(-1, 2) and (3, k + 3); m =3/4​

Answers

Answer 1

Answer:

k = 2

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step 1: Replace variables

[tex]\frac{(k+3)-2}{3+1} =\frac{3}{4}[/tex]

Step 2: Combine like terms

[tex]\frac{k+1}{4} =\frac{3}{4}[/tex]

Step 3: Solve for k

k + 1 = 3

k = 2

Answer 2

Answer:

k=2

Step-by-step explanation:

The slope is 3/4

The slope formula is (y1-y2)/(x1-x2)

We can plug the values in

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

Combine like terms

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

Cross multiply

-12= -4 - 4k

-8=-4k

k=2

Hope this helps!


Related Questions

Kim started a savings account that can be modeled with A = 500*(1.035) what is the yearly percent
increase according to the model?
A. 3.5%
B. 35%
C. 5%
D. 103.5%
Please help

Answers

Answer:

3.5% because 1.035 * 100 = 3.5

Answer:

3.5

if you take 100 times 1.035 you get 103.5

Simplify 4^2 • 4^8

Multiple Choice Answers:
4^16
4^10
16^16
16^10

I would really appreciate if someone could answer this really quickly. If you could also answer a couple of other ones too that would be absolutely amazing!!!

Answers

Answer:

[tex]4^{10}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] , thus

4² × [tex]4^{8}[/tex] = [tex]4^{(2+8)}[/tex] = [tex]4^{10}[/tex]

which statement is true? all whole numbers are rational numbers all integer's are whole numbers are rational numbers are integer's or none of the above​

Answers

Answer:

a

Step-by-step explanation:

hope this helps

15 inches of snow fell in 12 hours. At this rate, how many inches of snow will fall in 3 days.

Answers

Answer:

90 in

Step-by-step explanation:

15 x 6 = 90 in

This is because

6 x 12 hrs = 3 days

Answer:

90 inches total

Step-by-step explanation:

1 day= 24 hours

12x2=24

15x2=30

30x3=90

3o inches of snow in a full day, and 3 days of snow so 90 inches total

Which phrase is equivalent to the expression (17×4)−35?

Answers

Answer:

-2380

Step-by-step explanation:

you first multiply 17 by 4

next multiply 68 by 35

you get 2380

finally add a negative sign in front of it

Solve for b in the literal equation y = 11x + 11b

Answers

Answer:

b = y/11  -x

Step-by-step explanation:

[tex]y = 11x + 11b\\Move \: 11x\:to\:the \:left\:and\:change\:its\:sign\\\\y -11x =11b\\\\Divide\:both\:sides\:of\:the\:equation\:by\: 11\\\frac{y}{11} -\frac{11x}{11} = \frac{11b}{11} \\y/11 -x =b\\\\b = \frac{y}{11} - x[/tex]

Answer: b = y/11 - x

Step-by-step explanation: You have to isolate your variable by dividing each side of the equation by your factors that DO NOT contain any variable.

I hope this helps you out.

How many (5in. by 5in. by 5in) cubes will occupy a classroom 9ft by 8ft by 7ft in dimension?

Answers

Answer:

Step-by-step explanation:

first convert feet to inches because the measure of cubes is in inches

( 12 inches=1 foot)

9 ft = 12*9=108 inches

8 ft=12*8=96 inches

7 ft= 12*7=84

the volume of the one cube= 5*5*5=125

volume of the classroom: 108*96*84=870912

divide : 870912/125=6967 cubes

P=vrt slove get the r alone
Show work

Answers

Answer:

r = P / vt

Step-by-step explanation:

P = vrt

P / vt = r

r = P / vt

.837537537 as a fraction

Answers

Answer:

.837537537 =  

837537537

1000000000

Step-by-step explanation:

Answer:

0

-

1000000000

i think it will help you

Three equal-sized cardboard boxes are stacked on top of each other. Each box is 56.4 cm in height. What is the combined height of the 3 stacked boxes?

