Now that you have x² - 8x + 16 = 9 + 16, apply the square root property to the equation.

Answers

Answer 1

Answer:

x=−1,−7

Step-by-step explanation:

Answer 2

Answer:

The solutions are {-1, 9}

Step-by-step explanation:

x² - 8x + 16 can be re-written as (x - 4)^2, and 9 + 16 as 25.

Taking the square root of both sides of (x - 4)^2 = 25, we get:

x - 4 = ±5, or:

x = 4 + 5 = 9, and

x = 4 - 5 = -1

The solutions are {-1, 9}


Related Questions

My friend makes $7.50 an hour and a combined total of $1500 dollars has made up all of her income from that job. She's curious how much she would have if she was making $8.50 but doesn't wanna go recount her hours herself. Any quick/easy way to find out?

Answers

Answer:

use conects thats the best for any math problem including word problems

Answer:

$1500/$7.50 = 200 hours

Step-by-step explanation:

Divide the amount she made by how much she makes an hour.

[tex]\frac{1500}{7.50}[/tex] = 200 hours

-13 can be classified as

Answers

Answer:

The answer is Rational Number

Step-by-step explanation:

I don't get this pls help

Answers

Answer:

  d, e

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

__

In this case, it means the product is ...

  (6^1)(6^0)(6^-3) = 6^(1+0-3) = 6^-2 = 1/6^2 = 1/36

__

The 6 without an exponent is equivalent to 6^1, an exponent of 1.

The sum of the exponents is -2.

Add the exponents to simplify the expression.

The value of the expression is 1/36.

An equivalent is any expression that results in 6^-2. One such is (6^5)(6^-7).

__

Only the last two choices, d and e, apply.

Suppose there is a pile of​ quarters, dimes, and pennies with a total value of ​​$1.08
A) How much of each coin can be present without being able to make change for a​ dollar?B) Explain why​ $1.19 is the greatest amount of money it is possible to have without being able to make change for a dollar.

Answers

Answer:

a)

if 1 quarter = $ 0.25

  1 dime = $ 0.10

  1 penny = $ 0.01

so to make the total of $1.08 and its is also required to calculate the number of each coins present without being able to make change for a dollar

therefore we say;

1 Quarter + 8 dimes + 3 penny

: ( 1 × 0.25 ) + ( 8 × 0.10 ) + ( 3 × 0.01 )

: 0.25 + 0.80 + 0.03 = $ 1.08

b)

Now if you have a 4 Quarters, you have change for $1.

If you have 5 dimes, you have change for 2 Quarters.

If you have nickel; one of those can combine with 2 dimes to have a change for a Quarter.

If you have 5 pennies, you have enough change for 1 nickel

Therefore

(4-1)×0.25 + (5-1)×0.1 + (0×0.05) + (5-1)×0.01 = x

(3 × 0.25) + ( 4 × 0.1) + 0 + ( 4 × 0.01) = x

x = 0.75 + 0.4 + 0.04

x = $ 1.19

PROVED

Using your understanding of analytic and synthetic geometry, which of the following figures does not belong?

Answers

Answer:

Pyramid

Step-by-step explanation:

Figures in the diagram:

Triangle formed by 3 line segmentsPlane (intersecting the prism)Pyramid

The first two have two dimensions and the third one has three dimensions

Therefore pyramid does not belong

What is the rectangle's height and base?

Answers

Answer:

Base = 16cm

Height = 7cm

Answer:

base = 16 cm

height = 7 cm

Step-by-step explanation:

area of a rectangle = base (b) x height (h)

base (b) = 9 + h

area = 112 cm²

plug in values:

112 = (9 + h) * h

112 = 9h + h²

h² + 9h - 112 = 0

h can be solved using quadratic equation

       -9 ± √ (9² - 4 (1) (-112))

h = --------------------------------------

                        2

     -9 ± √529

h = ----------------

            2

h = 7  ;    h = -16

therefore  the height of  a rectangle (h) = 7 cm

solve for base (b)

base (b) = 9 + h

base (b) = 9 + 7

base (b) = 16 cm

proof:

area of a rectangle = base (b) x height (h)

112 = 16 * 7

112 = 112 ---- ok

Select the correct name for the following line.

