Find the equation of the line that
is perpendicular to y = –
-x and
contains the point (4,-8).
y=
x + [ ]

Find The Equation Of The Line Thatis Perpendicular To Y = -x Andcontains The Point (4,-8).y=x + [ ]

Answers

Answer 1

Answer:

y = 3x/2-14

Step-by-step explanation:

We are given that the line is perpendicular to y = -2/3 and contains (4,-8).

Perpendicular Def.

\( \displaystyle \large{m_1m_2 = - 1}\)

Both slopes multiply each others equal to -1.

Finding another slope that is perpendicular to -2/3, substitite m1 = -2/3 in.

\( \displaystyle \large{ - \frac{2}{3} m_2 = - 1}\)

Multiply both sides by 3.

\( \displaystyle \large{ - \frac{2}{3} m_2( 3) = - 1(3)} \\ \displaystyle \large{ - 2 m_2= - 3} \\ \displaystyle \large{ m_2= \frac{3}{2} }\)

Therefore, another slope that is perpendicular to -2/3 is 3/2.

Then rewrite in slope-intercept form.

Slope-Intercept

\( \displaystyle \large{y = mx + b}\)

where m = slope and b = y-intercept; substitute m = 3/2 in.

\( \displaystyle \large{y = \frac{3}{2} x + b}\)

Since the line contains (4,-8), substitute x = 4 and y = -8 in and solve for b.

\( \displaystyle \large{ - 8 = \frac{3}{2} (4) + b} \\ \displaystyle \large{ - 8 = 3(2)+ b} \\ \displaystyle \large{ - 8 = 6 + b} \\ \displaystyle \large{ - 8 - 6 = b} \\ \displaystyle \large{ - 14 = b}\)

Therefore, b is -14; rewrite again in slope-intercept form.

Thus:-

\( \displaystyle \large{y = \frac{3}{2} x + b} \\ \displaystyle \large{y = \frac{3}{2} x - 14}\)


Related Questions

the only calculated fields you can create in access are those involving addition and subtraction. True or false?

Answers

Answer:

false

Step-by-step explanation:

False.

Access supports a wide range of built-in functions and operators that can be used to create calculated fields. These functions and operators include mathematical functions (such as multiplication, division, exponentiation), string functions (such as concatenation, trimming, and formatting), date and time functions, aggregate functions (such as sum, average, count), and more.

In addition, Access also allows you to create user-defined functions using VBA (Visual Basic for Applications), which can be used to perform custom calculations on your data.

Therefore, the statement "the only calculated fields you can create in Access are those involving addition and subtraction" is false.

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need help asap pls would be awsome

need help asap pls would be awsome

Answers

Answer:

1742

Step-by-step explanation:

\(\frac{6968-4355}{4-2.5}=1742\)

HELP ASAP IM GUNA FAIL!!!

HELP ASAP IM GUNA FAIL!!!

Answers

Answer: -14

Step-by-step explanation: Use the given functions to set up and simplify g(−2)

Evaluate

-3•4-2

Multiply

-12-2

Add

Answer -14

May I get Brainly

statistical power is a measure of the ability to reject the null hypothesis when:

Answers

Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.

A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.

Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.

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Mr. Andrew bought 15 boxes of crayons at the store to share with his students. Each box contains 64 crayons. Write an equation that represents ​c​, the total number of crayons that Mr. Andrew bought. Use your equation to solve for the total number of crayons.

Answers

Answer: 960 crayons

Step-by-step explanation:

From the question, we are informed that Mr Andrew bought 15 boxes of crayons at the store to share with his students and that each box contains 64 crayons.

The equation that represents ​c​, the total number of crayons that Mr. Andrew bought will be:

C = 15 × 64

= 960 crayons

Consider the graph of the linear equation 2x - 5y = 10.

