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
zlopas [31]
2 years ago
7

Two cars, one going due east at 25 m / sec and the second going due south at 50/3 m / sec are traveling toward the intersection

of the two roads they are driving on. At what rate are the two cars approaching each other at the instant when the first car is 200 m and the second car is 150 m from the intersection?
Mathematics
1 answer:
valkas [14]2 years ago
4 0

Answer:

30 m/s

Step-by-step explanation:

Let's say the distance from the first car to the intersection is x, and the distance from the second car to the intersection is y.

The distance between the cars can be found with Pythagorean theorem:

d² = x² + y²

Taking derivative with respect to time:

2d dd/dt = 2x dx/dt + 2y dy/dt

d dd/dt = x dx/dt + y dy/dt

We know that x = 200, dx/dt = -25, y = 150, and dy/dt = -50/3.

To find dd/dt, we still need to find d.

d² = x² + y²

d² = (200)² + (150)²

d = 250

Plugging everything in:

250 dd/dt = (200) (-25) + (150) (-50/3)

dd/dt = -30

The cars are approaching each other at a rate of 30 m/s at that instant.

You might be interested in
Product FIFO LIFO
Julli [10]

Answer:

The null hypo would be the difference is greater than 0

so the alternate hypothesis would be less than or equal to 0

H1: µd ≤ 0

8 0
3 years ago
A bag contains blue and yellow marbles. Two marbles are drawn without replacement. The probability of selecting a blue marble an
exis [7]
 blue marbles
y = yellow marbles
 Sum = b+y
 The <span>chance of a blue marble being drawn first is:
b / (b+y) = 0.55 
</span>The <span>chance of a blue marble being drawn first then a yellow next is:
</span>b / (b+y) * y / (b+y-1) = 0.37
This can be solve easily by using a theorem of Bayes 
0.37/0.55 = .67 or 67%
7 0
3 years ago
Is the ordered pair (2,1) the solution the the equation y=1-x
AleksAgata [21]
(x,y)
(2,1)
sub 2 for x and 1 for y and see if you get a true statemtn

2=x
y=1
1=1-2
1=-1
false
no it is not a soluiton
4 0
2 years ago
How to write -2x + y = -3 in slope intercept form? Preferably with steps.
Montano1993 [528]

Answer:

y = 2x - 3

Step-by-step explanation:

Start by writing out the given equation.

-2x + y = -3

The goal is to isolate the variable y.

For this equation, all you need to do is add 2x to each side.

-2x + y + 2x = -3 + 2x

Therefore, the answer is y = 2x -3.

I don't know if you are are familiar with the equation y = mx + b, but here's a little refresher. m is the slope, or in this case 2. b is the y-intercept, or in this case -3.

The equation y = mx + b is slope intercept form, so if you know this, you should be able to write any equation in slope intercept form.

Hope this helps!

6 0
3 years ago
Need help with math problem if do 5 stars
Harrizon [31]

Answer:

the answer is $41 the cost of beans

4 0
2 years ago
Other questions:
  • My guess is D i have no idea
    15·1 answer
  • What is the greatest common factor of the terms in the polynomial 12x4 + 2x3 –30x2? x x2 2x 2x2
    7·2 answers
  • What are 2 equilateral triangles?
    11·1 answer
  • A number divided by .05 is 29
    9·2 answers
  • The hard drive on your computer has a capacity of 160 gigabytes (GB). You have used 122 GB. You want to save some home videos to
    5·2 answers
  • Gcf of 6w square - 14w
    15·1 answer
  • How many gallons of water will a rectangular tank hold if the base is a square that is 8 feet 10 inches on one side and the tank
    14·1 answer
  • I’m so confused lol need help
    6·2 answers
  • Find the surface Area. ​
    6·1 answer
  • QS and RT are diagonals of parallelogram QRST. RT = 21, SU = 9, and angle RQT = 101. Find RU and QS.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!