Write the equation of the line that is parallel to y=x and goes through the point (- 2, 4)

Answers

Answer 1

Step-by-step explanation:

two

lines are paralle then they halve the same slope

m1=m2

m1=m2=1

L2:y-y1=m(x-x1)

y-4=1(x-(-2)

y-4=x+2

y=x+6 is equation of parallel lines.


Related Questions

What is the GIM of a strip mall with annual income of $547,500 and a value of $6,345,000?

Answers

Answer:

11.6

Step-by-step explanation:

GIM means Gross Income Multiplier and it is a method used for valuating a property or an investment. It is expressed mathematically as the ratio of the property's value/sales price and its gross annual income.

GIM = Value of an investment/Gross annual income.

Given the annual income = $547,500 and Value =  $6,345,000;

GIM =  $6,345,000/$547,500

GIM = 11.589

GIM ≈ 11.6

Hence, the Gross Income Multiplier  of the strip mall is approximately 11.6.

GIM has no units.

Sophia is younger than Mohal. Their ages are consecutive odd integers. Find Sophia's age if the product of their ages is 15.

Answers

Answer:

\(3\)

Step-by-step explanation:

\(\mathrm{Let\ the\ age\ of\ Sophia\ be\ }x\mathrm{\ and\ age\ of\ Mohal\ be\ }x+2.\\\mathrm{Given,}\\\mathrm{Product\ of\ their\ ages = 15}\\\mathrm{or,\ }x(x+2)=15\\\mathrm{or,\ }x^2+2x=15\\\mathrm{or,\ }x^2+2x-15=0\\\mathrm{or,\ }x^2+5x-3x-15=0\\\mathrm{or,\ }x(x+5)-3(x+5)=0\\\mathrm{or,\ }(x+5)(x-3)=0\\\mathrm{i.e.}\ x=-5\ \mathrm{or}\ 3.\)

\(x=-5\ \mathrm{is\ disgarded\ because\ age\ cannot\ be\ negative.}\\\mathrm{So\ the\ age\ of\ Shopia,\ }x=3\)

which point is on the line 4y-2x=0

Answers

Answer:

(2,1)

Step-by-step explanation:

The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.

So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:

4(1) - 2(2) = 0

So the point (2,1) is on the line.

A local city park rents kayaks for $3.75 per hour. If a customer rents for four or more hours, the cost is only $3.25 per hour, plus a $5 processing fee. If C(x) represents the total cost and x represents the number of rental hours, which of the following functions best models this scenario?

C of x equals 3.75 times x if x is less than 6 and 3.25 plus 5x if x is greater than 6.
C of x equals 3.75 times x if x is less than or equal to 5 and 3.25x minus 5 if x is greater than 6.
C of x equals 3.75 times x if x is less than 6 and 3.25x plus 5 if x is greater than or equal to 6.
C of x equals 3.75 times x if x is less than 5 and 3.25x minus 5 if x is greater than or equal to 6.

Answers

The function that best models this scenario is C of x equals 3.75 times x if x is less than 5 and 3.25x plus 5 if x is greater than 6.

How to calculate the value?

Let the number of hours be illustrated as x. In this situation, local city park rents kayaks for $3.75 per hour. This will be:

= 3.75 × x

= 3.75x

Also, customer rents for four or more hours, the cost is only $3.25 per hour, plus a $5 processing fee. This will be illustrated as:

= 5 + (3.25 × x)

= 5 + 3.25x

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write y+4=-2(x-1) in slope intercept form

Answers

Answer:

y=2x-6

Step-by-step explanation:

y+4=-2(x-1)

Since the slope intercept form is in the form of:

y=mx+c

Making above equation in this form.

y+4=-2(x-1)

opening bracket

y+4=2x-2

subtracting both side by 4.

y+4-4=2x-2-4

y=2x-6

This equation is the slope intercept form.

Helppp! Please!! !!!!!!!!

Helppp! Please!! !!!!!!!!

Answers

Answer: Red

Step-by-step explanation: simple look at which one is in the middle the middle of 20 and 30 is 25 simple hoped it helped

Supóngase que el 2% de la población en promedio son zurdos. La probabilidad que en 100 personas haya 3 o más zurdos es

Answers

The probability of 3 or more deaf people in a sample of 100 is given as follows:

0.3633 = 36.33%.

What is the binomial distribution formula?

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.

The values of the parameters for this problem are given as follows:

p = 0.02, n = 100.

The probability of 3 or more deaf people are given as follows:

P(X >= 3) = 1 - P(X < 3).

In which:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

Hence:

P(X = 0) = 0.98^100 = 0.1326.P(X = 1) = 100 x 0.02 x 0.98^99 = 0.2707.P(X = 2) = 99 x 50 x 0.02² x 0.98^98 = 0.2334.

Thus:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X < 3) = 0.1326 + 0.2707 + 0.2334

P(X < 3) = 0.6367.

P(X >= 3) = 1 - P(X < 3).

