solve (x + 6)² = 64A) x = 8 or x = -8B) x = 2 or x = -2C) x = 2 or x = -14D) x = 4 or x = -16

Answers

Answer 1

Let's solve for x,

\(\text{ (x + 6)}^2\text{ = 64}\)

We get,

\(\text{ (x + 6)}^2\text{ = 64}\)\(\text{ }\sqrt{\text{(x + 6)}^2}\text{ = }\sqrt{\text{64}}\)\(\text{ x + 6 = }\pm\text{ 8}\)\(\text{ x = }\pm\text{ 8 - 6}\)\(\text{ x}_1\text{ = 8 - 6 = 2}\)\(\text{ x}_2\text{ = -8 - 6 = -14}\)

Therefore, the answer is x = 2 or x = -14.

The answer is letter C.


Related Questions

PLEASE HELP ASAP will give brainly

PLEASE HELP ASAP will give brainly

Answers

Answer:

9984 cm³

Step-by-step explanation:

2496 ÷ 1/4

The image shows how to divide, but we get 9984 cm³

PLEASE HELP ASAP will give brainly

The question is asked in the attached file,. Kindly someone answer it in the best way.

The question is asked in the attached file,. Kindly someone answer it in the best way.

Answers

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

What does the Empirical Rule state?

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.

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Can anyone please help me

Can anyone please help me

Answers

Answer:

a. c = 5.5n

b. Continuous

c. $33

Step-by-step explanation:

A store sells assorted nuts for $5.50 per pound.

a) Write a function in equation form to represent the total cost (c) of any number of pounds of nuts (n)

For every n, 5.5 is added to c. Thus, c = 5.5n

b) Will the graph of this function be continuous or discrete?

Continuous domains are ones that continue on in between intervals. For example, the height of someone would be continuous, because it could, for example, be between 50 inches and 70 inches. On the other hand, discrete domains are ones that can only be a set of given numbers. An example would be how much food you need to feed to a number of cats (for example, each cat needs to eat 0.5 pounds of food). Because you cannot have half a cat, the domain needs to have whole numbers.

Because you can buy 0.5 or 0.2 (or any amount of nuts), the domain is continuous.

c) What would the total cost be for 6 pounds of nuts?

Using the function from a), we know that the cost is 5.5n, where n is the amount of nuts you buy, in pounds. So, plug in "6"

5.5n = 5.5 * 6 = 33

Cost is $33

I hope this helps! Feel free to ask any questions!

If A=(4,-5) and B=(7,-9), what is the length of AB

Answers

The length of line segment AB is 5 units.To find the length of line segment AB, we can use the distance formula, which is based on the Pythagorean theorem.

The distance formula calculates the distance between two points (x1, y1) and (x2, y2) in a coordinate plane.

Let's calculate the length of AB using the given coordinates for points A and B:

Coordinates of point A: A = (4, -5)

Coordinates of point B: B = (7, -9)

The distance formula is given by:

\(d = [(x2 - x1)^2 + (y2 - y1)^2]\)

Substituting the coordinates of A and B into the formula:

\(d = [(7 - 4)^2 + (-9 - (-5))^2]\\d =[(3)^2 + (-4)^2]\)

d = √[9 + 16]

d = √25

d = 5

Therefore, the length of line segment AB is 5 units.

The distance formula calculates the straight-line distance between two points in a two-dimensional space. In this case, it determines the distance between points A and B in the coordinate plane. By applying the formula and substituting the given coordinates, we find that the length of AB is 5 units.

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Problem 1: A potential difference of 10 V is applied across a conductor whose resistance is 25 ω. Calculate the current flowing through it?

Problem  2: If a conductor resistance is 50 Ω and the current passing through the is 5 A. Calculate the potential difference?

Answers

Answer:

Problem 1:

I = 0.4 volts

Problem  2:

V = 250 volts

Step-by-step explanation:

Problem 1:

Given:

Potential difference V = 10 V,

Resistance R = 25 ω,

V = IR

I = V/R

I = 10/25

I = 0.4 volts

Problem  2: 

Current I = 5 A,

Resistance R = 50 ω,

Potential difference

V = IR

V = 5× 50

V = 250 volts

-TheUnknownScientist

The value of y is directly proportional to the value of x. Given y = 12 when x = 36.
What is the value of y when x = 60? Show your work to receive full credit

Answers

Answer:

y = 20

Step-by-step explanation:

The problem states that y = 12 when x = 36. 36/12 is 3. This means that y is a third of what x is. This would mean that if x = 60, y would be a third of 60 which is 20 since 60/3 is 20.

