The equation of line a is y=12x−1, and it passes through point (6,2).
Line b is perpendicular to line a, and it passes through point (−6,2).
A: What is the slope of line b?
B: What is the y-intercept of line b?

Answers

Answer 1

Answer:

A). slope = -1/12         y-intercept = 3/2

Step-by-step explanation:

y = -1/12x + b

2 = -1/12(-6) + b

2 = 1/2 + b

3/2 = b

y = -1/12x + 3/2


Related Questions

How many 20 can lengths of a pipe can be cut from a pipe 8.7 m long?

Answers

Answer:

(8.7×100)cm=870cm

870cm/20cm=43.5

so 43 20cm can be cut

What is the value of d?
A.100 B.84 C.50 D.80

Answers

Answer:

A. 100

Step-by-step explanation:

84

Step-by-step explanation:

c + 100 =180

c=180-100

c=80

100+96+d+c=360

100+96+d+80=360

276+d=360

d=360-276

d=84

find the slope of the line 3x-5y =0

Answers

Answer:

slope= ⅗

Step-by-step explanation:

Rewrite the equation into the slope-intercept form, y=mx +c, where m is the gradient and c is the y-intercept.

3x- 5y= 0

+5y on both sides of the equation:

5y= 3x

Divide both sides by 5:

y= ⅗x

From the coefficient of x, the slope of the line is .

A standard six-sided die is rolled $6$ times. You are told that among the rolls, there was one $1,$ two $2$'s, and three $3$'s. How many possible sequences of rolls could there have been? (For example, $3,2,3,1,3,2$ is one possible sequence.)

Answers

Answer:

Step-by-step explanation:

Answer:

Sequence = 120

Step-by-step explanation:

Given

6 rolls of a die;

Required

Determine the possible sequence of rolls

From the question, we understand that there were three possible outcomes when the die was rolled;

The outcomes are either of the following faces: 1, 2 and 3

Total Number of rolls = 6

Possible number of outcomes = 3

The possible sequence of rolls is then calculated by dividing the factorial of the above parameters as follows;

Sequence = \frac{6!}{3!}

Sequence = \frac{6 * 5 * 4* 3!}{3!}

Sequence = 6 * 5 * 4

Sequence = 120

Hence, there are 120 possible sequence.

Step-by-step explanation:

Hope this helps

What is the first step in solving the following systrm of equations?
3x + y = 23 and 8x + 2y = 23
A. Substitute the value of y from one equation into the other equation
B. Solve the first equation for y
C. Subtract the second equation from the first equation
D. Substitute the value of x from one equation into the other equation ​

Answers

Hello!

{3x + y = 23 _ {y = 23 - 3x

{8x + 2y = 23 {8x + 2(23 - 3x)

The answer is A.

Good luck! :)

I dont understand what to do?

Answers

Answer:

a) 122°

b) 37°

Step-by-step explanation:

a) supplement angle of 58° = 180° - 58° =122°

b) complement angle of 53° = 90° - 53° = 37°

Is the line that passes through the points A(0,1) and B(2,5) parallel to the line that passes through the points C(0,7) and D(4,15)?
Find the slope at AB

Answers

Answer:

Slope of AB = 2

Slope of CD = 2

equal slopes means the lines are parallel

Step-by-step explanation:

Use slope formula

m = [tex]\frac{(y_{2} -y_{1} )}{(x_{2} -x_{1} )}[/tex]

line AB = [tex]\frac{(5-1)}{(2-0)}[/tex] = [tex]\frac{4}{2}[/tex] = 2

line CD - [tex]\frac{(15-7)}{(4-0)}[/tex] = [tex]\frac{8}{4}[/tex] = 2

Find the integral of x(4x² + 1) from 0 to 2. a. 18 c. 22 b. 16 d. 20

Answers

Answer:

a. 18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Calculus

Integrals

Definite Integrals

Integration Rule [Reverse Power Rule]:                                                                      [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                        [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:                                                             [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                           [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int\limits^2_0 {x(4x^2 + 1)} \, dx[/tex]

Step 2: Integrate

[Integrand] Distribute x [Distributive Property]:                                              [tex]\displaystyle \int\limits^2_0 {(4x^3 + x)} \, dx[/tex]Rewrite Integral [Integration Property - Addition/Subtraction]:                     [tex]\displaystyle \int\limits^2_0 {4x^3} \, dx + \int\limits^2_0 {x} \, dx[/tex]Rewrite 1st Integral [Integration Property - Multiplied Constant]:                 [tex]\displaystyle 4\int\limits^2_0 {x^3} \, dx + \int\limits^2_0 {x} \, dx[/tex][Integrals] Reverse Power Rule:                                                                      [tex]\displaystyle 4(\frac{x^4}{4}) \bigg| \limits^2_0 + (\frac{x^2}{2}) \bigg| \limits^2_0[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:              [tex]\displaystyle 4(4) + 2[/tex]Evaluate:                                                                                                           [tex]\displaystyle 18[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

