PLSSS HEELPPP A line passes through (3, -2) and (6, 2).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.

a. y+2= 4/3(x+3); -4x+ 3y= -18
b. y+2= 4/3(x-3); -4x+3y= -18
c. y-2= 4/3(x-3); -4x+3y= 18
d. y-3= 4/3(x+2); -4x+3y= 17

Answers

Answer 1

Answer:

b)

Step-by-step explanation:

Question (a)

[tex]\sf let \ (x_1,y_1)=(3,-2)\\\\\sf let \ (x_2,y_2)=(6,2)[/tex]

[tex]\sf slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{2-(-2)}{6-3}=\dfrac43[/tex]

Point-slope formula: [tex]\sf y-y_1=m(x-x_1)[/tex]

Substituting m and point (3, -2) into the formula:

[tex]\sf y-(-2)=\dfrac43(x-3)[/tex]

[tex]\sf y+2=\dfrac43(x-3)[/tex]

Question (b)

Rewrite in standard form:

[tex]\sf y+2=\dfrac43x-4[/tex]

[tex]\sf \implies y=\dfrac43x-6[/tex]

[tex]\sf \implies 3y=4x-18[/tex]

[tex]\sf \implies -4x+3y=-18[/tex]


Related Questions

At the neighborhood grocery, 4.5 pounds of chicken breast cost $49.59. How much would it cost to buy 2 pounds of chicken breast?

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$22.04 is how much 2 pounds cost

3
Andre sold 43 magazines at his mom's work, 32 at his dad's work, 18 around his
neighborhood, and 3 at home. What is the mean of the magazines he sold?

Answers

Answer:

The mean is 24 ( I think)

Step-by-step explanation:

SO in all, there were 96 magazines sold. So if there are just those 4 categories divide the 96 by 4. 96 divided by 4 = 24.

The mean of magazines he sold is 24

Choose the correct graph of the function y=-1/2√x+3+2

Answers

Find y intercept

[tex]\\ \rm\rightarrowtail y=-\dfrac{1}{2}\sqrt{x+3}+2[/tex]

[tex]\\ \rm\rightarrowtail y=-\dfrac{1}{2}\sqrt{0+3}+2[/tex]

[tex]\\ \rm\rightarrowtail y=\dfrac{-\sqrt{3}}{2}+2[/tex]

[tex]\\ \rm\rightarrowtail y=\dfrac{4-\sqrt{3}}{2}[/tex]

[tex]\\ \rm\rightarrowtail y=\dfrac{4-1.732}{2}[/tex]

[tex]\\ \rm\rightarrowtail y=\dfrac{2.368}{2}[/tex]

[tex]\\ \rm\rightarrowtail y=1.184[/tex]

y intercept=(0,1.2)

Option A

A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the
sphere which has a circumference of 489.84 yd. What is the surface area of the sphere? Use 3.14
for
The surface area of the sphere is about yd?.
(Type an integer or decimal rounded to the nearest hundredth as needed.)

Answers

Answer:

76,400

Step-by-step explanation:

I think this is right, not sure though.

Surface area of sphere:

[tex]4\pi \times r {}^{2} [/tex]

Circumference :

[tex]2(\pi \times r)[/tex]

489.84 = 2 × 3.14 × r

2 × 3.14 = 6.28

489.84 = 6.28 × r

radius = 489.84 ÷ 6.28

R =78

Surface Area = 4 × 3.14 × (78)^2

Surface area = 76,415.04

= 76,400

please help I will mark BRAINLIEST ​

Answers

Answer:

Your answer is t>28

Have a nice day!

mark as brainliest

Answer:

T>28

Step-by-step explanation:

What is 1/3 of 9/5 cookies?

Answers

Answer:

9/15 (0.6)

Step-by-step explanation:

(9/5) x(1/3)= 9/15

Answer:

32\15

Step-by-step explanation

SOLVE ASAP PLEASE Point theif = ban

Answers

Answer:

Given dimensions of room:

length = 12 ftwidth = 14 ftheight = 8 ft

Given cost of materials:

floor tiles = $4 per ft²wall & ceiling paint = $16 per 146 ft²

Total square feet of floor = length × width

                                          = 12 × 14

                                          = 168 ft²

Total cost of flooring = $4 × 168

                                   = $672.00

Total square feet to be painted = area of walls + area of ceiling

                                                    = 2(12 × 8) + 2(14 × 8) + (12 × 14)

                                                    = 584 ft²

Total cost of paint = (584 ÷ 146) × $16

                              = $64.00

Total cost to tile and paint the room = $672 + $64

                                                            = $736.00

Consider the polynomial function g(x) = 8x5 + ax4 + 5x + 20, where a is an unknown real number. If (x+4) is a factor of g(x), what is the value of a?

