write the point-slope form of the equation of the line through the given points through (0,-1) and (3,-3)

Answers

Answer 1

[tex]\text{Given that,}\\\\(x_1,y_1) = (0,-1) ~ \text{and}~ (x_2, y_2) = (3,-3)\\\\\text{Slope, m}= \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{-3+1}{3-0} = -\dfrac 23\\\\\\\text{Point slope - form}\\\\y-y_1 = m(x-x_1)\\\\\implies y - (-1) = -\dfrac 23 (x -0)\\\\\implies y +1 = -\dfrac 23 x[/tex]


Related Questions

The table below shows the proportional relationship between the weight of cereal, in ounces, and the number of packs of cereal:


Number of Packs
of Cereal Number of Ounces
of Cereal
2 34
3 51
4 68


What is the constant of proportionality?
9
17
34
36

Answers

Answer:

The answer is a

Its a because 13 times 3 is 39

13 times 4 is 52

and 13 times 5 is 65

Credit to: alizahalder2007

the answer is a because it is constant

what triangle does the pythagorean theorem relate to

Answers

Answer:

Right Triangle

Step-by-step explanation:

I hope this helps!

please really need helpppppppp

Answers

Answer: [tex]f(x) = 200(\frac{1}{2})^{x}[/tex]

Step-by-step explanation:

If you plug in the x value(s) to each equation, you can see that [tex]f(x) = 200(\frac{1}{2})^{x}[/tex] is the correct answer because each y value matches the y value on the table. Therefore, [tex]f(x) = 200(\frac{1}{2})^{x}[/tex] is the correct answer.

Hello, Can you please take a look at this screenshot I have below, This problem is confusing :/

Answers

Answer:

See answers below.

Step-by-step explanation:

m ∠A + m ∠B + m ∠C = 180°          The sum of the angles in a triangle = 180

28°  +   x - 4   + 2x  = 180°              Substitution

x =  52°                                            Algebra

28°  +  x - 4  + 2x  = 180°

    24° + 3x = 180°

     3x = 156°

      x = 156/3

       x = 52°

Check:   28° + 48 + 104°  = 180√

Can someone please help me with the graph above ?? please ​

Answers

Answer:

See image

Step-by-step explanation:

The third line of the directions that says

(x,y)->(x-5, y)

is telling you to look at each point and keep the y the same, but subtract 5 from the x. For example, point B which is given as the point (4,-1) will slide over 5 places to the left and keep the y the same to (-1,-1) see image

The whole shape will slide over to the left 5 places. (red)

Then, it says reflect over y=0. Which is a flip like a mirror image.(green) The final answer is the green figure.

A Hospital telephone operator has observed that calls arrive at a rate of 300 calls per hour. What is the probability that there are exactly 5 calls in 10 minutes?​

Answers

Answer:

It can be done using poisson distribution.

λ  = 30 calls/hr = 1.5 calls/3min

Now  P(X=x)=e−λ.λxx!

So  P(X=0)=e−1.5

Step-by-step explanation:

If x = 4 and y = -2, the value of 1/2 xy2 is

Answers

Answer:

8

Step-by-step explanation:

Substitute the given values into the expression

[tex]\frac{1}{2}[/tex] xy²

= [tex]\frac{1}{2}[/tex] × 4 × (- 2)²

= 2 × 4

= 8

Margie says the set of numbers, 0. 1, -1, -21 4 , 3, are in order from least to greatest. What is her error? She did not use the correct common denominator. The 3 is in the wrong place. She treated all the numbers as positive. The â€"1 should be the first number on the list.

Answers

Answer:

3 is in the wrong place

Step-by-step explanation:

:)

One of the errors made by Margie by saying the set of numbers 0, 1, -1, -21, 4, 3 is that the -21 should be the first number on the list.

The given set of numbers is:

0, 1, -1, -21, 4, 3.

Margie says that the set of numbers above is in order from least to greatest

Kindly note that:

The negative number with the highest magnitude is the lowest

The positive number with the highest magnitude is the highest

Arranging this number by carefully following the note above, the set of numbers above from the least to greatest is:

-21, -1, 0, 1, 3, 4

It is obvious that Margie made a mistake in arranging the numbers, and one of the mistake is that the -21 should be the first number on the list since it is the most negative

Learn more here: https://brainly.com/question/25874786

The difference between a number and 16 is 49.

ANYBODY KNOW THE ANSWER?~

Answers

Hey there!

GUIDE

• The word “sum” means add

• The word “difference” means subtract

• The word “product” means multiply

• The word “quotient” means divide

• The word “is” means equal to

• The “unknown number” is a variable that is not known. So people usually label it as a variable until they figure out what the unknown value is.

Now that we have that information out the way we can solve for your given question.

