Find the equation of a line passing through the points (-1,5) and (3,17).

Answers

Answer 1

Answer:

y=3x+8

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

you find the slope by using this formula:

then we figure out it is 3

then graph to find the y-intercept which is 8

Find The Equation Of A Line Passing Through The Points (-1,5) And (3,17).
Answer 2

Answer:

y = 3x + 8

Step-by-step explanation:

Below is the image for the formula of the slope.

1. Subtract y values:
17 - 5 - 12
2. Subtract x values:
3 - (-1) = 4
3. Divide y/x
12 / 4 = 3
Therefore, the slope is 3.

Next, you need to find the y-intercept. This is our equation so far:
y = 3x + b
We can substitute any of the points given to us from the problem. I will use the first point: (-1, 5).

When substituting, you get:
5 = 3 ( -1 ) + b
5 = -3 + b
b = 8

Therefore, the equation is y = 3x + 8

Find The Equation Of A Line Passing Through The Points (-1,5) And (3,17).

Related Questions

Which of the following statements is true?

Answers

Answer:

B

Step-by-step explanation:

1/9 can be simplified to 1/3 as 1/3 x 1/3 = 1/9  and 49/25 can be simplified to 7/5 as 7/5 x 7/5 = 49/25.

Now looking at both the fraction 1/3 and 7/5

1/3 simplifies to 0.34

It is an irrational value as the 3 keeps repeating.

7/5 simplifies to 1.4

It is a rational value as the decimal value is not repeating.

Thus making the second option the answer.

Suppose that in the country of Workanda, the population is 330 million, and 170 million people are working (have a job). If 70 million people are ineligible to work and the Labor Force Participation Rate is 70%, what is the unemployment rate in Workanda? [Use two significant digits for your answer]. A BIU - PE III Suppose that in the country of Workanda , the population is 330 million , and 170 million people are working ( have a job ) . If 70 million people are ineligible to work and the Labor Force Participation Rate is 70 % , what is the unemployment rate in Workanda ? [ Use two significant digits for your answer ] . ​

Answers

Answer:

30%

Step-by-step explanation:

The unemployment rate is 30%

Which of the following sets represents the range of the diagram below?​

Answers

The set that represents the range of the diagram below is given as follows:

B. {3, 5, 7}.

What is the range of a data-set?

It is the set that contains all possible output values.

In the diagram, we have that:

The input values are: {1,2,3,4,5}.The output values are: {3,5,7}.

Hence the set that represents the range of the diagram below is given as follows:

B. {3, 5, 7}.

More can be learned about the range of a data-set at https://brainly.com/question/24374080

#SPJ1

How to solve this?? (-4)-(-8)+(-4)

Answers

(-4) - (- 8) + (- 4)
- 4 - (- 8) + (- 4)
- 4 + 8 + (- 4 )
- 4 + 8 - 4
= 0
(-4)-(-8)+(-4)
-4 + 8 - 4
4 - 4
=0

• 2 minus signs make a plus sign

The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to
the equation Ix - 72.5 = 4. What are the minimum and maximum temperatures in the house?

Answers

Answer:

he.....a red cap.(wants/want)

6. The diagram on the right shows the cross-section of a cylindrical pipe with water lying in the bottom. a) If the maximum depth of the water is 2 cm and the radius of the pipe is 7 cm, find the area shaded. b) What is the volume of water in a length of 30 cm?​

Answers

Answer:

404 cm³ Anyway... Look down here for my explanation.

Step-by-step explanation:

Let's Draw a line from the center of the circle to one of the ends of the chord (water surface) and another to the point at greatest depth on your paper. A right-angled triangle is formed too. The Length of side to the water-surface is 5 cm, the hospot is 7 cm.

We Calculate the angle θ in the corner of the right-angled triangle by: cos θ = 5/7 ⇒ θ = cos ˉ¹ (5/7)

44.4°, so the angle subtended at the center of the circle by the water surface is roughly 88.8°

The area shaded will then be the area of the sector minus the area of the triangle above the water in your diagram.

