Instructions: Write the equation of the line in Point-Slope Form given the information below. Hint: The y-intercept is the
coordinate point (0,b)

Slope= -6/5
Y-Intercept = 2
Point-Slope Form:

Answers

Answer 1

Answer:

          y - 2 = -⁶/₅x

Step-by-step explanation:

The point-slope form of the equation of the line passing point (x₁, y₁) and with the slope of m is:  y - y₁ = m(x - x₁)

m = -⁶/₅

Y-Intercept = 2  ⇒  point (0, 2)  ⇒  x₁ = 0,  y₁ = 2

Point-Slope Form:    y - 2 = -⁶/₅(x - 0)


Related Questions

Use Cramer's rule to solve the following equation systems A2 JA A VAL 8x1 + 9x2 + 413 = 2 11 +212 + 313 = 3 711 + 6x2 + 5/3 = 1 The solutions are x; = 4,15 = , and ; = What are All, a; and|A3/? 1. |4,1 = -60, x) = -1, and |A3= -60 2. [A1] = -78, 3) = -0.7, and |A3] = 28 3. |A1 = -60, ; = 1, and A3] = 36 4. |A 1 = -78, x = 1.25, and |A3| = 52 2. Given the function y = f(r) = 57- 4r. (a) Find the difference quotient as a function of and Ar. 1. 10.r - 4 2. 5.r? - 4r 3. 5(Ar)? - 4A: 4. 10.r + 5Ar - 4 (b) Find f'(-1) and f'(5). 1. S'(-1) = 9 and f'(5) = 105 2. f'(-1) = -14 and f'(5) = 46 3. $'(-1) = -14 and f'(5) = 105 4. f'(-1) = -19 and f'(5) = 71

Answers

1) The solutions to the equation system are x₁ = 11/39 and x₂ = -7/39.

2) The difference quotient as a function of Δr is -4.

3)  f'(-1) = -4 and f'(5) = -4.

To solve the equation system using Cramer's rule, we need to find the determinant of the coefficient matrix A and the determinants of the matrices obtained by replacing each column of A with the column on the right-hand side.

The given equation system is:

8x₁ + 9x₂ = 2

11x₁ + 2x₂ = 3

7x₁ + 6x₂ = 1

Step 1: Calculate the determinant of the coefficient matrix A.

A = |8 9|

|11 2|

|7 6|

|A| = (8 * 2) - (9 * 11)

    = -78

Step 2: Calculate the determinant of the matrix obtained by replacing the first column of A with the column on the right-hand side.

A₁ = |2 9|

|3 2|

|1 6|

|A₁| = (2 * 2) - (9 * 3)

     = -22

Step 3: Calculate the determinant of the matrix obtained by replacing the second column of A with the column on the right-hand side.

A₂ = |8 2|

|11 3|

|7 1|

|A₂| = (8 * 3) - (2 * 11)

     = 14

Step 4: Calculate the solutions x₁ and x₂ using Cramer's rule.

x₁ = |A₁| / |A|

   = -22 / -78

   = 11/39

x₂ = |A₂| / |A|

    = 14 / -78

    = -7/39

Therefore, the solutions to the equation system are x₁ = 11/39 and x₂ = -7/39.

Now, let's move on to the second part of your question regarding the function f(r) = 57 - 4r.

(a) To find the difference quotient as a function of Δr (Δr represents the change in r):

Difference quotient = (f(r + Δr) - f(r)) / Δr

Expanding and simplifying the expression:

Difference quotient = (57 - 4(r + Δr) - (57 - 4r)) / Δr

                                = (57 - 4r - 4Δr - 57 + 4r) / Δr

                                = -4Δr / Δr

                                = -4

Therefore, the difference quotient as a function of Δr is -4.

(b) To find f'(-1) and f'(5), we need to find the derivative of f(r) with respect to r.

f'(r) = d/dx (57 - 4r)

     = -4

Substituting r = -1 and r = 5 into f'(r), we get:

f'(-1) = -4

f'(5) = -4

Therefore, f'(-1) = -4 and f'(5) = -4.

