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
mamaluj [8]
3 years ago
14

Two cars are moving away from an intersection along roads that make a 90 degree angle. The first car is 100 feet from the inters

ection and is travelling at a rate of 30 ft/s. The second care is 150 feet away from the intersection and is travelling at a rate of 40ft/s. Find the rate of change of the distance between the cars after one second.
Mathematics
1 answer:
AleksAgata [21]3 years ago
3 0
D = sqrt(x^2 + y^2); where x = 100 ft, y = 150 ft, dx/dt = 30ft/s, dy/dt = 40ft/s
After one second, x = 130 ft, y = 190 ft

ds/dt = (2x dx/dt + 2y dy/dt)/(2sqrt(x^2 + y^2) = (2(130)(30) + 2(190)(40)) / 2sqrt(130^2 + 190^2) = (7,800 + 15,200) / 2sqrt(16,900 + 36,100) = 23,000 / 2sqrt(53,000) = 49.95 ft/s

Therefore, the rate of change of the distance between the cars after one second is approximately 50 ft/s.
You might be interested in
PLEASE HELP IM BEING TIMED
Triss [41]

Answer:

I can’t see it good

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The product of a number and 12 is nomore than 15
allsm [11]

Answer:

As an equation, the product of a number and 12 is no more than 15 would be:

12n ≤ 15

N would represent the number.

≤ means less than or equal to, which is the same as "no more than".

5 0
3 years ago
40 POINTS PLS HELP IMEDIATLY
MakcuM [25]
Part A)
If f(x) - 3 is the new equation, it means there is a vertical translation of f(x) down 3 units. The y-intercept will decrease by 3 units. Areas of increasing on the function may be lessened as the function is being translated down 3 units. The areas of decrease will increase because the function is being translated down. End behaviour will not change from a translation as long as the function is continuous at each end, (not a finite function with end points). The evenness or oddness of f(x) will not change either.

Part B:
The y-intercept will be flipped horizontally about the x-axis and multiplied by 2. This will mean that if the y-intercept was positive, it will now be negative and vice versa. The increasing and decreasing regions of the graph will be flipped, so anywhere f(x) was positive will now be negative and vice versa. They will also be double what they were before because all values are multiplied by 2. The end behaviour will switch. If f(x) was from Quad1->Quad3 for example, it will now be Quad2->Quad4 because of the flip at the x-axis. The evenness and oddness of the function will not change seeing as the degree of f(x) is not affected.
6 0
3 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
sashaice [31]

Answer:

k = –10

Step-by-step explanation:

From the question given above, the following data were obtained:

f(x) = x³ – 6x² – 11x + k

Factor => x + 2

Value of K =?

Next, we shall obtained the value of x from x + 2. This is illustrated below:

x + 2 = 0

Collect like terms

x = 0 – 2

x = –2

Finally, we shall determine the value of k as illustrated below:

f(x) = x³ – 6x² – 11x + k

x = –2

Thus,

f(–2) = 0

x³ – 6x² – 11x + k = 0

(–2)³ – (–2)² – 11(–2) + k = 0

–8 – (4) + 22 + K = 0

–8 – 4 + 22 + K = 0

10 + k = 0

Collect like terms

k = 0 – 10

k = –10

Thus, the value of k is –10

7 0
3 years ago
1. Solve the equations below.
Sergio039 [100]

Step-by-step explanation:

A) 3x + 8 = 23

3x = 23 - 8

3x = 15

x = 15 / 3 = 5

B) 5x + 1 = 3x + 17

5x - 3x = 17 - 1

2x = 16

x = 16 /2 = 8

C) 4 (x+2) = 32

4x + 8 = 32

4x = 32 - 8

4x = 24

x = 24 / 4 = 6

7 0
2 years ago
Other questions:
  • Write this polynomial in descending order. <br> -7+8x^2-4x
    12·1 answer
  • What measurement do you need to find volume of cylinder, cone, and sphere
    12·1 answer
  • Solve and check.
    11·2 answers
  • Hurry!!!Need help with this question!!!<br> If p(x) = 2x2 – 4x and q(x) = x – 3, what is (p*h)(x)?
    14·1 answer
  • Cuantos lados tiene un cuadrilátero y cuales son?
    13·1 answer
  • Find the slope by changing form Standard Form to Slope Intercept Form<br> 7x- 8y = -56
    11·2 answers
  • What is the expected value for the binomial
    6·1 answer
  • A:90 clockwise<br> B:90 counterclockwise <br> C:180<br> D:270 clockwise <br> E:270 counterclowise
    14·2 answers
  • I need help with this problem!!!!
    10·1 answer
  • Let S be the universal set, where:
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!