-step explanation:

60% = 78

1% = 78/ 60

100% = 78/60 ×100

Discount is 40% = $52

Helpppppp plssss!!!!!!

Answers

Answer:

The answer is D or 180 degrees

Thank you Consider brainliest <3

Step-by-step explanation:

Determine the equation of the line with the following characteristics.

Slope=3, passing through (-1, 10)

Answers

Answer:

y = 3x + 13

Step-by-step explanation:

The equation of a line is also known as slope-intercept form.

Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept.

To put an equation in slope-intercept form, we need the slop and the y-intercept.

In this case, we already have the slope which is 3.

So far, we have y = 3x + b

Now, we need to find the y-intercept.

Since you already have a point, we can plug in the x and y values from the point, into the equation.

10 = 3(-1) + b

Now, we can solve for b.

10 = -3 + b

Add three on both sides so it becomes:

13 = b

13 is the y-intercept

y = 3x + 13

Solve the System of these Equations

Answers

Answer:

y=-9/2, x=7

Step-by-step explanation:

You can solve this via substitution. First solve for x in terms of y in one of the equations given. Lets use the first one:

25+4y=x

Now plug 25+4y in for x in the second equation

3(25+4y)-2y=30

75+12y-2y=30

75+10y=30

10y=-45

y=-9/2

Plug this into the first equation:

25-x=-4(-9/2)

25-x=18

x=7

The parabola in the image has its focus at (4,3).Its directrix is the line y=1.The point (8,6) is on the parabola.

Answers

The statements that are true for this parabola are:

C. The point (8, 6) is the same distance from the point (4, 3) as it is from the line y = 1.

Option D.

Given the following data:

Vertex (h, k) = (4, 3).Point (x, y) = (8, 6).

How to determine the equation of the directrix?

Mathematically, the standard equation of the directrix line for a parabola is given by: y = a(x - h)² + 2.

Next, we would determine the distance where point (8, 6) lie on the parabola as follows:

y = a(x - h)² + 2

6 = a(8 - 4)² + 2

6 = a(4)² + 2

6 = 16a + 2

16a = 6 - 2

16a = 4

a = 4/16

a = 1/4.

Therefore, the parabolic equation becomes:

y = 1/4(x - 4)² + 2

When x = 2, we have:

y = 1/4(2 - 4)² + 2

y = 1/4(-2)² + 2

y = 1/4(4) + 2

y = 1 + 2

y = 3.

In conlusion, the statements that are true for this parabola in the image above include:

The point (8, 6) is the same distance from the point (4, 3) as it is from line (y = 1).The point (2, 3) is on the parabola.

Read more on directrix here: https://brainly.com/question/2346582

#SPJ1

how many sides does a quadrillateral have

Answers

Answer: 4

Step-by-step explanation:In geometry a quadrilateral is a four-sided polygon, having four edges and four corners. The word is derived from the Latin words quadri, a variant of four, and latus, meaning side

Which one does it simplify to? please

Answers

Answer:

[tex]1 + { \sin} \theta[/tex]

Step-by-step explanation:

[tex] \frac{ { \cos}^{2} \theta}{1 - \sin \theta} \\ \\ = \frac{ { \cos}^{2} \theta}{(1 - \sin \theta)} \times \frac{(1 + \sin \theta)}{(1 + \sin \theta)} \\ \\ = \frac{{ \cos}^{2} \theta(1 + { \sin} \theta)}{(1 - { \sin}^{2} \theta)} \\ \\ = \frac{{ \cancel{ \cos}^{2} \theta}(1 + { \sin} \theta)}{ \cancel{{ \cos}^{2} \theta}} \\ \\ = 1 + { \sin} \theta[/tex]

Let's see

[tex]\\ \rm\Rrightarrow \dfrac{cos^2\theta}{1-sin\theta}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1-sin^2\theta}{1-sin\theta}[/tex]

(a+b)(a-b)=a²-b²

[tex]\\ \rm\Rrightarrow \dfrac{(1-sin\theta)(1+sin\theta)}{1-sin\theta}[/tex][/tex]

[tex]\\ \rm\Rrightarrow 1+sin\theta[/tex]

Option A

What is the total number of atoms in ammonium hydroxide, nh4oh ? 2 4 7 8

Answers

Answer:

7 total atoms.