Answers

Answer:

169.2 cm

Step-by-step explanation:

Because the boxes are identical, the height of the combined boxes = 56.4 cm x 3 = 169.2 cm

Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution
-32 + 3y = 9
22 – 7y = -14
Choose 1 answer:

Answers

Answer:

  see below

Step-by-step explanation:

If your equations are the ones shown in the second attachment, then their solution is the one shown in the first attachment.

_____

Apparently, your "interactive graph" needs two points to draw a line through. For these equations, the x- and y-intercepts are found easily enough.

  -3x +3y = 9

To find the x-intercept, set y=0 and divide by the coefficient of x: 9/-3 = -3

To find the y-intercept, set x=0 and divide by the coefficient of y: 9/3 = 3.

  2x -7y = -14

Same procedure: x-intercept = -14/2 = -7; y-intercept = -14/-7 = 2.

All of these intercepts are shown in the third attachment. Using them, you can use your tool to plot the lines and estimate their point of intersection.

jessica's mother gave her 70 chocolates to give to her friends. She gave 3 chocolates to each of her friends at the party and had 4 chocolates left over for herself. How many friends did she have at her graduation party?

Answers

Answer:

She had 22 friends at her graduation party.

Step-by-step explanation:

70 chocolates total minus 3 chocolates times the number of friends she had at the party = 4

70-3x=4

Subtract 70 from both sides of the equation

-3x=4-70

Simplify

-3x=-66

Divide both sides of the equation by -3

-3x/-3=-66/-3

Simplify

x=22

The digit at ones place of a two digit number is three times the digit at tens place.When 54 is added to the number its digit are reversed.Find the number

Answers

Answer:

The number is 39

Step-by-step explanation:

Let the number at the tens place be x and the number at ones place be y.

Hence, The number is 10x + y.

From the question, the digit at ones place (y) is three times the digit at tens place (x). That is, y is three times x. This means

y = 3x ...... (1)

Also, When 54 is added to the number, its digits are reversed (That is, the resulting number would be 10y + x). This means

10x + y + 54 = 10y + x ...... (2)

Put the value of y = 3x from equation (1) into equation (2) to solve for x

Then,

10x + y + 54 = 10y + x

10x + 3x + 54 = 10(3x) + x

13x + 54 = 30x + x

13x + 54 = 31x

31x - 13x = 54

18x = 54

x = 54/18

x = 3.

Now, Put the value of x = 3 into equation (1) to solve for y

y = 3x

y = 3(3)

y = 9.

Hence, x = 3 and y = 9.

Since the number is 10x + y

Substitute the values of x and y.

Then,

10x + y = 10(3) + 9

=30 + 9

= 39

Hence, the number is 39.

A line with a slope of -2/5 that passes through the point (-10,8)

Answers

Step-by-step explanation:

[tex]m = - \frac{2}{3} \\ ( - 10 ,\: 8) = (x_1,y_1)[/tex]

[tex]y-y_1=m(x-x_1)[/tex]

Plug in the values into the equation

[tex]y - 8 = - \frac{2}{3} (x - ( - 10)) \\ y - 8 = - \frac{2}{3}( x + 10) \\ [/tex]

[tex]y - 8 = - \frac{2}{3} x - \frac{20}{ 3 } \\ y = - \frac{2}{3} x - \frac{20}{3} + 8 \\ [/tex]

[tex]y = - \frac{2}{3} x + \frac{4}{3} [/tex]

To solve for x-intercept , Arrange the values in

[tex]ax + by + c = 0[/tex]

=

[tex] - \frac{2}{3} x - y + \frac{4}{3} = 0[/tex]

To find x-intercept .let y = 0 in the above equation

[tex] - \frac{2}{3} x - y + \frac{4}{3} = 0 \\ - \frac{2}{3} x - 0 + \frac{4}{3} = 0 \\ [/tex]

[tex] - \frac{2}{3} x + \frac{4}{3} = 0 \\ - \frac{2}{3} x = - \frac{4}{3} [/tex]

Solve for x ;

[tex]x = 2[/tex]

To find y intercept , let x = 0

and solve for y .

