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
solmaris [256]
3 years ago
9

Write the point-slope form of the equation of the line that passes through the point (1, 3) and has a slope of 2. Include your w

ork in your final answer. Type your answer in the box provided to submit your solution.
Mathematics
1 answer:
Andru [333]3 years ago
7 0

Answer:

y - 3 = 2(x - 1).

Step-by-step explanation:

Point-slope form is

y - y1 =m(x - x1)

Here m (slope) = 2 , x1 =  1 and y1 = 3:

y - 3 = 2(x - 1).

You might be interested in
Complete the square to transform the quadratic equation into the form
faltersainse [42]

The square of a binomial is written like

(x\pm a)^2 = x^2\pm 2ax + a^2

In your case, you have 2ax=-8x, which implies a=-4

So, we want to write

(x-4)^2 = x^2-8x+16

But our left hand side is

x^2-8x-10

If we add 26 to both sides, we have

x^2 - 8x - 10 +26 = 18+26 \iff x^2-8x+16=44 \iff (x-4)^2=44

7 0
3 years ago
20℅ of your employees work part time What fraction of the employees work part time
telo118 [61]
1/5
A fifth of your employees ..
4 0
3 years ago
Read 2 more answers
(c). It is well known that the rate of flow can be found by measuring the volume of blood that flows past a point in a given tim
aleksklad [387]

(i) Given that

V(R) = \displaystyle \int_0^R 2\pi K(R^2r-r^3) \, dr

when R = 0.30 cm and v = (0.30 - 3.33r²) cm/s (which additionally tells us to take K = 1), then

V(0.30) = \displaystyle \int_0^{0.30} 2\pi \left(0.30-3.33r^2\right)r \, dr \approx \boxed{0.0425}

and this is a volume so it must be reported with units of cm³.

In Mathematica, you can first define the velocity function with

v[r_] := 0.30 - 3.33r^2

and additionally define the volume function with

V[R_] := Integrate[2 Pi v[r] r, {r, 0, R}]

Then get the desired volume by running V[0.30].

(ii) In full, the volume function is

\displaystyle \int_0^R 2\pi K(R^2-r^2)r \, dr

Compute the integral:

V(R) = \displaystyle \int_0^R 2\pi K(R^2-r^2)r \, dr

V(R) = \displaystyle 2\pi K \int_0^R (R^2r-r^3) \, dr

V(R) = \displaystyle 2\pi K \left(\frac12 R^2r^2 - \frac14 r^4\right)\bigg_0^R

V(R) = \displaystyle 2\pi K \left(\frac{R^4}2- \frac{R^4}4\right)

V(R) = \displaystyle \boxed{\frac{\pi KR^4}2}

In M, redefine the velocity function as

v[r_] := k*(R^2 - r^2)

(you can't use capital K because it's reserved for a built-in function)

Then run

Integrate[2 Pi v[r] r, {r, 0, R}]

This may take a little longer to compute than expected because M tries to generate a result to cover all cases (it doesn't automatically know that R is a real number, for instance). You can make it run faster by including the Assumptions option, as with

Integrate[2 Pi v[r] r, {r, 0, R}, Assumptions -> R > 0]

which ensures that R is positive, and moreover a real number.

5 0
2 years ago
A group of 20 students are going to watch a basketball game. It cost $10 for 4 students to watch a game. How much will the group
ivolga24 [154]
They will pay 15 dollars
6 0
2 years ago
The length of a rectangle is 1.2 × 10-4 kilometer. the width of the rectangle is 6.25 × 10-5 kilometer.what is the area in squar
Serhud [2]
We have 1.2 × 10^(-4)  x 6.25 × 10^(-5 )  = 7,5 x 10^(-9) = 75 x 10^(-10) square kilometers.
3 0
2 years ago
Other questions:
  • If Anita uses a total of 15 orange balloons how many green balloons should she use
    9·1 answer
  • Find the slope of the line. REMEMBER: Slopes must be simplified.
    8·2 answers
  • In isosceles triangle △ABC,
    8·1 answer
  • All integer are rational number. true or false? please explain
    12·2 answers
  • The described situation requires inference about a mean or means. Identify the response variable and whether the setting involve
    7·1 answer
  • Sally used 3/4 cup of milk to make pancakes, 5/8 cup of milk to make scrambled eggs, and 1/2 cup of milk to make biscuits. How m
    12·1 answer
  • Which of the following square roots is best represented by Point A?<br> A<br> 3<br> 4
    9·1 answer
  • A bookstore in the mall is trying to determine how many mall shoppers are interested in purchasing
    13·1 answer
  • PLEASE I NEED HELP TO ALL!!​
    8·2 answers
  • What is the inverse of f(x)=4x+5?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!