please help. i need part b on 66, 68 and 70!

Please Help. I Need Part B On 66, 68 And 70!

Answers

Answer 1

Step-by-step explanation:

Use the function to find the coordinates of the endpoints.  Find the slope between those points, then use point-slope form to write the equation.  If you wish, you can simplify to slope-intercept form.

For example, #66:

f(2) = -4(2) + 1 = -7

f(5) = -4(5) + 1 = -19

So the endpoints of the secant line are (2, -7) and (5, -19).  The slope between those lines is:

m = (-19 − (-7)) / (5 − 2)

m = -12 / 3

m = -4

The equation of the line in point-slope form is:

y − (-7) = -4 (x − 2)

y + 7 = -4 (x − 2)

Simplifying:

y + 7 = -4x + 8

y = -4x + 1

f(x) is a line, so unsurprisingly, the secant line connecting two points on that line has the same equation.

Let's try #68:

g(2) = (-1)² + 1 = 2

g(5) = (2)² + 1 = 5

So the endpoints of the secant line are (-1, 2) and (2, 5).  The slope between those lines is:

m = (5 − 2) / (2 − (-1))

m = 3 / 3

m = 1

The equation of the line in point-slope form is:

y − 2 = 1 (x − (-1))

y − 2 = x + 1

Simplifying:

y = x + 3


Related Questions

Sharonda is plotting quadrilateral PQRS on the graph below. She will plot the fourth and
final vertex, S, at (9,5). What will be the length of side PS?

Answers

Answer:

11 units

Step-by-step explanation:

Length of side PS can be calculated using the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] P(-2, 5) = (x_1, y_1) [/tex] (the coordinate of P is gotten from the graph)

[tex] S(9, 5) = (x_2, y_2) [/tex] (given)

[tex] PS = \sqrt{(9 - (-2))^2 + (5 - 5)^2} [/tex]

[tex] PS = \sqrt{(11)^2 + (0)^2} [/tex]

[tex] PS = \sqrt{121} = 11 units [/tex]

Use the figure to answer the question.
9 cm
10 cm
18 cm
9 cm
4 cm
10 cm
What is the volume of the figure? Enter the answer in the box.
cubic centimeters

Answers

Answer:

1,530 cm³

Step-by-step explanation:

The figure consists of two rectangular prism or cuboid.

The dimension of cuboid 1:

[tex] l = 10cm, w = 9cm, h = 9cm [/tex]

[tex] Volume_1 = l*w*h = 10*9*9 = 810 cm^3 [/tex]

The dimension of cuboid 2:

[tex] l = 18cm, w = 10cm, h = 4cm [/tex]

[tex] Volume_2 = l*w*h = 18*10*4 = 720 cm^3 [/tex]

Volume of the figure = 810 + 720 = 1,530 cm³

Answer: 1,530

Step-by-step explanation:

a college admissions office collects data from each incoming freshman on several quantitative variables distance from their home to campus, number of siblings, how many books they have read in the past month and how long it took them to complete an online survey. classify each variable as discrete or continuous

Answers

Answer:

1) Distance from their home to campus → Continuous

2) The number of siblings → Discrete

3) How many books they have read in the past month → Discrete

4) How long it took them to complete an online survey → Continuous

Step-by-step explanation:

A discrete variable is a variable with a constant value which is found to be accurate by counting of articles in the subject.

Examples of discrete variables are the amount of money in a person's pocket, the number of people in a bus

A continuous variable is one that is a variable that if it is possible for the variable  to have values between two values, then the variable can have any of the values in between the two values

Example of a continuous variable are

The Height of people within a building

The distance traveled to a location.

Therefore, we have the following classification of the data is given as follows;

1) from their home to campus is a Continuous variable

2) The number of siblings is a  Discrete variable

3) How many books they have read in the past month is a Discrete variable

4) How long it took them to complete an online survey is a Continuous variable.

Write a word phrase for the algebraic expression: d/5 + 2 A)The difference between the quotient of d and 5 and 2 B)The sum of 2 and the product of d and 5 C)The difference between 2 and the product of d and 5 D)The sum of the quotient of d and 5 and 2 ANSWER QUICK

Answers

Answer:

My answer to the question is option D

What is the value of w?

