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
Kaylis [27]
3 years ago
14

Consider the line y=1 x -1 and the point P=(2,0).

Mathematics
1 answer:
Montano1993 [528]3 years ago
8 0

Answer:

Step-by-step explanation:

d(x)=√((x-2)2+(y-0)²)

=√((x-2)²+y²)

=√((x-2)²+(x-1)²)

=√(x²-4x+4+x²-2x+1)

=√(2x²-6x+5)

D=d²(x)=2x²-6x+5

b.\\\frac{dD}{dx}=4x-6\\\frac{dD}{dx}=0,gives \\4x-6=0\\x=\frac{3}{2}\\\frac{d^2D}{dx^2}=4 >0 at x=\frac{3}{2}\\so~D~or~d^2~or~d~is~minimum~at~x=\frac{3}{2}\\so~y=1(\frac{3}{2} )-1=1/2=0.5\\so~nearest~point~is~(1.5,0.5)

You might be interested in
Is this perpendicular, parallel, or neither?<br>y=4x+5 <br>2x+8y=16
ANEK [815]
Its perpendicular, if you need me to explain lmk
6 0
3 years ago
Q5: The probability that event A occurs is 5/7 and the probability that event B occurs is 2/3 . If A and B are independent event
bekas [8.4K]

Answer:

P(A \cap B)

And we can use the following formula:

P(A \cap B)= P(A)* P(B)

And replacing the info we got:

P(A \cap B) = \frac{5}{7} \frac{2}{3}= \frac{10}{21}=0.476

Step-by-step explanation:

We define two events for this case A and B. And we know the probability for each individual event given by the problem:

p(A) = \frac{5}{7}

p(B) = \frac{2}{3}

And we want to find the probability that A and B both occurs if A and B are independent events, who menas the following conditions:

P(A|B) = P(A)

P(B|A) = P(B)

And for this special case we want to find this probability:

P(A \cap B)

And we can use the following formula:

P(A \cap B)= P(A)* P(B)

And replacing the info we got:

P(A \cap B) = \frac{5}{7} \frac{2}{3}= \frac{10}{21}=0.476

7 0
3 years ago
Evaluate (6.1 x 10-3) (8 x 109). Write your answer in scientific notation and standard form.
DerKrebs [107]

Answer:

Scientific Notation: 4.88 ×10^7

Standard Form: 4.88 ×10^7

Step-by-step explanation:

6.1×10^(-3) = 0.0061

8×10^9 = 8000000000

0.0061×8000000000 = 48800000

= 4.88 \times  {10}^{7}

3 0
3 years ago
Using first principle find the derivative of y=3(2x+4)^2​
vfiekz [6]

Answer:

fhgfcbhfftikjg_-+64-+--_-+6-&+

Step-by-step explanation:

5+-"_-&&76$&+655+65-+65&-5_

3 0
3 years ago
The table shows the possible outcomes of spinning the given
olganol [36]

Spinning the spinner and tossing the coin is an illustration of probability

The probability of spinning a 1 and tossing a head is 0.10

<h3>How to determine the probability?</h3>

From the table, we have the following parameters:

Total outcomes, n = 10

A 1 and a head, n(H1) = 1

So, the probability of spinning a 1 and tossing a head is:

P(H1) = n(H1)/n

Substitute known values

P(H1) = 1/10

Evaluate the quotient

P(H1) = 0.10

Hence, the probability of spinning a 1 and tossing a head is 0.10

Read more about probability at:

brainly.com/question/251701

4 0
2 years ago
Other questions:
  • Solve the linear system of equations using addition. Graph the equations to verify your solution.
    10·1 answer
  • Which expression is equivalent to square root of 9x^2?
    8·2 answers
  • Christopher has 3/4 of a pie . Alex has 2/3 of a pie. Jaden has 1/2of a pie. Who has the biggest amount? Who has the least? How
    13·1 answer
  • Starting time2:00 pm Ending time 8:30 what was the elapsed time
    9·2 answers
  • The base of a rectangular solid is a square with a side of the length a cm. The height of the rectangular solid is b cm and its
    11·1 answer
  • Plz help me find the unit rate and explain.
    13·1 answer
  • Find an equation in slope-intercept forma for the línea with slope -12 and y-intercept=1/2​
    9·2 answers
  • Is it ok if you can just give me a quick answer?<br>​
    9·2 answers
  • PLEASE HELP!!!!! 1.) Line a passes through points (-2, 1) and (2, 9). Write an equation in slope intercept form that is parallel
    7·2 answers
  • I need the answer. Thank you
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!