What is 6 1/3 divied by 1/6

Answers

Answer:

38

Step-by-step explanation:

6⅓÷⅙

change 6⅓ to improper fraction

19/3÷1/6

keep the first fraction, change the division sign to multiplication and reciprocate/flip the second fraction

19/3× 6/1

the denominator 3 and numerator 6 will simplify/cancel each other

the new fraction is now: 19/1 × 2/1

there is no need to multiply the denominators because it will still be equal to 1 so we just need to multiply the numerators by each other

19×2=38 OR 38/1 (both answers are the same)

أريد أن أجد طريقة لإيجاد ارتفاع المخروط عن طريق معرفة قطره ومساحته . بليز أرجو الرد . ​

Answers

Answer:

سأعطي فقط مثالاً مقدمًا أدناه آمل أن يساعد

Step-by-step explanation:

الارتفاع = 24 سم

نصف القطر = 14 ÷ 2 = 7 سم

ارتفاع مائل = L =؟

L2 = R2 + H2

م 2 = 72 +242

م 2 = 49 + 576

م 2 = 625

L = 25

الحجم = 1 ÷ 3 × 22 ÷ 7 × 7 × 24

الحجم = 1232 سم

مساحة السطح المنحني = 22 × 7 × 7 × 25

مساحة السطح المنحني = 550

إجمالي مساحة السطح = 22 × 7 × 7 × 25 + 7

مساحة السطح الكلية = 704 سم

يرجى وضع علامة لي على أنه أذكى

Quadrilateral ABCD is a rectangle. FindBD ifAO = 6x - 22 and OC = 2x + 6.

40 units
20 units
7 units
10 units

Answers

The answer would be 40 because
6x-22=2x+6
4x-22=6
4x=28
X=7

So plug 7 in instead of x for both AO and OC
6(7)-22=20
2(7)+6=20

20+20=40
And since it’s the same answer for both sides the answer is 40

prove that . 1+cot2 theta = cosec2theta​

Answers

Answer:

see explanation

Step-by-step explanation:

Using the Pythagorean identity

sin²θ + cos²θ = 1 ( divide terms by sin²θ )

[tex]\frac{sin^20}{sin^20}[/tex] + [tex]\frac{cos^20}{sin^20}[/tex] = [tex]\frac{1}{sin^20}[/tex] , that is

1 + cot²θ = cosec²θ ← as required

Question 2 of 10
The graph of g(x), shown below, resembles the graph of f(x) = x - x2, but it
has been changed somewhat. Which of the following could be the equation
of g(x)?

Answers

Answer:

option C is correct

x^4 - x^2 - 2.5

If we add any constant c in the function then it gets shifted upward by the c unit. Then the function g(x) is above the function f(x) by 2.5 units.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable.

Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The functions are g(x) and f(x) are given below.

f(x) = x⁴-x²

g(x) = x⁴-x²+2.5

We know that if we add any constant c in the function then it gets shifted upward by the c unit.

The graph is shown.

More about the function link is given below.

brainly.com/question/5245372

#SPJ7

Can someone help me with this math homework please!

Answers

Answer:

option 3. (4, -2)

Step-by-step explanation:

For a relation to be a function there should be exactly one output value for a given input.

In the given relation :-

4 has 2 outputs, -2 and 2, so if we remove the pair (4, -2) 4 will have only one output value ,i. e., 2. And hence the relation will be a function.

So the answer is option 3. (4, -2)

Which transformations could be performed to show that △ABC is similar to △A"B"C"?

a reflection over the x-axis, then a dilation by a scale factor of 3
a reflection over the x-axis, then a dilation by a scale factor of One-third
a 180° rotation about the origin, then a dilation by a scale factor of 3
a 180° rotation about the origin, then a dilation by a scale factor of One-third

Answers

Answer:

A 180° rotation of then a dilation by a scale factor of one-third

Step-by-step explanation:

The coordinates of the vertices of ΔABC are;

A(-9, 3), B(-9, 6), and C(0, 3)

The coordinates of the vertices of ΔA'B'C' are;

A'(3, -1), B'(3, -2), and C'(0, -1)

We note that for a 180° rotation transformation about the origin, we get;