2/5 (w+5) = 4/5

Answers

Answer:

W = -3

Step-by-step explanation:

Answer:

w = - 3

Step-by-step explanation:

Given

[tex]\frac{2}{5}[/tex] (w + 5) = [tex]\frac{4}{5}[/tex]

Multiply both sides by 5 to clear the fractions

2(w + 5) = 4 ( divide both sides by 2 )

w + 5 = 2 ( subtract 5 from both sides )

w = - 3

Simplify 24y^7z^3/6yz^6

Answers

Answer: 24x^6e^4/7ry^3

Step-by-step explanation:

in the calculations shown, what will the units of the final answer be? 18 meters/second x 3600 secons/1 hour x 1 mile/ 1609meters A.meters/hour B. miles/second C. meters/second D.miles/hour

Answers

Answer:

  D.  miles/hour

Step-by-step explanation:

The units analysis tells you the units are ...

  [tex]\dfrac{\text{m}}{\text{s}}\times\dfrac{\text{s}}{\text{h}}\times\dfrac{\text{mi}}{\text{m}}=\boxed{\dfrac{mi}{h}}[/tex]

Units of meters and seconds cancel, leaving miles/hour.

22.2 repeating percent as a decimal and fraction

Answers

Answer:

  0.222(repeating) = 2/9

Step-by-step explanation:

To convert a percentage to a decimal, divide by 100%.

  22.2%(repeating)/100% = 0.222(repeating)

__

To convert a repeating decimal to a fraction, first multiply it by 10 the the power that is equal to the number of repeating digits. Here, we have 1 repeating digit, so ...

  x = 0.222(repeating)

  10^1 · x = 10x = 2.222(repeating)

Now subtract the original. The repeating parts cancel.

  10x -x = 2.222(repeating) - 0.222 repeating = 2

  9x = 2

  x = 2/9 . . . . . divide by the coefficient of x

The decimal is 0.222(repeating).

The fraction is 2/9.

25 POINTS -4(x+2) Plz help asap

Answers

Answer:

[tex] - 4x - 8[/tex]

Step-by-step explanation:

[tex] - 4(x + 2) = - 4x - 8[/tex]

Hope this helps ;)

Answer: It's -4x- 8

Step-by-step explanation: Hope it hepls.

what is X in the equation. -38+6x = -12x+52

Answers

Answer:

x=5

Step-by-step explanation:

add 38 to to the pther side

combine 38+52=90

add 12 to the other side

12+6=18

divide 90 by 18= 5

let f(x)=x-3and h(x)=x2+6.what is (h⁰g)(1)​

Answers

Answer:

The answer is 10 .

Step-by-step explanation:

f(x) = x-3

h(x) = [tex]x^{2} +6[/tex]

Now ,

  hog(1)

=h (1-3)

=h (-2)

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

= 4+6

= 10

What is the least number divisible by 2,3,5, 9,10?

Answers

Answer:

If you mean the Lowest Common Multiple (LCM) then the answer is 30.

But if you mean the lowest number that can be divided by 2, 3, and 5 then the answer is -∞ because any given number can be divided by any number except 0.

Hoped I helped

Can I get a brainiest

Answer:

If you mean what is the smallest number divisible by 2, 3, 5, 9, and 10, then I have no idea, sorry. :'(

Step-by-step explanation:

The quotient of 64 and x

Answers

Answer:

[tex]\frac{64}{x}[/tex]  quotient means you divide

Step-by-step explanation:

Identify the missing factors:

d) 20 = (4) (?)
e) -14x = (7)(?)
f) x3 =x2 (?)

Answers

Ur solution is in the attachment.

Answer:

d)  ? = 5

e)   ? = -2x

f)    ? = x

Step-by-step explanation:

d) 20 = (4)(?)

    20/4 = ?

     5 = ?

    Check:

    20 = 4*5

e)   -14x = (7)(?)

     -14x/7 = ?

      -2x = ?