Answers

The answer would be A!

The reason it's A is because you have two arrors on the number line! Hope this helps with your odyssey ware work!

[tex]\overline{AB}[/tex] is the correct name for the given line.

What are are different names of a line ?

A line is called a line segment when it has two endpoints.

A line is called a ray when it has one initial point and the other end is denoted by an arrow stating it can be extended in one direction.

A line with two arrows can be extended in both directions generally called a line.

According to the question we have been given a diagram and we have to determine the correct name of the line AB with two points.

We know that when a line has two end points it is called a line segment.

∴ The correct name is [tex]\overline{AB}[/tex]

Learn more about lines here :

https://brainly.com/question/11689511

#SPJ2

How is the product of 3 and –2 shown using integer tiles?

Answers

Answer:

-6

Step-by-step explanation:

you multiply (3)x(-2). a negative times a positive is a negative. so you get -6

a companies division registered a loss of -$2480 while producing 80 identical parts what was the last per part

Answers

Answer:

the loss per part was - $31

Step-by-step explanation:

If the total of losses was $2480 for 80 identical parts, then the loss per part is the division of $2480 by 80:

$2480/80 = $31

So the loss per each part was $31

which normally will be given with a negative sign in front indicating loss:

- $31

Juliette bought a bag of gummy bears that cost
$2.74. She gave the clerk $10. How much money
will she get back in change?

Answers

Answer:

$7.26

Step-by-step explanation:

[tex]10\$ - \$2.74\\\\= \$7.26[/tex]

The amount of the money that she get back in change will be $7.26.

What is subtraction?

It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.

Juliette bought a bag of gummy bears that cost $2.74.

She gave the clerk $10.

Then the amount of the money that she get back in change will be

⇒ $10 – $2.74

⇒ $7.26

More about the subtraction link is given below.

https://brainly.com/question/4319655

#SPJ2

A data set that includes the years in which your hometown team won championships would be classified as what type of data

Answers

Answer:

Interval

Step-by-step explanation:

The interval scale is guageable and data following this scale can be added and subtracted.

Years are values we can either subtract or minus so they fall under the interval scale.

Also, they have no absolute zero, which is a characteristic of the interval scale.

Find the domain and range of following using interval notation

Answers

Answer:

Domain: [- ∞, 4.5],

Range: [0.5, ∞]

Step-by-step explanation:

One approach is a graphical representation to solving the problem, which you can see as the two attachment's below. Clearly the domain would be on the interval [- ∞, 4.5] and the range would be on the interval [0.5, ∞]. There is another approach to this though,

We can determine the domain by finding what value for p makes the function undefined

Given : h(p) = (p + 3) / (2p - 9),

Value for p where denominator = 0 :

2p - 9 = 0,

2p = 9,

p = 9 / 2 = 4.5

And to determine the range we have to determine the set of values that corresponds with the domain. In this case it's p = 0.5.

Help me with #4
It’s about limits for calculus class
Show steps
Your help is much appreciated!

Answers

Step-by-step explanation:

a. lim(x→2) [g(x) + h(x)]

Use additive property of limits.

= lim(x→2) g(x) + lim(x→2) h(x)

= 0 + 5

= 5

b. lim(x→2) [3 h(x)]

Use multiplication property of limits.

= [lim(x→2) 3] [lim(x→2) h(x)]

= 3 lim(x→2) h(x)

= 3 (5)

= 15

c. lim(x→2) [g(x) h(x)]

Use multiplication property of limits.

