Given: 2x^2+ 32x + 16 = 0
Step 1: x^2+ 16x +8=0
Step x^2+ 16x = -8
Write numbers in each box to correctly complete the square In Step 3.
Step 3: x^2+ 16x +

Given: 2x^2+ 32x + 16 = 0Step 1: X^2+ 16x +8=0Step X^2+ 16x = -8Write Numbers In Each Box To Correctly

Answers

Answer 1

Answer:

Step 3: x² + 6x + 64 = -8 + 64

Step-by-step explanation:

At step 3 add 64 on both sides to complete the square.

so x² + 6x = -8

becomes x² + 6x + 64 = -8 + 64 when 64 is added both sides giving us step 3.

continuing from there, we get

x² + 6x + 64 = 56

we then use a² + 2ab + b² = (a + b)² on the left side to get

(x + 8)² = 56 (solve the equation for x)

by taking the root on both sides

√(x + 8)² = √56

x + 8 = +- 2√14 (separate the equations

x + 8 = 2√14

x + 8 = -2√14

Solving for x

x = 2√14 - 8 or x = -2√14 - 8


Related Questions

Caroline owns 3 fewer T shirts than chase. Let k Represent the number of chase’s T shirt. What expression can be used? A. 3k B. 3-k C. K+3
D. K-3 Real quick please!

Answers

Answer:

D

Step-by-step explanation:

Hope this helps

Why is it important to include a conclusion at the end of an argument? to answer a question to restate the claim to introduce an idea to show understanding

Answers

It is important to include a conclusion at an end of an argument. When doing so you are restating your claim.

to restate the claim

Plssss help———What is an exponent and how do you solve it? 4-5 sentences :)

Answers

Answer:

[tex] {5 }^{2} [/tex]

that is an exponent

Step-by-step explanation:

an exponent is a number at the top right corner of a bigger (physichally) number. Exponents can also be said "to the power". for example 5 to the second power, or power of 2. this just means that instead of multiplying 5 x2 you are multiply 5 x itself the amount of times the exponent tells tou for example 5 x 5 (since my exponent is 2) is 25. so 5 to the second power is 25. and if it said 5 to the power of rhree i would have done 5x5x5 =125

What is the radius and diameter of the following circle?

Answers

Answer:1

Step-by-step explanation: 1+1=3

I NEED HELP FAST PLEASEEEE ITS A TEST 15 PTS
x + y = z could be true or false. Show your work for the
following:
a. If x is 2, y is 6, and z is 10, is the equation true or false?
b. If x is 3 and y is 5, what value of z would make the equation
true?

Answers

Answer:

a. False

b. z = 8

Step-by-step explanation:

a. Equation answer:2 + 6 = 10 Real answer:2 + 6 = 8

b. 3 + 5 = 8

Plzzzzzzz helppp i will give brainliest if right

Answers

Answer:

1.) 20 square inches

2.) 4.16

3.) (-1, -5) (2, -5)

Step-by-step explanation:

PLZ HELP I WILL GIVE BRANLIEST

Myrna wants to know how many pairs of jeans middle school students own. She did not have time to ask all 257 middle school students, so she surveyed a random sample of 25 students. The results below display the number of pairs of jeans each surveyed student owns.


3, 4, 2, 1, 3, 1, 2, 4, 2, 3, 1, 2, 4, 2, 3, 2, 2, 6, 1, 1, 2, 4, 1, 1, 2


The mean of her data is 2.36 pairs of jeans. From the given data and the calculated mean, which inference could Myrna make?


A. All middle school students own jeans.

B. The average middle school student owns around two pairs of jeans.

C. Most seventh-grade students prefer cargo pants to jeans.

D. An average middle school student owns three or more jeans.

Answers

Answer: B-The average middle school student owns around two pairs of jeans.

Step-by-step explanation:

-2/8, -0.2, -3/7 from least to greatest???