Shaded area 88.8/360*area of circle - ½*7*788.8°

= 88.8/360*π*7² - 24.5*sin 88.8°

13.5 cm²

(using area of ∆ = ½.a.b.sin C for the triangle)

Volume of water = cross-sectional area * length

13.5 * 30 cm³

404 cm³

I need help with number 10 and I'm not sure if a or b is correct either.

Answers

Answer:

:)

Step-by-step explanation:

You don't need help. You got all the answers correct.  :))))) Nice!

The equation for the line of best fit for this situation is shown below.



Based on the line of best fit, complete the given statements.

The expected number of hot dogs sold when the temperature is 50° would be
hot dogs.

If the vendor sold 35 hot dogs, the temperature is expected to be
degrees.

Based on the line of best fit, for every 10-degree increase in temperature, she should sell
more hot dogs.

Answers

The expected number of hot dogs sold when the temperature is 50° would be 23 hot dogs, If the vendor sold 35 hot dogs, the temperature is expected to be 90 degrees.

Based on the line of best fit, for every 10-degree increase in temperature, she should sell 3 more hot dogs.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}[/tex]

[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

The question is incomplete.

The complete question is:

A hot dog vendor at the zoo recorded the average temperature in degrees, x, and the average number of hot dogs she sold, y.

The equation for the line of best fit for this situation is shown below.

[tex]\rm y=\dfrac{3}{10}x+8[/tex]

Based on the line of best fit, complete the given statements.

The expected number of hot dogs sold when the temperature is 50° would be___hot dogs.If the vendor sold 35 hot dogs, the temperature is expected to be ___degrees.Based on the line of best fit, for every 10-degree increase in temperature, she should sell____more hot dogs.

We have a line of best fits:

[tex]\rm y=\dfrac{3}{10}x+8[/tex]


Plug x = 50 in the line of best fit.

y = (3/10)50 + 8

y = 15+8

y = 23

Plug y = 35

35 = (3/10)x + 8

27 = (3/10)x

x = 90 degree

Based on the line of best fit, for every 10-degree increase in temperature, she should sell 3 more hot dogs.

Thus, the expected number of hot dogs sold when the temperature is 50° would be 23 hot dogs, If the vendor sold 35 hot dogs, the temperature is expected to be 90 degrees, and based on the line of best fit, for every 10-degree increase in temperature, she should sell 3 more hot dogs.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ1

Consider the given density curve.

A graph goes from (0, 0) to (5, one-half).

Suppose that the mean value is 3.67. What is the best approximation for the median?

3.2

3.4

3.6

3.8

Picture posted below

Answers

The best approximation for the median is 3.6.

An illustration of a numerical distribution with continuous results is a density curve. A density curve is, in other words, the graph of a continuous distribution. This implies that density curves can represent continuous quantities like time and weight rather than discrete events like rolling a die (which would be discrete). As seen by the bell-shaped "normal distribution," density curves either lie above or on a horizontal line (one of the most common density curves).

For the given density curve, the area under the density curve is

A=(1/2)×5×(1/2)=5/4

now, for the median, the area on the left and the area on the right of the median.

Let the median be x, then

The area criteria we get

(1/2)x(x/10)=(5/4)/2

⇒x²=5*20/4=25/2

So, we get x=5/([tex]\sqrt2[/tex])=3.5 ≈ 3.6

Hence the required answer is option 3.6

Learn more about density curves here-

brainly.com/question/18345488

#SPJ10

find 2^x=4x, find x ​

Answers

Whatever... I'll try to solve the first two problems.

[tex]2^x=4x\\4x=e^{\ln 2^x}\\4x=e^{x\ln 2}\\\dfrac{1}{4x}=e^{-x \ln 2}\\-\dfrac{\ln 2}{4}=-x\ln 2e^{-x \ln 2}\\-x\ln 2=W\left(-\dfrac{\ln 2}{4}\right)\\x=-\dfrac{W\left(-\dfrac{\ln 2}{4}\right)}{\ln 2}[/tex]

1.

