A line contains the points (-3,-9) and (4,5). What is the point-slope form of the line? A. y + 9 = -2 (x + 3)
B. y - 5 = 3 (x - 2)
C. y - 9 = 2 (x + 3)
D. y + 9 = 2 (x + 3)​

Answers

Answer 1

Answer:

D

Step-by-step explanation:

First find the slope.

[tex]Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{5-[-9]}{4-[-3]}=\dfrac{5+9}{4+3}\\\\\\=\dfrac{14}{7}=2[/tex]

Point slope form:

y - y1 = m(x -x1)

y -[-9] = 2 (x - [-3])

y +9 = 2 (x + 3)


Related Questions

a, b, c and d are positive integers, such that a+b+ab = 20, c+d+cd = 34. Find (a+b+c+d)·a·b·c·d

Answers

a+b=10 ab=10 c+d=17 cd=17 in total it equals 27 hope this helps!

36 x 1/9, show work please !

Answers

Answer:

4 [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

39 × [tex]\frac{1}{9}[/tex]

39 times 1 is 39

39/9 is 4.33333333 Which is also, 4 [tex]\frac{1}{3}[/tex]

36*1/9

36/1*1/9

We then multiply the numerator and the denominator

“36/9

helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp i will put brailny

Answers

Answer:

fraction 1/4. decimal 0.25 percent 25%

Step-by-step explanation:

5:20=5/20=1/4

1/4 is 0.25

the percentage is 25% aftr multiplying the decimal by 100%

an athlete trains by running 300m eight times and 200m six times. How far does he run in kilometres?

Answers

300 x 8 + 200 x 6 = 2400 + 1200 = 3600m
1km = 1000m
3600 : 1000 = 3,6km

Which is not a way to write the answer to this problem?

Answers

Answer:

D. 887 ÷ 43 ≈ 21

Step-by-step explanation:

Write the equation of the line in fully simplified slope-intercept form

Answers

Answer:

y = - x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0) ← 2 points on the line

m = [tex]\frac{0-6}{6-0}[/tex] = [tex]\frac{-6}{6}[/tex] = - 1

The line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = - x + 6 ← equation of line

a 10 meter piece of wire is cut into two pieces . one piece is 2 meters longer than the other. how long are the pieces ​

Answers

One piece is 6 meters while the other is 4 meters

Red At Santa's workshop, Jingles
the Elf sampled candy canes. He found
that 18 candy canes were broken. This
number represented 15% of the total
number of candy canes he inspected.
What was the total number of candy
canes Jingles sampled?

Answers

Based on the total number of candy canes damaged and the proportion of the total it was, the total inspected was 120 candy canes.

Assuming the total number of candy canes inspected is x, the relevant formula would be:

18 = x × 15%

Solving for x would give us:

18 = 0.15x

x = 18 / 0.15

= 120 candy canes

In conclusion, 120 canes were sampled.

Find out more at https://brainly.com/question/529563.

The cost to rent a moving van is $19.95 per day plus $0.52 per mile. The cost of renting a
car trailer to pull behind the van is $24.95 per day plus $0.24 per mile. Roberto is moving
from Los Angeles to Denver, Colorado. Which equation can he use to find his daily
rental costs c? (Use m for miles.)

Answers

Answer: 19.95 + 24.95 + (m times 0.52) + (m times 0.24)

Step-by-step explanation:

19.95 + 24.95 + (m times 0.52) + (m times 0.24)

The first 2 numbers are the one time costs then the numbers in brackets are for the cost per miles.

A pool with a square bottom is to have a volume of 2000 cubic feet. The owners plan to use a fancy tile to complete the pool. The sides of the pool will cost $80 per square foot and the bottom of the pool will cost $40 per square foot. Find the pool dimensions that will minimize the cost of construction.

Answers

The pool dimensions that will minimize the cost of construction are length of square bottom = 20 ft and height of pool = 5 ft

Let l be the length of side of the square bottom of the pool and h be the height of the pool.