I hope it helps <3

y = mx + b    

m = -²/₃ and line pases  through (-10, 8) so:

8 = -²/₃(-10) + b

8 = ²⁰/₃ + b

b = 8 - ²⁰/₃

b = 8 - 6²/₃

b = 1¹/₃

b = ⁴/₃

Slope Intercept Form:

                                   y = -²/₃x + ⁴/₃

x-intercept:

-²/₃x + ⁴/₃ = 0

-²/₃x =- ⁴/₃

x = - ⁴/₃ ÷(-²/₃)

x = 2                  

                                   (2, 0)

y-intercept:

y =  -²/₃•0+ ⁴/₃ =  ⁴/₃

                                   (0, ⁴/₃)        

A national survey of middle-school students asks which subject is most challenging. Which of these samples is a representative sample?

Answers

Answer:

The correct option is D.

Hoped I helped

Answer:D

Step-by-step explanation:


3x + y = 6
4x + 2y = 8​

Answers

Answer:

x=2 y = 0

Step-by-step explanation:

good luck

can you help me find slope and y intercept

Answers

Answer:

it's right in front of you actually. the y intercept is negative 1/7 and the slope is 1/7

Answer:

your slope 1/7x and your y-int is -1/7. Hope this helps!

Step-by-step explanation:

For what values of a and b does a - b = b - a?

Answers

how can a+b=0?

is a+b=0 a single word followed by the question mark ? the sentence is not complete if “a+b=0” is the subject, it’s like: how can cat?

is the sentence rather: how can a+b be equal to 0 ( meaning zero) ? in that case, supposing we are talking of the usual sum of two elements of an additive group : how can the sum of a and b, written a+b, can be equal to zero, then this seems more like a question about what powers do have any two elements of a group to, by association through addition, to obtain a zero value. Like “how can my brother and me get one of these chocolates ?”

MORE

|

|

v

Now, in your question, maybe a and b are not any two elements of said group but elements well identified before,

suppose you know a is 1 and b is -1 for instance. Then how can 1–1=0? is a very good question : it marvels at the fact that the addition does what it is supposed to do. Lots of things don’t, and lots of people take it for granted that things do what they are supposed to de, like speeds add up, etc.

let’s suppose for example, a is 1 and b is 2.

Then your question is very justified : how can 1+2 be equal to 0 ? it’s a scandal, either the computer is broken, or my mind is , and if anywhere in the world 1+2 =0, there is something wrong with the world.

-----

Hope this helps!! - Maddy  

(if this helps please make brainliest, rate, and thank so I know how I did!)

╰(*°▽°*)╯

Greta draws one side of equilateral △PQR on the coordinate plane at points P(−2, 2) and Q(6, 2). Which ordered pair is a possible coordinate of vertex R?

Answers

Answer:

1,8.9

Step-by-step explanation:

If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by y = 56t − 1.86t^2. Find the average speed over the given time intervals. [1, 2]

Answers

Answer:

50.42m/s

Step-by-step explanation:

Average speed is the change in distance of a body with respect to time. This is expressed as:

[tex]v = \delta y/\delta t\\v = \dfrac{y(t_2)-y(t_1)}{t_2-t_1}[/tex]

Given the function of the height in metres expressed as y = 56t − 1.86t² and time interval [1,2]

t₁ = 1sec and t₂ = 2 secs

y(t₂) = 56t₂ − 1.86t₂²

y(2) = 56(2) − 1.86(2)²

y(2) = 112-7.44

y(2) = 104.56

y(t₁ ) = 56t₁  − 1.86t₁ ²

y(1) = 56(1) − 1.86(1)²

y(1) = 56-1.86

y(1) = 54.14

Substituting the derived value into the formula for finding the average speed:

[tex]v = \dfrac{y(t_2)-y(t_1)}{t_2-t_1}\\\\v = \dfrac{104.56-54.14}{2-1}\\\\v = \dfrac{50.42}{1}\\\\v = 50.42m/s[/tex]

Hence, the average speed over the given time intervals. [1, 2] is 50.42m/s

earth completes its 584-million-mile orbit of the sun in about 365 days. how fast is earth moving through its orbit in miles per hour?

Answers

Answer:

66666.67 miles/hr

Step-by-step explanation:

Given that:

Earth complete its orbit of the Sun which is 584 million miles

Time taken to complete the orbit = 365 days

To find:

Speed of earth in miles per hour = ?

Solution:

First of all, we need to convert the distance in miles and time in hours to get our answer.

Let us have a look at the conversion units:

1 day = 24 hours

So, 365 days = 24 [tex]\times[/tex] 365 hours = 8760 hours

Distance traveled = 584 million miles

1 million miles = 1000000 miles

584 million miles = 584000000 miles

Formula for speed is given as:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

Let us put the values of Distance and time given in miles and hours to get the speed in miles/hr.

[tex]Speed = \dfrac{584000000}{8760}\\\Rightarrow \bold{Speed = 66666.67\ miles/hr}[/tex]

So, the answer is: 66666.67 miles/hr

A skyscraper elevator can move one-teeth of a mile in half a minute. What is this speed expressed in miles per minute?

Answers

Answer:

.2 miles per minute or .2x

Step-by-step explanation:

it move one tenth in half a minute so it moves 2 tenths in a minute.

Tamika is reserving a room in a hotel in France were they use euros. The room charge is €75. Suppose the conversation rate is €1=$1.298. What is the cost of the room in dollars?

Answers

Answer:

  $93.75

Step-by-step explanation:

Multiply the conversion equation by 75:

  €1 × 75 = $1.298 × 75

  €75 = $93.75

x + 1 > -5( 7-2x) I need help please.​

Answers

Answer:

x<4

Step-by-step explanation:

[tex]x + 1 > -5( 7-2x) \\\\\mathrm{Expand\:}-5\left(7-2x\right):\quad -35+10x\\x+1>-35+10x\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\x+1-1>-35+10x-1\\\\Simplify\\x>10x-36\\\\\mathrm{Subtract\:}10x\mathrm{\:from\:both\:sides}\\x-10x>10x-36-10x\\Simplify\\-9x>-36\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\left(-9x\right)\left(-1\right)<\left(-36\right)\left(-1\right)\\\\Simplify\\9x<36[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}9\\\frac{9x}{9}<\frac{36}{9}\\\\x<4[/tex]

A teacher and a doctor each have 45 books. If 4/5 f the teacher's books and 2/3 of the doctor's books are novels, how many more novels does the teacher have than the doctor? Explain the process that was used to find your answer.

Answers

Answer:

3/5

Step-by-step explanation:

The teacher has six novels more than the doctor.

What is the fraction?

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

We have been given that 4/5 of the teacher's books and 2/3 of the doctor's books are novels.

Since a teacher and a doctor each have 45 books.

As per the fractions of the book,

The number of teacher's books = 4/5(45) = 36

The number of doctor's  books = 2/3(45) = 30

Therefore the required difference would be 36- 30 = 6 books

Hence, the teacher has six novels more than the doctor.

Learn more about the fraction here:

brainly.com/question/10354322

#SPJ2

(-2)(3-4-(-1)+6 pls help

Answers

Answer:

6

Step-by-step explanation:

(-2)(3-4-(-1)+6

(-2)(-1-(-1)+6

(Since a negative and a negative make a positive that becomes -1+1.)