Step-by-step explanation:

There's nothing written for N, so we assume there is one atom. There is 4 written for H, plus the other H at the end, making 5 hydrogen atoms. There is nothing written for O, so we assume there is one atom. 1+5+1=7 total

Answer:

7

Step-by-step explanation:

BABA BOI

How to Convert 3,18km to M​

Answers

Answer:

1.97596 miles

simplified

1.976 miles

in a binomial experiemnt the probability of success is 0.16. what is the probability of two successes in seven trials

Answers

Answer:

0.2248307402

Step-by-step explanation:

Let 'success', p = 0.16,

and 'failure', q = 1 - 0.16 = 0.84

and the number of trials, n = 7

r = 2

[tex]P(X = r) = \binom{n}{r} {p}^{r} {q}^{n - r} \\ P(X = 2) = \binom{7}{2} {(0.16)}^{2} {0.84}^{5 - 2} \\ = 0.2248307402[/tex]

Can anyone please help answer this?

Answers

A = 45 inches!

11 + 7 = 18

12 + 5 = 17

6 + 4 = 10

18 + 17 = 35

35 + 10 = 45

solve for x : -17 = -x - 7

Answers

Answer:

10

Step-by-step explanation:

-(-17)=17-7=10

Answer:

x = -119/16

Step-by-step explanation:

x/-17 = -x-7

x/-17 + x = -x-7+x

SIMPLIFY

16x/17 = -7

so x= -119/16

(I TRIED TO SOLVE THIS HOPE THIS HELPS).

Algebraic terms are separated by
Choose all that apply.
=
+
x
\
-

Answers

Here’s the answer: +,-,=

120 90 x= i need help with thiss!!!

Answers

Answer:

60°

Step-by-step explanation:

Angles around a point sum to 360°360 - 90 - 120 - 90 = 240 - 180 = 60°

Mary had a 3-inch piece of ribbon. She cut it in half. How long were the new pieces?.

Answers

Half of 3 would be the new lengths of the pieces.
So 3/2=1.5
The pieces would each be 1.5 inches
given:

3 inch.

to find:

the length of the new pieces.

solution:

to find the length of the new piece's you'll have to divide 3 by 2.

3/2

= 1.5 inch

so, the length of the new pieces is 1.5 inch.

bro some one helpp lol
17 - q = 6
n-31/4 = 2
1 + 2r = 35
42 + 5t = 8t
4p - 3 = 17

Answers

Answer:

11

9.75

17

14

5

Step-by-step explanation:

q=17-6=11

4n-31=8

4n=31+8=39

n=9.75

2r=35-1=34

r=17

42=8t-5t=3t

t=14

4p=17+3=20

p=5

Julie invested $148,000 in a simple interest account. After 12 years and no additional deposits or withdrawals, the account balance was $210,160. Find the interest rate for the account.

Answers

If the invested price is $ 148,000 for 12 years with a return of $210,160. Then the rate of interest will be 11.83%.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

Julie invested $148,000 in a simple interest account.

After 12 years and no additional deposits or withdrawals, the account balance was $210,160.