Answers

Answer:

The slope is \(\frac{2}{5}\)

the y-intercept (0,-2)

the graph points is (5,2)

Step-by-step explanation:

At Skyler airport 30% of the scheduled flights are delayed if 240 flights are delayed how many scheduled flights does Skyler airport have

Answers

We can use proportions for this. We have the fraction 240/x = 30/100. We need to find x. We can do that by cross multiplying. 240*100 is 24,000 and x*30 is 30x. We now need to divide 30 from 30x and 24,000. This gives us 800. Therefore, Skyler has 800 scheduled flights.

Write a formula that expresses the radius of the circle, r (in cm), in terms of the number of seconds, t , since the circle started shrinking.

Answers

The formula expressing the radius of the circle, r (in cm), in terms of the number of seconds, t, since the circle started shrinking is r = r₀ - kt, where r₀ is the initial radius and k is the rate at which the circle is shrinking.

The formula r = r₀ - kt represents the relationship between the radius of the circle and the time elapsed since it started shrinking. Here's an explanation of the variables:

r represents the radius of the circle at any given time t.r₀ represents the initial radius of the circle when it started shrinking .k represents the rate at which the circle is shrinking, indicating how much the radius decreases per unit of time.t represents the number of seconds that have elapsed since the circle started shrinking.

By subtracting kt from the initial radius r₀, we can determine the current radius of the circle at any given time t. The term kt represents the amount by which the radius decreases over time, based on the rate of shrinkage defined by the value of k.

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The questions are in the picture. please answer showing work

The questions are in the picture. please answer showing work

Answers

Answer:

what class is this?

Step-by-step explanation:

determine whether the relation r on the set of all integers is reflexive, symmetric, antisymmetric, and/or transitive, where (x,y) in r if and only if: x = y − 1 or y = x − 1.

Answers

The relation R is symmetric and antisymmetric, but not reflexive or transitive.

Let's examine each property of the relation R separately:

Reflexive: A relation R is reflexive if every element in the set is related to itself. In this case, we have (x, x-1) or (x-1, x) for any integer x. Therefore, the relation is not reflexive since x is not related to itself.

Symmetric: A relation R is symmetric if for any pair of elements x and y in the set, (x,y) being in R implies that (y,x) is also in R. In this case, we have (x, y-1) or (y, x-1) for any integers x and y. It is clear that if (x, y-1) is in R, then (y, x-1) is also in R, and vice versa. Therefore, the relation is symmetric.

Antisymmetric: A relation R is antisymmetric if for any distinct elements x and y in the set, if (x,y) is in R, then (y,x) cannot also be in R. In this case, if we have (x, y-1) and (y, x-1), then x = y-1 and y = x-1. This implies that x = y, which contradicts our assumption that x and y are distinct. Therefore, the relation is antisymmetric.

Transitive: A relation R is transitive if for any elements x, y, and z in the set, if (x,y) and (y,z) are in R, then (x,z) is also in R. In this case, we have (x, y-1) and (y, z-1) for any integers x, y, and z. If we add these two relations, we get (x, z-2).

However, this does not satisfy the original relation, which requires that (x, z-1) be in R. Therefore, the relation is not transitive.

In summary, the relation R is symmetric and antisymmetric, but not reflexive or transitive.

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suppose you compute a confidence interval with a sample size of 82. what will happen to the confidence interval if the sample size decreases to 67?

Answers

It is important to have a sufficient sample size when computing a confidence interval to ensure accuracy and precision.

When we compute a confidence interval with a sample size of 82, the confidence interval will be more precise and narrower compared to a confidence interval computed with a smaller sample size. This is because a larger sample size provides more information and reduces the effect of random variation in the data.

However, if the sample size decreases to 67, the precision of the confidence interval will decrease and it will become wider. This is because a smaller sample size will have more random variation and may not accurately represent the population. As the sample size decreases, the confidence level also decreases, indicating that there is more uncertainty about the true population parameter.