Which expressions are equivalent to the given sort 40 (there is more than one and the one selected is correct)

Which expressions are equivalent to the given sort 40 (there is more than one and the one selected is

Answers

Answer:

\(40 {}^{ \frac{1}{2} } \)

Step-by-step explanation:

The last one is also the answer

Using the rational exponet rule,

\( \sqrt[n]{ {x}^{m} } = x {}^{ \frac{m}{n} } \)

Using this number,

\( \sqrt{40} \)

40 is the base so it will stay same. Remember this is a square root sign so our nth root is 2 so our denominator if the rational exponet is 2.

\(40 {}^{1} = 40\)

so our numerator is 1 so

\(40 {}^{ \frac{1}{2} } \)

Answer:

The correct answers are:

2sqrt10

40^1/2

Step-by-step explanation:

I got it right on the Plato test.

Study the steps used to solve the equation. Given: StartFraction c Over 2 EndFraction minus 5 equals 7 Step 1: StartFraction c Over 2 EndFraction minus 5 plus 5 equals 7 plus 5 Step 2: StartFraction c Over 2 EndFraction plus 0 equals 12 Step 3: StartFraction c Over 2 EndFraction equals 12 Step 4: 2 (StartFraction c Over 2 EndFraction) equals 12 (2) Step 5: c equals 24 Choose the property that justifies each step of the solution. Step 1: Step 2: Step 3: Step 4:

Answers

Answer:

addition property of equalityintegers are closed to additionidentity elementmultiplication property of equalitycommutative property of multiplication; reals are closed to multiplication; identity element

Step-by-step explanation:

Given:

  c/2 -5 = 7

  Step 1: c/2 -5 +5 = 7 +5

  Step 2: c/2 +0 = 12

  Step 3: c/2 = 12

  Step 4: 2(c/2) = 12(2)

  Step 5: c = 24

Find:

  The property that justifies each step of the solution.

Solution:

  Step 1: addition property of equality (lets you add the same to both sides)

  Step 2: integers are closed to addition

  Step 3: identity property of addition (adding 0 changes nothing)

  Step 4: multiplication property of equality

  Step 5: closure of real numbers to multiplication; identity property of multiplication

_____

It is hard to say what "property" you want to claim when you simplify an arithmetic expression. Above, we have used the property that the sets of integers and real numbers are closed to addition and multiplication. That is, adding or multiplying real numbers gives a real number.

In Step 5, we can rearrange 2(c/2) to c(2/2) using the commutative property of multiplication. 2/2=1, and c×1 = c. The latter is due to the identity element for multiplication: multiplying by 1 changes nothing.

Apart from the arithmetic, the other properties used are properties of equality.  Those let you perform any operation on an equation, as long as you do it to both sides of the equation. The operations we have performed in this fashion are adding 5 and multiplying by 2.

Answer:

Step 1 ~ addition property of equality

Step 2 ~ additive inverses

Step 3 ~ additive identity

Step 4 ~ multiplication property of equality

Explanation:

Addition property of equality means that If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. In this problem, they added 5 to both sides to make the equation balanced.

Additive inverses means what you add to a number to get zero.  The negative of a number. -5 + 5 = 0.

Additive identity means that the sum of a number and 0 is that number.

Multiplication property of equality states that when you multiply both sides of an equation by the same number, the two sides remain equal. In this problem, they multiplied 2 to both sides to get rid of the denominator in the fraction.

what is the next term of geometric sequence -1/7,4/7,-16/7

Answers

Answer:

Step-by-step explanation: the answer is 5

Answer:

64/7

Step-by-step explanation:

multiply -16 by -4

Read Edward Corsi’s quotation from the book Immigrant Kids by Russell Freedman. The writer Angelo Pellegrini has recalled his own family’s detention at Ellis Island: We lived there for three days - Mother and we five children, the youngest of whom was three years old. Because of the rigorous physical examination that we had to submit to, particularly of the eyes, there was this terrible anxiety that one of us might be rejected. And if one of us was, what would the rest of the family do? This quotation adds credibility to the text because his mother lived on Ellis Island with her children, and their experience agrees with Freedman’s statement that families were separated. he lived at Ellis Island for three days, and his experience agrees with Freedman’s statement that families were afraid of the health examinations. he was a writer who wrote about Ellis Island and described the feelings an immigrant might have during the physical exams. he lived at Ellis Island for three days, a

Answers

Answer:

he lived at Ellis Island for three days, and his experience agrees with Freedman’s statement that families were afraid of the health examinations

Step-by-step explanation:

In the book immigrant kids, freeman gives readers a glimpse of what it was like to be new and young America. It talked about the journey and what life is like as soon as they arrive.

Pallegrini's experience about rigorous physical examination and the anxiety that followed agrees with freedman's statement about people being afraid of health examinations.

Answer:

he lived at Ellis Island for three days, and his experience agrees with Freedman’s statement that families were afraid of the health examinations

Step-by-step explanation:

i know all that touches the sunlight

1. Diego has 75% of $10. Noah has 25% of $30. Diego thinks he has more money than Noah, but Noah thinks they have an equal amount of money. Who is right?

Select the correct choice.

Answers

Step-by-step explanation:

To find how much 75% we multiply 100 with 75 and divide it with 100

75 × 10 ÷ 100 = 7.5

we need to do same with Noah's money

25 × 30 ÷ 100 = 7.5 Noah is correct, they have same amount.

a student spends 18 out of 35 of his pocket money on transport and fruit what is the fraction left?​

Answers

To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.

17 units would be your answer

Last season Emily soccer team how to win loss ratio of 9 to 12 and Grant soccer team how to win loss ratio of 10 to 15 who’s team has a higher ratio of wins to losses use complete sentences to explain your reasoning

Answers

The Emily soccer team has the higher ratio of wins to losses.

What is Ratio?

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given that,

Ratio of win to loss of Emily soccer team = 9 : 12

Ratio of win to loss of Grant soccer team = 10 : 15

9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60

10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60

If 60 games are losses, then 45 games are wins for Emily soccer team.

If 60 games are losses, then 40 games are wins for Grant soccer team.

Higher ratio is for Emily soccer team.

Hence higher ratio of wins to losses is for Emily soccer team.  

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The function h is defined by the following rule h(x)=-5x-3

Answers

X= -3/5 which is also x= -0.6
the answer is x=-3/5 or -0.6

DD.6 Find side lengths of similar figures
7ZR
You have prizes to reveal!
Go to your game board.

or
If these two shapes are similar, what is the measure of the missing length d?

1 mi
d
6 mi
12 mi


d =
miles

Answers

Finn would run 18 miles after 6 track practices.

We have,

Generally, A unit rate is a ratio of two measurements with a denominator of 1. To find the number of miles Finn would run after 6 track practices, we can use the unit rate of miles per practice to multiply by the number of practices.

Unit rate: 6 miles / 2 practices = 3 miles per practice

To find the total number of miles Finn would run after 6 practices, we can multiply the unit rate of 3 miles per practice by the number of practices, 6.

Total miles: 3 miles/practice * 6 practices = 18 miles

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Consider the equation.
y=4x -3


Which graph shows a line that is perpendicular to the line defined by the given equation?

Consider the equation.y=4x -3Which graph shows a line that is perpendicular to the line defined by the

Answers

The graph that represents the line that is perpendicular to y = 4x - 3, is: C. Graph C.

What is the Slope of Perpendicular Lines?

If two lines are perpendicular to each other, then, their slopes would be negative reciprocals.

Considering the equation, y = 4x - 3, the slope is 4.

Negative reciprocal of 4 is -1/4. The slope of the line that is perpendicular to y = 4x - 3 would be -1/4.

Slope of the line in graph C = change in y / change in x = -1/4

Therefore, the graph that shows a line that is perpendicular to y = 4x - 3 is: Graph C.

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Answer: C; Two non-vertical lines are perpendicular lines when the product of their slopes is -1. So for this example, since the slope is 4, the slope for the perpendicular line would be -1/4. So the slope to a perpendicular line from a vertical line would be its negative reciprocal. Hope that helps!

