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
Fiesta28 [93]
3 years ago
13

Question 3. Find the distance between P(4,5) and the line with equation 8x + 5y = 20​

Mathematics
1 answer:
earnstyle [38]3 years ago
8 0

Answer:

Step-by-step explanation:

8x+5y = 20

y = (-8/5)x + 4

slope of the line is -8/5.

slope of any perpendicular to the line is ⅝.

line of slope ⅝ that passes through P(4,5):

y-5 = ⅝(x-4)

y = ⅝x + 2.5

find intersection of lines

⅝x + 2.5 = (-8/5)x + 4

25x + 100 = -64x + 160

89x = 60

x = 60/89, y = 260/89

distance between (60/89, 260/89) and (4,5) = 3.92

You might be interested in
What type of system is the following set of equations?
iVinArrow [24]
-3x+y=-2 \\
y-4=-6x \ \ \ |\times (-1) \\ \\
-3x+y=-2 \\
\underline{-y+4=6x} \\
-3x+y-y+4=6x-2 \\
-3x+4=6x-2 \\
-3x-6x=-2-4 \\
-9x=-6 \\
x=\frac{-6}{-9} \\
x=\frac{2}{3} \\ \\
y-4=-6 \times \frac{2}{3} \\
y-4=-4 \\
y=-4+4 \\
y=0 \\ \\
(x,y)=(\frac{2}{3},0)

The system has one solution so it's A. consistent and independent.
7 0
3 years ago
A straight line that is parallel to one of the sides of a given triangle intersects its other two sides (or their extensions) an
timurjin [86]

Answer:

We know that this triangle is similar because it will have all of the same angles as the first triangle. This is because two parallel lines cut by a transversal will create the same angles. In addition, they share the final angle because we are not changing that angle. Therefore, all 3 are the same, which makes them similar triangles.


6 0
3 years ago
Read 2 more answers
Can someone help please!<3
elena-s [515]
The equation that works for this is
y=1/7x + 0! It is parallel and goes through (0,0)
Hope this helps :)
8 0
2 years ago
If Peter piper picked a pepper how many peppers does he have?
Ilya [14]

Answer:

1

Step-by-step explanation:

You said peter picked only one pepper

8 0
3 years ago
Please someone help me with this please
Elodia [21]
Help u with what I need to know what u need help on
3 0
3 years ago
Other questions:
  • $5,000 has been deposited into a savings CD that earns 6.5% annual interest
    13·1 answer
  • 6x+7=4x+4y complete the missing value (_,4)
    15·1 answer
  • Well here's the question for those who "couldn't see it" -_-
    8·1 answer
  • Can you do multiplication.
    8·1 answer
  • I need help with this problem in the image. Please.
    11·1 answer
  • Please help!!!!
    11·1 answer
  • 1/2 as long as 6 meters
    14·1 answer
  • The area of triangle is 48 cm sq,its base is 12 cm. find its altitude​
    15·1 answer
  • 3^16 as a power of 1/9
    11·1 answer
  • Solve the system of linear equations.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!