Answers

[tex]g(x) =8x^5 + ax^4 +5x +20 \\\\\text{If}~ x +4 ~ \text{is a factor of g(x) then,}~ \\\\g(-4)=0\\\\\implies 8(-4)^5 +a(-4)^4+5(-4) +20 = 0\\\\\implies 256a -8192 = 0\\\\\implies a = \dfrac{8192}{256} = 32[/tex]

What is the surface area of this rectangular prism?

198 in²

312 in²

396 in²

504 in²
rectangular prism with length labeled 7 inches, width labeled 6 inches, and height labeled 12 inches

Answers

504in2
LxWxH
7x6x12=504in2

Answer:

it's 396

Step-by-step explanation:

I took the k-12 quiz math Surface Area quiz

2. Evaluate the function rule for the given value. y = 4.2 for x = -6​

Answers

Answer:
y= 4 x 2(6)
y= 4 x -12
y= -48
Step-by-step explanation:
y= 4 x 2(6)
y= 4 x -12
y= -48

How do you graph y=-1/3x

Answers

Step-by-step explanation:

it is negative so the slope must go downwards from left to right. since it is 1/3, for every 3 to the right, you go one down.

find the value of x in the diagram

Answers

Answer: there is something off screen i cant see so i cant help you 183- what?

Step-by-step explanation:

trigonometric formulas

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Answer:

all shown in the picture !

Step-by-step explanation:

also shown in the picture

help me please, need answer quick

Answers

Answer:

Option D is correct

The answer is 42 square unit.

Step-by-step explanation:

Given;a = 9 unitsb = 12 unitsh = 4 unitsTo Find;Area of TrapezoidFormula;Area = ½ (a + b) × h

Now,

A = ½ (a + b) × h

A = ½ (9 + 12) × 4

A = (21) × 2

A = 42 square unit

Thus, The estimated area of the Trapezoid is 42 square unit.

-TheUnknownScientist 72

A cube has a side length of 5 centimeters. What is its surface area of the cube?

Answers

total surface area of the cube = 6.x^2.

= 6. (5)^2 cm^2

= 150cm^2. Answer.

Answer:

A = 150cm²

Step-by-step explanation:

A=6a2=6·52=150cm²

Chicago is home to 2.706 million people and the city sees approximately 55 million visitors each year. China has a population of 1.393 billion. If their visitors were proportional to Chicago, how many visitors could China expect? Write your answer in scientific notation rounded to two decimal places. Provide your answer below: x 10^ visitors

Answers

China could expect a quantity of visitors of 8.512 × 10⁶ in Chicago.

How to apply direct proportions

A direct proportion is a direct relationship between two variables, which in this case is represented between the quantity of tourists in the city of Chicago and the population of the country of origin.

Let suppose the existence of direct proportionality and world has a population of 9000 million people, the quantity of Chinese visitors in the city of Chicago is determined by the following formula:

x = (1.393 × 10⁹ / 9 × 10⁹) × 55 × 10⁶

x = 8.512 × 10⁶

China could expect a quantity of visitors of 8.512 × 10⁶ in Chicago. [tex]\blacksquare[/tex]

To learn more on direct proportions, we kindly invite to check this verified question: https://brainly.com/question/14389660

Find the perimeter and area of the following triangle.

Answers

Answer:

perimeter=21 area=12

Step-by-step explanation:

perimeter- 5+6+10=21

area- b x h x 1/2

6x4/2

24/2

12

6. In June, Clarissa used 1 gigabytes
of data on her cell phone. Given that
June has 30 days, how much data did
she use on average per day?

Answers

Answer:

33.33 megabytes per day on average.

Step-by-step explanation:

Ratio and Proportion

If 30 days = 1 Gb
Then 1 day = 1/30 = 0.033333GB
0.033333GB = 33.333 MB
Hence she used 33.333MB each day

SOLVE please I need it fast it’s for 20 points so please

Answers

Step-by-step explanation:

I hope its helped ?? huhuhu sorry if im wrong:)

Vhat is the probability of flipping a coin 11 times and getting heads 3 times?
Found your answer to the nearest tenth of a percent.

