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
svp [43]
2 years ago
5

A caterpillar crawling in a straight line across a coordinate plane starts at point (-3,

Mathematics
1 answer:
Irina18 [472]2 years ago
7 0

9514 1404 393

Answer:

  15

Step-by-step explanation:

In vector form, the equation of point p on the line can be written as ...

  p = (-3, -4) +t(25 -(-3), 38 -(-4)) . . . . . for some scalar t

  p = (-3, -4) +t(28, 42)

  p = (-3, -4) +14t(2, 3)

where t takes on any value between 0 and 1.

If we let t = n/14 for some integer 0 ≤ n ≤ 14, then the coordinates of point p will be integers.

There are 15 values that n can have in the allowed range.

The caterpillar touches 15 points with integer coordinates.

You might be interested in
a rectangle has an area of 320 feet squared. the length is 4 feet longer than the width. find the dimensions.
deff fn [24]

Width of the rectangle is 16 ft and length of the rectangle is 20 ft

<u>Step-by-step explanation:</u>

Step 1:

Given area of the rectangle = 320 ft². Let the width of the rectangle be x, then the length = x + 4. Use the formula for area of a rectangle = (length × width)

320 = x(x + 4)

320 = x² + 4x

x² + 4x - 320 = 0

x = (-b ±√b² - 4ac)/2a = (-4 ±√16 - 4×1×-320)/2

  = (-4±√1296)/2 = (-4 ± 36)/2

  = 32/2, -40/2 = 16, -20 (neglecting the negative value)

∴ Width of the rectangle = 16 ft

∴ Length of the rectangle = 16 + 4 = 20ft

4 0
3 years ago
What is 1/3 divided by 7
ivann1987 [24]

Answer:

1/21

Step-by-step explanation:

1/21 is the fraction form

8 0
2 years ago
Which is the correct algebraic expression for each phrase? 13 times the cost of one ticket *
mash [69]
The correct algebraic expression for this one is 13t

D. 13t
7 0
3 years ago
What is the volume of a sphere with a radius of 9 inches?
lozanna [386]

Answer:

The answer is 972π cubic inches.

5 0
2 years ago
Read 2 more answers
Plss help me with this​
dolphi86 [110]
1. Second one
2. First one
3. Second
4. Second
5. Third
6 0
2 years ago
Other questions:
  • PLEASE HELP FAST!!! WILL GIVE BRAINLIEST!!!! I NEED TO GET THIS CORRECT!!!
    6·1 answer
  • At what value of x does graph of the following function f(x) have a vertical asymptote? F(x)= 1/x+3
    7·1 answer
  • Please answer the question from the attachment.
    10·2 answers
  • Does anyone know the answer? (It's not 0,4)
    9·2 answers
  • A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 2900 seats. The student
    15·2 answers
  • 2
    12·1 answer
  • The difference between 3 times a number x and 2 is 19. What is the value of x? ​
    12·1 answer
  • A bottle contains 30 ounces of grape juice.
    10·2 answers
  • If the sales tax in a town is 5% and Amanda pays $10 in tax on her purchase what was the cost of the item?
    14·1 answer
  • The sum of two numbers is 57. The larger number is three less than four times the smaller number. Find the numbers pls help i am
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!