Does-4y-3=1/3(12y-9)-8y
Blank 1 options
(Blank 1)
have one solution, no solution, or infinitely many solutions?

Answers

Answer 1

Answer:

infinite solution

Step-by-step explanation:

Since 0 = 0 for any value of y, the system of equations has infinite solutions.


Related Questions

Need help quick look at photo

Answers

Answer: the slope is unidentified

Step-by-step explanation:

A. Your bed is a rectangle that is 4 feet by 6 feet wide. Draw a model of it below and label the dimensions. Find the perimeter and area of the bed. B. Dad reminds you that you keep you suitcase, a box of legos, your memory box, and your stash of snacks underneath your bed. They are all rectangle. The suitcase has a perimeter of 14 feet. The Lego box has a perimeter of 10 feet. The stash has a perimeter of 10 feet. The stash has a perimeter of 6 feet. C. Find the area and dimensions of each item under your bed

Answers

The model which model the dimensions of the bed has been attached.

The perimeter and area of the bed is 10 feet and 24 square feet respectively.The perimeter of your bed is less than the perimeter of the items, so not all items can be underneath your bed.

What is the perimeter and area of the bed?

Length of the rectangle = 6 feetWidth of the rectangle = 4 feet

Perimeter of the bed = 2(length + width)

= 2(6 + 4)

= 2(10)

= 20 feet

Area of the bed = Length × width

= 6 feet × 4 feet

= 24 square feet

Perimeter of the suitcase = 14 feetPerimeter of Lego box = 10 feetPerimeter of memory box = 10 feetPerimeter of stash = 6 feet

Total perimeter = 14 + 10 + 10 + 6

= 40 feet

Therefore, the items listed can not all be underneath your bed because the total perimeter of the items is greater than the perimeter of your bed.

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What is the correct way to write 0.0000250 m in scientific notation? 2.50 times. 10â€""5 m 2.5 times. 10â€""5 m 2.50 times. 10â€""4 m 2.5 times. 10â€""4 m

Answers

The correct way to write 0.0000250 m in scientific notation is 2.5 · 10⁻⁵ m.

What is scientific notation?

Scientific notation is a convenient way to write numbers that are very large or very small. A number written in scientific notation consists of a number greater than or equal to 1 but less than 10 multiplied by a power of 10. Here are some examples of numbers written in scientific notation:

1.23 × 10⁻⁴9.9 · 10¹⁰⁰5 · 10²

Since you're given a number less than 1, move the decimal point to the right until you have a number between 1 and 10. Then, count the number of times you moved the decimal and write that as negative exponent over a base of 10. Finally, write out number multiplied by the power. You'll get 2.5 · 10⁻⁵ if you do those things correctly.

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Answer:

A. 2.50 Times. 10–5 m

Step-by-step explanation:

other one is wrong

a school has 400 grade 9's, 375 grade 10's, 300 grade 11's and 325 grade 12's. twenty students from each grade are surveyed

Answers

The type of bias that can be present in stratified sampling is that the students cannot be selected to accurately reflect the population.

How are samples classified?

Samples may be classified according to the five options as follows:

A convenient sample is drawn from a conveniently available pool of options.A random sample is equivalent to placing all options into a hat and taking some of them.In a systematic sample, every kth element of the sample is taken.Cluster sampling divides population into groups, called clusters, and each element of the group is surveyed.Stratified sampling also divides the population into groups. However, an equal proportion of each group is surveyed.

In this problem, an equal amount of students from each class was surveyed, hence a stratified sample was used.

The type of bias present in stratified sampling is that the students cannot be selected to accurately reflect the population.

Missing Information

The problem asks for which type of bias is present in this sample.

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X=3/5
Y=1/3
z=2 4/5
work out Z + X x Y

Answers

The value of the summation will be equal to 3.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that X=3/5, Y=1/3, and z=2⁴/₅.

The value of the Z+ ( X x Y ) will be calculated as,

E = Z + ( X x Y )

E = 2⁴/₅ + ( 3 / 5 ) x ( 1 / 3 )

E = 14 / 5 + 1 / 5

E = 15 / 5

E = 3

Therefore, the value of the summation will be equal to 3.

