Answer:

Step-by-step explanation:
We need to find the distance between the points (5, 2) and (1, 9). In order to do this, we will use something called the distance formula. The distance formula is written as follows:

Now we need to plug in our points which we have given in the form (x, y):

Next, perform the operation of subtraction inside the parentheses to simplify:

The exponent is the next step in the order of operations, so square 4 and -7:

Finally, add 16 to 49:

The square root of 65 cannot be simplified further, but an approximation can be made.
≈ 8.062257748
Answer:
6t+3
Step-by-step explanation:
If t represents the number of tens, then 6t is six times the number of tens. 3 more than that is ...
6t+3
8070, because when it is a positive exponent you have to move the exponent to the right. When it is a negative exponent, you would move it to the left. Hope this helps :)
Here you go!!! Hope this helps
We can let
a = 1/(x-1)
b = 1/(y+2)
and rewrite the equations as
2a - b = 10
a + 3b = -9
Using the first to write an expression for b, we get
b = 2a - 10
Substituting this into the second equation gives
a + 3(2a -10) = -9
7a -30 = -9 . . . . . . . . simplify
7a = 21 . . . . . . . . . . .add 30
a = 3
b = 2·3 - 10 = -4
Now, we can find x and y.
3 = 1/(x -1)
x - 1 = 1/3
x = 1 1/3 = 4/3
-4 = 1/(y +2)
y +2 = -1/4
y = -2 1/4 = -9/4
Then the desired sum is
x + y = 4/3 -9/4 = (16 -27)/12
x + y = -11/12
The appropriate choice is ..
c. -11/12