[tex]x=\sqrt{13+\sqrt{5+\sqrt{13+\sqrt{5+\sqrt{13+\sqrt{5\ldots}}}}}}\qquad\left( x\geq0\right)\\\\x=\sqrt{13+\sqrt{5+x}}\\\\x^2=13+\sqrt{5+x}\\\sqrt{5+x}=x^2-13\\\\D:5+x\geq0 \wedge x^2-13\geq 0\wedge x\geq 0\\D:x\geq-5 \wedge x^2\geq13\wedge x\geq 0\\D:x\geq \sqrt{13} \vee x\leq-\sqrt{13}\wedge x\geq0 \\D:x\in[\sqrt{13},\infty)\\\\ 5+x=x^4-26x^2+169\\x^4-26x^2-x+164=0\\\vdots\\(x - 4) (x^3 + 4 x^2 - 10 x - 41) = 0\\x-4=0\\x=4[/tex]

One solution is [tex]x=4[/tex], and [tex]4\in D[/tex], therefore[tex]\sqrt{13+\sqrt{5+\sqrt{13+\sqrt{5+\sqrt{13+\sqrt{5\ldots}}}}}}=4[/tex].

We can ignore other possible solutions of the polynomial equation, because the expression can not be equal to two different values simultaneously.

An airplane is flying at an altitude of 26,843 feet. The plane descends (goes down) 1,284 feet. Then the plane ascends (goes up) another 5,832 feet.

Let a represent the altitude of the plane.

Which equation could be used to find the final altitude of the plane?


A. a = 26,843 + 1,284 + 5,832

B. a=26,843+1,284−5,832

C. a=26,843−1,284+5,832

D. a=26,843−1,284−5,832

Answers

Answer:

Hi

The answer is C

Step-by-step explanation:

Because it descend means goes down so it's minus and after that it ascends means goes up so it's plus so the answer will be -

26,843-1,284+5832

Write 72 as a product of primes.
Use index notation when giving your answer.

Answers

Multiplication is the process of multiplying. The number 72 in terms of the product of primes is described as 2³ × 3².

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The number 72 in terms of the product of primes can be written as,

72 = 2×2×2×3×3×1 = 2³ × 3²

Hence, the number 72 in terms of the product of primes is described as 2³ × 3².

Learn more about Multiplication:

https://brainly.com/question/14059007

#SPJ1

write the following situation as a proportion, 10 sandwiches feed 8 kids, how many sandwices will feed 30 kids

Answers

There’s your answer have a great day

what is the number whose 10% is 12? ​

Answers

Answer:

120

Step-by-step explanation:

10%=12

20%=12x2

100%=12x10

        =120

Answer:

Let the number be x.

Compute 10% of x and equate it to 12 to compute the value of x as follows:

[tex]x[/tex] x [tex]\frac{10}{100} = 12[/tex]

[tex]x[/tex] = 12 x [tex]\frac{100}{10}[/tex]

[tex]x[/tex] = 120

Thus, the number is 120.

how many ml of 40 percent acid should be added to pure acid to make 70ml of 65 percent acid?

Answers

The amount of the acid will be equal to 113.75 Ml.

What is concentration?

Concentration in chemistry is calculated by dividing a constituent's abundance by the mixture's total volume.

In chemistry, to solve this kind of exercise, dilutions, and concentrations are common to use the following equation

C1 x V1 = C2 x V2

V1 refers to volume 1, in this case, is 70mL because is the quantity I have, the solution I can use to obtain another solution. C1 refers to the concentration of the solution I also have, in this case, 65%.

C2 and V2 refer to the volume and concentration of the solution I am looking for. So, if want to know V2, which is the volume I need to add, the only thing to do is find V2 in the equation:

V2 = ( C1 x V1 ) / C2

V2 = ( 65% x 70mL) / 40%

V2 = 113.75 Ml.

                                               

Therefore the amount of the acid will be equal to 113.75 Ml.  

