100 points! Help on 9 and 10 I will mark brainliest. Random answer will be reported

Question 9)

It is not possible.

Question 10)

The shortest route (moving only vertically/horizontally) will take .25 miles.

From A(2, 4), we translate two units to the left.

And from A'(0, 4), we translate three units downwards to arrive at A''(0, 1).  

Step-by-step explanation:

Question 9)

We are given the three collinear points A(-2, 3), A'(x, y), and A''(3, 7).

We want to determine (if possible) the values of x and y.

Since the three points are collinear, the slope from any point to another must be equivalent to each other.

So, using the to known points A(-2, 3) and A''(3, 7), we can determine the slope to be:

So, the slope between A and A' should be 4/5. So:

By cross-multiplication, we acquire:

Unfortunately, it is now impossible to determine the values of x and y. Any values of x and y that satisfy the above equation can be the values for A'.

Two examples are given:

Say that x = 0. Then by our equation, y is:

So, a possible point for A' is (0, 4.6).

Now, say that y = 0. Then by our equation, x is:

So, another possible point for A' is (-5.75, 0).

You can substitute any number for x and solve for y or vice versa and you will get a unique point. Hence, we do not have enough information to solve for x and y.

The same result applies if you do the slope between A' and A''.

Question 10)

I'm assuming we can only move horizontally or vertically.

So, from our starting point A(2, 4), we can move two units to the left to arrive at A'(0, 4).

Now, we can move three units downwards to arrive at the post-office at A'' (0, 1).

In total, we moved 2 + 3 = 5 grids. So, we traveled a total of 5(0.05) or 0.25 miles.  

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