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]
3 years ago
5

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

Mathematics
1 answer:
Irina18 [472]3 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
Can somebody help me on 23 and 24, it’s geometry
Luda [366]

Question 23:

x = 4

DE = 44

Question 24:

x = 25

SE = 28

Step-by-step explanation:

As RS is the perpendicular bisector of DE, it will divide DE in two equal parts DS and SE

<u>Question number 23:</u>

Given

DS = 3x+10

SE = 6x-2

As the two segments are equal:

DS = SE\\3x+10 = 6x-2

Subtracting 10 from both sides

3x+10-10 = 6x-2-10\\3x = 6x-12

subtracting 6x from both sides

3x -6x = 6x-6x-12\\-3x = -12

Dividing both sides by -3

\frac{-3x}{-3} = \frac{-12}{-3}\\x = 4

Now

DS = 3x+10\\= 3(4)+10\\= 12+10\\=22

And

SE = 6x-2\\= 6(4)-2\\= 24 - 2\\=22\\DE = DS+SE\\= 22+22\\=44

<u>Question No 24:</u>

Given

DS = x+3

DE = 56

We know that:

DS = \frac{1}{2}DE\\x+3 = \frac{56}{2}\\x + 3 = 28\\x = 28-3\\x = 25

So

DS = 25+3 = 28

As DS is 28, SE will also be 28

Hence,

Question 23:

x = 4

DE = 44

Question 24:

x = 25

SE = 28

Keywords: Bisector, Line segment

Learn more about line segments at:

  • brainly.com/question/629998
  • brainly.com/question/6208262

#LearnwithBrainly

4 0
3 years ago
PLEASE I NEED HELP ASAP
Annette [7]

The coordinates of the vertex that A maps to after Daniel's reflections are (3, 4) and the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)

<h3>How to determine the coordinates of the vertex that A maps to after the two reflections?</h3>

From the given figure, the coordinate of the vertex A is represented as:

A = (-5, 2)

<u>The coordinates of the vertex that A maps to after Daniel's reflections</u>

The rule of reflection across the line x = -1 is

(x, y) ⇒ (-x - 2, y)

So, we have:

A' = (5 - 2, 2)

Evaluate the difference

A' = (3, 2)

The rule of reflection across the line y = 2 is

(x, y) ⇒ (x, -y + 4)

So, we have:

A'' = (3, -2 + 4)

Evaluate the difference

A'' = (3, 4)

Hence, the coordinates of the vertex that A maps to after Daniel's reflections are (3, 4)

<u>The coordinates of the vertex that A maps to after Zachary's reflections</u>

The rule of reflection across the line y = 2 is

(x, y) ⇒ (x, -y + 4)

So, we have:

A' = (-5, -2 + 4)

Evaluate the difference

A' = (-5, 2)

The rule of reflection across the line x = -1 is

(x, y) ⇒ (-x - 2, y)

So, we have:

A'' = (5 - 2, 2)

Evaluate the difference

A'' = (3, 2)

Hence, the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)

Read more about reflection at:

brainly.com/question/4289712

#SPJ1

8 0
1 year ago
Please help me please.
shtirl [24]

Answer:

The first one is 79

The second one is 26

I hope this helped! :D

Step-by-step explanation:

For the first one you just plug in 23 into x so it would be 3(23) + 10 = x

For the second one you just plug in 88 into g so it would be 88 = 3x + 10

6 0
3 years ago
Whats 1/5 + -4 having trouble
garri49 [273]
1/5+ (-4) is the same as 1/5 - 4
1/5-20/5
-19/5
4 0
3 years ago
Read 2 more answers
What is the value of x in trapezoid ABCD? x=15 x=20 x=45 x=60
zvonat [6]

Answer:

A. <u><em>X = 15</em></u> is the correct answer.

Step-by-step explanation:

It's the only one that really makes sense.

Hope this helped :)

6 0
3 years ago
Read 2 more answers
Other questions:
  • Tom and his bothers caught 100 fish on a weeklong fishing trip. The total weight of the fish was 235 pounds write an expression
    7·1 answer
  • I NEED HELP ... SOMEONE PLEASE HELP ME!!!
    12·1 answer
  • Find 1.5% of 220 please help
    9·1 answer
  • X + 8y &gt; 16 <br> A <br> B <br> C<br> D?
    12·1 answer
  • Which angle measures are correct? Select three options. mAngle2 = 125° mAngle3 = 55° mAngle8= 55° mAngle12 = 100° mAngle14 = 100
    12·1 answer
  • Help Please this is Study Island sorry for camera quality its asking what is the length of the red segment line. The numbers are
    8·1 answer
  • a country's population in 1990 was 242 million, in 1999 it was 244 million. estimate the population in 2013
    7·1 answer
  • (2,?) is on the line y=3/7x+5 find the other half of the coordinate
    9·2 answers
  • Find p and q if 3(p 5// 4 8)-(-2 7//0 2)=2(-5 4//6 q). Please help me solve the matrix​
    9·1 answer
  • I am a 3 digit positive number. The sum of my digits is 18. My middle digit is the product of -2 and -4. My first digit is 3^2.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!