P(X >= 3) = 1 - 0.6367.

P(X >= 3) = 0.3633.

Translation

We suppose that 2% of the population is deaf, and want to find the probability of 3 or more deaf people in a sample of 100.

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On a super clearance sale, bathing suits were marked 85% off. What is
the sale price of a bathing suit that was originally priced $60?

Answers

The sale price is $9

Answer: $9

Step-by-step explanation: 85% off means when you multiply the number by 0.85 you subtract that from the original number, 60 times 0.85 is 51 and 60-51=9! Hope this helps!

You accept a job with a salary of $35,600. After 6 months, you recieve a 6% raise. What is your new salary?.

Answers

Answer:

get troll lol

Step-by-step explanation:

I'm sorry i just need points

Casey was asked to find XY. What is Casey error?

Casey was asked to find XY. What is Casey error?

Answers

Answer:

\(XY=2YZ\\XY=2\times4\\XY=8\)

The value of XY is given by the trigonometric relation and the measure of side of the triangle is XY = 8

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as XYZ

Let the measure of the side XY of the triangle be A

The measure of side YZ = 4

Now , from the trigonometric relations , we get

sin θ = opposite / hypotenuse

when θ = 30°

Substitute the value of θ in the equation , we get

sin θ = YZ / XY

On simplifying the equation , we get

sin 30° = 4 / XY

Multiply by XY on both sides of the equation , we get

XY ( sin 30° ) = 4

The value of sin 30° = 1/2

So , XY / 2 = 4

Multiply by 2 on both sides of the equation , we get

XY = 8

Hence , the measure of side XY of triangle is XY =8

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what is the answer?!?!??!

what is the answer?!?!??!

Answers

Answer:

Option D

Step-by-step explanation:

It forms a linear pair (Angles on a straight line) with one of the interior angles of the triangle.

Answer:

D

Step-by-step explanation:

A linear pair of angles is when two angles add up to 180 degrees on a line.

Interior angles and exterior angles form a linear pair.

PLEASE HELP IM GOING TO FAIL!!!

PLEASE HELP IM GOING TO FAIL!!!

Answers

Answer:

D.

Step-by-step explanation:

the slope is going up 1 over 2 and the 1 is the y....hope this helps.

A rope is rated to hold 21
2
pounds before it breaks. Estimate by rounding to the nearest pound how many
25
-pound weights the rope will hold.
Anwser:
A) 7 weighs

B) 11 weights

C) 5 weights

D) 9 weights

Answers

Answer:

8 but choose 7 A.

Step-by-step explanation:

Divide 25 into 212

You get 212 / 25 = 8.48

Ignore the 0.48

You can have 8 but if you are estimating, then 7 will do. 9 and especially 11 are too many.

You can do better than 5.

Two boxes have the same volume. One box has a base that is 5cm by 5 The other box has a base that is 10cm by 10cm
How many times as tall is the box with the smaller base?

Answers

Answer:2

Step-by-step explanation:

The answers is 2 do you need explain

PLEASE HELP
Part A: Create a fifth-degree polynomial with three terms in standard form. How do you know it is in standard form? (5 points)

Part B: Explain the closure property as it relates to subtraction of polynomials. Give an example. (5 points)

Answers

A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.

Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The coefficient of the highest degree term (x^5) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.

Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and \(x^{2}\) + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.

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A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.

Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The coefficient of the highest degree term (\(x^{5}\)) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.

Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and  + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.

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30 POINTS!!! PLEASE HELP ME! ASAP

30 POINTS!!! PLEASE HELP ME! ASAP

Answers

Answer:

I think is higher

Step-by-step explanation:

how to solve 8-5x=23

Answers

ANSWER:

The value of x is -3

STEP-BY-STEP EXPLANATION:

We have the following equation:

\(8-5x=23​\)

Solving for x:

\(\begin{gathered} -5x=23-8 \\ x=\frac{15}{-5} \\ x=-3 \end{gathered}\)

What kind of triangle would angels of 24, 52 and 104 degrees?

Answers

Answer:

There are 180 degrees in the 3 angles of a triangle.

Step-by-step explanation:

Someone help me please

Determine the tangent of < A

Someone help me pleaseDetermine the tangent of &lt; A

Answers

Answer:

B

Step-by-step explanation:

The tangent of an angle is the ratio of the opposite side to the adjacent.

With respect to Angle A, the opposite side is 12.

And the adjacent side is 5.

Therefore:

\(\displaystyle\tan(A)=\frac{\text{opp}}{\text{adj}}=\frac{12}{5}\)

The answer is B.

what is the slope of the line

what is the slope of the line

Answers

Remember, slope is the ratio of rise/run, or the change in y/change in x. Essentially, the numerator of the slope is how far vertically the graph will go over how far laterally the graph will go.

To find the slope, we can count the change in y over the change in x, or we can use the slope formula. We can count in this graph.

