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Softa [21]
3 years ago
12

Gandalf the grey started in the forest of mirkwood at a point pp with coordinates (−2,1)(−2,1) and arrived in the iron hills at

the point qq with coordinates (-1, 6). if he began walking in the direction of the vector v=3i+2jv=3i+2j and changes direction only once, when he turns at a right angle, what are the coordinates of the point where he makes the turn?
Mathematics
1 answer:
AlladinOne [14]3 years ago
8 0
Travel direction 3i + 2j, slope = 2/3.
We have slope and a point (-2,1) this gives us a line equation:
 LINE BEFORE THE TURN, EQUATION: y = (2/3)x + 1

The point of intersection of the two lines:
1) through (-2,1) with slope 2/3 and;
2) through (-1,6) with slope 3/2. 
You might be interested in
What is the point slope and slope intercept form of (2,-6),(4,0)​
fiasKO [112]

Answer:

-6/-2=3   (the answer is 3)

Step-by-step explanation:

Change in y/ Change in x. How you do it: -6-0/2-4=-6/-2=3

Hope this helped :)

3 0
3 years ago
Three numbers between 80 and 100 are prime numbers. What numbers are they? Eight numbers between 31 and 41 are composite numbers
Flura [38]
83, 89, and 97 are three primes between 80 and 100.

The primes between 30 and 50 are 31, 37, 41, 43, and 47, all of which are odd.  All other numbers between 30 and 50 are composite.

To mentally find 2*50*25, you could either first multiply 25 by 2, to get 50*50, which can easily be calculated as 2500, or you could multiply the 50 by 2, for a result of 100*25, which is clearly also 2500.
5 0
3 years ago
4x + 5y = 12 and 3x + 4y = 9.25 . Solve for systems of equations
masha68 [24]

Answer:

y=1

x=7/4

Step-by-step explanation:

4x + 5y = 12

3x + 4y = 9.25

4x + 5y = 12

12x + 16y =37

-12x -15 y =-36

12x + 16y =37

y=1

x=7/4

8 0
3 years ago
Read 2 more answers
How can you represent real world situations using positive nubers, negative nubers, and zero?
Natasha2012 [34]

Answer:Maybe ffor the positive numbers you could use like 1,2,3,4,5,6,7,8, and 9. For the negitive number could be like -1,-2,-3,-4,-5. And zero could  repersent  the middle. Get it or no?

Step-by-step explanation:

6 0
3 years ago
Complete the recursive formula of the geometric sequence 16\,,\,3.2\,,\,0.64\,,\,0.128,...16,3.2,0.64,0.128,
Nastasia [14]

Answer:

a_{n+1}=0.2a_n for all n>0, a_1=16

Step-by-step explanation:

Let \{a_n\}=\{16,3.2,0.64,0.128,\cdots \} be the sequence described.

A geometric sequence has the following property: there exists some r (the ratio of the sequence) such that \frac{a_{n+1}}{a_n}=r forr all n>0.

To find r, note that

\frac{3.2}{16}=\frac{32}{10(16)}=\frac{2}{10}=\frac{1}{5}=0.2

Similarly

\frac{0.64}{3.2}=\frac{64}{10(32)}=\frac{1}{5}=0.2

\frac{0.128}{0.64}=\frac{1}{5}=0.2

Thus a_{n+1}=r a_n=\frac{a_n}{5}=0.2a_n for all n>0, and a_1=16

3 0
3 years ago
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