find the equation (in terms of x) of the line through the point (-3,-3) and (2,-2)

Answers

Answer 1

Answer:

y = (1/5)x - 12/5

Step-by-step explanation:

First, you need to find the slope (m). This can be done by using the given points and the following equation.

y₁ - y₂ = m(x₁ - x₂)

-3 - (-2) = m(-3 - 2)

-1 = -5m

1/5 = m

Next, you need to find the y-intercept (b). You can do this by using the slope and the values of a point in the following equation.

y = mx + b

-2 = (1/5)(2) + b

-2 = 2/5 + b

-2.4 = b

-12/5 = b

Putting the information together, you are left with your final equation.

y = (1/5)x - 12/5


Related Questions

a rental truck company charges $25 per day plus a fee of $0.35 for every mile (m) driven. Which equation can be used to find the number of miles driven for a truck that costs a total of $42.50 to rent for one day?

Answers

i believe the answer would be 25 + 0.35m = 42.50

−11 ≤ −5; Add 16 to both sides

The resulting inequality is:

Answers

Answer:

True (-∞, ∞)

Step-by-step explanation:

−11 + 16 ≤ −5 + 16

5 ≤ 11

Can a triangle have sides with the given lengths?
2 in, 4 in, 6 in

Answers

Answer:

NO

Step-by-step explanation:

Because the sum of the minor sides equals the measure of the major side, it must be less.

2 + 4 = 6

Hope this helps

click on the picture and please help this is due in 1 hour!

Answers

Answer:

4.7 Pounds

Step-by-step explanation:

[tex]14 \div 3≈4.6[/tex]

(Note: This symbol (≈) that looks like a squiggled equal sign means an approximate amount)

PLEASE HELP!! 35 POINTS!!!

ignore my writing if it’s wrong

Answers

Answer: sin(x)=5/11

Step-by-step explanation:

For #7, the hypotenuse is always the longest side of a triangle and in right triangles it's always the side that's opposite the right angle. MO, the side thats 11, is the hypotenuse in this triangle and not the adjacent side which would be NM. Therefore, you need to use sin=opp/hyp and get sin(x)=5/11


Here are four measurements.
20 cm, 1 m, 30 mm and 2.5 cm.
Order the measurements from
smallest to largest.



Answers

Answer:

30 mm, 2.5cm,20cm and 1m


A 5-pound bag of candy costs $13.05. What is the unit price?

Answers

Answer:

1.85 because: 9.25 divided by 5 equals 1.85

I hope I have helped you and if you like go to my profile that I also need a hand, thanks.

Please help
A survey asked, "Do you support capital punishment?" Of the 800 Americans surveyed, 550 responded no. For a 90% level of confidence, find the margin of error associated with the poll. Write your answer as a percent rounded to the tenths place.

MOE = %

Answers

Answer:

10% maybe

Step-by-step explanation:

because 90% said no and 10% said yes

I hope it helps you

Evaluate the formula for the area of a triangle to solve the problem.

The area of a sandbox = one-half base times height. The height is 2.4 meters and the base is 3.5 meters.

Lokota wants to build a sandbox for his little brother. Determine the amount of sand he needs by finding the area of the sandbox. Use the drop-down menus to complete the statements.

First, write the
.

Next, use parentheses when you substitute
for b and
for h.

Now, simplify by
1
2
, 2.4, and 3.5.

The area of the sandbox is
m².

Answers

The area of the triangle will be 4.2 square meters.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The height is 2.4 meters and the base is 3.5 meters.

Then the area of the triangle will be

Area = 1/2 x b x h

Then we have

Area = 1/2 x 3.5 x 2.4

Area = 4.2 square meters

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✔ formula: A =  1/2 bh

✔ 3.5

✔ 2.4

✔ multiplying

✔ 4.2

Step-by-step explanation:

Took quiz

Explain step by step how
to estimate the square root
of 13 and show your work

Answers

there is no good answer to this, but roughly 3.6. the best explanation is to find two numbers that multiply to itself to get close to 13. in this case, 3*3 will get us the closest in terms of whole number, so keep going. 3.5^2 is 12.25, so we are getting closer. 3.6^2 is 12.96. at that point, you would get smaller and smaller to a repeating number, so 3.605 is the closest really you can get

help will mark Brainliest!!​

Answers

The answer would be the first option.
0.03 is the lowest.