A larger sample size will result in a more reliable estimate of the population parameter and a narrower confidence interval. Conversely, a smaller sample size will result in a less reliable estimate of the population parameter and a wider confidence interval.

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What is the area of adef with vertices d(-1,-5), e(4.-5),
and f(4,7)?

Answers

Answer:

Step-by-step explanation:

What is the area of adef with vertices d(-1,-5), e(4.-5), and f(4,7)?
What is the area of adef with vertices d(-1,-5), e(4.-5), and f(4,7)?

30 square unit is the area of the triangle DEF.

What are the properties of Triangle?

The properties of the triangle are:

The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

We can use the coordinates of the three vertices of the triangle to find the length of its base and height, and then use the formula for the area of a triangle.

The base of the triangle is the line segment from point E to point F, which has a length:

|EF| = √[(4-4)^2 + (7-(-5))^2] = √(0^2 + 12^2) = 12

The height of the triangle is the perpendicular distance from point D to the line containing the base, which is the horizontal line y = -5.

Therefore, the height of the triangle is the vertical distance from point D to the line y = -5, which is 5 units.

The area of the triangle is then:

Area = (1/2) x (base) x (height)

= (1/2) x 12 x 5

= 30 square units.

Therefore, the area of triangle DEF is 30 square units.

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Luna and her friend make sandwiches with 1/3 of a baguette. They share the baguette equally. What fraction of the whole baguette does Luna get?​

Answers

Answer:

Luna gets 1/6 of the whole baguette.

Step-by-step explanation:

If you're dividing 1/3 of a baguette with two people, you're going to have to cut it into two 1/6 pieces.

(1/2) * (1/3) = 1/6

Hope this helps!

A trainer for a professional football team keeps track of the amount of water players consume throughout practice. The trainer observes that the amount of water consumed is a linear function of the temperature on a given day. The trainer finds that when it is 90°F the players consume about 220 gallons of water, and when it is 76°F the players consume about 178 gallons of water.

Answers

Answer:

i am only looking for answers on this app

Sir Step-by-step explanation:

Each Sunday, a newspaper agency sells x copies of a certain newspaper for $4.49
per copy. The cost to the agency for each newspaper is $1.51. The agency pays a
fixed cost for storage, delivery, and so on, of $207 per Sunday. How many
newspapers need to be sold for the agency to break-even? (Round your final answer to
the nearest whole number).

Answers

4.49-1.51x=207
2.98x=207
x=207/2.98
x=69.46
If they want it rounded just to the closest whole number then the answer is 69 newspapers.

9. There are 150 fruits on a market stall.
54 are oranges and 72 are apples and the rest are pears.
What percentage of the fruit are pears?
You must show your calculations. 015)
(2 Points)

Answers

Answer:

24%

Step-by-step explanation:

150 = 54 + 72 = 126 + 24 = 150

24/100 = 24%

Ahhh...first we need to find out the percentage of the oranges+the apples. then take it away from 100%.

I did a bit of tinkering and figured out that the orange percentage is 36% of it.

(\(\frac{150}{54} =\frac{75}{27} =36%\)%)

That means that the apples are 48% and the pears are 100-(36+48)=100-84=16%

evaluate the difference quotient for the given function. simplify your answer. f(x) = −x3, f(a h) − f(a) h

Answers

The difference quotient is equal to -3a2h, which simplifies to -3a2 divided by h.  This is the slope of the line tangent to the graph of f(x) = -x3 at the point (a, -a3).

The difference quotient is a way to approximate the slope of the line tangent to the graph of a given function. To calculate the difference quotient for f(x) = -x3, we can use the formula f(a h) − f(a) h. Plugging in values for f(a) and f(a h), we get -a3 - (-(a+h)3) / h. We can simplify this expression by multiplying out the parentheses: -a3 + (a3 + 3a2h + 3ah2 + h3) / h. We can then combine like terms and cancel out the h's to get -3a2h / h, which simplifies to -3a2 / h. This is the difference quotient for f(x) = -x3 at the point (a, -a3).