Makesha lost 58.5 pounds in 18 weeks. Find her rate of loss in pounds per week.

Answers

3.25 pounds per week

What kind of triangle is shown
Please help me my minds not working today

What kind of triangle is shown Please help me my minds not working today

Answers

Answer: acute equilateral

Step-by-step explanation:

It’s an Acute equilateral

Chicken costs c dollars per pound. Write an expression for the price of 3/4 pound of chicken.

Answers

Answer:   \(\frac{3}{4}\)c

Step-by-step explanation:

       If one pound of chicken costs c dollars, and we are writing an expression for 3/4 a pound of chicken, our expression will be the price (c) multiplied by how much chicken there is (3/4):

               3/4c

EXPRESSION

- In mathematics, an expression is a combination of numbers, variables (represented by letters), symbols, and operators, arranged in a way that represents some meaningful mathematical relationship or calculation.

- Expressions can be simple, like 3x or 4 + 5, or complex, like (3x + 4y) / (2x - 5y). Expressions are not equations or inequalities, as they do not contain an equal sign, but they can be used to build equations or inequalities.

Solving the Question:

The price of 1 pound of chicken is c dollars. To find the price of 3/4 pound of chicken, we can multiply the price of 1 pound by 3/4:

\(\begin{aligned}\sf Price\: of\: \dfrac{3}{4}\: pound\: of\: chicken& =\sf \dfrac{3}{4} \times c \\&=\boxed{\bold{\:\dfrac{3}{4}c\:}}\end{aligned}\)

Therefore, the expression for the price of 3/4 pound of chicken is 3/4c.

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(5 x 7) + (n x 4) = 5 x (7+ 4) write each missing number

Answers

The missing number in the expression (5 x 7) + (n x 4) = 5 x (7+ 4) is 5.

What are GCF and distributive property?

The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.

We also know that distributive property states a(b + c) = ab + ac.

Given, An expression (5 × 7) + (n × 4) = 5 × (7 + 4).

Now, If we expand the RHS we have,

5×(7 + 4).

= (5 × 7) + (5 × 4).

Now, Writing the obtained RHS with LHS we have,

(5 × 7) + (n × 4) =  (5 × 7) + (5 × 4).

So, The missing number is 5.

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In December, the amount of snowfall was 3 2/3 feet. In January, the amount of snowfall was 4 1/8 feet. What was the amount of snowfall in the two months combined? Write your answer as a mixed number in simplest form.

Answers

Answer:

7 19/24

Step-by-step explanation:

Add. That is your answer.

You have just been approved for a 30 year 5.5% fixed home mortgage. The monthly payment that you qualify for is $879.32. Use the table provided to determine the price of a home that can be purchased. A 5-column table with 4 rows titled Monthly Payments per 1000 dollars of mortgage. Column 1 is labeled Interest Rate (percent) with entries 5, 5.5, 6, 6.5. Column 2 is labeled 10 Years with entries 10.61, 10.86, 11.11, 11.36. Column 3 is labeled 20 years with entries 6.60, 6.88, 7.17, 7.46. Column 4 is labeled 30 years with entries 5.37, 5.68, 6.00, 6.33. Column 5 is labeled 40 years with entries 4.83, 5.16, 5.51, 5.86. a. $154,267 c. $156,753 b. $154,810 d. $157,153

Answers

Answer:

  b.  $154,810

Step-by-step explanation:

You want to know the price of a home that can be purchased for a monthly payment of $879.32 on a 30-year loan at 5.5%.

Table

The given table tells you the multiplier m used to find the monthly payment p from the loan amount P for different time periods and interest rates.

  p = (P/1000)×m

Application

The table value for a 30-year loan at 5.5% is m = 5.68. Solving the equation for P, we have ...

  1000p/m = P

  1000(879.32/5.68) = P ≈ 154,809.86 ≈ 154810

You qualify for a loan of $154,810.

__

Additional comment

The multiplier 5.68 is found on row 2 (5.5%) of column 4 (30 years).

By answering the presented question, we may conclude that As a result, equation the answer is (b) $154,810.

What is equation?

A mathematical equation is a formula that connects two statements and denotes equivalence with the equals symbol (=). An equation is a mathematical statement that shows the equality of two mathematical expressions in algebra. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the connection between the two sentences that occur on opposite sides of a letter. The symbol and the single variable are frequently the same. As in 2x - 4 Equals 2, for instance.