Answers

Answer:

-3/7, -2/8, -0.2

Step-by-step explanation:

-0.2 = -1/5

We have -3/7, -2/8 and -1/5

For positive b and d:

a/b < c/d if and only if a*d < c*b

-3/7 < -2/8 if and only if -3*8 < -2*7; obviously true

-2/8 < -1/5 if and only if -2*5 < -1*8; -10 < -8; true

so we get -3/7 < -2/8 < -0.2

Brianna has 6 bags of soil. Filling one flowerpot requires 1/3 of a bag of soil. How many flowerpots can be filled with these 6 bags?
A.1/2
B.2
C.18
D.24
Help I suck at math 0-0

Answers

Answer:

C. 18

Step-by-step explanation:

Inverse of 1/3 = 3

3 x 6 = 18

18 flowerpots can be filled with these 6 bags.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

We have,

Brianna has 6 bags of soil.

Filling one flowerpot requires 1/3 of a bag of soil.

So, the number of flowerpots filled using 6 bags

=  6 / (1/3)

= 6 x 3

= 18 pots

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ5

6. Petra visited the Empire State Building, which is approximately 1454 ft tall. The
scale of the model she bought is 1 in = 200 ft. What is the height of the model in
inches?

Answers

Answer:

Below.

Step-by-step explanation:

1454 / 200

= 7.27 inches.

find the surface area of the prism. 13.5in 9in 9in 10in​

Answers

Answer:

I got the same answer

Step-by-step explanation:

Answer:

41in

Step-by-step explanation:

Please help me solve this

Answers

Answer:

1st pic:

x = 49

top angle = 45

bottom angle = 108

far right angle = 27 degrees

2nd pic:

angle 1 = 88 degrees

angle 2 = 57 degrees

angle 3 = 35 degrees

angle 4 = 145 degrees

Step-by-step explanation:

1st pic:

you can find the far right angle by taking 153 and subtracting it from 180:

⇒ 180 - 153 = 27 degrees

you can find x by the following equation ⇒ x - 4 + 2x + 10 + 27 = 180

combine like terms ⇒ 3x + 33 = 180

subtract 33 from each side ⇒ 3x + 33 - 33 = 180 - 33 ⇒ 3x = 147

divide 3 on each side: ⇒ [tex]\frac{3x}{3} = \frac{147}{3}[/tex]

x = 49

to find the top and bottom angles, substitute 49 for x:

top angle : x - 4

49 - 4 = 45 degrees

bottom angle: 2x + 10

2 x 49 + 10 = 108 degrees

2nd pic:

angle 1:

⇒ 180 - 92 = 88 degrees

angle 2:

⇒ 180 - 123 = 57 degrees

angle 3:

⇒ 180 - (88 + 57) = 35 degrees

angle 4:

⇒ 180 - 35 = 145 dgerees

I wanna know how to solve
the equation ​

Answers

Answer:

-72=r

Step-by-step explanation:

Given the system of equations, what is the value of the system determinant?
2x + y = 8
x - y = 10
0-1
0-2
0-3

Answers

Given:

The system of equation is

[tex]2x+y=8[/tex]

[tex]x-y=10[/tex]

To find:

The value of the system determinant.

Solution:

If two equations of a system of equations are [tex]a_1x+b_1y=c_1[/tex] and [tex]a_2x+b_2y=c_2[/tex], then the system determinant is

[tex]D=\left|\begin{matrix}a_1&b_1\\a_2&b_2\end{matrix}\right|[/tex]

[tex]D=a_1b_2-b_1a_2[/tex]

The given two equations are [tex]2x+y=8[/tex] and [tex]x-y=10[/tex].

Here, [tex]a_1=2,b_1=1,c_1=8, a_2=1,b_2=-1,c_2=10[/tex].

[tex]D=\left|\begin{matrix}2&1\\1&-1\end{matrix}\right|[/tex]

[tex]D=(2)(-1)-(1)(1)[/tex]

[tex]D=-2-1[/tex]

[tex]D=-3[/tex]

The value of the system determinant is -3. Therefore, the correct option is C.

Answer:

-3

Step-by-step explanation:

2x+-3=8

x-3=10


What is the area of the triangle below (in square units)?
10 mm
90mm

Answers

Answer:

450

Step-by-step explanation:

Answer:

450 square units, the formula is bxh divided by 2

Step-by-step explanation:

what is 40 percent of 90 percent

Answers

Answer:0.36

or 36

Step-by-step explan: used calculator

Is c 9/10 ? I’m probably wrong

I’m a little confused please help

Answers

C is 9/10 and it’s totally fine being confused

through: (-3,-4) and (0,4)

Answers

Answer:

The slope = 8/3

Step-by-step explanation:

Let's find the slope between your two points.