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Please help! Correct answer only please!

The formula for a baseball player's slugging percentage is:

1S + 2D + 3T+ 4HR/AB

If a player has 58 singles, 24 doubles, 8 triples, and 39 home runs, with 367 At Bats.

What is the player's slugging percentage?

Please help! Correct answer only please!The formula for a baseball player's slugging percentage is:1S

Answers

The answer would be A , that’s his slugging percentage ! Hope this helps !

Determine if each root is a rational or irrational number. explain your reasoning. √ 20 3 √ 96

Answers

Both √203 and √96 are irrational numbers since the numbers inside the roots are not perfect squares.

To determine whether a root is rational or irrational, we need to know if the number inside the square root is a perfect square or not. If it is not, then the root is irrational.

For √203, we can determine that 203 is not a perfect square, since the last digit is 3, which is not a perfect square. Therefore, √203 is an irrational number.

For √96, we can simplify the expression as follows:

√96 = √(16*6) = √16 * √6 = 4√6

Since 6 is not a perfect square, 4√6 is an irrational number.

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Find an equation for the line of best fit for the table below.
xy
10 1
8 1.1
6 1.2
4 1.3
2 1.5

Answers

An equation, in slope-intercept form, for the line of best fit for the table  above is y = 0.05x + 0.7.

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

x and y represent the data points.m represent the slope.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (1.3 - 1.1)/(4 - 8)

Slope (m) = -0.2/4

Slope (m) = 0.05

At data point (8, 1.1) and a slope of 0.05, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 1.1 = 0.05(x - 8)  

y = 0.05x - 0.4 + 1.1

y = 0.05x + 0.7

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a machine produces a part for the automotive industry. 10% of the parts produced were defective in the past, and we believe that the current percentage is not higher. what is the needed sample size for estimating the current percentage of defective parts with the 95% confidence and the 2% margin of error?

Answers

The required sample size as calculated from the data given is 605.

Because we are determining the interval for a proportion in this example, using the z distribution is necessary in order to determine the critical value.

Our significance level would be determined by and as our interval has a 90% level of confidence. The crucial value would then be determined by:

This formula provides the proportion interval's margin of error,

ME = z√pq/n     - (a)

According to estimates, the faulty percentage is 0.1 .

In this instance, the error margin is and we are interested in determining the value of n; hence, when we solve n from equation (a), we obtain,

n = pq/ ( ME / 2)²   - (b)

And by substituting the values from part a's equation (b), we obtained:

n = 0.1( 1 - 0.1) / ( 0.02 / 1.64 )²   = 605.16

On rounding off,

n = 605

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A grocery store buys items and then applies a markup of 70%. What is the retail price of item that originally costs $10?

Answers

Answer:

$17.00

Step-by-step explanation:

10 x 1.70 = $17.00

Answer:

The retail price is $17.00

Step-by-step explanation:

a firefighter is placing a 15-foot ladder against a house. he places the ladder 10 feet away from the house. how high up the house will he be able to reach? round to the nearest foot

Answers

20 feet is correct have a nice day :D

Expand each expression In 4y5/x2

Expand each expression In 4y5/x2

Answers

Answer:

\(\ln 4 -2 \ln x +5 \ln y\)

Step-by-step explanation:

\(\ln \dfrac{4y^5}{x^2}\\\\=\ln(4y^5) - \ln(x^2)~~~~~~~~~~~;\left[ \log_b\left( \dfrac mn \right) = \log_b m - \llog_b n \right]\\\\=\ln 4 + \ln y^5 - 2\ln x~~~~~~~~~~~~;[\log_b m^n = n \log_b m ~\text{and}~\log_b(mn) = \log_b m + \log_b n ]\\\\=\ln 4 + 5 \ln y -2 \ln x\\\\=\ln 4 -2 \ln x +5 \ln y\)

Answer: Answer B

Step-by-step explanation: Let's begin

Answer: B in 4 - 2 in x + 5 in y

Given the following function, find f(-2), f(0), and f(4).
f(x) = 3x + 1
f(-2)=

Answers

f(-2)= 3(-2) + 1
which the answer is -5

f(0)= 3(0)+1
which the answer is 1


f(4)=3(4)+1
which the answer is 13

Mathematics questions

Answers

Answer:

?

