Answer:d=a2+b2 ∣a(x0)+b(y0)+c∣. So given a line of the form a x + b y + c ax+by+c ax+by+c and a point ( x 0 , y 0 ) , (x_{0},y_{0}), (x0,y0), the perpendicular distance can be found by the above formula.
Step-by-step explanation:
if that is any help
Answer:
The answer to your question is a) C + J + S = 80
b) C = J + 5
c) S = 45 hours
Step-by-step explanation:
a) To represent the number of hours that they work together, just add the variables and equal them to 80.
Carlito + Juan + Sara = 80
C + J + S = 80 Equation l
b) Juan worked 5 hours more than Carlito
Juan = Carlito + 5
J = C + 5 Equation ll
c) Hours worked by Sara
S = 3J Equation lll
C = J - 5
Substitute equation ll and lll in equation l to find J
J - 5 + J + 3J = 80
5J = 80 - 5
5J = 75
J = 75/5
J = 15
-Find S
S = 3(15)
S = 45 hours
Answer:
The general rule for the nth term of this sequence will be:

Step-by-step explanation:
Given the sequence
12a, 15a, 18a, 21a, 24a,...
An arithmetic sequence has a constant difference 'd' and is defined by

Here,
a₁ = 12a
computing the differences of all the adjacent terms
d = 15a-12a = 3a, d = 18a-15a=3a, d=21a-18a=3a, d=24a-21a=3a
using the nth term formula

substituting a₁ = 12a, d = 3a



Therefore, the general rule for the nth term of this sequence will be:

Answer:
Step-by-step explanation:
Not entirely sure about the first one, but I'll try the others:
2- log base 8 (8x) = log base 8 (8) + log base 8 (x) = 1 + log base 8 (x)
3 - log base 3 (5^x) = x log base 3 (5)
4 - log base 2 (5/x) = log base 2 (5) - log base 2 (x) = In 5 - In x
5 - log base 2 (2^x) = x log base 2 (2) = x · 1 = x
Options:
A.
All survey respondents
B.
The proportion of customers who say they are satisfied with their service
C. All customers who use the drive-thru window of this fast food restaurant
D. All customers of this restaurant
Answer:A. All survey respondents
Step-by-step explanation: A population is the total number of people or a particular organism staying in a particular place or from where a sample can be gotten which is to be used for an experiment.
A survey is a research procedure used to obtain data from a pre-determined group of people,this data is about their own view about a given topic of interest in the research.