To know more about Concentration follow

https://brainly.com/question/24595796                    

#SPJ1                        

look at the picture

thank you ​

Answers

The correct answer to this question is the first option

What is the range of the function graphed below?

Answers

Its the second option!

The range expresses the constraints of y-values of a function. There is a solid point at positive three which means that it is included. The open point at -3 means it’s not included. This makes the range -3

how do i work this on calculator
2x-10=8

Answers

Answer:

x = 9

Step-by-step explanation:

2x-10=8

2x = 10 + 8

2x = 18

x = 18 : 2 =

x = 9

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

check

2 * 9 - 10 = 8                         (remember PEMDAS)

18 - 10 = 8

8 = 8

the answer is good

What is the surface area of a sphere with radius 3?

Answers

Answer:

A≈113.1

Step-by-step explanation:

A=4πr2=4·π·32≈113.09734

Complete the point-slope equation of the line through (-4, 8) and (4, 4).
Use exact numbers.
y-4=

Answers

Answer:

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

Step-by-step explanation:

point slope form: y-y1=m(x-x1)

every time x increases by 8, y decreases by 4. slope can be found by rise/run. the slope is -4/8 which is -1/2, which means m=-1/2. in the given equation, it said y-4. It plugged in 4 for y1, meaning it was talking about the second given point, which was (4,4). plug in 4 for x and you get y-4=-1/2(x-4)

Which equation has x-intercepts located at (-1,0) and (-5,0)?
A. y=(x + 1)(x - 5)
B. y=(x + 1)(x + 5)
C. y=(x-1)(x - 5)
D. y=(x-1)(x + 5)

Answers

Answer:

B. y = (x+1)(x+5)

Step-by-step explanation:

If the x-intercepts are (-1,0) and (-5,0), then the solutions (also called zeros and x-intercepts) are

x = -1 and x = -5

This is a "working backwards" kind of problem. If you were solving the equation, right before the final step, x=-1 would have been:

x + 1 = 0

Right before x=-5

would have been,

x + 5 = 0.

These two: x+1 and x+5 are called the linear factors. You multiply them back together to find the equation.

y = (x+1)(x+5)

one interior angle of a polygon is a right angle and each of the other interior angles is 126°. Calculate the number of sides of the polygon​

Answers

Answer:

There are 7 sides.

Step-by-step explanation:

Let's Use the formula that states that the sum of the angles of an n-sided polygon is given by.

S=(n−2)180

Since we are given that the two angles are right, the angles and each of the remaining angles is 144.

And Therefore, the sum is:

S=90

(n−2)144

(n−2)180

=90

+90

+(n−2)144

⇒(n−2)180

−(n−2)144

=180

⇒(n−2)(180

−144

)=180

⇒(n−2)(36

=180

⇒n−2=

36

180

​⇒n−2=5

⇒n=5+2=7

Hence, the polygon has 7 sides.

The number of sides of the polygon such that one angle is the right angle will be 6.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

In any closed polygon, the number of sides is equal to the number of interior angles.

Suppose the number of sides is n in the given polygon.

Sum of angles = 90° + 126° × (n - 1)

The sum of angles is given as, 180(n - 2)

90° + 126° × (n - 1) = 180(n - 2)

90 + 126n - 126 = 180n - 360

180n - 126n = 90 - 126 + 360

54n = 324

n = 6

Hence "The number of sides of the polygon such that one angle is the right angle will be 6".

For more about the angle,

brainly.com/question/13954458

#SPJ2

find X :))))))))))))))

Answers

Answer:

X + 35° = 70° ( this is one of the property of triangle in which the sum of two interior angles of a triangle is equal to its other angle)

X = 70 - 35

X = 35°

in quadlateral wxyz wc equals 2X +5 and CY equals 3X +2 what must x equal

Answers

The value of x in the given quadrilateral is; x = 3

How to find the angle in a quadrilateral?

The diagonals of a parallelogram bisect each other.

Thus, from the image attached, we can say that;

WC = CY.

