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
Deffense [45]
3 years ago
15

Mack the bug starts at (0,0) at noon and each minute moves one unit right or one unit up. He is trying to get to the point (5,7)

. However, at (2,3) there is a spider that will eat him if he goes through that point. In how many ways can Mack reach (5,7) ?
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0
<span>This is a very nice counting question. Suggestion / Hint: Count how many ways he can get from (0,0) to (5,7) by going through the point (2,3). Then subtract that from ALL POSSIBLE ways he can get from (0,0) to (5,7). Hint for the hint: How many ways he can get from (0,0) to (5,7) by going through the point (2,3)? Well, that's the SUM of how many ways he can get from (0,0) to (2,3) and how many ways he get get from (2,3) to (5,7). Hope this helps! :)</span>
You might be interested in
PLEASE HELP DUE IN AN HOUR NO LINKS PLEASE. ​
Korolek [52]

Answer:

y = 3/2  when x = 15

Step-by-step explanation:

y = k / √1+x  

2 = k / √1+8 = k/3  

k = 6  

y' = 6 / √1+15 = 6/4 = 3/2

5 0
3 years ago
What is the slope of the line that passes through the points (8,-4) and (6,3) in simplest form
Nesterboy [21]

Step-by-step explanation:

Rise of y-value = (-4) - (3) = -7.

Run of x-value = (8) - (6) = 2.

Slope of the line = Rise / Run = (-7) / (2) = -3.5.

5 0
3 years ago
Brainlyst for the best answer thank you!
densk [106]
Answer: B

We all know that area= LxW
The width that is being shown is 8ft. The length is 20ft. Therefore, you multiply 8 x 20 which gives you 160ft squared. Hope this this helps :)
6 0
3 years ago
Linda goes water-skiing one sunny afternoon. After skiing for 15 min, she signals to the driver of the boat to take her back to
trasher [3.6K]
60 = a * (-30)^2
a = 1/15
So y = (1/15)x^2


abc)
The derivative of this function is 2x/15. This is the slope of a tangent at that point.
If Linda lets go at some point along the parabola with coordinates (t, t^2 / 15), then she will travel along a line that was TANGENT to the parabola at that point.
Since that line has slope 2t/15, we can determine equation of line using point-slope formula:
y = m(x-x0) + y0
y = 2t/15 * (x - t) + (1/15)t^2
Plug in the x-coordinate "t" that was given for any point.


d)
We are looking for some x-coordinate "t" of a point on the parabola that holds the tangent line that passes through the dock at point (30, 30).
So, use our equation for a general tangent picked at point (t, t^2 / 15):
y = 2t/15 * (x - t) + (1/15)t^2
And plug in the condition that it must satisfy x=30, y=30.
30 = 2t/15 * (30 - t) + (1/15)t^2
t = 30 ± 2√15 = 8.79 or 51.21
The larger solution does in fact work for a tangent that passes through the dock, but it's not important for us because she would have to travel in reverse to get to the dock from that point.
So the only solution is she needs to let go x = 8.79 m east and y = 5.15 m north of the vertex.
4 0
3 years ago
What is bigger 3.345 or 3.35 or 3.3
Sidana [21]
3.35 is bigger then 3.345
8 0
3 years ago
Other questions:
  • Determine the midpoint given 2<br> points.<br> (6,-10), (10,7)?
    12·2 answers
  • Common factors between 35 and 60
    13·1 answer
  • Round log 58 to the nearest thousandth
    6·2 answers
  • Graphing a line given it’s equation in standard form
    13·1 answer
  • Solve each equation for the specified variable
    6·1 answer
  • Hey!!! So the photo is side ways sorry bout that but I reallyyy need some help
    8·1 answer
  • What is 7(3-k)=-3k+4 solved?
    9·1 answer
  • What type of number can be written as a fraction, where p and q are
    8·1 answer
  • -Cuántos números 2 veras si cuentas de del 10 al 22?​
    14·1 answer
  • If x-2 divides p(x) evenly, which statement must be true?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!