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please answer this "3y=2x

Answers

Answer:

y=2/3x

Or

X=3/2y

Step-by-step explanation:

3y=2x

/3. /3

y=2/3x

3y=2x

/2. /2

3/2y=x

Hopes this helps please mark brainliest

Answer:

x=3/2y

y=2/3x

Step-by-step explanation:

for x - first screen shot

for y - second screen shot

Hope that helps!

Given in a plane the points A(-1,4),B(2,3),C(4,5),D(m,7)
Calculate m knowing that AB // CD

helppppp step by step

Answers

Answer:

m = -2

Step-by-step explanation:

slope of AB

(4-3)/(-1-2)= 1/-3 = -1/3


parallel lines have the same slope

slope of CD = -1/3

we can now find the line that passes through the point C

y-5= -1/3(x-4)

y = -1/3 x +4/3 +5

y = -1/3 x + (4+15)/3

y = -1/3 x + 19/3


this line must passes also through the point D

we know its y, so:


7 = -1/3 x + 19/3


(7 * 3) = (-1/3 x + 19/3) * 3

21 = - x + 19

x = 19 - 21

x = -2

Rachel used 12 centimeters of tape to wrap 3 presents. How many presents did Rachel wrap if she used 20 centimeters of tape?

Answers

The number of wrapped present with 20 centimeters of tape is given as 5 presents.

How to solve for the wrapped presents

In this question, we have the following values

12 centimeters of tape was used to wrap 3 presents

hence we would have

12 = 3 presents - - - - 1

Then we are to know the presents that would be wrapped with the use of 20 centimeters of tape.

we would have

20 = ? presents - - - 2

We have to bring the equations together

12 = 3 presents

20 = ? presents

? is the presents that is to be wrapped with 20 centimeters of tape. It is our unknown.

We would have to cross multiply

12 x ? = 3 x 20

12? = 60

We would have to divide through by 12 in order to get the unknown

? = 60 / 12

? = 5

Hence the number of presents that she wrapped is given as 5

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Convert 37/2 to a mixed fraction

Answers

The answer is 18 1/2
It’s 18 1/2

I hope it helps

a veterinarian visits a cat shelter housing 432 cats. of 42 randomly selected cats that she studies, she finds that 14 cats suffer from separation anxiety. of those, 10 cats were orphaned as kittens. what proportion of cats in the sample suffer from separation anxiety? round your answer to the nearest percent. responses 3% 3% 24% 24% 33% 33% 71%

Answers

The proportion of cats in the sample suffers from separation anxiety is 33%

Given 432 cats, a sample of 42 cats is taken.

Out of these 42, cats 14 are suffering from separation anxiety.

The proportion of cats suffering from separation anxiety is: 14/42

The percentage of Cats suffering from separation anxiety is:[tex]\frac{14}{42}*100[/tex]%

This is equal to 33%, rounding off to the nearest percentage value.

Therefore, The proportion of cats in the sample who suffers from separation anxiety is 33%.

The sample proportion (p^hat) describes the proportion of people in a sample who have a particular attribute or trait. Divide the number of persons (or items) who have the characteristic of interest by the total number of people (or items) in the sample to get the sample proportion.

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The proportion of cats in the sample suffers from separation anxiety is 33%

Given 432 cats, a sample of 42 cats is taken.

Out of these 42, cats 14 are suffering from separation anxiety.

The proportion of cats suffering from separation anxiety is: 14/42

The percentage of Cats suffering from separation anxiety is:(14/42)*100%

This is equal to 33%, rounding off to the nearest percentage value.

Therefore, The proportion of cats in the sample who suffers from separation anxiety is 33%.

The sample proportion (p^hat) describes the proportion of people in a sample who have a particular attribute or trait. Divide the number of persons (or items) who have the characteristic of interest by the total number of people (or items) in the sample to get the sample proportion.

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Each of PQ and RS represents a 2-digit number. Different letter represent different digits, chosen from 6, 7, 8 and 9. What is the greatest product that PQx RS can have?