Thus;

2x + 5 = 3x + 2

Subtract 2x from each side to get;

5 = x + 2

Subtract 2 from each side to get;

5 - 2 = x + 2 - 2

x = 3

The complete question is;

In quadrilateral WXYZ, WC = 2x + 5 and CY = 3x + 2. What must x equal for quadrilateral WXYZ to be a parallelogram?

Read more about Quadrilateral angle at; https://brainly.com/question/4099416

#SPJ1

Which property is not used to simplify the following expression?
(x + 5) - 2+ 7 = 2(x + 5) + 7.
= (2x + 10)+7
= 2x + (10 + 7)
= 2x + 17
O distributive property
O associative property of addition
O commutative property of multiplication
O commutative property of
addition

Answers

Answer:

Seitokachou-sama uhuuuyy7 is

A
Find the value of x.
Round to the nearest tenth.
19°
B
142°
X
x = [?]
Law of Sines: sin A
42
sin B
b
sin C
C

Answers

The value of x will be equal to x = 79.

What is the triangle?

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

For an isosceles triangle, the value of two opposite angles is equal and the opposite sides are also equal.

The Sum of the three angles is equal to 180 degrees so the third angle will be calculated as:-

Angle = 180 - 142 - 19 = 19

Now applying Lami's theorem in the triangle we will get the third side.

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

[tex]\dfrac{Sin 19}{42}= \dfrac{Sin142}{x}[/tex]

[tex]x = \dfrac{42\times Sin 142}{Sin19}[/tex]

x = 79

Therefore the value of x will be equal to x = 79.

To know more about triangles follow

https://brainly.com/question/17335144

#SPJ1

Answer:

Step-by-step explanation:

Base of a prism is a right triangle with legs 3 feet and 4 feet. The height is 13 feet , what is the volume?

Answers

Answer:

Triangular prisms

Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h

Step-by-step explanation:

PLEASE HELP!!!!!!!!!

Answers

Answer:

correct answer is B.

Step-by-step explanation:

for more information see the attachment.

Answer:

no 2/B is the correct answer

Please help!! I will give 20 points to the correct answer !! Thanks so much

Answers

Answer:

-6 and 10

Step-by-step explanation:

i did this before. np kiddo

Answer:

  -6, +10

Step-by-step explanation:

You are looking for factors of -60 that have a sum of 4. It can be helpful to list them so that they have a positive sum.

  -60 = (-1)(60) = (-2)(30) = (-3)(20) = (-4)(15) = (-5)(12) = (-6)(10)

The sums are 59, 28, 17, 11, 7, 4. The factor pair of -60 that has a sum of 4 is ...

  -6 and 10

_____

Additional comment

The square root of 60 is between 7 and 8, neither of which are factors of 60. That means the above list includes all of the factor pairs of 60. We have chosen the signs so that the sums are positive and the product is negative.

What is the value of x in angle E? Show and explain your work.

