Solve the following quadratic equation: (x-16)^2= 256

Answers

Answer 1
Simplifying
(x + -16) * 2 = 256

Reorder the terms:
(-16 + x) * 2 = 256

Reorder the terms for easier multiplication:
2(-16 + x) = 256
(-16 * 2 + x * 2) = 256
(-32 + 2x) = 256

Solving
-32 + 2x = 256

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '32' to each side of the equation.
-32 + 32 + 2x = 256 + 32

Combine like terms: -32 + 32 = 0
0 + 2x = 256 + 32
2x = 256 + 32

Combine like terms: 256 + 32 = 288
2x = 288

Divide each side by '2'.
x = 144

Simplifying
x = 144
Answer 2

Answer:

x = 32 or x = 0

Step-by-step explanation:

(x - 16)² = 256

Expand and simplify the equation.

x² − 32x + 256 = 256

Subtract 256 from either side of the equation.

x² − 32x + 256 − 256 = 256 − 256

Simplify the equation.

x² - 32x = 0

Factor and set the factors to 0.

x = 0 or x = 32

The answer is x = 0 or x = 32.

I have done this test on Plato/Edmentum. I can promise this answer is correct, I've gotten a 5/5.

Good luck ^^


Related Questions

Probability & Sampling:Question 4
If the probability of a chance event is 0, it is
to happen
when compared to a chance event with a probability of 1.
Select one:
both more and less likely
less likely
more likely
equally likely

Answers

Answer:

more likely

Step-by-step explanation:

What does 2+2 equal

Answers

2+2=4

a^2+b^2=c^2
15^2-4^2
=225-16
=209

Answer: 14.4

Step-by-step explanation: To find the third side of the triangle, we have to  use the pythagorean theorem...

a² + b² = c²

a² + 4² = 15²

a² + 16 = 225

225 - 16 = 209

[tex]\sqrt{209}[/tex]

a ≈ 14.4 (If rounded it would be 14)

I hope this helps!

Find the midpoint of the segment with the following endpoints (6,3) and (10, – 7)

Answers

Answer:

-5/2

Step-by-step explanation:

-7-3/10-6 = -10/4 which equals -5/2

Round your answer to the nearest hundredth..
B
?
5
2
A
С

Answers

Answer: m<B = 66.42

Step-by-step explanation:

Use cosine to find the missing angle.

Cosine = adjacent/hypotenuse

cos x = 2/5

since you know the side lengths and you’re finding the angle, use inverse cosine

cos -1 (2/5) = 66.4218215...

m<B = 66.42

Hey there!

We are looking for an angle. Whenever we want to look for an angle in a right triangle given two sides, we use inverse trigonometric functions. This is basically the inverse operation of the sine, cosine, and tangent. You could use it to undo any of these in an equation. If you said that the sine of x was equal to 1/2, you would do the inverse sine of 1/2 and get that x=30.

In our case, we see that the cosine of our angle is 2/5. How do we know that?

Well, we can remember the trigonometric functions using the mnemonic "soh cah toa"

SOH

Sine= Opposite/Hypotenuse

CAH

Cosine= Adjacent/Hypotenuse

TOA

Tangent= Opposite/Adjacent

If we look at the number values we have, we have 2 (the adjacent side to the angle) and 5 (the hypotenuse). This is adjacent over hypotenuse, which is the cosine. So, the cosine of our angle is 2/5.

Now, we can put this into an equation. I will call the measure of our mystery angle Θ (theta).

cosΘ= 2/5

We want to get the theta by itself to solve the equation. To do this, we have to use the inverse cosine on both sides of the equation to cancel out our cosine and figure out the value of theta. The inverse trig functions can be found on a calculator :)

cos[tex]^-1[/tex]cosΘ=cos[tex]^-1[/tex] 2/5

Θ ≈ 66.42

I hope that this helps! Now you will be able to find any angle given two sides of a right triangle! Have a wonderful day!

if 40 m of cloth is sold at taka 1500.there is a profit of 11 percent.what is the cost price

Answers

Answer:

hi

Step-by-step explanation:

hi

I’m not sure how to do the problem but I found a problem like it and an explanation on how to do it hope this helps

A large purple bowl contains 5 blue marbles and 3 pink marbles. What is the probability a blue marble is drawn, replaced, and a second blue marble is drawn?

Answers

Answer:

[tex]\frac{25}{64}[/tex]

Step-by-step explanation:

Blue Marbles =5

Pink Marbles =3

Total =3+5=8

Probability of drawing two marbles with replacement

=P(First Blue Marble AND Second Blue Marble)

=P(First Blue Marble) X P(Second Blue Marble)

[tex]=\frac{5}{8}X \frac{5}{8}\\\\=\frac{25}{64}[/tex]

The price of a watch was increased by 20% to £162. What was the price before the increase?