“The [DIFFERENCE] between [a number] & 16 [is] 49

Lets break it down

• DIFFERENCE (between) = subtract☑️

• A NUMBER = UNKNOWN (so we will label it is as “n”]☑️

• 16 will stay the same because NOTHING was done to it!

• IS = is equal to☑️

We have the key terms out of the way so now we met our answer

ANSWER:

“n - 16 = 49”

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Help help hep math math

Answers

[tex]300 {ft}^{2} [/tex]

Step-by-step explanation:

d=20

r=10

π=3

[tex]a = \pi{r}^{2} [/tex]

[tex]a = (3) {(10)}^{2} [/tex]

[tex]a = 300[/tex]

Answer:

A = 300 ft^2

Step-by-step explanation:

First we need to  find the radius

r = 1/2 d

The diameter is 20

r = 1/2(20) = 10

A =pi r^2

We are using 3 for pi

A = 3( 10)^2

A = 3 * 100

A = 300 ft^2

Plz answer in (x,y).

Answers

3(3x + y = 1/3) ➡️ 9x + 3y =1

9x + 3y = 1 (3/3) Add together
2x - 3y = 8/3

11x = 11/3 divided by 11

x = 1/3

2x - 3y = 8/3 Find y

2(1/3) - 3y = 8/3 Plug in x

(2/3) - 3y = 8/3 Subtract 2/3
-2/3 -2/3

-3y = 6/3 Divided by -3

y = -2/3

(x , y) ➡️ (1/3 , -2/3)

can someone please help?!

Answers

Answer:

Plot the points (0,0) and (1,3) to make the line.

Step-by-step explanation:

We know that a linear equation is y=mx+b, m is the slope and b is the y-intercept. We can see that the slope is m=3, and there is no b meaning b=0. Since the y-intercept is 0 we can start from the origin (0,0). The slope is 3/1 or known as rise/run. You go up 3 and go right 1, making the second point (1,3). This should work.

68.1 x 0.8
help me please or im gonna fail :(

Answers

Answer: 54.48

Just copy n paste

3. There are 12 red balloons and 14
blue balloons in the bouquet.
What is the ratio of red balloons to blue balloons?

Answers

Answer:

6:7

Step-by-step explanation:

Divide 12 and 14 by 2 to simplify the ratio.

Answer: 6:7

Step-by-step explanation:

The number of red balloons in 12 and the number of blue ones is 14, which can be written as 12:14. 12:14 can be simplified to 6:7

Graph the line that passes through the points (-2,-1) and (-4,5) and determine the equation of the line

Answers

Answer:

y = -3x-7

Step-by-step explanation:

Find the slope:

Going from (-4,5) to (-2,-1):

Rise = (-1 - 5) = -6

Run = (-2-(-4) =  2

Slope = Rise/Run = (-6/2) = -3

y = mx + b

y = -3x + b

Find b by using either given point.  I'll use (-2,-1)

y = -3x + b

-1 = -3(-2) + b

b = -7

See attachment.

---

y = -3x-7

please pick the right anwers no bots please

Answers

Answer:

1. 2/3

2. 0

3. 7/2

4. -2

5. -2

6. 1

7. -4/3

8. Undefined

9. 8

10. 9/5

if p =5 q =3 find the value of 9p2²- 5q² ​

Answers

Answer:

Answer is in the attached file.

A diver descends 3.2m in 5min. what was his average rate of descent in metres per minute?

Answers

Divide distance by time:

3.2 meters / 5 minutes = 0.64

The descent was -0.64 meters per minute

Answer:

.64

Step-by-step explanation:

Whenever you see x per y that means that you're looking at a ratio, which can be expressed as a fraction.

It would look like 3.2/5

The rate of descent may not be consistent, but on average it's reflected by the ratio and so you can just cut 3.2 meters into five equal parts to see, on average, how far the diver descended every minute.

Pick the correct answer choice! Please.

Osmosis is when:


A) Water molecules move from a low concentration, to a low concentration, with the assistance of travel proteins.


B) Salt molecules move from a high concentration, to a low concentration, with the assistance of travel proteins.


C) Water molecules move from a high concentration, to a low concentration, with the assistance of travel proteins.


D) Salt molecules move from a low concentration, to a low concentration, with the assistance of travel proteins.

Answers

Answer:

C

Step-by-step explanation:

Osmosis: In osmosis, water always moves from an area of higher water concentration to one of lower concentration. In the diagram shown, the solute cannot pass through the selectively permeable membrane, but the water can.  Water has a concentration gradient in this system.