(−3,−4);(0,4)

(x1,y1) = (−3,−4)

(x2,y2) = (0,4)

Use the slope formula:

m= y2−y1 / x2−x1

= 4 − −4 / 0 − −3

= 8/3

Answer:

m = 8/3

Graph:

hope this helps and is right :)

what is the probability of rolling a dice twice and getting a six?

Answers

[tex] \huge \boxed{ \fcolorbox{black}{aqua}{Answer}}[/tex]

There are a total of 6 x 6 = 36 possible outcomes when a fair die is rolled twice. Of the 36 possible outcomes, there are 6 doubles: 1-1, 2-2, 3-3, 4-4, 5-5, and 6-6. Thus, the probability of getting a double is 6/36 = 1/6.

1/6 if you are looking for it in fraction form. Because there are 6 side on a dice, and every one of them count as one sixth of the dice. So 1/6 would be your final answer.

Write an equation of the line with the given​ slope, m, and​ y-intercept (0,b).
The equation is ______ m=0, b =-5
3.
​(Simplify your answer. Type your answer in​ slope-intercept form. Use integers or fractions for any numbers in the​ equation.)

Answers

Answer:?

Step-by-step explanation:

Answer:

ur bad

Step-by-step explanation:

Plz, answer this question plz!
Plz, answer this question plz!

Answers

I wanna say I: 4

Hope this helps!!

Answer:

24

Step-by-step explanation:

4 x 3 x 2 x 1 = 24

or P(4,4) = 4! = 24

Please help due today right now

Answers

Answer:

Find "f(6)" __-8__

Find x when "f(x)=2" __x=1__

Step-by-step explanation:

For the first part, we will substitute 6 into the f(x) to get "-2(6)+4" When simplified further, you get "-12+4" which is "-8"

For the second part we will substitute the two as the answer of f(x) "-2x+4=2" Simplifying this further we get "-2x=-2" This means that x=1

Triangle ABC is reflected over the x-axis. What are the coordinates of the image of the vertex A?

Answers

the correct answer would be d (2,-5)

I REALLY NEED THIS... PLEASEEE...
Solve the system by substitution.
y= 4x+22
y= −7x

Answers

Answer:

x= -2

x= 14

Step-by-step explanation:

Hope this is useful! have a wonderful night or day, God bless you!

Please help me , at least do one and explain it please .

Answers

9514 1404 393

Answer:

113.0 cm²2464.0 in²95.0 ft²

Step-by-step explanation:

1. The area of a circle is given by the formula ...

  A = πr² . . . . . where r is the radius

The radius is shown as 6 cm, so the area is ...

  A = (3.14)(6 cm)² = 113.0 cm²

__

2. The radius is shown as 28 in. We note that this is a number divisible by 7, so we choose 22/7 for π.

  A = (22/7)(28 in)² = 2464 in² . . . . see comment

__

3. The radius is half the diameter, so is 11/2 = 5.5 ft. Then the area is ...

  A = (3.14)(5.5 ft)² = 95.0 ft²

_____

Additional comment

If you use a more exact value of π for problem 2, the area is 2463.0 in². If you use 3.14 as the value of π, the area rounds to 2461.8 in². For these values of pi (3.14 or 22/7), the answer is only good to about 3 significant digits. 2464 has more significant digits, so digits beyond the first 3 may be in error.

please help!!

55% of students say chocolate is their favorite ice cream flavor. If 88 students said chocolate is their favorite ice cream flavor, how many total students were surveyed?

Answers

Answer:

160

Step-by-step explanation:

total = 100%

we know,

55 % of total = 88

or, 55/100 * total = 88

so total = 160

Find the equation of the line.
Use exact numbers.

Answers

Answer:

y = 2/3x+4

Step-by-step explanation:

X+4=y-6
!!!!!!!!!!!!!!

1.5+4=2.3−1.2 in decimal form

Answers

Answer:

5.5=1.1

Step-by-step explanation:

hope this helps:)

What happens to the inequality sign when you multiply or divide by a negative
number?

