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
Allisa [31]
4 years ago
10

A tangent to the curve y=6x-x² cuts the x axis at point P. Find the coordinates of P. Help me calc the coordinates please​

Mathematics
1 answer:
Ilya [14]4 years ago
6 0

We know that the line is tangent at the point (2,8)

The derivative of the function at x=2 is

f'(x) = 6-2x \implies f'(2) = 6-4=2

So, the tangent line passes through the point (2,8) and has slope 2. The equation is

y-8 = 2(x-2) \iff y = 2x+4

This line crosses the x axis where y=0:

0 = 2x+4 \iff 2x = -4 \iff x = -2

You might be interested in
Three vertices of a square are given. Find the coordinates of the fourth vertex. (_5, 5), (_5, 2), (_2, 2)
Katena32 [7]
<span>If you plot these points, you can probably see where the missing square corner is. But you might also notice that a square's sides are equal length. Between the first two coordinate pairs, the only thing that changes is the y value, from 5 to 2, or a change of 3. Between the 2nd two coordinate pairs, only the x value changes, from -5 to -2, or a change of 3. So it looks like the sides are 3 units long. The fourth coordinate should be 3 units away on the x coordinate from one "neighbor" and 3 units away on the y coordinate from its other neighbor. But it really would help to sketch it out so you don't get mixed up.
</span><span>(-2, 5)</span>
4 0
3 years ago
Examine the following set of real numbers:
Sunny_sXe [5.5K]

Answer:

  none

Step-by-step explanation:

All of the numbers in the set shown here have a finite number of digits, hence are rational.

There are no irrational numbers in the set.

6 0
3 years ago
Dennis has 30 plums and 42 apricots. he wants to put the fruit in bag so that each bag has the same number of like fruit. how ma
kondaur [170]

Solve.

<span>Mr. Madison picked 80 pieces of fruit on Thursday.</span>Add.

<span>042412+ 40<span>80
</span></span>
5 0
3 years ago
In a game of checkers, there are 12 red game pieces and 12 black game pieces. Julio is setting up the board to begin playing. Wh
Varvara68 [4.7K]
1/2 (One and a half) since 12 and 12 are even and there would be a fifty fifty chance of getting one or the other or two of the same.
7 0
4 years ago
Browning, montana, holds the u.S record for the greatest temperature drop in one day. On january 23, 1916, the temperature chang
dmitriy555 [2]

Answer:

Total temperature change 104.25 f.

Step-by-step explanation:

Average temperature change is calculated by dividing total temperature change by the total hours it took for the change.

We have been given the average temperature change.

We have to multiply average temperature change by the total number of hours it took for the temperature to change we get the total temperature change.

⇒ Total temperature change =  Average temperature change * total hours

                                                = -4.17*25

                                                 =104.25 f

4 0
4 years ago
Other questions:
  • Sally has a job selling computers and is given two payment options. Option A pays for her weekly wage of $120 plus $4 for each c
    14·1 answer
  • Pleaaaase help me with this and explain
    15·1 answer
  • In a club there are 10 women and 7 men. A committee of 6 women and 4 men is to be chosen. How many different ways are there to s
    10·1 answer
  • -4 + 3 + (-2) + 1 1/4 =
    5·1 answer
  • HELP PLEASE !!!!
    14·2 answers
  • What is the slope of the line that is graphed below ?
    9·1 answer
  • X/4 &lt; 2 <br>PLEASE SHOW WORK!!!! I NEED HELP I ONLY HAVE UNTIL 12 AND I HAVE TONS MORE QUESTIONS​
    10·1 answer
  • Which graph represents a function with direct variation? A coordinate plane with a line passing through (negative 4, 0) and (0,
    5·2 answers
  • Help!!!!!! Quick answers pls
    15·1 answer
  • Which of the following is a geometric sequence?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!