Then the interest rate will be

[tex]\rm A = \dfrac{PRT}{100}\\[/tex]

We have

A = $ 210,160

P = $148,000

T = 12 years

Then the interest rate will be

[tex]\begin{aligned} 210,160 &= \dfrac{148000 \times R \times 12}{100}\\\\R &= 11.83 \% \end{aligned}[/tex]

More about the simple interest link is given below.

https://brainly.com/question/2793278

#SPJ1

Answer: 3.5%

Step-by-step explanation:

The first five terms of an arithmetic sequence are given: $4,10,16,22,28, \\ldots$ What is the sixth term in the sequence

Answers

Answer:

34

Step-by-step explanation:

to find the number to add 4 which will increase it to 10 with them subtract 10 from 4 to find the number which is increasing termly

=> 10 - 4 = 6

increasing by 6

4 + 6 = 10

10 + 6 = 16

16 + 6 = 22-

22 + 6 = 28

28 + 6 = 34

6th term = 34

Calculate the length below labeled x

Image above
Please help me with this ill give you brainlist answer

Answers

Answer:

2√30

Step-by-step explanation:

Since we have a right triangle, we first need to find the base of the big triangle, which is also the hypo of the smaller triangle.

We apply A²+B²=C²

We plug values in that we have

15²+B²=19²

Simplify

B²=136

B=√136=√2x2x2x2x17=4√17

Now that we have the hypo for the small triangle we apply the same formula to get X

4²+X²=√136

16+X²=136

X²=120

X=√120=√2x2x2x3x5=2√30

Answer:

11.0 mm (3sf)

Step-by-step explanation:

Let length of hypotenuse of smaller triangle be H mm. (this is referring to the only unlabelled length in the picture)

by the Pythagorean theorem (larger triangle),

19² = 15² + H²

H² = 361 - 225

H² = 136

by the Pythagorean theorem (smaller triangle),

H² = 4² + x²

136 = 16 + x²

x² = 120

x = 11.0 mm (3sf)

hope this helps!

Other Questions
help please and thank you The intent of the framers of the Texas Constitution was to create strong popular control of government by making both government actions and offices subject to popular vote. What have been the effects From across the lobby, you see a guest drop an envelope without realizing it. The guest is near the lobby door and about to walk outside. What is your best response to this situation? How many J of energy would you need in order to heat 252 grams ofiron from 305 K to 445 K?S(Fe) = 0.450 J/g*K This is more of a psychology question but why does the mind procrastinate and what helps it stop? PLEASE HELP!! 40 POINTS!! 1. Name the current continents that were part of the landmass known as Laurasia. evaluate the extent to which the outcome of the Civl war changed society in the south between 1865 and 1900 A 19th-century explorer crossing a desert has run out of water. He has the best chance of surviving if he can find Choose one: A. an oasis. B. a rain shadow. C. a playa. D. an ephemeral stream. In China, it is considered a norm to give carefully chosen gifts to those one is doing business with. True False The digestive and cardiovascular systems work together to provide nutrients for cells. Evaluate each of the statements. Select ALL Three of the choices that accurately explain interactions between these two body systems.A The digestive system eliminates carbon dioxide from the circulatory system. B The circulatory system transports oxygen to the organs of the digestive system. C The digestive system provides glucose to the circulatory system for transport to tissues. D The circulatory system transports absorbed nutrients from the small intestine to the cells. E The circulatory system carries wastes from the digestive system to the kidneys for elimination. Select all the rectangles that have an area of 15/24 square inches. the pineal gland secretes luteinizing hormone, which stimulates production of testosterone.True or False why do you think the olympics is considered china's coming out party to the world What is a formula for the nth term of the given sequence?-6,0, 6... The equation of any line in the coordinate plane can be written in the form Ax+By=C where A, B, C are real numbers. Select all of the equations below that define y as a function of x. 12x85y=09x+0y=780x+56y=113x4y=2 If je veux d'abord aller manger means i want to eat first , then what does allez d'abord manger mean? WILL MARK BRAINLIEST IF RIGHTEXTRA POINTS!!! HELP 5. Three lines are drawn so that they all intersect at a common point. In the figure below, m41=x, mL2 = 2x, and m43 = 75.Which equations can be used to determine the value of x?Select all that apply.A. 3x = 75B. 3x =105C. 3x = 255D. 3x + 75 = 180E. x + 2x + 75 =180F. x + 2x + 3x = 360 The ______ is a highly branched system of air conducting passages that originates from the left and right primary bronchi and progressively branches into narrower tubes ending in terminal bronchioles.