Its volume V = l²h

Now, the total surface area of the pool equal the area of its sides plus the area of its base.

The area of its 4 sides is 4lh.

Since the cost of the side of the pool is $80 per square foot, the total cost for the sides of the pool is C = $80 × 4lh = $ 320lh

Also, The area of its square bottom is l².

Since the cost of the side of the pool is $40 per square foot, the total cost for the square bottom of the pool is C' = $40 × l² = $ 40l²

So, the total cost of the pool is C" = C + C' = 320lh + 40l²

C" = 320lh + 40l²

Since the volume equals 2000 ft³, V = l²h

2000 = l²h

h = 2000/l²

Substituting h into C", we have

C" = 320lh + 40l²

C" = 320l × 2000/l² + 40l²

C" = 640000/l + 40l²

To find the value of l which makes C" minimum, we differentiate C" with respect to l and equate it to zero.

So, dC"/dl = d(640000/l + 40l²)/dl

dC"/dl = d(640000/l)/dl + d(40l²)/dl

dC"/dl = -640000/l² + 80l

Equating dC"/dl to zero, we have

-640000/l² + 80l = 0

-640000/l² = -80l

Cross-multiplying, we have

640000 = 80l³

Dividing through by 80, we have

l³ = 640000/80

l³ = 8000

Taking cube root of both sides, we have

l = ∛8000

l = 20 ft

We differentiate C" twice to determine if this value of l gives a minimum for C".

So, d²C"/dl² = d(-640000/l² + 80l)/dl

d²C"/dl² = d(-640000/l²)/dl + d(80l)/dl

d²C"/dl² = 640000/l³ + 80

Substituting l = 20, we have

d²C"/dl² = 640000/l³ + 80

d²C"/dl² = 640000/20³ + 80

d²C"/dl² = 640000/8000 + 80

d²C"/dl² = 80 + 80

d²C"/dl² = 160 > 0

Since d²C"/dl² = 160 > 0. So, l = 20 ft gives a minimum for C".

Since h = 2000/l²

Substituting l = 20 into the equation, we have

h = 2000/l²

h = 2000/20²

h = 2000/400

h = 5 ft

So, the pool dimensions that will minimize the cost of construction are length of square bottom = 20 ft and height of pool = 5 ft

Learn more about dimensions of a pool here:

https://brainly.com/question/22112169

Melissa makes necklaces and sells them online. She charges $88 per necklace. Her monthly expenses are $3745. How many necklaces must she sell if she wants to make a profit of at least $1,650?

Answers

Answer:

She must sell at least 18 necklaces to have a profit of at least 1,650 . In order to pay for her monthly expenses she needs to sell at least 43 necklaces. If she wants to have 1,650 remaining after paying for her monthly expenses she'll have to sell around 61 necklaces.

WILL MARK BRAINLIEST, PLS INCLUDE SOLUTION

Answers

(-2x^2m)² (3x^3) / 8x^m-3
Simplify
12x^3+4m/9x^m-3
Simplify further

=4x^3m+6/ 3
I hope this helps

evaluate -4(5-(36÷4))​

Answers

Answer:

16

Step-by-step explanation:

- 4 ( 5 - ( 36 ÷ 4 ) )

= - 4 ( 5 - 9 )

= - 4 ( - 4 )

= - 4 * - 4

= 16

The area of the surface of a ball is equal to the area of the curved surface of a right circular cylinder. If both the height and diameter of the cylinder are 12cm , find the diameter of the ball

Answers

Answer:

D=12 cm

Step-by-step explanation:

please check the image for the answer. Thank you .

What is the greatest perfect square that is a factor of 4725

Answers

Answer:

225 is a greatest perfect square that is a factor of 4725 .54 views

If two figures are similar, what can you say about them? Be specific and give at least 3 details.

Answers

Answer:

im confused as to if these terms are supposed to be specific or if you are looking for certain ones

Step-by-step explanation:

but i would say congruent, corresponding angles, and equal

NEED HELP ON THIS QUICKLY!!!!!!!
1. Write an exponential function to represent the spread of Carter's social media post.