Step-by-step explanation:

no question at all. You need to upload your picture or type your picture in

The diameterof circle is 8 cm. Find the circumference to the nearest tenth

Answers

Answer:

25.1 cm

Step-by-step explanation:

the other person answered first but have a great day!

Complete the table to show the interest earned for different savings principals, interest rates, and time periods

Answers

The interest earned increases with higher principal amounts, higher interest rates, and longer time periods.

Principal (P) | Interest Rate (r) | Time Period (t) | Interest Earned (I)

$1,000 | 2% | 1 year | $20

$5,000 | 4% | 2 years | $400

$10,000 | 3.5% | 3 years | $1,050

$2,500 | 1.5% | 6 months | $18.75

$7,000 | 2.25% | 1.5 years | $236.25

To calculate the interest earned (I), we can use the simple interest formula: I = P * r * t.

For the first row, with a principal of $1,000, an interest rate of 2%, and a time period of 1 year, the interest earned is calculated as follows: I = $1,000 * 0.02 * 1 = $20.

For the second row, with a principal of $5,000, an interest rate of 4%, and a time period of 2 years, the interest earned is calculated as follows: I = $5,000 * 0.04 * 2 = $400.

For the third row, with a principal of $10,000, an interest rate of 3.5%, and a time period of 3 years, the interest earned is calculated as follows: I = $10,000 * 0.035 * 3 = $1,050.

For the fourth row, with a principal of $2,500, an interest rate of 1.5%, and a time period of 6 months (0.5 years), the interest earned is calculated as follows: I = $2,500 * 0.015 * 0.5 = $18.75.

For the fifth row, with a principal of $7,000, an interest rate of 2.25%, and a time period of 1.5 years, the interest earned is calculated as follows: I = $7,000 * 0.0225 * 1.5 = $236.25.

These calculations show the interest earned for different savings principals, interest rates, and time periods.

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Add or Subtract then complete the chart

Add or Subtract then complete the chart

Answers

The complete chart here is

|---Simplify the Polynomial---|--Degree--|--Leading Coefficient--|--Constant--|

|------7a^4 - 3a^3 - 2a + 2------|------4-------|---------------7----------------|--------2-------|

Explain polynomial

A polynomial is a mathematical expression consisting of variables, coefficients, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and exponentiation. Polynomials can have one or more terms and are commonly used to model relationships in science and engineering.

What is meant by coefficient?

The coefficient is a numerical factor that is multiplied by a variable or a product of variables in an algebraic expression or equation.

According to the given information

To add the two polynomials, we combine like terms. That is, we add the coefficients of terms that have the same degree.

(7a⁴ - 6a³ + 1) + (3a³ - 2a + 1)

= 7a⁴ + (-6a³ + 3a³) + (-2a) + (1 + 1)

= 7a⁴ - 3a³ - 2a + 2

So, the simplified polynomial is `7a⁴ - 3a³ - 2a + 2`.

The degree of this polynomial is `4` since the term with the highest degree is `7a⁴`.

The leading coefficient of this polynomial is `7` since it is the coefficient of the term with the highest degree.

The constant term of this polynomial is `2` since it is the term with a degree of `0`.

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Slope and y-intercept form from a table

Slope and y-intercept form from a table

Answers

Answer:

y = 4x + 3

Step-by-step explanation:

y2 - y1 / x2 - x1

11 - 3 / 2 - 0

8 / 2

= 4

y = 4x + b

3 = 4(0) + b

3 = 0 + b

b = 3

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