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a restaurant used 6.5 ounces of cheese to make 5 slices of pizza. if each slice had the same amount of cheese, how much was on each slice?​

Answers

Answer:

1.3 ounces, 1.3*5 =6.5

Show explicitly that the following functions: (a) (x+at)², (b) 2e-(x-at) ², 7 satisfy the wave equation J²u(x, t) Ət² = (c) 5 sin[3 (x - at)] + (x + at). ₂d²u(x, t) dx²

Answers

Each satisfies the wave equation.

We are given the functions as follows:

(a) (x+at)², (b) 2e-(x-at) ², 7 satisfy the wave equation J²u(x, t) Ət² = (c) 5 sin[3 (x - at)] + (x + at).

₂d²u(x, t) dx²

Let us prove that they satisfy the wave equation using the formula of the wave equation. Wave equation is given by;

J²u(x, t) Ət² = ₂d²u(x, t) dx²

Applying the partial derivative to

(a) with respect to time, t, we obtain:

2a(x+at)

The second partial derivative with respect to x is as follows:

2a

By substituting these results into the wave equation, we have:

J²u(x, t) Ət² = ₂d²u(x, t) dx²

(2a(x+at)) = 2aJ²u(x, t) Ət² = 2a

Ət² = 1/J².

Thus, (a) satisfies the wave equation.  

For part (b), let us begin by taking the partial derivative of the function with respect to time, t. This is given by:

-4a e^-(x-at) ²

By taking the second partial derivative with respect to x, we get:4a e^-(x-at) ²

Similar to above, we substitute these results into the wave equation as follows:

J²u(x, t) Ət² = ₂d²u(x, t) dx²

-4a e^-(x-at) ² = 4aJ²u(x, t) Ət² = -4a e^-(x-at) ²/J²

Ət² = -1/J²e^-(x-at) ².

Thus, (b) satisfies the wave equation.

For part (c), let us calculate the partial derivative with respect to t as follows:

5a cos[3(x-at)] + a

The second partial derivative with respect to x is given by:-

15a sin[3(x-at)]

By substituting these results into the wave equation, we have:

J²u(x, t) Ət² = ₂d²u(x, t) dx²

(5a cos[3(x-at)] + a) = -15a

sin[3(x-at)]J²u(x, t) Ət² = -15a

sin[3(x-at)]/(5a cos[3(x-at)] + a)

Ət² = -3 sin[3(x-at)]/(cos[3(x-at)] + 1/5).

Thus, (c) satisfies the wave equation.

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i need the prosces plis is for tomorrow

Answers

Answer:

p) = 17/30 or 0.56

q) = 191/60 or 3 11/60

Compare lengths. Select >, <, or = .
900 cm _ 9 m

Answers

Answer:

900 cm = 9 m

Step-by-step explanation:

9 m = 900 cm

Therefore, 9 m equals 900 cm.

A sofa is 7 feet 5 inches long. How many inches is the sofa?

Answers

89 inches!

Because each foot is 12 inches and 12*7=84 and 84+5=89!

The table shows the scores of students recent test. Find the mean of the scores and round to the nearest hundredth

Answers

Answer:

Answer and work is in the pdf

Step-by-step explanation:

75+75+80+80+80+80+80+80+85+85+90+90+90+90+90+90+95+95+95+100+100+100+100+100+100

=2,425

2+6+2+6+3+8

=27

2,425/27=89.81

The mean is 89.81

PLEASE HELP!! I'll make brainliest ​

Answers

Sorry people send you links instead of actually helping you

Yasmin ordered 20 sandwiches for the STEM club's after school meeting. Some were turkey and some were ham sandwiches. Turkey sandwiches cost $5.50 and ham costs $4.50. The total bill was $97. How many turkey sandwiches were ordered?

Answers

7 TURKEY AND 13 HAM

I USED CALCULATOR BTW

Liz flips a coin 80 times. The coin lands heads up 32 times and tails up 48 times. Complete each statement. The theoretical probability of the coin landing heads up is 50​%. ​(Type an integer or a​ decimal.) Based on​ Liz's results, the experimental probability of the coin landing heads up is

Answers

Answer:

40%

Step-by-step explanation:

Answer: 50, 60, Less.

Step-by-step explanation: The theoretical probability of the coin landing heads up is 50%

Based on​ Liz's results, the experimental probability of the coin landing heads up is 60

The theoretical probability is less than the experimental probability in this experiment.

Hope this helped have a nice day!