Answers

Answer:

Much like when you divide by a negative number, the sign of the inequality must flip! ... When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side!

Step-by-step explanation:

Answer:

It switches sides

Step-by-step explanation:

Example 2<4, 2<4(-2)=2<-8

HELPPPPPPPPPP

The point (-10,4) is on the graph of which of these functions? Select ALL that apply.​

Answers

3 Answers: Choice B, choice D, choice E.

===========================================================

Explanation:

We'll plug x = -10 into each equation shown. If we get y = 4 as an output, then it is one of the answers.

------------------------------

A)

y = -x^2 + 6

y = -(-10)^2 + 6

y = -100 + 6

y = -94

We don't get y = 4, so we cross choice A off the list.

The point (-10,4) is not on y = -x^2+6. Instead, the point (-10,-94) is.

------------------------------

B)

y = (-1/2)*x - 1

y = (-1/2)*(-10) - 1

y = 5 - 1

y = 4

We can see that x = -10 leads to y = 4. The point (x,y) = (-10,4) is on the line. Choice B is one of the answers.

------------------------------

C)

y = (-1/10)*x - 3

y = (-1/10)*(-10) - 3

y = 1 - 3

y = -2

Choice C is not one of the answers since we want y = 4 as an output. So we can cross choice C off the list.

The point (-10,-2) is on the line instead of (-10,4)

------------------------------

D)

y = (1/10)x + 5

y = (1/10)*(-10) + 5

y = -1 + 5

y = 4

Choice D is one of the answers

------------------------------

E)

y = (1/5)*x^2 - 16

y = (1/5)*(-10)^2 - 16

y = (1/5)*(100) - 16

y = 20 - 16

y = 4

Choice E is one of the answers

------------------------------

An alternative method is to graph each equation and see if (-10,4) is on the curve or not. See the diagram below. Only choices B, D and E have (-10,4) on their respective curves.

Other Questions
Please forgive me, I've got demons in my head.People tell me the demons aren't as bad as I say. "You're letting them control you!" they say. "They aren't that bad! You're making it up for attention!"Addie and Ziah dig their claws in a little deeper every time they hear that.When I tell people about Addie and Ziah, how they hurt me, they tell me to just try not to listen. "Don't listen to them! Be happy! If you think positively, they'll go away."They've taken all my happy thoughts. Ziah feeds on them, spitting them back out as poison that Addie then spreads like a disease until there's nothing left.Ziah whispers in my ear, telling me how terrifying the world is, how everyone hates me, how everyone judges me, how I'm messing up, how I'm a waste of space and air, how I should just give up. She reminds me of how fragile I am, how easy it would be to draw blood, how easy it would be to give up.Addie is less subtle, choosing to scream rather than whisper.She isn't as nice, either. Ziah is only telling the truth, but Addie tells me anything she thinks of.What if you put your finger in an electric socket? she screams. What if you chewed your fingers until they bled? What if you went a little too far while wrestling with your siblings? What if you threw something across the room?What if you died?Sometimes they work in harmony, screaming and whispering at the same time, telling me I'm not enough so I should hit something, telling me I'm worthless so I should distance myself from everyone, telling me I should just... stop.Addie doesn't stop at screaming in my ear, though. She's in my whole body, in my legs to make them constantly bounce and annoy people (Ziah loves that, she tells me everyone hates me because I'm constantly moving). She's in my chest, squeezing my heart and lungs and filling them with electricity until I feel like I have to burst (Ziah does this too, except when she does it hurts more). She's in my brain, stealing my memories and thoughts and setting fire to my emotions.Fire. That's a good way to describe what Addie does to me. She sets fire to my skin, making it crawl with energy until I feel like it's going to break through and I'm going to die. She sets fire to my thoughts and memories until they burn up and I can't find them anymore. She sets fire to my emotions, making them burn too brightly and too hot until I burn other people with them.Full would be another good way. I'm full of energy and emotion and it makes me feel sick and pressured and I need to do something, anything to release the pressure, and sometimes I feel as though knives are the only option~They aren't, though. Haven't been for almost a year now. Addie and Ziah have given me that much.Nobody blames the demons, though. They blame me."Why can't you sit still? Why can't you be quiet? Why can't you remember? Why can't you pay attention? 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