2. Graph each function using at least three points for each curve. All graphs should be placed together on the same coordinate plane, so be sure to label each curve. You may graph your equation by hand on a piece of paper and scan your work, or you may use graphing technology.

3. Using the functions for each student, predict how many shares each student's post will be received on Day 3 and then on Day 10. Justify your answers.

4. If Amber decides to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, the new function representing her photo shares is f(x) = 3(4)x + 45. How does this graph compare with the original graph of Amber's photo share?

5. Based on your results, which students' post travels the fastest? How is this shown in the equation form of the functions?

6. If you had to choose, would you prefer a post with fewer friends initially but more shares, like Amber, or more friends initially but fewer shares? Justify your answer with your calculations from previous questions.

BELOW IS A SCREENSHOT OF THE GRAPH OF THEIR RESULTS

Answers

Answer:

Step-by-step explanation:

1.  f(x)=10*(2)^x

2.  Attached

3.  Attached

4.  Use DESMOS to make this change in Amber's graph, using f(x) = 3(4)x + 45.

5.  Amber grows the quickest.  The starting base, 4, is greater than the others (f(x)=3*(4)^x).

6.  I'd prefer more friends initially, even with fewer shares.

x+y=3
2x-y=0
substituition method

Answers

Answer:

(1, 2 )

Step-by-step explanation:

x + y = 3 (subtract x from both sides )

y = 3 - x → (1)

2x - y = 0 → (2)

Substitute y = 3 - x into (2)

2x - (3 - x) = 0

2x - 3 + x = 0

3x - 3 = 0 ( add 3 to both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into (1)

y = 3 - 1 = 2

solution is (1, 2 )

pls i only have 1 minute left hurry

Answers

Answer:

look at the picture i have sent

Slope is -4 and (6,1) is on the like the equation of the line is

Answers

Answer:

y=-4x+25

Step-by-step explanation:

If this is Point-Slope then:

y-y1=m(x-x1)                         m=slope

m= -4  Coordinates=(6,1)

y-1=-4(x-6)

y-1= -4x +24

y=-4x+25

(-11)-8+(-7)-(-14)
Answer

Answers

(-19) -7 +14= -26+ 14 = -12

Dan rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a factor of 15.

Answers

Answer:

[tex]\frac{1}{18}[/tex]

Step-by-step explanation:

If there are six sides on a die then there are 36 different rolls

The factors of 15 are (3×5) and (5×3) so you would get 2/36

When you simplify that you get 1/18

I hope this helps!!

Step-by-step explanation:

there are six squares in each dice so 3×5=15 and 5×3=15answer is 1/8

Find the value of each expression.

A) 3√9-16

B) -7√0.36+5.4

Answers

A.)

[tex]3 \sqrt{9} - 16 = ... \\ = 3(3) - 16 = 9 - 16 \\ = \bold{ - 5}[/tex]

[tex] \: [/tex]

B.)

[tex] - 7 \sqrt{0.36} + 5.4 = ... \\ = - 7(0.6) + 5.4 = - 4.2 + 5.4 \\ = 5.4 - 4.2 = \bold{1.2}[/tex]

Science is based on the correspondence theory of truth, which claims that truth corresponds with facts and reality. True or False and i will brainly list if correct

Answers

Correspondence theories claim that true beliefs and true statements correspond to the actual state of affairs.

Answer:

no this would not be true because science doesnt always rely on reality as in some scientific books or films they dont fully base it on truth.

Step-by-step explanation:

Plzzz help meeee plzzzzzz

Answers

Answer:

  a) $560

  b) 80%

  c) $1134

Step-by-step explanation:

a)

The profit is the difference between selling price and cost price:

  profit = $1260 -700 = $560

__

b)

As a fraction of the cost price, the profit is ...

  $560/$700 × 100% = 80% . . . . of the cost price

__

c)

A 10% discount from the selling price makes it ...