= [lim(x→2) g(x)] [lim(x→2) h(x)]

= (0) (5)

= 0

You leave home at 10 AM on a trip and arrive at 12 noon. The trip is a total of 100 miles. How fast are you going at 11AM

Answers

Answer:

50mph

Step-by-step explanation:

Solve for j.
J + 22/8 =8

Answers

Answer:

j=5.25

Step-by-step explanation:

j+22/8=8

j=8/1-22/8

j=64-22/8

j=5.25

Proof:

5.25+22/8=8

525/100+22/8=8

4200+2200/800=8

6400/800=8

8=8

simplify (8 ^2/3) ^4

Answers

Answer:

[tex]8^{\frac{8}{3}}[/tex]

Step-by-step explanation:

Rule of Exponents: [tex](r^n)^m=r^{m(n)}[/tex]

Simply multiply the powers together:

2/3(4) = 8/3

[tex]8^{\frac{8}{3}}[/tex]

Answer:

Its 8 and eight-thirds

Step-by-step explanation:

An online test of English spelling looked at how well people spelled difficult words. The bar graph to the right shows how many people per 100 spelled each word correctly. a. Estimate the number of people per 100 who spelled weird correctly Round to the nearest 5 b. In a group consisting of 8719 randomly selected people estimate how many more people can correctly spell weird than inoculate a. The approximate number of people per 100 who spelled were correcily is (Type a whole number​

Answers

Answer:

60 ; 5220

Step-by-step explanation:

A) From the horizontal bar chart provided, it could be inferred that 85 people spell the word 'weird' correctly. The graph is scaled on a fixed interval of 10. Hence, the midpoint of 10 = 5

(80 + 5) = 85

B) In a group consisting of 8719 randomly selected people estimate how many more people can correctly spell weird than inoculate

From the graph :

85 per 100 could spell weird correctly while,

About 25 per 100 could spell inoculate correctly.

Difference In number per 100 people

(85 - 25) = 60 people per 100

We could round 8719 to the nearest 100 = 8700

Number of 100's in 8700 = 8700/100 = 87

(87 × 60) = 5,220 people

I need help pls need to fill space lsadkasldka;lsdkalsdkalsdkasl;daks adl;kasl;daks

Answers

Answer:

D

Step-by-step explanation:

Subtract (-4+6i) from (1-4i)

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{5 - 10i}}}}}[/tex]

Step-by-step explanation:

There are two methods to find out the addition and subtraction of algebraic expressions. In horizontal method, expressions are arranged in same row and put sign for addition or sign for subtraction and remove the bracket and then simplify. In vertical method, expressions are arranged in different rows such that like terms are in same volume and unlike in different columns and simplify.

So, I am going to use these both methods.

In a vertical arrangement ,

( See attached picture)

( While subtracting , sign of each term of the second expression changes )

Next method,

In a horizontal arrangement, we have

[tex] \sf{1 - 4i - ( - 4 + 6i)}[/tex]

⇒[tex] \sf{1 - 4i + 4 - 6i}[/tex]

⇒[tex] \sf{1 + 4 - 4i - 6i}[/tex]

⇒[tex] \sf{5 - 10i}[/tex]

Hope I helped!

Best regards!!

Find the area of the blue shaded shape.

Answers

Answer:

assuming that 1 square is 1 ft, 22ft²

Step-by-step explanation:

4 + 8 + 10 = 22

Answer:

22cm²

Step-by-step explanation:

1 unit square = 1cm

Number of unit squares = 22

Area of square = side × side

=( 1×1) cm

Area of 1 unit square = 1cm²

Area of 22 unit squares = 22cm²

Hope it helps.

Find x for the angles please!!! 20pts!

Answers

Answer:

X=53. X=38

Step-by-step explanation:

46+81+x=180

X=180-127

X=53 degrees

31+112+x=180

X=180-143

X=37 degrees

Which describes changes to the graph of w(x), when applying the transformation w(x – 19)?

Answers

Answer:

A point (r, s) on the graph of w(x) moves to (r + 19, s).

Step-by-step explanation:

May be wrong, haven’t checked yet

If the candidate only wants a 0.2% margin of error at a 95% confidence level, what size of sample is needed?