Coordinates of preimage = (x, y)

Coordinates of image after 180° rotation about the origin = (-x, -y)

Therefore, a 180° rotation of ΔABC about the origin, would give ΔA''B''C'' as follows;

A(-9, 3), B(-9, 6), and C(0, 3) = A''(9, -3), B''(9, -6), and C''(0, -3)

The formula for a dilation of a point about the origin is given as follows;

[tex]D_{O, \, k} (x, \, y) = (k\cdot x, \, k\cdot y)[/tex]

Where;

k =The scale factor = 1/3, (one-third) we have;

A dilation of ΔA''B''C'', by a scale factor of 1/3, we get ΔA'B'C' as follows;

[tex]D_{O, \, \frac{1}{3} } A''(9, \, -3) = A'(\frac{1}{3} \times 9, \, \frac{1}{3} \times -3) = A'(3, -1)[/tex]

[tex]D_{O, \, \frac{1}{3} } B''(9, \, -6) = B'(\frac{1}{3} \times 9, \, \frac{1}{3} \times -6) = A'(3, -2)[/tex]

[tex]D_{O, \, \frac{1}{3} } C''(0, \, -3) = C'(\frac{1}{3} \times 0, \, \frac{1}{3} \times -3) = C'(0, -1)[/tex]

The coordinates of the vertices of ΔA'B'C' are A'(3, -1), B'(3, -2), and C'(0, -1), which is the same as the required coordinates of the image;

Therefore, the transformation that can be performed to show that ΔABC and ΔA'B'C' are similar are rotating ΔABC by 180°  then a dilating the image derived after rotation by a scale factor of one-third (1/3) we get ΔA'B'C'.

Answer:

D

Step-by-step explanation:

Harvey has a 5- gallon container of gasoline to fill all of his small engne tanks. He uses 1/2 gallon of the gasoline to fill each small engine tank he owns. How many small engine tanks does Harvey own? (give a reason) who ever helps me thank you

Answers

Answer:

10

Step-by-step explanation:

the small engine tanks that Harvey have = 5 ÷ ½ = 10

How to find the frequency in a histogram

Answers

Answer:Para preparar la tabla de frecuencia para un histograma, es necesario primero establecer el número de intervalos que se desea tener.

Luego, se debe determinar el ancho común de los intervalos (interval width). Para esto, se calcula la diferencia del dato mayor y el dato menor, y se divide entre el número de intervalos deseados. Este resultado se redondea al entero mayor más cercano.

Por ejemplo, si se desea tener 10 intervalos y encontramos que el dato mayor es 35 y el menor es 12,

Step-by-step explanation:

Express the following the number indecimal
form - 25
36​

Answers

Answer:

0.6944

Step-by-step explanation:

25/36 is 0.6944 in division

Using the figure below, find the value of x. Enter your answer as a simplified radical or improper fraction (if necessary) into the equation box below.

Answers

Hello,

M=middle[AB]

The triangle ABC is equilateral :

x= 15/2

It would be great if someone could help me with this problem

Answers

y-intercept (0, 1)
Equation of asymptote y=0

Equation of asymptote can also be called horizontal asymptote.
It means the place where the line almost meets but actually not touching the place. The line almost touches y=0 but it actually does not touch it.

determine which statement or statements are true. If none write “none”.

By accident I circled D for question 1 and C for question 2 I’m not sure if they are correct. But if anybody can help me with 1-3 that will be a life saver!!!

THANK UUUUUU

Answers

Answer:

number 1 is C number 2 is A and number 3 is D

Step-by-step explanation:

Answer:

yeah

Step-by-step explanation:

whats the function for y=-4x+3

Answers

Answer:

the function for y=-4x+3

= soln,

y=mx+b"

Which of the following has the same ratio as sin A?

Answers

Cos B
SOH CAH TOA
Sin: opposite/hypotenuse
Cos: adjacent/hypotenuse
Tan: opposite/ adjacent

Find the length of PL


A. 23
B. 19
C. 30
D. 46

Answers

The answer is B) 19.


[tex]solve : - \\ \\ (10 {}^{2} - 6 {}^{2} ) = {?}[/tex]

Answers

[tex]\longrightarrow{\blue{64}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] = (10 {}^{2} - 6 {}^{2} ) [/tex]

[tex] = [(10 \times 10) - (6 \times 6)][/tex]

[tex] = (10 0- 36)[/tex]

[tex] = 64[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]

The answer will be 64

In the given figure, ∠QPR = ?

Answers

Answer:

QPR=PRS(Being alternative Angel)

HELP ME PLSSSSSSS!!!!!!!!!