At a birthday party pizzas and sodas were purchased for the kids. The number of sodas bought was two more than three times the number of pizzas. Pizzas cost $9.50 each and sodas cost $1.25 each. (ANSWER A AND B PLEASEEEEEEE I REALLY NEED HELP!!!!)

A). If 8 pizzas were bought, how many sodas were bought?

B). How much was the total money would be spent on the pizza and sodas from (A)?

THANK YOU SOOOOO MUCH!!!! :))))))

Answers

Answer:

61

Step-by-step explanation:

Givens

Let the pizzas = x

Let the sodas = y

Equation

y = 3x + 2

Part A

y = 3*8 + 2

y = 24 + 2

y = 26

Part B

Sodas = 26* 1.25 = 32.50

Pizzas =9.50 * 3  = 28.50

Total for both = 32.50 + 28.50 = 61

pleaseeeeeeeeeeee heeellllpppppppp i’ll mark u

Answers

Answer:

Add up all of the numbers, and divide by the number of digits. To put it another way, the total is divided by the count.

Step-by-step explanation:

so ... 2,4,4,2

2+4+4+2= 12

12 divided by 4=3

i think 3 is the mean....

hope this helps.....

i need help please thanks​

Answers

Answer:

33

Step-by-step explanation:

6 * 3 = 18

8-3 = h

h = 5

A = 5 * 3 = 15

Combined:

15 + 18

33

Which of the following are among the five basic postulates of Euclidean geometry? Check all that apply.

A. All circles have 360 degrees
B. A straight line segment can be drawn between any two points.
C. A straightedge and compass can be used to create a triangle.
D. Any straight line segment can be extended indefinitely.

Answers

Answer:

B and D.

Step-by-step explanation:

A p e x

The following are among the five basic postulates of Euclidean geometry

A straight line segment can be drawn between any two points.Any straight line segment can be extended indefinitely.

The five basic postulates of Euclidean geometry

The five (5) basic postulates are:

Any segment of a straight line connecting any two points can be drawn.You can draw and stretch any straight line to any finite length.Given a centre and radius, circles are drawn.Congruent angles are always right angles.There is a line that is parallel to the given line if a given point is not on the supplied line.

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Michael's dog stands 10 feet from a table, and notices a plate resting on the edge of the table. The height from the ground to the top of the table is 4 feet, and his dog's eyes are 1 foot above the ground. What is the angle of elevation from Michael's dog to the plate? Round your answer to the nearest whole degree.​

Answers

Answer:

The angle of elevation is 17°.

Step-by-step explanation:

Let's draw the scenario to better understand the problem:

Focusing on the right triangle formed, it appears that we get measures of the two sides of the right triangles.

Opposite Side = 3 Ft.

Adjacent Side = 10 Ft.

To find the angle of elevation, we will be using the Targent Function:

[tex]targent \: 0 = \frac{opposite \: side}{adjacent \: side} \\ targent \: 0 = \frac{3}{10} \\ 0 = {targent}^{ - 1} ( \frac{3}{10} ) \\ 0 = 16.69924423399 = 17[/tex]

Therefore, the angle of elevation is 17°.

What is the area of a parallelogram that has a base of 4 ½ inc. and a height of 2 ¼ in. ?

Answers

Answer:

4.5

Step-by-step explanation:

4.5 is the answer Bc I dived

Please help and explain, please no links, thank you

Answers

Answer:

The two triangles are related by angles, so the triangles are similar but not proven to be congruent.

Step-by-step explanation:

Because the triangles have the same angles, they are congruent. The definition of congruence is if you take a shape and scale it up or down (or keep it the same) therefore, they are congruent.

Hope this helped, have a nice day

EDIT: I screwed up, I thought it was supposed to be similar.  These triangles are SIMILAR not congruent. The actual answer is they are related by AAA similarity but they are similar, but they are not proven to be congruent. Hope this clears it up, and sorry.

~cloud

Given the functions f(n)=11 and g(n)=((3)/(4))^(n-1), combine them to create a geometric sequence, a_(n), and solve for the 9 th term.

Answers

The given functions f(n) = 11 and g(n) = (3/4)^(n-1) can be combined to create a geometric sequence. The nth term of a geometric sequence is given by a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio. In this case, the first term is given as 11, and the common ratio is (3/4).