      Check:

      -14x = 7*-2x

f)    x³ =x² (?)

      x³/x² = ?

      x³⁻² = ?

      x¹ = ?

       x = ?

      Check:

     x³ = (x²)(x)      

(-5,-4) rotated 270° counterclockwise

Answers

Answer:

(4, - 5 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 270°

a point (x, y ) → (- y, x ) , thus

(- 5, - 4 ) → (4, - 5 )

make x the subject of 5(x-3) = y(4-3x)

Answers

Answer:-

5(x-3)=y(4-3x)

5x-15=4y-3xy

5x+3xy=4y+15

x(5+3y)=4y+15

x=>(4y+15)/(5+3y)

:)

Answer:

Step-by-step explanation:

5(x - 3) = y(4 - 3x)

Use distributive property

5*x - 5*3 = y*4 - y*3x

5x - 15   = 4y - 3xy

5x  = 4y -3xy + 15

5x + 3xy = 4y +15

x(5 + 3y) = 4y +15

x = [tex]\frac{4y+15}{5+3y}[/tex]

The left and right page numbers of an open book are two consecutive integers whose sum is 321
  Find these page numbers.

Answers

Answer:

160,160

Step-by-step explanation:

let the first page be X

second one be x+1

x+x+1=321

2x=320

x= 320÷2=160

pages 160 161

if the sum of a term of an ap is 2n square + 5n then find the 4th term​

Answers

Answer:

19

Step-by-step explanation

Let the sum of n terms of A.P. = Sn

the fourth term is 19 !!!!!!!

Find The Area of triangle ABC


a. 27 square units
b. 18 square units
c. 54 square units
d. 36 square units ​

Answers

Answer:

b.  area = 18 square units

Step-by-step explanation:

area of a triangle = 1/2 * base * height

area = 1/2 (6+3) + (6-2)

area = 1/2 * 9 * 4

area = 18 square units

therefore the answer is b.

Expresa en lenguaje algebraico la expresión: Dimensiones de un rectángulo en el que su largo tiene 6 metros más que el ancho.

Answers

Answer:

Expresa la expresión en lenguaje algebraico: Dimensiones de un rectángulo en el que su longitud es 6 metros más que su ancho.

Sea la longitud representada por ly el ancho por w

entonces ; l = 6 metros + w

Step-by-step explanation:

HELP PLEASE!!!!!! ONLY HAVE 40 MINUTES

Answers

Answer:

B. f(x) domain: x ≥ 1

f–1(x) range: y ≥ 1

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

Because the two functions are inverse to each other, so we all know that the domain of f(x) will be the range of and the range of f(x) will be the domain of

As can be seen from the attached photo,

f(x) extends to the right of x=1, so its domain is x ≥ 1.

<=> range is y≥ 1.

Therefore, we choose answer B

Hope it will find you well.

(I found this somewhere else)

What is the area of the triangle pls help

Answers

Answer:

Area of a triangle =1/2bh.

1/2×8×10=40cm^2.

Point U is on line segment TV. Given UV = 2, TU = 5x, and TV = 3x + 6,
determine the numerical length of TV.

Answers

Answer:

TV = 12

Step-by-step explanation:

TV = TU + UV

3x + 6 = 5x + 2

Shift the unknowns to the left, constants to the right.

3x - 5x = 2 - 6

-2x = -4

Divide both sides by -2.

x = 2

Substitute x = 2 into the equation for TV (3x + 6),

3x + 6

= 3(2) + 6

= 6 + 6

= 12

The numerical value of TV will be 12.

What is a line segment?

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that Point U is a line segment TV. Given UV = 2, TU = 5x, and TV = 3x + 6.

The numerical value of TV will be calculated as below:-

TV = TU + UV

3x + 6 = 5x + 2

Shift the unknowns to the left, and constants to the right.

3x - 5x = 2 - 6

-2x = -4

Divide both sides by -2.

x = 2

Substitute x = 2 into the equation for TV (3x + 6),

TV = 3x + 6

TV = 3(2) + 6

TV = 6 + 6

TV = 12

Therefore, the numerical value of TV will be 12.