(-2)(0)+6

0+6

6

Answer:

Hello! :) I hope I am correct!

Step-by-step explanation:

The answer would be -12

(Look below for steps!!)

-2(-1-(-1)+6)

⇒-2(0+6)

⇒(-2)(6)

(Do the calculations above to find the answer)

=-12

Hope this helps!

By; BrainlyAnime

(Also I attached a picture of other ways to solve this problem!)

Eric has a jar of quarters and dimes. He had 48 coins in the jar. The total value of the coins is $7.35. How many quarters are.in the jar?

Answers

Answer:

17

Step-by-step explanation:

$4.25 - 17 quarters

$3.10 - 31 dimes

Answer:

17 quarters and 31 dimes are in the jar

Step-by-step explanation:

First, you need to set up two equations based on the information given.

First is an equation for the total number of coins:

48 = d + q

d = dimes

q = quarters

Second is an equation for the total amount in the jar and the respective amount per variable (d = .1 , q = .25).

7.35 = .1d + .25q

Using the first equation, you need to solve for one variable. In this case well solve for d, so we can later plug it in to solve for q.

48 = d + q

d =  48 - q

Next, we can plug our formula for d into our second equation, so we only have one variable to solve for, q.

.1(48-q) +.25q = 7.35

4.8 - .1q + .25q = 7.36

4.8 + .15q = 7.35

.15q = 2.55

q = 17

Finally, to solve for d with a number, we can plug q = 17 back into our first formula : 48 = d + q

48 = 17 + d

d = 31

I hope this helps!

-TheBusinessMan

A 2.5​ ft wide circular track for a camera dolly is set up for a movie scene. The two rails of the track form concentric circles. The radius of the inner circle is ft. How much farther does a wheel on the outer rail travel than a wheel on the inner rail of the track in one​ turn?

Answers

Answer:

15.71 ft

Step-by-step explanation:

Given that:

width of the circular track = 2.5ft

Suppose the radius of the inner circle is 57 ft since it is not given

Then the radius of the outer circle = (2.5 + 57) ft = 59.5 ft

The circumference of a circle = 2πr

For inner circle now, the circumference = 2 × π × 57 ft

For inner circle now, the circumference = 358.14 ft

For the outer circle, the circumference = 2 × π × 59.5 ft

For the outer circle, the circumference = 373.85 ft

The difference between the circumference of the outer wheel from the inner wheel shows how farther does a wheel on the outer rail travel than a wheel on the inner rail of the track in one​ turn

= ( 373.85 - 358.14 ) ft

= 15.71 ft

on a trip to canada you may wish to convert the local temperature from celsius to fahrenheit.

Answers

Answer:

59

Step-by-step explanation:

it would probably be 59

1. One number is 11 more than 3 times another number. Their sum is 71. Find the smaller number. 2. Two angles are complementary. One angle measures 22 degrees more than the other angle. Find the measure of the larger angle. 3. Two angles are supplementary. One angle measures 40 degrees more than the other angle. Find the measure of the larger angle. 4. The sum of three consecutive even integers is -36. Determine the largest integer of the three.

Answers

Answer:

1. The two numbers are 56 and 15

2. The two angles are 56 and 34 degrees

3. The two angles are 110 and 70 degrees

4.The largest number is -10

Step-by-step explanation:

Solving (1):

Represent both numbers with x and y

[tex]x = 11 + 3y[/tex]

[tex]x + y = 71[/tex]

Solving for x and y

Substitute [tex]11 + 3y[/tex] for x in the second equation

[tex]11 + 3y + y = 71[/tex]

Collect Like Terms

[tex]3y + y =71 - 11[/tex]

[tex]4y = 60[/tex]

Divide both sides by 4

[tex]y = 15[/tex]

Recall that

[tex]x = 11 + 3y[/tex]

[tex]x = 11 + 3 * 15[/tex]

[tex]x = 56[/tex]