Answers

The greatest product that PQ x RS can have: 96 * 87 = 8352

In this question, we have been given PQ and RS represents a 2-digit numbers. Different letter represent different digits, chosen from 6, 7, 8 and 9

We need to find the greatest product that PQ x RS can have.

Consider P = 9, Q = 6, R = 8 and S = 7

So the two digit numbers would be,

PQ = 96 and RS = 87

PQ x RS

= 96 * 87

= 8352

Therefore, the greatest product that PQ x RS can have: 96 * 87 = 8352

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brian borrowed a 20-foot extension ladder to use to paint his house. If he sets the base of the ladder six feet from the house how far up will the top of the ladder reach?

Answers

The ladder Brian borrowed for painting should go 19.08 feet up the house if Brian sets the base 6 feet from the house

How to find the distance up the house the ladder will go

information given in the question

hypotenuse = 20-foot ladder

adjacent = 6 feet from the house

opposite =  how far up the house = ?

The problem is solved using the Pythagoras theorem is applicable to right angle triangle.  the formula of the theorem is

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let x be the required distance

20² = 6² + x²

400 = 36 + x²

400 - 36 = x²

x² = 364

x = √364

x = 19.08

The ladder Brain borrowed will go 19 feet high

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If 2,000 mL can fit in a certain glass jar, how many liters can fit in 4.5 of these jars?

Answers

Answer: 9,000 mL

Step-by-step explanation:

If you multiply 2,000 by 4, you would get 8,000 & if you multiply .5 by 2,000, you get 1,000. If you add both the totals, you would end up with a final answer of 9,000 mL.

///ANSWER: 9,000 ML

Pls help ASAP the question is in the picture

Answers

1. X^2= 16
X=4

2. Square root of 169 = 13
13+ 4 = 17
17-4=13^2= 169
X=17

3. 0+225= 225
Square root of 225= 15
15/4= 3.75
X=3.75

Solve for X:
1/2x + 1/3x = 10

Answers

Answer:

Step-by-step explanation:

weknr f not sure

Answer:

12

Step-by-step explanation:

1/2x+1/3x=10

We simplify by making common denominator and adding them (if you don’t know how to do that please tell me)

3/6x+2/6x=10

5/6x=10

Now divide 5/6 on both sides

5/6x=10

/5/6. /5/6

x=10*6/5

x=60/5

x=12

Hopes this helps please mark brainliest

An order of brown rice and quinoa weighs 17 pounds and costs $54.
Brown rice: $2.00 per pound
Quinoa: $4.50 per pound
How many pounds of brown rice and quinoa are in this order?

Answers

8 ounce of brown rice and 9 ounce quinoa sold.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Brown rice: $2.00 per pound

Quinoa: $4.50 per pound

let the brown rice sold x ounces

and, let the Quinoa sold be y ounces

So, the equations are:

x + y= 17

2x+ 4.5y= 54

2( 17- y) + 4.5y= 54

34 - 2y + 4.5y= 54

2.5y= 20

y= 20/2.5

y= 8 ounce

and, x= 17-8= 9 ounce

Hence, 8 ounce of brown rice and 9 ounce quinoa sold.

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HELP MEEEE PLEASEEEE

Answers

Answer:

24.4 km

Step-by-step explanation:

The Pythagorean theorem states that a^2 + b^2 = c^2, where c is the hypotenuse of the triangle, and a and b are the legs. Plugging in your values, we get:

20^2 + 14^2 = c^2

Simplify: 400 + 196 = c^2

Simplify again: 596 = c^2

Square root both sides to cancel out the exponent on the right: 24.4131=c

Round: 24.4

8 coins are simultaneously flipped. what is the probability that heads are showing on at most 2 of them?

Answers

The probability of favorable  outcomes  P(E) = 37/256

         

What is probability in math?

Probability refers to potential. The subject of this area of mathematics is the occurrence of random events.The range of the value is 0 to 1. To forecast how likely events are to occur, probability has been introduced in mathematics.