To know more about line segments follow

brainly.com/question/3573606

#SPJ5

En un triangulo ABC, el angulo B mide 64° y el angulo C mide 72°. La bisectriz interior CD corta a la altura BH y a la bisectriz BM en P y Q respectivamente. Hallar la diferencia entre el mayor y menor angulo del triangulo PBQ.

Answers

Answer:

The difference between the greatest and the smallest angle of the triangle PBQ is 98°.

Step-by-step explanation:

The question is:

In a triangle ABC, angle B measures 64 ° and angle C measures 72°. The inner bisector CD intersects the height BH and the bisector BM at P and Q respectively. Find the difference between the greatest and the smallest angle of the triangle PBQ.

Solution:

Consider the triangle ABC.

The measure of angle A is:

angle A + angle B + angle C = 180°

angle A = 180° - angle B - angle C

             = 180° - 72° - 64°

             = 44°  

It is provided that CD and BM are bisectors.

That:

angle BCP = angle PCH = 36°

angle CBQ = angle QBD = 32°

angle BHC = 90°

Compute the measure of angle HBC as follows:

angle HBC = 180° - angle BHC + angle BCH

                  = 180° - 90° - 72°

                  = 18°

Compute the measure of angle BPC as follows:

angle BPC = 180° - angle PCB + angle CBP

                  = 180° - 18° - 36°

                  = 126°

Then the measure of angle BPQ will be:

angle BPQ = 180° - angle BPC

                  = 180° - 126°

angle BPQ = 54°

Compute the measure of angle PBQ as follows:

angle PBQ = angle B - angle QBD - angle HBC

                  = 64° - 32° - 18°

angle PBQ = 14°

Compute the measure of angle BQP as follows:

angle BQP = 180° - angle PBQ - angle BPQ

                  = 180° - 14° - 54°  

angle BQP = 112°

So, the greatest and the smallest angle of the triangle PBQ are:

angle BQP = 112°

angle PBQ = 14°

Compute the difference:

d = angle BQP - angle PBQ

  = 112° - 14°

  = 98°

Thus, the difference between the greatest and the smallest angle of the triangle PBQ is 98°.

Can someone answer this circle equation question? PLEASE SHOW STEPS

Answers

Answer:

A

Step-by-step explanation:

oh steps are here!

Answer:

a) 5

Step-by-step explanation:

2x² - 6x + 2y² + 2y = 45

Complete the square and get it in the form (x-a)² + (y -b)² = r²

2x² - 6x +  2y² + 2y  = 45

Divide the equation by 2

x² - 3x + y² + y = 45/2

x² -  3x + ? + y² + y + ?? = 45/2

? -----> (x coefficient by 2)² = (3/2)² = 9/4

?? ----> (y coefficient by 2)² = (1/2)² = 1/4

Add (9/4) & (1/4) to both sides,

x² -3x +(9/4) + y² + y + (1/4) = (45/2)+ (9/4) + (1/4)

(x - 3/2)² + (y + 1/2)² = (90/4) + (9/4) + (1/4)

[tex](x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=\frac{90+9+1}{4}\\\\\\(x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=\frac{100}{4}\\\\\\(x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=25\\\\(x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=5^{2}[/tex]

Radius  = 5

Find x if f(x) = 2x + 7 and f(x) = –1.

1 = x
-4 = x
O = x
-2 = x

Answers

The answer to this question is the second one

x=-4

Let f(x) = x2 − 8x + 5. Find f(−1).

Answers

Answer:

14

Step-by-step explanation:

[tex]f(x)=x^2-8x+5\\f(-1)=(-1)^2-8(-1)+5\\f(-1)=1+8+5\\f(-1)=14\\[/tex]

the inequality and express your answer in interval notation.
x^2-12x+5<0

need this asap

Answers

Answer:x^2-12x+5<0= 6

hope it helps :)

How much more juice than water is needed to make the rainbow pop? (i need help with this, there are only ten minutes letf!)

Answers

Answer:

6/8 - 4/8= 2/8=1/4 cup

Hope it helps!