Hence, the two numbers are 56 and 15

Solving (2)

Represent the two angles with x and y

[tex]x = 22 + y[/tex]

Since they are complementary;

[tex]x + y = 90[/tex]

Substitute 22 + y for x in [tex]x + y = 90[/tex]

[tex]22 + y +y= 90[/tex]

[tex]22 + 2y =9 0[/tex]

Collect Like Terms

[tex]2y = 90 - 22[/tex]

[tex]2y = 68[/tex]

Divide both sides by 2

[tex]y = 34[/tex]

Recall that [tex]x = 22 + y[/tex]

[tex]x = 22 + 34[/tex]

[tex]x = 56[/tex]

Solving (3):

Represent the two angles with x and y

[tex]x = 40 + y[/tex]

Since they are supplementary;

[tex]x + y = 180[/tex]

Substitute 40 + y for x in [tex]x + y = 180[/tex]

[tex]40 + y + y = 180[/tex]

[tex]40 + 2y = 180[/tex]

Collect Like Terms

[tex]2y = 180 - 40[/tex]

[tex]2y = 140[/tex]

Divide both sides by 2

[tex]y = 70[/tex]

Recall that [tex]x = 40 + y[/tex]

[tex]x = 40 + 70[/tex]

[tex]x = 110[/tex]

Solving (4):

Let the smallest number be x

[tex]x + x + 2 + x + 4 = -36[/tex]

Collect Like Terms

[tex]x + x + x = -36 - 2 - 4[/tex]

[tex]3x =-42[/tex]

Divide through by 3

[tex]x = -14[/tex]

The largest number; x + 4 is

[tex]x + 4 = -14 + 4[/tex]

[tex]x + 4 = -10[/tex]

Hence, the largest number is -10

Other Questions
Classify each characteristic as relating to a fixed exchange rate regime or a flexible, or floating, exchange rate regime.a. signals a commitment not to engage in inflationary policiesb. provides certainty about the value of a currencyc. distorts incentives for importing and exporting goods and servicesd. enables policy makers to engage in monetary policy1. Fixed exchange rate regime 2. Flexible (floating) exchange rate regime What are some non-examples of lipids? Significant Figures Tell me what's wrong. When adding and subtracting, you line up decimal and look for the least decimal places. 0.87 4.061 +10.4 -------------- 15.331 My answer is 15 but teacher said I'm wrong Thank You In your own words, describe the concept of specific heat capacity and the effects that it has on temperature changes. Give an example of specific heat capacity that you see in your everyday life. Why did you select this example please help im am timed solve for x using zeros of function method-x+2x+x-2=0 A geothermal plant has been built near a protected forest land. Which of these is a likely drawback to building a geothermal energy plant in this area? What did American women do at the homefront during World War II? Type the correct answer in the box. The motion of a clock pendulum is modeled by this graph. The function describing this graph is a transformation of the parent cosine function, y = cos x . Find the range, period, and maximum of the transformed function, D(t). what is 8.000 mol / 2.00 L If mNLO = 41 and mNLM = 88, what is mOLM? 47 44 129 23 The ___________ assistant is able to respond calmly to last-minute assignments to meet deadlines under pressure. * Solve for x: the quantity of x plus 16 all over 3 = 3x (1 point) a x = 7 b x = 13 c x = 8 d x = 2 What is thedifference inthe jurysystems?In Athenian democracy and American democracy In a paragraph, explain how the bill of rights made it possible for the Anti-Federalists to support the Constitution. Why was it added? What problem with the constitution did it solve? In the equation A = bh,what does each of thevariables stand for? Why do you think the whitefish blastula was chosen rather than a sample of adult tissue to view on a slide Ecosystems are identified based on their unique why it is important to convert units prior to calculation? Consider position [x] = L, time [t] = T, velocity [v] = L/T and acceleration [a] = L/T 2 . Find the exponent A in the equation v = a^2 t^ A /x