Given,

      8 coins are faced simultaneously .

total outcomes = 2 * 2 * 2* 2 * 2 * 2 * 2 * 2

                             = 2⁸

                             = 256

favorable outcomes = 6 heads + 7 heads + 8 heads

                      = ⁸C₆ + ⁸C₇  + ⁸C₈

                       = 28 + 8 + 1   = 37

the probability of favorable  outcomes =            

              P(E) = 37/256

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What is the image of (5,8) after the reflection over the line y=-x?

Answers

The image of (5, 8) after a reflection over the line y = - x is (-5, -8 ).

To see the graph.

Given,

In the question:

What is the image of (5,8) after the reflection over the line y= -x?

Now, According to the question:

The image of (-5,8) after a reflection over the y-axis

When a point is reflected over y axis, then the value of x changes to -x.

the value of y remains the same.

But, It is given that  the reflection over the line y= -x

Hence, The image of (5, 8) after a reflection over the line y = - x is

(-5, -8 ).

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Complete the table. Round percent change to the nearest tenth of a percent.

Answers

Please find attached the completed table of the percentage changes on the amounts drawn with MS Word.

What is the percentage change on an amount?

The percentage change on an amount is found by finding ratio of the change in the amount to the original amount then multiplying the obtained ratio by 100.

The percentage change formula is presented as follows;

[tex]\%C = \dfrac{x_2-x_1}{x_1} \times 100[/tex]

Where;

%C = The percentage changex₂ = The new amountx₁ = the initial amount

Making each of the variables the subject, indicates;

The new amount, [tex]x_2 = \dfrac{\%C \times x_1}{100} + x_1[/tex]

[tex]\%C \times x_1+100\cdot x_1 = 100\cdot x_2[/tex]

[tex]x_1\cdot (\%C+100) = 100\cdot x_2[/tex]

The original amount, [tex]x_1 = \dfrac{100\cdot x_2}{(\%C+100)}[/tex]

The percentage change, [tex]\%C = \dfrac{c}{x_1} \times 100[/tex]

The original amount, [tex]x_1 = \dfrac{c}{\%C} \times 100[/tex]

Using the above formulas, the completed table is created with MS Excel and is presented as follows;

Original amount  Change  Percent Change   New Amount

68 [tex]{}[/tex]                        15            22.1                        83

590 [tex]{}[/tex]                    -40          -6.8                         550

115 [tex]{}[/tex]                       20           17.4                         135

120[tex]{}[/tex]                      -33           -27.5                       87

125[tex]{}[/tex]                     -39           -31.2                        86

163   [tex]{}[/tex]                   47             28.8                       210

274[tex]{}[/tex]                     145.22       17.4                        419.22

70 [tex]{}[/tex]                      -15.4         -27.5                       54.6

1400[tex]{}[/tex]                  -1050         22.1                        350

1250[tex]{}[/tex]                  -25            -2.0                         1225

0.24[tex]{}[/tex]                    0.3            125.0                      0.54

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i have an algebra 2 question asking about this: is there any pair of numbers that multiply to 36 and add up to -7? the factors of 36 are (1, 36) (2, 18) (3, 12) (4, 9) (6, 6)

Answers

There are no pair of numbers that multiply to 36 and add up to -7

How to find the factors of 36?

The factors of number refers to any of various numbers multiplied together to form some whole. For instance, 3 is a factor of 12, as are 2, 4 and 6.

36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36.

The pairs of factors of 36 that multiply to 36 are:

(1, 36) (2, 18) (3, 12) (4, 9) (6, 6)

From the pair of numbers above, none add up to -7

Therefore, there is no pair of numbers whose product is 36 and sum is -7

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The price of a movie ticket at the theater is $7 for students.

The price is higher for adults.

A group of 4 students and 3 adults paid $64 in all for movie tickets.

How much does each adult ticket cost?

Each adult tickets costs

Answers

The cost of each adult ticket for watching movie at the theatre equals to $12.

How do we derive the cost of each adult ticket?

Given data:

Student ticket price = $7

Group of 4 students and 3 adults paid $64 in all for movie tickets.

The computation of each of the adult ticket cost is as follows:

Let x be the cost of each adult ticket.

Then, cost of 3 adult tickets = 3x.