0.3 is the second lowest

0.35 is the highest

The answer is 0.03, 0.3, 0.35

Does the pair of ratios form a proportion?

85 , 42

18 9

Answers

Answer:

Not Proportional

Step-by-step explanation:

85:42 :: 18:9

85 x 9 = 42 x 18

765     =     776

They are not equal, so they cant be proportional.

Wendy’s Big Bacon Classic contains how many calories after calculating the
nutrients below?
44 grams Carbohydrate= _____ Calories
36 Grams of Fat= ______ Calories
37 Grams of Protein= _____Calories
explain please thanks

Answers

Answer:

44 grams carbohydrates = 176 calories

36 gram of fat = 324 calories

37 gram of protien = 148 calories

44 grams of Carbohydrates = 176 calories

36 grams of Fat = 324 calories

37 grams of Protein = 148 calories

To calculate the number of calories from each macronutrient (carbohydrates, fat, and protein), you need to know the caloric content per gram for each nutrient.

The caloric content per gram is as follows:

- Carbohydrates: 1 gram = 4 calories

- Fat: 1 gram = 9 calories

- Protein: 1 gram = 4 calories

Now, let's calculate the number of calories for each macronutrient in the Wendy's Big Bacon Classic:

1. Carbohydrates:

Calories from Carbohydrates = 44 grams × 4 calories/gram

Calories from Carbohydrates = 176 calories

2. Fat:

Calories from Fat = 36 grams × 9 calories/gram

Calories from Fat = 324 calories

3. Protein:

Calories from Protein = 37 grams × 4 calories/gram

Calories from Protein = 148 calories

In total, the burger would have 176 + 324 + 148 = 648 calories.

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Find the domain of the graphed function.
j
O A. 1sxs 5
O B. x2 2
O C. 2 sxs 5
D. xis all real numbers.

Answers

Answer:

A. -1 ≤ x ≤ 3

Step-by-step explanation:

According to the graph, our x-values span from -1 to 3. Since both are closed dot, they are inclusive in the domain:

[-1, 3] or -1 ≤ x ≤ 3

You have a textbook for each of the following subjects: Spanish, English, Chemistry, Geometry, History, and Psychology. If you choose 4 of these at random to arrange on a shelf, what is the probability that the Geometry textbook will be first from the left and the Chemistry textbook will be second from the left?

Answers

The probability that the Geometry textbook will be first from the left and the Chemistry textbook will be second from the left is 1/30

How to determine the probability?

The distribution of the books is:

Spanish, English, Chemistry, Geometry, History, and Psychology

The probability of choosing a Geometry book is:

P(G) = 1/6

Now, there are 5 books left.

The probability of choosing a Chemistry book is:

P(C) = 1/5

The required probability is:

P = 1/6 * 1/5

Evaluate

P = 1/30

Hence, the probability is 1/30

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.
A jar contains 11 green marbles, 6 red marbles, and 9 blue marbles. A marble is selected at random, not replaced, and then a second marble is selected. What is the probability of selecting a red marble followed by a green marble?

Answers

Answer:

red marbel

[tex] = \frac{3}{13} [/tex]

green marbel

[tex] = \frac{9}{26} [/tex]

Step-by-step explanation:

for the red marbel you first add all the number of balls given and the total is 26 then you take the number of red marbels dividing the total number of all the balls and if you are able to cancel out you can and there you get your answer same applies to the green marbel

The key phrase here is “not replaced”
The probability of choosing red first is 6/26
There are only 25 marbles left!
The probability of now picking green is 11/25.
So P(Red then Green) = 6/26 x 11/25 = 66/650 = 33/325


Which is more effective, the Pythagorean Theorem or The Six Trigonometric
Ratios?