Answers

Answer:

the answer should be 21 if it's there if I'm wrong let me know

5th root of 0.06
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Answers

Answer: 0.56967905

Steps:
Raise 0.06 to the power of 1/5

0.56967905

b) The following patterns are made using small squares.
Pattern 1
Pattern 2
Pattern 3
Write an expression for the number of small squares in pattern n.
Write your answer in the form (n + a)? + b or an? + bn + C where a, b and care integers.

Answers

Answer:

(N+2)^2+6

Step-by-step explanation:

a land mass is roughly in the shape of a rectangle whose perimeter is 1200 miles the width is 120 miles less than the length find the length and the width



PLEASE HELP ASAP!!! IM STUCK ON THIS

Answers

Answer:

Length: 360. Width: 240.

Step-by-step explanation:

360 * 2 = 720

240 * 2 = 480

720 + 480 = 1,200

Find the domain of
[tex]y = \frac{1}{(1 - \sin(x) } [/tex]

Answers

Let's see

Denominator must not be equal to zero or the function becomes undefined

[tex]\\ \rm\rightarrowtail 1-sinx\neq 0[/tex]

[tex]\\ \rm\rightarrowtail sinx\neq 1[/tex]

[tex]\\ \rm\rightarrowtail x\neq \dfrac{n\pi}{2}[/tex]

So

[tex]\\ \rm\rightarrowtail Domain\in R-\left\{\dfrac{n\pi}{2}\right\}[/tex]

is 1.3 greater than 1.52

Answers

NO IT IS NOT BECAUSE 1.3 IS 1.30, WHICH IS NOT GREATER THAN 1.52.

When 58,511 is divided by 21, the quotient is 2,786 R ___.

Numerical Answers Expected!

Answer for Blank

Answers

If you take the answer, 2786 and multiple by 21

You get 58,506

Which if you subtract from 58,511 you would get 5

Which is r

AB= 7 and BC= 5. Find AC.
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A) 9
B) 12
D) 8
C) 18

Answers

Answer:

B

Step-by-step explanation:

It would help if you can actually show the points

Find the values of x for which the denominator is equal to zero for y=3x+5/x-6.
x = −5
x = 6
x = −6
none

Answers

Answer:

x=6 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

what is the equation of the following graph?

Answers

Answer:

Step-by-step explanation:

When figuring out the graph of a sinusoidal, I keep in mind the acronym FPARHM:

F - function (sine or cosine)

P - period

A - amplitude

R - reflections

H - horizontal/phase shift

M - midline

Looking at the graph, we can figure out that the function is sine (since it intersects the origin at its midpoint, the period is [tex]\pi[/tex] (because it repeats every [tex]/pi[/tex] units in the x-direction, the amplitude is 2 (because the graph's extreme points are 2 units away from the midline in the y-direction, there are no reflections, no horizontal/phase shift, and the midline is [tex]y=0[/tex] (since the graph isn't shifted up or down in the y-direction.

Finally, knowing all these parts, we can piece together the equation of the sinusoidal graph. In general, the equations of sinusoidal graphs are in the form [tex]y=a\sin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex] \frac{2\pi}{|b|}[/tex] is the period, [tex] \frac{c}{b}[/tex] is the horizontal shift, and [tex]d[/tex] is the midline. Additionally, if [tex]a[/tex] is negative, the graph needs to be reflected over the x-axis and if [tex]b[/tex] is negative, the graph needs to be reflected over the y-axis. Knowing this, all we need to do is plug in the amplitude, period, phase shift, and midline to the equation. The equation is [tex]y=2\sin(2x)[/tex]

Hope this helps :)

Could someone help me with this?

Answers

Step-by-step explanation:

Identity the variable:

Initial Velocity is 35.

Initial Height is 204

Final Height is 0.

What looking for the time.

So we have

[tex]0 = - 16 {t}^{2} + (35)t + 204[/tex]

Use Quadratic Formula,

[tex] - b± \frac{ \sqrt{b {}^{2} - 4ac} }{2a} [/tex]

A is -16, B is 35 , C is 204.

So we have

[tex] - 35± \frac{ \sqrt{ {35}^{2} - 4( - 16)(204) } }{ - 32} [/tex]

[tex] - 35± \frac{ \sqrt{1225 + 2240} }{ - 32} [/tex]

[tex] - 35± \frac{ \sqrt{3465} }{ - 32} [/tex]

[tex]{35} ± \frac{ \sqrt{3465} }{ - 32} [/tex]

The positve solution is

[tex]4.83[/tex]

So the answer is 4.83 seconds

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