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
Lemur [1.5K]
3 years ago
6

What is the point-slope form of a line with slope 3 that contains the point (2,1)?

Mathematics
1 answer:
Serjik [45]3 years ago
8 0

Answer:

A) y-1=3(x-2)

Step-by-step explanation:

Point-slope formula.

y-y_1=m(x-x_1)

Given.

Slope (m) = 3

Points (x, y) = (2, 1)

You might be interested in
A tangent line and its normal line have a point of tangency to the function f(x) at (x,y). If the slop of the normal line is m=(
alekssr [168]

Answer:

\displaystyle \\\left(\frac{49}{900},\frac{3761}{900}\right) or approximately (0.544, 4.179)

Step-by-step explanation:

A function and its tangent lines intersect when their slopes are the same. Find the x-coordinate when the slope of f(x) is equal to 8/7 by taking the derivative of f(x):

\displaystyle\\f(x)=\sqrt{x}-x+4\\f'(x)=\frac{1}{2}\cdot\frac{1}{\sqrt{x}}-1=\frac{1}{2\sqrt{x}}-1

Set f'(x) equal to 8/7 and solve for x:

\displaystyle \\\frac{1}{2\sqrt{x}}-1=\frac{8}{7},\\x=\frac{49}{900}

Therefore, f(x) will intersect at a point of tangency with a line of slope 8/7 at x=49/900. Plug in x=49/900 into f(x) to get the y-coordinate:

\displaystyle\\y=\sqrt{x}-x+4 \vert_{x=49/900}=\frac{3761}{900}

⇒Answer: (49/900, 3761/900) or approximately (0.544, 4.179)

5 0
3 years ago
*EXTRA POINTS*
SashulF [63]

Answer:

geometric sequence

ratio

2

3 0
3 years ago
What two number multiply to -21 and add to 20
aliya0001 [1]
21 * (-1) = -21
21 + (-1) = 20
6 0
3 years ago
Read 2 more answers
Line m is parallel to line n.If the slope of line m is -2,what is the slope of line n?
Akimi4 [234]

Answer:

-2

Step-by-step explanation:

they are parallel so same slope but different y intercepts

5 0
3 years ago
What is the definition of “i”? What do we use it for? Demonstrate with an example of your own.
lyudmila [28]

Answer:

The letter "i" is used to signify that a number is an imaginary number.

Step-by-step explanation:

An imaginary number is one that gives a negative result when squared. This differs from when you square real numbers where you always get a positive result. For example:

i = √-1

Imaginary numbers can be especially useful when trying to find the square root of a real negative number such as -16. Normally we cannot find the square root of -16 but through the use of imaginary numbers we can:

√-16 = 4i

~Hope this helps!~

6 0
3 years ago
Other questions:
  • 100\400<br> As a percentage
    5·2 answers
  • Attached is a screenshot of another problem I am having issues with. please please please help me
    10·1 answer
  • 2000 tickets were sold in exhibit on Saturday the cost of a ticket for an adult is four dollars and for a child is two dollars a
    11·1 answer
  • Solve this question 6×(11+3)
    10·2 answers
  • 2x-y=6 and 5x+10y=-10
    8·1 answer
  • PLEASE ANSWER ASAP<br> If the measure of UV is 84°, what is the measure of YUV? (SEE PICTURE)
    13·2 answers
  • Find the area of each sector.
    14·1 answer
  • Which ordered pair is a solution? Select all that apply
    13·1 answer
  • State the domain and range of each of the following functions <br> Please help!!!
    14·1 answer
  • 81/8=1/3v+25/8-23/6v
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!