  $1260 × (1 -10%) = 0.90×$1260 = $1134

A student will pay $1134 for a calculator.


Ricardo borrows $1,850 for 10 months at an interest rate of 12.25%. What amount will
he have paid back at the end of the loan period?

Answers

9514 1404 393

Answer:

  $2038.85

Step-by-step explanation:

The value of the loan at that point is given by ...

  A = P(1 +rt) . . . . . Principal P, rate r, time t (years)

  A = $1850(1 + 0.1225·(10/12)) = $2038.85

Ricardo will have paid back $2038.85 at the end of the loan period.

_____

Additional comment

We assume that the loan accrues simple interest and that the amount due is the sum of principal and interest at the end of the loan period.

The question is not specific as to whether interest compounds, or whether intermediate (monthly) payments are made. There are many possible ways the loan could be repaid, generally involving different amounts for the different terms.

Write in the form a to the power of n where n < 01/ 9x9x9x9x9x9x9x9x9x9

Answers

The answer is

31381059609

Please Help Im Doing A Test And Really Need The Answer!

Please no fake answer for points

Answers

Answer:

The last one (16+20+3+8)

Step-by-step explanation:

add up all the sides not including the 3 inside

Answer:

(16+20+3+8)

Step-by-step explanation:

The perimeter is the measurement on the outside of the shape.

so (3+16+20+8) = 47

In a right triangle one angle is 55° and the hypotenuse is 20 mm which expression will give you the correct length in millimeters of the leg adjacent to the 55° angle?

Answers

Answer:

D   20cos55º

Step-by-step explanation:

cos = adj/hyp

cos55 = adj/20

20cos55 = adj

-5x+3-2x-4+4x-5= −

x+8m2x+8m2 =

(x+6)(x+6)(x+6)(x+6)

Answers

Answer:

is this even a real question?

Step-by-step explanation:

Other Questions
please help I attached an image In a square of side length s, what is the length of a diagonal? At which event can a student explore over 60 colleges in one day? The spark plugs are threaded into the top of each cylinder and provide a place for the spark to jump within the ________. What are the facilities and equipment in basketball. if your answer is gonna be copy pasted in the internet please rephrase it at least. help me on this please What 3-5 major things that President W. Bush did after they were president? Which of the following statements is a prediction? A. Drivers like getting to places quickly because it gives them a sense of control. B. Traffic signals should be timed to lessen traffic density. C. Drivers that speed will receive more traffic citations than other motorists during traffic holidays. D. Motorists report enjoying driving during periods of low traffic density. Please select the best answer from the choices provided A B C D. solve pls brainliest what is opinion on the district deciding to close school this Friday and decided to reopen again? what galaxy do we live in, and what kind of galaxy is it? Use examples to explain how the geosphere interacts with two other of Earth's spheres. Explain the interaction for each using complete sentences. HELPPPP find three rational numbers between -1/2 and 1/2 Which statement is true regarding the functions in the graph?F(6)=g(3)F(3)=g(3)F(3)=g(6)F(6)=g(6) Bridger Ski Co. has developed a tract of land into a ski resort. The company has cut the trees, cleared and graded the land and hills, and constructed ski lifts. a. Should the tree cutting, land clearing, and grading costs of constructing the ski slopes be debited to the land account You have already traveled 25 miles. If you continue driving at the same speed, x miles per hour, for 5 more hours, you will travel y total miles. Which equation shows how x and y are related?A. 5x + 25 = y B. 25 y = 5xC. 25x + 5 = y D. 25 5x = y which forces have physicists shown to be the same force under conditions of very high temperature, as confirmed by experiments in particle accelerators? Me and my drama partner r can't think of a scene. Got any ideas? Don't put anything stu pid! por favor aydame a reescribir cada oracin usando los signos de puntuacin necesarios para fijar . A load of 250 kg is hung by a cranes cable. The load is pulled by a horizontal force such that the cable makes a 300 angle to the vertical plane. If the load is in the equilibrium, calculate the magnitude of the tension in the cable.