Answer:

Step-by-step explanation:
The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:
--------------------(i)
From the question,
the point is (5, 0, -6)
the plane is x + y + z = 6
Therefore,
a = 5
b = 0
c = -6
m = 1
n = 1
t = 1
r = 6
Substitute these values into equation (i) as follows;




Therefore, the shortest distance from the point to the plane is 
<h2>Greetings!</h2><h3>Firstly, the slope is found by rearranging the formula:</h3>
3y = 4x + 39
y =
+ 
When x is 0, y = 0(x) +
, so the y intercept is 
<h3>Next, the slope is simply the number in front of the x, </h3>
So
can be rearranged to
, so the slope would be
.
<h2>Hope this helps!</h2>
1.27 repeated is the answer
Answer:
peanut butter cookies:8
sugar cookies:2
chocolate chip cookies:5
ratio: 4:1:2.5
Step-by-step explanation:
x=peanut butter cookies
y=sugar cookies
a=chocolate chip cookies
40=2x+3y+3.6a
15=x+y+a
x=a+3
15=(a+3)+y+a
y=12-2a
40=2(a+3)+3(12-2a)+3.6a
a=5
x=8
y=2
41.1 is the answer to this question.