Answer:
24 - X = 10
Step-by-step explanation:
Given that Mai's water bottle had 24 ounces in it. After she drank x ounces of water, there were 10 ounces left, in order to determine the equation that represents this situation, the following reasoning has to be made:
Since the bottle has 24 ounces of liquid, that is its initial content, from which an amount X is subtracted, after which 10 ounces of water remain. That is, 24 - X = 10.
Thus, this equation is solved in the following way:
24 - X = 10
24 = 10 + X
24 - 10 = X
14 = X
Given two points, say points
A and
B, we can use the slope formula to find the slop of the line:

If
A has coordinates of
(w,c) and
B has coordinates of
(y,z), we can find the slope.
![\frac{z-c[tex]y-w= \frac{z-x}{y-w} (x-c)](https://tex.z-dn.net/?f=%20%5Cfrac%7Bz-c%5Btex%5Dy-w%3D%20%5Cfrac%7Bz-x%7D%7By-w%7D%20%28x-c%29)
}{y-w} [/tex]
Now we can say that we can use the point slope form formula:

Now we can substitute
m for the slope, and use any points to plug in

and

.
Hope this helps! :^)
Answer:
B
Step-by-step explanation:
given the first 3 terms of the geometric sequence - 4, 20, - 100
with r =
=
= - 5
the n th term formula ( explicit formula ) is
=

here r = - 5 and
= - 4, hence
= - 4
with n ≥ 1
- x + y = 7
y = x + 7
slope = 1
perpendicular slope = -1
at point (-1, -1),
y = mx + c
-1 = -1 (-1) + c
-1 = 1 + c
c = -1 -1
c = - 2
equation:
y = -x -2
y + x = -2 or - x - y = 2
Answer:
t = 1
Step-by-step explanation:
16 - 2t = 5t + 9
7 = 7t
t = 1