The nth term of a geometric sequence is calculated using the formula a_n = a_1 * r^(n-1), where a_1 is the first term, r is the common ratio, and n is the position of the term. By substituting the values into the formula, we can find the 9th term.

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The number of bagels sold daily for two bakeries is shown in the table.

Bakery A Bakery B
53 34
52 40
50 36
48 38
53 41
47 44
55 40
51 39

Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Why? Select the correct answer below. (5 points)

Mean for both bakeries because the data is symmetric
Mean for Bakery B because the data is symmetric; Median for Bakery A because the data is not symmetric
Mean for Bakery A because the data is symmetric; Median for Bakery B because the data is not symmetric
Median for both bakeries because the data is not symmetric

Answers

Answer:

“Mean for both bakeries because the data is symmetric.”

Step-by-step explanation:

This is correct because the numbers shown in this problem is all in the same range. Meaning that on bakery A and B there are no stray numbers, also known as outliers. No outliers means that the data is symmetric. If you search up, you can see that when the data is symmetric, you use “mean.”

also I got it right on my test

Answer:

Mean for both bakeries because the data is symmetric.

Step-by-step explanation:

A helicopter hovers 1150 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 39° How far off the coast to the nearest foot is island?

Answers

tan 39 = 1150/D (Opposite/Adjacent)
D = 1420 ft


Find the equation in slope-intercept form for the line with a slope of 5/4 and passes through the point (8, 2)

Answers

Answer:

92/37

Step-by-step explanation:

Given the points A(-2, 0), B(6, 16), C(1, 4), D(5, 4), E(2,2)2
​,2
​)), and F(32,−4232
​,−42
​), find the position vector equal to the following vectors.
AB⃗
AB

Answers

This indicates that vector 2AB has a length of 165.

Given the points A(-2, 0), B(6, 16), C(1, 4), D(5, 4), and E, let's determine the length of the vector 2AB. To begin, we must determine the distance that separates points A and B. The distance formula is as follows: Equation for distance: We can calculate d as [(x2 - x1)2 + (y2 - y1)2] using the distance formula: Spot = [(6 - (- 2))2 + (16 - 0)2] = [(6 + 2)2 + (16)2] = [(8)2 + (16)2] = [(64 + 256) = 320 = 8] Now, we can deduct the directions of point A from guide B toward decide the vector Stomach muscle:

To find 2AB, simply multiply each part of AB by 2: AB = (6 - (-2)i + (16 - 0)j = 8i + 16j 2AB = 2(8i + 16j) = 16i + 32j. Last but not least, we must ascertain the magnitude of 2AB. The extent recipe is as per the following: Size formula: Using the magnitude formula, we get: ||v|| = (v12 + v22). ||2AB|| = (162 + 322) = (256 + 1024) = (1280 + 165). This indicates that vector 2AB has a length of 165.

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Seth is using a large shoe box to store his baseball cards. The length of the box is 12 inches, and the height is 6 inches. If the volume of Seth's box is 288 cubic inches, how wide is the box?

Answers

Step-by-step explanation: *First, decide which volume formula to use:     v = lwh

*Next, substitute in for what you do know (leave variable for unknown):  288 = 12 · w · 6

*Then simplify the side of the equation with the variable: 288 = 72 · w

*Now divide each side of the equation by 72 to solve for w:

288 ÷ 72 = w

4 in = w

trigonometry question

Answers

Answer:

Step-by-step explanation:

x = 87.2ft

Hope that helps :)

BRAINLY TO WHOEVER HELPS AND GETS IT RIGHT

~no links pls~

Answers

Answer: A

Step-by-step explanation:

Answer is A. 25

Step by step explanation

Let hypotenuse be h
h^2=24^2+7^2
h^2=625
h=25

Which correctly describes this rotation?
A. a counterclockwise rotation of 30° about point A
B. a counterclockwise rotation of 45° about point A
c. a counterclockwise rotation of 90° about point A
D. a counterclockwise rotation of 180° about point A

Answers

A counterclockwise rotation of 180 about point A

Patrick left an $7 tip on a $53 restaurant bill. What percent tip is that?

Answers

The percent tip is 13.2%.

To find out what percentage Patrick gave as tip, we need to divide the tip amount by the total bill amount and then convert the result into a percentage.