Answers

Answer:

= £135

Step-by-step explanation:

Original price = 100%

Percentage increase = 20%

New price = 100% + 20% = 120%

If 120% = £162

What about 100% = ?

= (100 x 162) ÷ 120

= 16200 ÷ 120

= £135

Answer:

sh.129.60

Step-by-step explanation:

20%...€162

€162 times 80 over 100

€81 times 8....over 5

€648 divide 5

......ans...... €129.60

Simplify 4x-3(x-2y)+ .5(6x-8y)

Answers

Answer:

4x +2y

Step-by-step explanation:

4x-3(x-2y)+ .5(6x-8y)

Distribute

4x -3x+6y +3x -4y

Combine like terms

4x-3x+3x  +6y-4y

4x +2y

The surface area of a prism is 224 square inches. What is the surface area of a similar prism that has dimensions that are 1/4 the original dimensions?

Answers

Answer:

The surface area of the similar prism is 56 square inches

Step-by-step explanation:

Given surface area of prism, A = 224 square inches

The total surface area of a triangular prism = 2 x Area of triangle + ph

Area of triangle = ¹/₂bh

Where;

b is the base of the prism

h is the height of the prism

p is the perimeter of lateral surfaces

Area of prism involves the product of the dimensions, if the new dimensions is 1/4 the original dimensions;

Product of original dimensions = 224 square inches

1/4 of the product of original dimensions = 1/4 x 224 square inches

= 56 square inches

The surface area of the similar prism = 56 square inches

Thus, the surface area of the similar prism is 56 square inches


1. Lily is paid $5.25 per hour for raking leaves.
What is the Dependent Variable:
What is the Independent Variable:
The Rate of Change:
The Initial Value:
The Equation:
Direct / Partial:

Answers

5.25 per hour dependent

independent raking leaves

Need Answer Fast Please to solve the Linear Expression: 5(5n+2)+(3-2n)

Answers

Answer:

23n +13

Step-by-step explanation:

5(5n+2)+(3-2n)

Distribute

25n + 10 +3 -2n

Combine like terms

25n -2n  + 10+3

23n +13

Answer:

[tex]23n + 13[/tex]

Step-by-step explanation:

[tex]5(5n + 2) + (3 - 2n) \\ 25n + 10 + 3 - 2n \\ 25n - 2n + 10 + 3 \\ = 23n + 13[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

answer these questions
1. 3 1/2 + 3/4 =
2. 5/6 0f 54 =
put both answers

Answers

Look at the attached picture...

Hope it will help you....

Anyone understand how to do this?

Answers

Answer:

f ( x ) = - 2x^2 + 3x + 1

Step-by-step explanation:

If f (x ) extends to → − ∞, as x→ − ∞ , provided f(x) → − ∞, as x → +∞, we can rewrite this representation as such;

− ∞  < x < ∞, while y > − ∞

Now the simplest representation of this parabola is f ( x ) = - x^2, provided it is a down - facing parabola;

If we are considering a down - facing parabola, the degree of this trinomial we should create should be even, the LCM being negative. Knowing that we can consider this equation;

Solution; f ( x ) = - 2x^2 + 3x + 1, where the degree is 2, the LCM ⇒ - 2

Solve for V in V = s 3, if s = 4. V = a0

Answers

Answer:

64\ units^{3}

Step-by-step explanation:

we have

V=s^{3}

This is the formula to calculate the volume of a cube

where

s is the length side of the cube

In this problem we have

s=4\ units

substitute

V=4^{3}=64\ units^{3}

Hello can someone please help me with this question will give brainliest

Answers

Answer:

X and Y have a weak, negative correlation.

Answer:

The answer is x and y have a weak negative correlation

Step-by-step explanation:

The points do not form a very straight line, so that is considered weak.

The points are arranged from higher on the left to lower on the right, indicating a negative slope.

I hope this helps! :)

Need help ASAP. WILL MARK BRAINLIEST.

Answers

Answer:

5pi

Step-by-step explanation:

Find the surface area of the prism. Write your answer as a fraction or mixed number.

Answers

Answer:

2⅔ ft²

Step-by-step explanation:

A cube has 6 square faces

6 × (⅔)²

6 × 4/9

8/3

2⅔

Answer:

[tex] 2\frac{2}{3} {ft}^{2} [/tex]

Point N′(7, –8) is the image of point N(7, 8) under a reflection. What is the image of (–4, –10) under the same reflection?