Answers

Both methods of solving for lengths of a right triangle are effective. That being said, the Pythagorean theorem is well-known and only requires a student to know one equation (as well as where the legs/hypotenuse should be plugged in). The six trigonometric ratios are also helpful, and over time are something that students begin to recognize when looking at right triangles.

I believe that the Pythagorean theorem is more effective because of its simplicity and wide application. The six trigonometric ratios will not apply to every right triangle, and require more memorization.

Hope this helps!

What is the square root of 1 x pi

Answers

Answer:

3.14159265359 or simplify it to 3.14...

NEED HELP ASAP 45 POINTS

What sequence of transformations when applied to triangle HIG, shows that triangle HIG is similar to triangle H’I’G

Answers

Answer:

dilation with respect to the origin by a scale factor of 1/3 followed by a translation of 2 units down

Step-by-step explanation:

The sides of the △ HIJ are:

IH = 6

IJ = 3

Applying the scale factor we obtain the sides of △ H'I'J '.

The scale factor is k = 1/3.

Therefore, we have:

I'H '= 2

I'J '= 1

Then, we move the △ H'I'J 2 units down.

Can somebody please help me with this

Answers

Answer: 3

Step-by-step explanation:

Please Help!
Find tan x/2, given sin x = 3/5, with 90° < Θ < 180°

Answers

we know the angle is between 90° and 180°, 90° < θ < 180°, that means the angle is in the II Quadrant, where the sine is positive and the cosine is negative, with that info, let's find check a few things

[tex]sin(\theta )=\cfrac{\stackrel{opposite}{3}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - 3^2}=a\implies \pm\sqrt{16}=a\implies \pm 4 = a\implies \stackrel{II~Quadrant}{-4=a} \\\\[-0.35em] ~\dotfill[/tex]

[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{-4}}{\underset{hypotenuse}{5}} \\\\\\ tan\left(\cfrac{\theta}{2}\right)\implies \cfrac{sin(\theta)}{1+cos(\theta)}\implies \cfrac{ ~~ \frac{3}{5} ~~ }{1-\frac{4}{5}}\implies \cfrac{ ~~ \frac{3}{5} ~~ }{\frac{1}{5}}\implies \cfrac{3}{5}\cdot \cfrac{5}{1}\implies 3[/tex]

If a satellite can travel 200ft per second, how many hours will it take the satellite to travel 10,000 miles?

Answers

Let's examine what the problem gives us:

Distance ⇒ 10000 milesTime ⇒ 200 ft

What does the problem want:

  ⇒ time (in hours)

Must find the relationship between distance, speed, and time:

   ⇒ Distance = Speed * Time

       ⇒  [tex]Time = \frac{Distance}{Speed}[/tex]

Let's convert some units:

We want the time in hours and distance in miles, but we have speed in feet per sec, and we want miles per hour

               ⇒ let's convert

                  ⇒ [tex]\frac{200_.ft}{1_.s}*\frac{3600_.s}{1_.hr}*\frac{1_.mi}{5280_.ft}=136.36_. mi/hr[/tex]

Now let's solve:

   [tex]Time = \frac{Distance}{Speed}=\frac{10000_.mi}{136.36.mi/hr} =73.33_.hrs[/tex]

Answer: 73.33 hrs (estimated)

 

PLEASE HELP!!!!!!
George bought a cylindrical water tank for his garden, but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for it to sit on. The seller told him the volume of the tank is 300π cubic ft and its height is 10 ft.
What is the diameter of the tank? Round only your final answer to the nearest foot.

Answers

Answer:

12ft

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Help please I don’t get this one

Answers

Answer:

[tex]P = 8\pi[/tex]

Step-by-step explanation:

To solve this problem, we must calculate the circumference of one circle and multiply it by two because there are 2 circles (4 halves), that make up the perimeter.