HOPE THAT HELPS YOU PLS MARK ME BRINILYS

Answer:

A hey the answer because osmosis means small when molecules when molecules from a hydrophenation with the help of travel proteins most are low concentration

Find the area of the figure.
triangle with base 18 in. and height 13 in.
The area of this triangle is
is

Answers

Answer:

117 square inches

Step-by-step explanation:

234/2

Answer:

A = 117 in²

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 18 and h = 13 , then

A = [tex]\frac{1}{2}[/tex] × 18 × 13 = 9 × 13 = 117 in²

Dan made 85% of his free throws. If he took 45 shots how many did he make?

Answers

Answer:

38

Step-by-step explanation:

85%=.85

So 45 × .85 = 38.25

38 shots he made.

Hope this helps

Answer:  38

Work Shown:

85% = 85/100 = 0.85

85% of 45 = 0.85*45 = 38.25

Rounding to the nearest whole number, we get the result 38

As a check, 38/45 = 0.8444 approximately which converts to 84.44% and that's fairly close to 85%. If we tried 39, then 39/45 = 0.8667 = 86.67% which is a bit too high.

hi hope you are well can someone give the answers will mark as brainliest as soon as I am done with this assignment​

Answers

36.)B

37.)C

38.)C

39.)C

40.)A

hoped that helped :)

This is a sketch of the curve with equation y = f(x).
The vertex of the curve is at (2, -3)
У
Х
(2, 3)
Write down the coordinates of the vertex of the curve with equation
a) f(x) + 5
b) –f(x)


help me please

Answers

Answer:

Below in bold.

Step-by-step explanation:

a) the curve moves up 5 units, so

the vertex is (2, -3 + 5)

= (2, 2).

b) - f(x) is the image of f(x) in the x-axis so

The vertex is at (2, 3).

Multiply the fractions and reduce to lowest terms: 3/4 x 1/3​

Answers

Answer:

3/12 or 1/4

Step-by-step explanation:

Answer:

1/4 is the answer.

Step-by-step explanation:

3/4 x 1/3​

=> 3/12

=> 1/4

Therefore, 1/4 is the answer.

Hoped this helped.

In the figure shown, line AB is parallel to line CD.

Part A: What is the measure of angle x? Show your work. (5 points)

Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)

Answers

Answer:

Below.

Step-by-step explanation:

Part A.

m < RPB = 180 - 115 = 65 degrees.

So the m < x =  180 - 65 - 62

= 53 degrees.

Part B.

First line of Part A:

M < RPB + m < PRD = 180 degrees ( Internal angle between 2 parallel lines are equal).

Second line:

The 3 angles x, 62 and 65 degrees  are all on the same straight line (AB), so they sum to 180 degrees.

Find the side lengths in the following triangle.

Answers

Answer:

I'm not too sure which one you need, so choose what answer needs to go in the box!

JL= 44.5

JK=23.3

KL=23.3

Step-by-step explanation:

Since JK and KL are equal to eachother, we have to find the missing variable through them. You want to choose one side to have the variable number and the other side for the normal numbers. I can't really explain this next bit, so I'll show the math below:

V N

4x - 10.7 = 2x + 6.3

+10.7. +10.7

_________________

4x = 2x + 17

-2x -2x

2x = 17

So, once there is only one variable number and one normal number left, what do you do? You divide the variable by the number it's worth and carry the division to the normal number.

2x = 17

÷2. ÷2

_______

x = 8.5

So, 8.5 is our number we need. We then just insert it into all the equations to get the numbers.

4 × 8.5 = 34

34 - 10.7 = 23.3

Since JK and KL are equal, they are both 23.3.

5 × 8.5= 42.5

42.5 + 2 = 44.5

JL=44.5

The graph of y=f(x) is shown below. Find all values of x where f(x)=5

Answers

Answers:   -6 and -4

=======================================================

Explanation:

Refer to the drawing below. Locate 5 on the y axis. Draw a horizontal line extending as far as you can to the left and right.

This horizontal line crosses the parabola in two locations. From those two locations, drop a vertical line straight down until you reach the x axis. You should reach x = -4 and x = -6

This shows that f(-4) = 5 and f(-6) = 5.

Phrased another way: the points (-4,5) and (-6,5) are on the parabola.

(a) Round off 3.612 and 29.87 to 2 significant figures.
(b) Use your answers in part (a) to estimate the value of 3.612 ÷ 29.87.
also pls show how you found the answer

Answers

A)

3.612 = 3.6
29.87= 30

B)

3.6/30= 0.12

Easy method to do this:
360/30= 12
12/100= 0.12

please help i will give brainliest

Answers

Answer:

Step-by-step explanation:

C

Gabrielle's age is two times Mikhail's age. The sum of their ages is 54. What is Mikhail's age?

Answers

Mikhail is 18 years old.

Gabrielle is 36 years old.

18 * 2 = 36
and
18 + 36 = 54
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