For this question:

Patrick left an $7 tip on a $53 restaurant bill. What percent tip is that?

Solution:The percentage of tip can be found using the following formula:

% = (Tip amount / Total bill amount) x 100

Plugging in the given values we get:

% = (7 / 53) x 100% = 0.132 x 100% = 13.2 %

Therefore, Patrick gave a 13.2% tip on his restaurant bill.

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A wheel of the given radius is rotating at the indicated rate. radius 9 in., 2100 rpm (a) Find the angular speed (in radians per minute). radians per minute (b) Find the linear speed of a point on the circumference (in ft/min). (Round your answer to the nearest whole number.) ft/min

Answers

The linear speed of a point on the circumference is approximately 9895 feet per minute.

(a) To find the angular speed in radians per minute, we need to convert the given rotational speed from rpm (revolutions per minute) to radians per minute. Since there are 2π radians in one revolution, we can use the conversion factor:

Angular speed (in radians per minute) = Rotational speed (in rpm) * 2π

Given that the rotational speed is 2100 rpm, we can calculate the angular speed:

Angular speed = 2100 rpm * 2π ≈ 13194 radians per minute

Therefore, the angular speed of the wheel is approximately 13194 radians per minute.

(b) To find the linear speed of a point on the circumference in feet per minute, we can use the formula:

Linear speed = Angular speed * Radius

Given that the radius of the wheel is 9 inches, we need to convert it to feet:

Radius = 9 inches * (1 foot / 12 inches) = 0.75 feet

Now, we can calculate the linear speed:

Linear speed = 13194 radians per minute * 0.75 feet ≈ 9895 feet per minute

Therefore, the linear speed of a point on the circumference is approximately 9895 feet per minute.

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Reagan rides on a playground roundabout with a radius of2.5 feet. To the nearest foot, how far does Reagan travel over an angle of 4π/3 radians?

Answers

Answer:

10 feets

Step-by-step explanation:

Given that:

Angle, θ = 4π/3

Radius, r = 2.5 feets

To obtain how Far Reagan traveled, we calculate the Length of the arc, s

s = r*θ

s = 2.5 feets * 4π/3

s = 10π/3

s = 10.4719

To the nearest foot ; distance traveled by Reagan is 10 feets

Similar Polygons
DEFG is similar to HJKL. What is the length of LK?

A) 5
B)21
C) 80/3
D) 60

Answers

Answer:

I think it's 21. .........

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Suppose the passenger load factor had increased from 56.6% to 57.6%; compute the increase in operating income that would have been attained. what type of meal would a long-distance runner or swimmer want to eat the night before a grueling race? explain your choices in terms of energy. Stone Cold Brew is a successful brewery engaged in the development and production of specialty micro brews. It uses manufacturing cost hierarchy to allocate costs to various activities.During the past year, it has incurred:CostDescription$725,000Product development costs$475,000Materials handling costs$1,250,000Production line labor costs$450,000Production setup costs$250,00Power costs (for cooling beer and running equipment)$875,000Manufacturing facility management costsUsing the manufacturing cost hierarchy, what is the total cost that would be classified as product-level activity costs?Select one:A. $ 460,000B. $ 725,000C. $1,825,000D. $1,250,000B. $ 725,000C. $1,825,000D. $1,250,000 (A) Jane has developed some very successful software products for her employer, a building design company, but does not think she has been rewarded sufficiently. She has decided to set up her own company to create and develop similar bespoke computer software to deal with building design. To assist her, Jane wishes to employ an old friend Peter, and also to engage a software consultant (who is based in Switzerland and who will work remotely) on a freelance basis. What IP ownership issues should Jane be aware of and what contractual provisions should Jane include in: (i) Peters contract of employment; (ii) the consultants contract; and (iii) the software development contracts with her companys customers.(B) Is it true to say that the most effective way to deal with a contractual dispute where the contract focus is on intellectual property rights is by arbitration rather than litigation? ECOTOXICOLOGY1. compare and contract the dilution paradigm and boomeragparadigm with examples2. Does dilution paradigm conflict with the boomerag paradigmand explain your answer with examples if you were measuring the concentration of whiteamericans using a dot density map, which threshold wouldput the most visual emphasis on those whites living in ruralareas?