To establish the purchase price of a property, we must use the monthly payment and the table supplied to determine the mortgage amount that corresponds to the monthly payment.

According to the data, the monthly payment per $1000 of mortgage for a 30-year fixed mortgage at a 5.5% interest rate is $5.68.

Hence, to calculate the mortgage amount for a $879.32 monthly payment, we may apply the following formula:

Mortgage amount = monthly payment / mortgage payment per $1000

$879.32 mortgage amount / $5.68 per $1000

Loan amount = $154,810

As a result, the purchasing price of a house is $154,810.

As a result, the answer is (b) $154,810.

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There are 6 dogs for every 8 cats at a pet store. What is the ratio of the number of dogs to the total number of cats and dogs?​

There are 6 dogs for every 8 cats at a pet store. What is the ratio of the number of dogs to the total

Answers

Answer:

6 to 14

Explanation:

Answer:

B.

Step-by-step explanation:

Approved!

7 students are running for student council. how many different ways can their names be listed on the ballot

Answers

Step-by-step explanation:

7! = 5040 ways

Anu was checking her emails she casually told her friend siting next to her the ratio of unread emails in my inbox is 4:1 The total number of emails is 120 what is the number of unread emails in her inbox

Answers

In a case whereby Anu was checking her emails and she casually told her friend siting next to her the ratio of unread emails in my inbox is ratio 4:1 where the total number of emails is 120  then the number of unread emails in her inbox is 96mails.

How can the unread mails be calculated?

The concept that will be used here is ratio. An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

The total mails in her box is 120

The we can represent the unread mails  as 4x and read mails be 1x

This can be expressed as :

(4x+1x)=120mails

5x=120mails

x=120/5

x=24

This implies that the uread mails(4×24)

=96mails

Then the number of the read mail =(1×24)=24mails

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Calculate the product
20 (-15)


Answers

Answer:

Step-by-step explanation:

Product means multiply.

-300

Use the square root property of equality to solve
(x - 3)2 = -4.
The solutions are

Answers

Answer: 3 +\- 2i

Step-by-step explanation:

Just took the assignment

Answer:

c. 3 +\- 2i

Step-by-step explanation:

edge 2020

Tanya performs two transformations on ABC to form A"B" and C" as shown on the coordinate grid below.

Answers

the transformation ABC is not similar to A”B”C”. hence the statement is false.

How do we know?

We say the statement is false because the ratios of the grid squares are not similar.

We notice that the first triangle is up to over 3 and the other triangle is up 4 over 4 so in order for them to be similar the first triangle would have to be up 3 over 3.

A transformation is described as  a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

#complete question:

Please help this is due today and I’m so stressed!I will mark Branliest!!!

Tanya performs two transformations on ABC to form A"B"C" as shown on the coordinate grid below.

True or False:ABC is similar to A”B”C”?

Tanya performs two transformations on ABC to form A"B" and C" as shown on the coordinate grid below.

What is the value of x in the equation (x + 12) = (x + 14) – 3?​

Answers

x = 15

(15 + 12) = (15 + 14) - 3

27 = 29 - 3 (true)

Please Help Marked for all my points and will Brainliest


Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.
π,√6,2√6,√7
(a) Without using your calculator, approximate the decimal equivalent of each number to the nearest tenth.
(B) Order the ribbon sizes from least to greatest.

Answers

The requreid,
(a) Approximate values of the given numbers are π ≈ 3.1, √6 ≈ 2.4, 2√6 ≈ 4.8, and √7 ≈ 2.6.
(b) √6  < √7 <  π  < 2√6

(a)

π ≈ 3.1 (since π is between 3 and 4, and is closer to 3.1 than to 3.2)

√6 ≈ 2.4 (since 6 is between 4 and 9, and the square root of 6 is closer to 2.4 than to 2.5)

2√6 ≈ 4.8 (since 2√6 is approximately twice the value of √6, which is 2.4)

√7 ≈ 2.6 (since 7 is between 4 and 9, and the square root of 7 is closer to 2.6 than to 2.7)

(b)

Order from least to greatest:

√6  < √7 <  π  < 2√6

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