Answers

Answer:

Image of the point (-4, -10) after reflection will be (-4, 10).

Step-by-step explanation:

Point N(7, 8) when reflected across x-axis, coordinates of the image point become N'(7, -8).

Rule for the reflection over the x-axis is

(x, y) → (x, -y)

Under the same reflection or following the same rule rule,

(-4, -10) → (-4, +10)

Therefore, image of the point (-4, -10) after reflection will be (-4, 10)

Thank you for helping me

Answers

Answer:

thank you for giving me points ;)

Step-by-step explanation:

answer. you’re welcome.

When 8=8 is it infinite solutions, no solutions

Answers

Answer:

infinite

Step-by-step explanation:

no solution would be something like 8=4 because it is not true

Answer:

Infinite solutions

Step-by-step explanation:

What is the surface area?
10 cm
8 cm
10 cm
12 cm
10 cm
square centimeters

Answers

Step-by-step explanation:

surface area = (2*0.5*12*8) + (2*10*10) + (12*10)

= 96 + 200 + 120

= 416 cm^2

Write 21 9/1000 in decimal form

Answers

Answer:

the answer in decimal form is 21.009

Answer:

= 21.009

Step-by-step explanation:

First change it to an improper fraction

= 1000 x 21 + 9

= 21009/ 1000

You then divide it by 1000 without leaving a remainder.

= 21.009

Can u guys help pls? This is due in 10 mins

Answers

Answer:

Question 7: 16n^8 Question 8: 6r^4 Question 4: (-1,-7) Question 6: 6y^7

Step-by-step explanation:

Do i need it?

8. c 6r^4
6. b 6y^7
7. b 16n^8

The oblique prism has a rectangular base with a width of 10 units and a length of 13 units.


An oblique prism with a rectangular base is shown. The rectangular base has a width of 10 units and a length of 13 units. The distance between the top and the bottom base is 17 units. The top base extends 8 units to the right of the bottom base.


The top base extends 8 units to the right of the bottom base. What is the volume of the prism?

Answers

Answer:

Volume of the prism = 1950unit³ (C)

Step-by-step explanation:

The question is incomplete without the diagram of the oblique prism and its dimension.

Find attached the diagram used in solving the question.

The prism has a rectangular base:

width= 10 units

length = 13 units

The distance between the top and the bottom base = 17 units.

Volume of prism = Area of base × height

Area of base = area of rectangle = Length ×width

= 13× 10

Area of base = 130unit²

To get the height, we would apply Pythagoras theorem

Hypotenuse² = opposite² + adjacent ²

17² = h² + 8²

289 = h² + 64

h² = 289-64 = 225

h = √225

h = 15unit

Volume of the prism = 130 × 15

Volume of the prism = 1950unit³ = 1950 cubic units

Answer:

The answer is C which is 1950 on EDGE

Step-by-step explanation:

BJ added a cell phone to his familys plan his phone costs $5 a month how much does his phone cost him over 6 months?



help meeeeeeeee fammmm​

Answers

Answer:

30

Step-by-step explanation:

6 x 5 is 30.

A circle has a radius of
square route of 13 units and is centered at (-9.3, 4.1).
Write the equation of this circle.

Answers

Answer:

[tex](x+9.3)^{2} +(y-4.1)^{2} = 13[/tex]

Step-by-step explanation:

Answer:

(x+9.3)^2+(y-4.1)^2=13

Step-by-step explanation:

yo was the answerrrrrr n how u do it???????

Answers

Answer:

A pizza with 8 slices has price: 12$, then each slice cost:

12/8 = 1.5$

Hope this helps!

:)

Answer:

$1.50

Step-by-step explanation:

Total cost of pizza: $12

The pizza has 8 slices, so 12 divided by 8 will give the cost of one slice.

12/8 = 1.50

one slice of pizza costs $1.50

how to get the answer ?

Answers

Answer:

x=-3

Step-by-step explanation:

This is a vertical line, vertical lines have a slope of undefined

They are of the form

x = something

In this case x= -3

prime numbers less than 30

Answers

Answer:

2,3,5,7,11,13,17,19,23,29

Step-by-step explanation:

Answer:

Hey!

All the Prime numbers under 30 are...

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Step-by-step explanation:

HOPE THIS HELPS!!

Heyy anybodyy help me please!

Answers

Answer: They are both tesselate shapes

Step-by-step explanation: The only shapes that can tesselate are the square, the equilateral triangle, and the hexagon. On this problem, it includes the equilateral triangle and the square, so therefore both of them are able to tesselate

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