1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
serg [7]
3 years ago
13

Write the equation of the line that passes through the points (4,-6) and (-2,3)

Mathematics
1 answer:
yarga [219]3 years ago
7 0

Here is your answer and an explanation

Answer: y = -2/3x

Explanation:

This can be determined by calculating the gradient of the straight line, using:

m=ΔyΔx

=−6−34−(−2)

=−96

=−32

Then we use the slope-point form of the straight line:

y−y1=m(x−x1)

to give:

y−3=−32(x−(−2))

∴y−3=−32(x+2)

∴y−3=−32x−3

∴y=−32x

You might be interested in
What is the measure of ∠XBC?
Mekhanik [1.2K]

i’m pretty sure it’s 180 degrees

7 0
3 years ago
Read 2 more answers
Find mu if mu equals Summation from nothing to nothing [x times Upper P (x )]. ​Then, find sigma if sigma squared equals Summati
Stella [2.4K]

Answer:

mu = x√P(x) - £

£ = x√P(x) - xP(x)

Step-by-step explanation:

We have two equations there. Laying them simultaneously, we can derive the formula for "mu" and sigma. Let sigma be "£"

Equation 1

mu = £[xP(x)]

Equation 2

£^2 = x^2 P(x) - (mu)^2

Since we have sigma raised to power 2 (that is sigma square), we find sigma by square rooting the whole equation.

Hence sigma is equal to

[x√P(x) - mu] ...(3)

Since mu = xP(x), we substitute this into equation (3) to get

Sigma = x√P(x) - xP(x)

mu = x√P(x) - £

8 0
3 years ago
write a money problem that shows money being added to and subtracted from a bank account then solve the problem
ANTONII [103]
Sarah has $176 in her bank account. On Christmas, Sarah went to buy a present for her family she bought 5 items which totaled to $58, and because she spent $58 she got $10 added back into her account. How much money does she have in her account now?

She has $128 in her bank account
4 0
3 years ago
Please help me with steps on a piece of paper will be good.
Dafna1 [17]
Here’s my answer ! Hope this makes sense:)

5 0
3 years ago
A rectangular garden of area 480 square feet is to be surrounded on three sides by a brick wall costing $ 12 per foot and on one
seraphim [82]

Answer:

Therefore the dimensions of the rectangular garden are 23.42 ft by 20.5 ft.

Step-by-step explanation:

Given that,

A rectangular garden of area 480 square feet.

Let length of the rectangular garden be x which is surrounded by fence and width of the rectangular garden be y.

Then xy is the area of the given rectangular garden .

Then,

xy= 480

\Rightarrow y=\frac{480}{x}

The length of the tree sides which are surrounded by brick wall is = 2y+x.

The cost for the brick wall is =Length×cost per feet= $12(2y+x)

The cost for the fencing is =Length×cost per feet= $ 9x

\therefore C=12(2y+x)+9x

Now putting y=\frac{480}{x}

\therefore C=12(2.\frac{480}{x}+x)+9x

\Rightarrow  C=\frac{11520}{x}+21x

Differentiating with respect to x

C'=-\frac{11520}{x^2}+21

Again differentiating with respect to x

C''=\frac{23040}{x^3}

Now we set C'=0

\therefore-\frac{11520}{x^2}+21=0

\Rightarrow\frac{11520}{x^2}=21

\Rightarrow x^2=\frac{11520}{21}

\Rightarrow x\approx 23.42

C''|_{x=23.42}=\frac{23040}{(23.42)^3}>0.

Since at x=23.42,C''>0. So at x=23.42, the total cost will be minimum.

The width of the rectangular garden is y=\frac{480}{x}

                                                                    =\frac{480}{23.42}

                                                                    \approx 20.5

Therefore the dimensions of the rectangular garden are 23.42 ft by 20.5 ft.

The cost of the material is C=\frac{11520}{x}+21x

                                                 =\frac{11520}{23.42}+21\times 23.42

                                                 =$983.70

5 0
3 years ago
Other questions:
  • What does a represent? <br><br> A.foci<br> B. Minor axis<br> C. Major axis <br> S. Vertices.
    13·1 answer
  • Algebra 2 (2 questions) do anyone know ? Please respond !!!
    8·1 answer
  • Suppose 12% of students chose to study Spanish their freshman year, and that meant that there were 15 such students. How many st
    15·1 answer
  • when full, the gas tank of a car can hold 15 gallons. It now contains 12 gallons. What percent represents how full the tank is?
    9·1 answer
  • In the regular octagon, the numeric value of the area of the shaded region is twice more than the numeric value of the length of
    7·1 answer
  • All equilateral triangles are _____ triangles.<br><br> scalene<br> right<br> obtuse<br> acute
    10·2 answers
  • If you can buy 1⁄4 pizza for 5 dollars, how much can you purchase for 8 dollars? Write your answer as a fraction.
    10·1 answer
  • What is the perimeter of the rhombus below?
    8·1 answer
  • PLEAAASE HELP! i will manifest good things for you. i will mark u brainliest LOL
    8·1 answer
  • Slope: -1 intercept: -7.9
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!