Answers

This answer would be acute because it equals under 45
Other Questions
This table represents a quadratic function with a vertex at (1, 1). What is theaverage rate of change for the interval from x = 5 to x = 6?OA. 26OB. 13O C. 7OD. 912345X12LO51017y Why do calculations of recombination frequencies between loci that are far apart on chromosomes underestimate the true genetic distance between the loci?. Jack went to the ABC Casino to gamble. ABC offers its customers one free spin of the Million Dollar Wheel if they fill out an application form. Jack filled out the form, spun the Million Dollar Wheel, and won. However, now ABC refuses to pay, claiming that because Jack did not purchase his chance at the Million Dollar Wheel, Jack gave no consideration and therefore, no contract was formed. Identify the accurate statment 9. One reason the rulers of Spain supportedColumbus's journey wasA. to win an advantage over theirEuropean rivals.B. to increase their trade in African slaves.C. to make contact with the natives of theAmericas.D. to find a source of new types of food fortheir people. C213A. 21B. 23C.24D. 25b7#54In the figure, which angle has the same measure as /2? What is the quotient of the synthetic division problem below, written inpolynomial form?3 -2 15-22-16A.2xd 121xr 41B=2,219x15C. 2y 1 9g40D2y7 - 21x 40 Solve for B:1/5b=d+f Question 3(Multiple Choice Worth 5 points)(06.03 LC)Determine the equation of the graph, and select the correct answer below.(-1, 3) X+1/2y=5 What is the rate of change of y with respect to x? Translate each description into an algebraic expression. Then, evaluate the expressionusing the value shown in the box for the variable.EXAMPLE: the quotient of 112 and a added to 25 = (112 + a) + 25 = 53a = 4w = 10b=3x = 11c = 9y = 7 d=2z = 51. the difference of 100 and the product of y and 12 =2. b times the sum of 15 and 37 =3. 27 added to the product of z and 12 =4. 135 divided by the product of c and 5 =5. w to the second power times the quotient of 12 and 4 =6. 12 times d divided by the difference of 25 and 19 =7. the product of x and 5 added to 13 = The heights of adult men in the united states are approximately normally distributed with a mean of 70 inches and a standard deviation of 3 inches. use this information together with the 68-95-99.7 rule to make three statements about the height of adult men in the united states. Question 1(Multiple Choice Worth 6 points) (LC) A Brief Study of Guts You may not know this, but you are home to a colony of bacteria. You may also not know it, but the health and happiness of that colony of bacteria have a direct effect on your own health and happiness. In short, if we are what we eat, then we may need to make bacteria part of our balanced breakfast. Microbes are single-celled organisms. They are literally everywhere. Microbes are in the air we breathe, on the surfaces of everything we touch, and inside our bodies. Microbes can be bacteria, fungi, protozoa, or viruses. A few years ago, scientists began studying the microbial life of our stomachs. Called The American Gut project, this study aims to understand the life of the bacteria that live in our digestive system. According to an article in the New York Times by Michael Pollan, the goal is to gather information on the types and amounts of bacteria in the human gut. Scientists want to describe what a normal healthy microbe and human relationship should look like inside our digestive system. While the research is still in the very early stages, scientists have learned the following: The strongest and healthiest microbe systems are those with a lot of variety. The guts of Americans have much less variety than the guts of other populations. Diets that include a lot of processed foods support less variation in bacteria. Studying the makeup of our individual bacteria communities will help scientists get a better idea of which bacteria help human bodies. We used to think that bacteria in our bodies were invaders. This new research suggests that bacteria are part of the protective army that keeps us healthy. In fact, our bodies have a hard time recovering from medicines like antibiotics because they disrupt the balance of helpful bacteria. It seems clear from the early evidence that living with bacteria helps us resist invasion from things that make us sick. Scientists have also learned that microbes might help our guts do things like process v Put each verb in brackets into either the present perfect, past simple or present simple.5 points1. I (never eat)2. I (hope).3. Recently a lot of young people (take up).4. When we (reach)..some squid.octopus, but once on holiday I (eat)you aren't a vegetarian. I (cook)you some lamb chops.Any tickets left.the cinema, there (not be)kite surfing. What is an advantage of using renewable energy resources?A. They can be converted directly into electric energy.B. They do not waste energy in heat.C. They can be replenished in a human lifetime.D. They do not produce greenhouse gases. Credit was made much more available through the installment plan, margin buying and other methods during the 1920s. Which of the following was true regarding the easy availability of credit?Select one:a.The installment plan made it more difficult for people to buy goods that they could not afford.b.Americans were not interested in taking advantage of these new opportunities and continued to live within their means.c.The availability of credit had little economic impact.d.Many people, businesses and investors spent beyond what they could afford which had negative effects on the economy. the cheap foreign ______ argument says that trade protection is required to ensure that cheap imports do not flood u.s. markets, dragging down prices of goods and u.s. wages. (11-8)x3+7+27-3(183)+6+(14-8)x5(11-7)x6+4+32-4 What will most likely happen if a person does not consume the minimum daily requirement of carbohydrates? Need help with this geometry question The New England Primer was the standard text throughout the colonial period. true or false