Answers

Domain of the function

[-3,5)

In 2005, there were 1000 rabbits on an island. The population grows 8% per year. AT this rate, how many
rabbits will there be on the island by 2020?

Answers

Answer: 3172

Step-by-step explanation:


Pls answer 13 b ill mark u brainlist

Answers

Answer:

7 students

Step-by-step explanation:

1+2+4=7students

The tables below show the values of y corresponding to different values of x: Table A x 3 3 2 y 1 0 0 Table B x 3 5 5 y −2 2 −2 Which statement is true for the tables? (1 point) Both Table A and Table B represent functions. Both Table A and Table B do not represent functions. Table A does not represent a function, but Table B represents a function. Table A represents a function, but Table B does not represent a function.

Answers

Answer:

is it possable you can show the graph

Step-by-step explanation:

Answer:

2nd option ,that is, Both tables do not represent a function.

Step-by-step explanation:

For a table to represent a function it's input value must correspond to exactly one output value.

As in Table A the input value of 3 corresponds to 2 different outputs, where

as in table B the input value of 5 corresponds to 2 different outputs.

x is taken as the input and y is taken as output for both the tables.

Therefore, Both tables dobnot represent a function.

Other Questions
(a) Write [tex] {2}^{5} \div {2}^{5} [/tex]as a single power if 2. Geometry homework I need help pls pls pls Which elements cause the catastrophe in ActsceneRomeo and Juliet? Select 3 options.D Romeo mistakenly believes Juliet is dead when he sees her lying in the tomb.O The prince scolds both the Capulet and Montague families for their behavior.D Juliet acts rashly after she awakens and finds Romeo's lifeless body next to her.Friar Laurence does not reach Romeo in time to tell him that Juliet is alive.D Romeo writes a letter to Balthasar explaining his decision that he shows to the families. ko If a and b are positive numbers, find the maximum value of f(x) = x^a(2 x)^b on the interval 0 x 2. can i get some help please three consequences of HIV and aids on the individual and community how to learn english well? On January 2, 2021, Cullumber Hospital purchased a $106,000 special radiology scanner from Bella Inc. The scanner had a useful life of 4 years and was estimated to have no disposal value at the end of its useful life. The straight-line method of depreciation is used on this scanner. Annual operating costs with this scanner are $104,000. Approximately one year later, the hospital is approached by Dyno Technology salesperson, Jacob Cullen, who indicated that purchasing the scanner in 2021 from Bella Inc. was a mistake. He points out that Dyno has a scanner that will save Cullumber Hospital $25,000 a year in operating expenses over its 3-year useful life. Jacob notes that the new scanner will cost $110,000 and has the same capabilities as the scanner purchased last year. The hospital agrees that both scanners are of equal quality. The new scanner will have no disposal value. Jacob agrees to buy the old scanner from Cullumber Hospital for $57,500.(a) Your answer is correct. If Twilight Hospital sells its old scanner on January 2, 2022, compute the gain or loss on the sale. (b) Prepare an incremental analysis of Twilight Hospital. (Enter negative amounts using either a negative sign preceding the number e.g. -45 or parentheses e.g. (45).) Should Twilight Hospital purchase the new scanner on January 2, 2022? What is the plan of action used by management to identify how resources will be allocated, how the company will market in its competitive environment, and how the firm will attain its goals? The United States is located south of Canada and north of Mexico. This is anexample of what?A. absolute locationB. relative locationC. zip codeD. road intersections Who can do 20 assignments in math for me rn needs to b finish in 5 hours? A system must include _______.A.an input, an output and a process.B.something to do with a form of transport.C.a microprocessor.D.fuel, water and electricity. Which set of terms best describes a community of fishers who live on abayou in southern Louisiana and use specialized boating equipment?A. Rural, low density, advanced technologyB. Low income, urban, high densityC. High income, rural, high densityD. Middle income, urban, low technology READING TOOL Sequence of Events List in order the parts of a typical experiment that usesscientific methodology. Use the headings in your text as a guide. ? ( ) Whats an example of personification NO copy and paste what is an example of a quintic bionomial? (a) What kind of energy is possessed by an aeroplane flying at a height of 10000 m? Which of the following terms is the lifecycle of a living cell?A. g1B. cell cycleC. interphaseD. mitosis How would a Kantian deontologist evaluate lying? a.) It is morally wrong because if everyone did it, nobody could be trusted anymore. b.) It is morally wrong because a person with good intentions cannot lie. c.) It is morally right because it can have good effects. d.) It is morally right when it is done to respect another's feelings.