We know the diameter is 4m, thus, the circumference of one circle (two halves) is:

[tex]C_1 = \pi d\\C_1 = \pi 4[/tex]

To get the total perimeter (circumference) multiply the result by 2:

[tex]C = C \times 2\\C = 4\pi \times 2\\C = 8\pi[/tex]

3. Don’s Clothing advertised a clothing sale. On the first day, all clothing was marked 1/10 off. On the second day, unsold items were marked 2/5, the third day, 3/10 off, and so on. If the markdowns continued this way, on which day were prices marked 4/5, or 80% off?

Answers

Don’s Clothing advertised a clothing sale and Following the markdowns, prices will be marked 4/5, or 80% off on : The Fourth Day

Meaning of advert and sale

An advert is a form of publicity or awareness done to increase sale or increase the purchase of goods from a company or organization. it makes the public aware of an offer made by an organization or company.

Sale is the exchange of goods or services for money. it is between the company or organization and the consumer.

In Conclusion, Don’s Clothing advertised a clothing sale and Following the markdowns, prices will be marked 4/5, or 80% off on The Fourth Day

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||||||
(Multiple Choice and Picture Attached) Will give Brainiest!!
Using the box-and-whisker plot shown, find the quartile values and
Q--8, Q, = 8
8

O
Q=-4, = 6
6
O
q=-4, = 8
8
--8,Q,- 4

Answers

Answer:

Q1 = -4, Q2 = 6

Step-by-step explanation:

In this box-and-whisker plot, the first vertical line is the first quartile (-4), the second vertical line is the median (4), and the vertical line is the third quartile (6). The box contains the middle 50% of the data set.

Which ratio represents the number of vowels to total letters in the word JACKSONVILLE?

Answers

Step-by-step explanation:

4:12 there are four vowels and 12 letters?

Please help me do this question mathematics genius

Answers

The expression for the change of the variable z is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).

How to find the total differential of a multivariate function

In this question we must apply the concept of total differential to determine the change of the variable z in terms of the changes in variables x and y. That is:

[tex]\Delta z = \frac{\partial f}{\partial x}\cdot \Delta x + \frac{\partial f}{\partial y}\cdot \Delta y[/tex]     (1)

If we know that z = sin (x³ + y³), Δx = 0.3 and Δy = 0.2, then the expression for the change of z is:

[tex]\Delta z = 3\cdot \cos (x^{3}+y^{3})\cdot x^{2}\cdot (0.3)+3\cdot \cos (x^{3}+y^{3})\cdot y^{2}\cdot (0.2)[/tex]

Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³)

The expression for the change of the variable z is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).

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Simplify: (12j2)5(25j3)2.

Answers

What is the j equal in this equation

Simplified

[tex](2^3\cdot3\cdot5^3j^5)[/tex]

Step-by-step explanation:

[tex](((12 \cdot (j2)) \cdot 5) \cdot 52j3) \cdot 2[/tex]

[tex](((22\cdot3j2) \cdot 5) \cdot 52j3) \cdot 2[/tex]

[tex]((22\cdot3\cdot5j2) \cdot 52j3) \cdot 2[/tex]

[tex]2^(^2^+^1^) = 2^3[/tex]

[tex](2^3\cdot3\cdot5^3j^5)[/tex]

Select the correct answer.
A pizza restaurant starts the day with a certain amount of pizza dough. The length of time the dough will last varies inversely with the number of
medium pizzas made.
If they need to make 32 medium pizzas, the dough will last 5 hours. How long will the dough last if they need to make 40 pizzas?
OA 2.75 hours
OB. 4 hours
OC.
8 hours
OD. 6.25 hours

Answers

The length of time needed for the dough to last if 40 pizzas is required is 4 hours.

Inverse variation

let

length of time = lnumber of pizza = p

l = k / p

where,

k = constant of proportionality

If l = 5 and p = 32

l = k / p

5 = k / 32

5 × 32 = k

160 = k

Find l when p = 40

l = k / p

l = 160/40

l = 4 hours

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