Now:

The cost of 1 student ticket = $7

The cost of 4 student ticket = $7(4)

Then, we get the following equation:

7(4) + 3x = 64

18 + 3x = 64

3x = 64 - 18

3x = 36

x = 12

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Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3

Answers

The quadratic equation 8x² + 16x + 3 = 0 can be solved by using the quadratic formula.

The given quadratic equation is : 8x² + 16x + 3 = 0

Comparing this equation with  ax² + bx + c = 0 we get :

a = 8 , b = 16 and c = 3

Now we will use the quadratic formula:

[tex]{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}}[/tex]

Now we will substitute the values in this formula to find the values of x that satisfy the quadratic equation.

[tex]{\displaystyle x={\frac {-16\pm {\sqrt {16^{2}-4\times8\times3}}}{2\times8}}}\\\\{\displaystyle x={\frac {-16\pm {\sqrt {160}}}{16}}}\\\\[/tex]

The values for x that satisfy the equation are the roots or zeros of both expressions on the left-hand side of the equation. In a quadratic problem, there can only be two possible solutions.

A problem is said to have a double root if there is only one solution. One real double root, two complex solutions that appear to be complex conjugates of one another, two real solutions, or two real solutions if all the coefficients have real values are the only options.

Hence the values of x are : [tex]-\frac{4-\sqrt{10}}{4}[/tex] and [tex]-\frac{4+\sqrt{10}}{4}[/tex].

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Solve the inequality 2m - 125 or 5m> -25.

Answers

Answer:

m = -5

Step-by-step explanation:

I'm not sure of the first part, but this is how to solve the second:

5m > -25

5m/5 > -25/5

m = -5

c) √6 x √6 x√6 can someone help​

Answers

Answer:

14.7

Step-by-step explanation:

Answer:

6[tex]\sqrt{6}[/tex]

or

≈14.7

Step-by-step explanation:

√6 x √6 x√6 can someone help​

√6 x √6 x√6 =

6[tex]\sqrt{6}[/tex]

or

≈14.7

Suzanne's average daily balance for last month was x dollars. The finance
charge was y dollars.
a. What was the monthly percentage rate?
b. What was the APR?

Answers

Part a: Monthly percent rate = y/x

Part b:  APR = y/x × 12.

What is meant by the term APR?The annual interest produced by a sum that is paid to investors or charged to borrowers is referred to as the annual percentage rate (APR). APR is a percentage that expresses the actual annual cost of borrowing money over the course of a loan or the income from an investment. An APR might not accurately represent the cost of borrowing but since lenders have some latitude in determining it, excluding some fees.APR and APY (annual percentage yield), a computation that takes interest compounding into account, should not be confused.

For the given question;

Average daily balance sheet of Suzanne's is  x dollars.

Finance charges = y

Part a: monthly percentage rate

Finance charge = Monthly percent rate × Average daily balance

Monthly percent rate = Finance charge/Average daily balance

Monthly percent rate = y/x

Part b: APR

The annual percentage rate (APR) is calculated by dividing the periodic interest rate even by number of periods in the year that it was in effect. The number of times the rate is applied to a balance is not stated.

Thus,

For 12 months.

APR = y/x × 12

Thus, the value of APR for the period of 12 months is APR = y/x × 12 .

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PLS HELP ME ANSWER THIS QUESTIONNAIRE

Answers

The correct value of the simplified expressions found using the laws of indices gives;

d. [tex]\sqrt[4]{4}[/tex]a. [tex]\sqrt{\frac{5}{6} }[/tex]d. 3a. [tex]x\cdot \sqrt{y}[/tex]b. x²·yb. 1a. 1/315·x²·y⁴e. 6·x³·y⁵c. [tex]\frac{5}{9}[/tex]What are the laws of indices?

The laws of indices state rules that enable the simplification of the combination of expressions of numbers and variables that are given in index form or involve powers of other numbers or variables

1. [tex]3^{\frac{1}{4} } = \sqrt[4]{4}[/tex]

The radical sign is used for expressing fractional indices.