Solve for x: -2x + 5 < 7​

Answers

Answer:

[tex]x>-1[/tex]

Step-by-step explanation:

Solve for x: [tex]-2x+5<7[/tex]

To solve this inequality, we must minus 5 from both of the sides.

[tex]-2x+5-5<7-5[/tex]

This equals

[tex]-2x<2[/tex]

Now we'll make this into a fraction and divide both sides by -2.

[tex]\frac{-2x}{-2} <\frac{2}{-2}[/tex]

After we divided, we got our answer.

[tex]x>-1[/tex]

Hope this helps!

Other Questions
A balloon has a volume of 4100 cm? What is the volume in liters? You work as an assistant coach on the university basketball team and earn $15 per hour. One day, you decide to skip the hour-long practice and go to the movie theater instead, which has an admission fee of $9. The total cost (valued in dollars) of skipping practice and going to the movies (including the opportunity cost of time) is Which answer choice is a sentence fragment? A. Today is a great day for walking. B. If you come over tomorrow, come early. C. When we were eating dinner last night, you were quiet. D. When you bring that video game over. Termites live in the tropical rainforest breaking down dead and decaying plant material. As they break down the plant material they release methane, a greenhouse gas. Annually, 1,000 termites release approximately 500 grams of methane. Given a density of 3.5 X 106 termites per hectare, what is the annual amount of methane released, in kilograms, by the termites inhabiting a 3,000 hectare of tropical rainforest. Why was Thomas Paines Common Sense more widely influential in the American colonies than documents like Richard Blands Inquiry into the Rights of the British Colonies? If my phone bill is calculated using equation c= 50g +75 what is the value and interpretation of the slope of this equation? C= cost and g= gigabytes of data used each month Simplify to create an equivalent expression. 84(x+5) Choose 1 answer: A 4x12 B 4x12 C 4x+13 D 4x+5 McGonigal chooses to use the words scarcity, famine, and abstain. What do these words have in common, and why might McGonigal have selected them? Use context clues or a dictionary for help if needed. really needing help with this problem Pablo debe ordenar 350 sillas de un saln en filas y columnas. Cada fila tendr 20 sillas. Cuntas filas completas podr formar? Quedar alguna fila incompleta?, con cuantas sillas? Cmo representaras con una divisin el proceso? 5. A study was done to see the effect of different cancer drugs on tumor size in male patients.Independent Variable:Dependent Variable:Constants: Which of the following was the main reason for the rapid settlement of the GreatPlains during the late 1800s?F. Congress passed an executive order requiring all public lands to be sold at auction.G. Congress passed a law allowing people to claim public land and convert it toprivate property through homesteading.H. Speculators bought large parcels of land and then built factory towns to attractnew immigrants.O J. Native Americans sold most of their tribal lands directly to railroad companies. On October 1, Arcelia Corp. pays $24,000 for two years of rent. The transaction is appropriately recorded in a prepaid rent account. On December 31, of the same year Arcelia should make an adjusting entry for the rent expired, which includes (Select all that apply.) You leave home at 10 AM on a trip and arrive at 12 noon. The trip is a total of 100 miles. How fast are you going at 11AM For the following, write an equivalent expression in standard form: (5x2 + 6x - 2) + 4x (3x 7).the 2 for the 5 x is an exponent What conclusion does Macy draw in this synthesis of ideas?Women were granted the right to vote in four states as a direct result of the bicycles invention.Female cyclists were quickly becoming associated with efforts to win more rights for women.Stanton and her colleagues hoped women cyclists would join their fight for womens rights.Wyoming, Colorado, Utah, and Idaho were home to the highest percentage of women cyclists. What was the impact of location and place on colonial settlement, transportation, andeconomy in the South? Qu tal est usted? What does this mean in English please HELP me?!!!! when did the nomads flourish? Recall that in the 1930s, when anti-Asian prejudice was commonplace in the United States, Richard LaPiere had no trouble finding pleasant accommodations for himself and his Chinese traveling companions. Surprised, LaPiere later sent letters to the establishments they visited, asking whether Chinese visitors would be welcome. More than 90 percent of those who responded replied that they definitely would not accommodate Chinese. This study is noteworthy because it suggested that __________.Group of answer choices