Answers

Answer:

n = 22

Step-by-step explanation:

Using

n = p(1-p)(Zc/E)²

From table E = 0.2 while p= 0.37

So substituting

We have n= 22.4

Thats a sample size of approximately 22

Brian needs to start planning for an upcoming move. He is choosing two different size boxes to pack the majority of his stuff. The volume of the first is 1,728 in³ and the second is 13,824 in³. What is the ratio of the surface areas? Given that the boxes are cubes, what is the surface area of the larger of the two boxes?

Answers

Solution:

Given,

Volume of the-

First cube box=1728 in³

Second cube box=13824in³

We know that volume of cube =a³

So for the first box

a³= 1728 in³

a= 12 in

Now, surface area of the first box

6a²= 6×(12)²

= 864 in²

and for the second box

b³= 13824 in³

b= 24 in

Now, the surface area of the second box

6b²= 6×(24)²

= 3456 in²

Now, the ratio of the surface area of first box to the second box will be

864:3456

=1:4

The surface area of the larger of two boxes is

3456 in²

what number makes the equation true ÷3=6

Answers

Answer:2

Step-by-step explanation:

you just  do 6 divided by 3 and get 2

Helpppp ASAP



PLEASEDEEEE

Answers

Answer: Between 12 and 13

Step-by-step explanation: When put into the calculator to solve the answer comes up as 12.846325...

Rectangle EFGH has verticles at E(7,7), F(1,5), G(2,2), and H(8,4). How many units is the perimeter of rectangle EFGH. Answer choices: A. 20 B. 10√13 C. 5√10 D. 6√10

Answers

Answer:

D. 6√10

Step-by-step explanation:

Given the vertices of a rectangle EFGH as E(7,7), F(1,5), G(2,2), and H(8,4), the perimeter if the rectangle will be the sum total of all the sides of the rectangle.

Using the expression Perimeter of rectangle EFGH = EF+FG+GH+EH

Taking the distance between adjacent vertices to get the length of each segment using the formula;

D = √(x₂-x₁)²+(y₂-y₁)²

For segment EF with vertices E(7,7), F(1,5);

EF = √(1-7)²+(5-7)²

EF = √(-6)²+(-2)²

EF = √36+4

EF = √40

EF = 2√10

For segment FG with vertices F(1,5) and G(2,2);

FG = √(2-1)²+(2-5)²

FG = √(1)²+(-3)²

FG = √1+9

FG = √10

For segment GH with vertices G(2,2), and H(8,4)

GH = √(8-2)²+(4-2)²

GH = √(6)²+(2)²

GH = √36+4

GH = √40

GH = 2√10

For segment EH with vertices E(7,7), and H(8,4)

EH = √(8-7)²+(4-7)²

EH = √(1)²+(-3)²

EH = √1+9

EH = √10

Since  perimeter of rectangle EFGH = EF+FG+GH+EH

Perimeter of rectangle EFGH = 2√10+√10+2√10+√10

Perimeter of rectangle EFGH = 6√10

PLEASE HELP! Simplify radical square root -100

Answers

Answer: OPTION 3 10i

Step-by-step explanation:

First of all, you need to know about imaginary number, or i.

i (imaginary number)= √-1

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

√-100=√100 × √-1 ⇔ This splitting up √-100 to make it easier for you to understand.

√-1=i ⇔ As mentioned before of the concept of imaginary number

√100= 10 ⇔ It is a perfect square

√-100=√100 × √-1

√-100=10 × i

√-100=10i

Hope this helps!! :)

Please let me know if you have any question

16.103 in expanded form

Answers

Answer:

1 ten

6 ones

1 tenth

0 hundredths

3 thousandths

I'm sorry if I misunderstood.

Good luck though! :)

Please add Brainliest if you'd like, not that it matters.

What is the answer to 16a5 b3/8ab ?

Answers

Answer:

When we are dividing exponents, there is this rule:

[tex]\frac{a^n}{a^m}=a^{(n-m)}[/tex]

So, in our case we have this:

[tex]\frac{16a^5b^3}{8ab} = \frac{16}{8}a^{(5-1)}b^{(3-1)}[/tex][tex]=2a^4b^2[/tex]

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