First of all, we need to find the slope of the given line, writing it in the
form and reading the
coefficient:

So, the slope is 
If a line with slope
is perpendicular to a line with slope
, the following relationship holds:

So, the slope of our line must satisfy

So, we need the equation of a line with slope 1 and passing through (4,7). Given the slope
and a point
of a given line, its equation is given by

So, if you plug your values, you have

I think the proportion of the numbers from 1-1000 that contains 3 is 261 out of 1000 number and it includes the numbers in 300 place. I hope you are satisfied with my answer and feel free to ask for more if you have clarifications and further questions.
Answer:sheep
Step-by-step explanation:
Answer:
The two step equation that we can use to find michael's age is x = (f-2)/4 where f = 30. So Michael is 7 years old.
Step-by-step explanation:
In order to solve this problem we will attribute variables to the ages of Michael and his father. For his father age we will attribute a variable called "f" and for Michael's age we will attribute a variable called "x". The first information that the problem gives us is that Michael's dad is 30 years of age, so we have:
f = 30
Then the problem states that the age of the father is 2 years "more" than four "times" Michaels age. The "more" implies a sum and the "times" implies a product, so we have:
f = 2 + 4*x
We can now find Michael's age, for that we need to isolate the "x" variable. We have:
f - 2 = 4*x
4*x = f - 2
x = (f-2)/4
x = (30 - 2)/4 = 7 years
The two step equation that we can use to find michael's age is x = (f-2)/4 where f = 30. So Michael is 7 years old.
Answer:
a. 1/6
Step-by-step explanation:find common denominator x/6
to get a denominator of 6 from 1/2, it turns into 3/6
denominator of 6 from 2/3, 4/6
4/6 is 1/6 greater than 3/6