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
d1i1m1o1n [39]
3 years ago
12

Car b is 250 miles east from car a, car b is traveling west 60mph while car a is traveling north 80mph. What is the minimum dist

ance between the two cars? What time does the minimum distance occur?​
Mathematics
1 answer:
Bogdan [553]3 years ago
8 0

Answer:

d = 200 miles

t = 1.5 hrs after start

Step-by-step explanation:

Set the origin at car a starting point.

equation for distance to car b

x = 250 - 60t

equation for distance to car a

y = 80t

distance between car a and car b

d = √((250 - 60t)² + (80t)²)

d = √(62500 - 30000t + 3600t² + 6400t²)

d = √(62500 - 30000t + 10000t²)

d = 100√(6.25 - 3t + t²)

setting the derivative to zero

0 = 100t - 150 / √(t² - 3t - 6.25)

The denominator cannot be zero, so the numerator must

0 = 100t - 150

150 = 100t

t = 1.5 hrs

d = √((250 - 60(1.5))² + (80(1.5))²)

d = √(160² + 120²)

d = 200 miles

You might be interested in
Which of the following is an integer?<br> 0.5<br> 1<br> 3/2
Vinil7 [7]
Yeah the answer is one
3 0
3 years ago
Read 2 more answers
Write the equation of the line that passes through the points (4, -3) and
vivado [14]

Answer:

y+3=-5(x-4)

Add 20 characters to explain the point

8 0
3 years ago
Which ordered pair represents the translation of R to S?
shtirl [24]
I believe it is -3, 5
8 0
3 years ago
What is the value of x?
charle [14.2K]
Hey Rireneb!

This is a pretty simple Geometry question, so I will explain it in-depth for you to understand clearly! What you have displayed in the image is an isosceles triangle, meaning that both base angles are congruent (to each other). You know that the angle opposite to the base is 93.5, so you can subtract that from 180 and get 180-93.5=86.5
So, your base angles must be equal AND equal 86.5 when added up. So you must do the following, 86.5/2, which would get you to the answer 43.35. So, 43.25 is the value of each base angle, meaning that x = 43.25. Finally, the most appropriate answer to your question would be option 2!

Hope I was able to help! If you need any more help, please let me know and I will further assist you.
3 0
3 years ago
Read 2 more answers
What type of slope does this graph show?
Anettt [7]

Answer:

Positive.

Step-by-step explanation:

(self-explanatory)

4 0
3 years ago
Other questions:
  • Which graph represents the solution to the given system? (1 point) <br> Y=-3x+4 and y=2x-1
    15·1 answer
  • What is 2.03_2.021 greater than less then or equal to !?
    14·2 answers
  • How many solutions does the equation 9x +3=9x + 5 have?
    10·2 answers
  • How many solutions 2x+3y=-3 and 3x + 5y = -9
    8·1 answer
  • SOMEONE PLEASE HELP MEEE!!!! HOW DO YOU DO THIS
    12·1 answer
  • Gcf of 6w square - 14w
    15·1 answer
  • Two different random samples were used to determine students’ favorite park in town. The results are below. Make at least two in
    7·2 answers
  • To the nearest tenth, the P( -2.1 &lt; z &lt; 0) is:
    7·1 answer
  • 4 + 2x - 7 = 12<br><br> ?????
    8·2 answers
  • Solve the inequality x^2-4x-7&lt;0
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!