The correct option is d. [tex]\sqrt[4]{4}[/tex]

2. The radical is in its simplest form when it cannot be further simplified, which gives the radical in its simplest form as option a. [tex]\sqrt{\dfrac{5}{6} }[/tex]

3. The index of a number is the number to which the variable or number is raised

The index of x³ in [tex]\sqrt{x^3}[/tex] is d. 3

4. The given expression has y raised to the power of [tex]\frac{1}{2}[/tex], which gives;

[tex]x\cdot y^\frac{1}{2} = x\cdot \sqrt{y}[/tex]

The correct option is a. [tex]x\cdot \sqrt{y}[/tex]

5. The common index of the expression within the parenthesis is [tex]\frac{1}{2}[/tex], which gives;

[tex](x^4\cdot y^2)^\frac{1}{2} = (x^{4\times \frac{1}{2} }\cdot y^{2 \times \frac{1}{2} })=x^2\cdot y[/tex]

The correct option is b. x²·y

6. The value of all numbers raised the power of zero is 1, therefore;

[tex](2^{1/3}\cdot 3^{1/4})^0\cdot (2^{1/5}\cdot 3)^0 = 1 \times 1=1[/tex]

The correct option is b. 1

7. The given expression can be simplified as follows;

[tex]\sqrt[5]{\dfrac{1}{243} } = \sqrt[5]{\dfrac{1}{3^5} } = \sqrt[5]{\left(\dfrac{1}{3} \right)^5} = \dfrac{1}{3}[/tex]

The correct option is therefore; a. 1/3

8. The given expression [tex]\sqrt{225\cdot x^4\cdot y^8} = \sqrt{15^2\cdot x^4\cdot y^8} = 15\cdot x^2\cdot y^4[/tex]

The correct option is [tex]15\cdot x^2\cdot y^4[/tex]

9. The given expression is [tex]\sqrt[3]{216\cdot x^9\cdot y^{15}}[/tex]

[tex]\sqrt[3]{216\cdot x^9\cdot y^{15}} = \sqrt[3]{6^3\cdot x^9\cdot y^{15}} = 6\cdot x^3\cdot y^5[/tex]

The correct option is e. [tex]6\cdot x^3\cdot y^5[/tex]

10. [tex]\sqrt{\dfrac{50}{162} } = \sqrt{\dfrac{25\times 2}{81\times 2} } = \sqrt{\dfrac{25}{81} } = \dfrac{5}{9}[/tex]

The correct option is c. [tex]\frac{5}{9}[/tex]

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The points (2, -4), (x, y), A, and B all lie on the line.
Find an equation relating x and y. (Lesson 2-11)

Answers

An equation relating x and y is given by y = 3x/4 - 11/2.

How to calculate the slope of a line?

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

For the slope of this line using point AB, we have:

Slope of AB = (2 - (-1))/10 - 6)

Slope of AB = (2 + 1)/4

Slope of AB = 3/4

Since point AB and points (2, -4), (x, y) all lie on the same straight line, they would all of the same slope. Therefore, an equation relating x and y can be calculated as follows:

3/4 = (y + 4)/(x - 2)

3(x - 2) = 4(y + 4)

3x - 6 = 4y + 16

4y = 3x - 6 - 16

4y = 3x - 22

y = 3x/4 - 22/4

y = 3x/4 - 11/2

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Complete the function table. Function: p = 1⁄2w + 5

Answers

W P
0 5
2 6
4 7
6 8

Substitute each w value in the spot and solve the equation.

decide whether inductive reasoning or deductive reasoning is used to reach the conclusion: "what goes up must come down. the ball went up. it will come down."

Answers

The statement ""what goes up must come down. the ball went up. it will come down." can be reached through a deductive reasoning.

What is a deductive reasoning?

The mental process of forming deductive deductions is known as deductive reasoning. An inference is deductively valid if its conclusion follows logically from its premises, i.e. if the premises cannot be true while the conclusion is false.

The primary distinction between inductive and deductive thinking is that inductive reasoning seeks to develop a hypothesis, whereas deductive reasoning seeks to test an existing theory. Inductive thinking proceeds from individual observations to broad generalizations, whereas deductive reasoning proceeds in the other direction.

In conclusion, the correct option based on the information is a deductive reasoning.

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