Recall that when calculating the slope, we always start at the y-intercept: the point where the graph intercepts (crosses) the y-axis.

Looking at the graph, the function intercepts the y-axis at y=-2, so we will start at -2 and count from there. To count, we need two defined points such that they intercept a coordinate.

We have the y-intercept at the coordinate: (0, -2). Now, let’s find another point that has a whole number x-value and whole number y-value. We see that the point (-2, 0) is the next closet point. Now, we can count from (0, -2) to (-2, 0), which will determine the slope.

Slope=m

m=2/-2

We rise 2 units from the y-intercept and run 2 units left (hence -2 and not just 2)

Simply:

2/-2=-1

So, m=-1

The slope of the line is -1.

Please give Brainliest!

it takes matilda twice as long to complete a research project

Answers

What is the full question?
Correct Answer:
Where is the full question? I don’t know what the question means.

Answer to this question prove by induction

Answer to this question prove by induction

Answers

Answer:

solution: \(Sn= \frac{a_{1} (1-q^{n} )}{(1-q)} = \frac{1(1-4^{n}) }{1-4} = \frac{4^{n}-1 }{3}\)

Step-by-step explanation:

This is a geometric series. Common ratio is 4.

y = f(x) = -1x
find f(x) when x = 3

Answers

Hello!

f(x) = -1x

f(3) = -1*3 = -3

What is the missing statement in the proof? Scroll down to see the entire proof. a ∠BDC≅∠ADB b ∠BCA≅∠DCB c ∠BAC≅∠BAD d ∠DBC≅∠BAC

Answers

The missing statement in the proof specified is given by: Option B: ∠BCA≅∠DCB

What is the reflexive property of congruence?

According to the reflexive feature of congruence, the geometric quantity under consideration—be it an angle, a line segment, a form, etc.—is congruent to itself.

The third step's key concept in this instance is the "Reflexive Property of Congruence."

The fourth phase comes to the conclusion that the ΔABC~ΔBDC criteria for similarity are met.

Since it was established in the second stage that ∠ABC≅∠BDC

Therefore, in order for the fourth step to apply angle-angle similarity, which requires the angles of two considered triangles to be congruent, we must demonstrate another angle pair of triangles ΔABC and ΔBDC being congruent in the third step.

Internal angle C is the common angle in the triangles ABC and BDC.

As a result, it is consistent with itself due to its reflexive characteristic.

We obtain the following notation for internal angle C from triangle ABC:

Angle ACB and BCA(both will work)

Triangle BDC gives us the following notation for internal angle C:

Angle DCB and BCD(Both will function.)

They fit together. The second choice takes angle C into account, so:

∠BCA≅∠DCB (second option) is the missing statement.

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which of the following statements are equivalent to the statement "the price increased by 1/2 if what it was before"

Answers

Answer:

The question is incomplete

Answer:

It was 1/3 before

Step-by-step explanation:

Which of the following would be a solution to the system of inequalities below?
A (3, 2)
B (3, 5)
C (3, 0)
D (3, -1)

Answers

I think it should be C

please help with this question

please help with this question

Answers

The statistics that always corresponds to the 75th percentile in a distribution include the following: B. Third Quartile.

What is an interquartile range?

In Mathematics and Statistics, IQR is an abbreviation for interquartile range and it can be defined as a measure of the middle 50% of data values when they are ordered from lowest to highest.

Mathematically, interquartile range (IQR) of a data set is the difference between third quartile (Q₃) and the first quartile (Q₁):

IQR = Q₃ - Q₁ = 75th percentile - 25th percentile.

In this context, we can reasonably infer and logically deduce that the 75th percentile in a distribution is always equal to the third quartile.

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Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is miles per​ hour, with a standard deviation of miles per hour. Estimate the percent of vehicles whose speeds are between miles per hour and miles per hour.​ (Assume the data set has a​ bell-shaped distribution.)

Approximately % of vehicles travel between 61 miles per hour and 71 miles per hour.

Answers

Answer:

68%

Step-by-step explanation:

We observe that the mean of the sample is (61+71)/2 = 66 mph which means the standard deviation of the sample is 5 because 66-5=61 and 66+5=71. The Empirical Rule states that for data observed in a normal distribution, 68% of data will fall within one standard deviation of the mean. Therefore, approximately 68% of vehicles travel between 61 miles per hour and 71 miles per hour.

Fill in the blank


The value of 8 dimes is _______% of the value of a dollar.

Answers

Answer
80

Explanation

One dime is worth 10 cents. So, if you have 8 dimes, times the value of 10 cents, you have 80 cents. One dollar is equal to 100 cents.

Hope this helps!

Lowe's put an advertisement out looking for a department Asst. Manager. They pay
$850 weekly. If Joshua accepts the job, what will he make annually

Answers

Answer:

40800

Step-by-step explanation:

4 weeks = 1 month

So we use,

850 * 4 = 3400 (monthly)

12 months = 1 year

So we use,

3400 * 12 = 40800 (annually)

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