Basically, you have to find the line through (-3, 1) that is perpendicular to the line 6x + y = 9 and then find where the two lines intersect. Dropping a perpendicular from the point to the line is the shortest distance from the point to the line.
6x + y = 9
y = -6x + 9
slope is -6
perpendicular would have slope 1/6
(y - 1) = (1/6) (x + 3)
y - 1 = (1/6) x + (1/2)
multiplying both sides by 6
6y - 6 = x + 3
x - 6y = -9
Where do these two lines intersect?
From above we know given equation is y = -6x + 9
Plugging into other equation
x - 6(-6x + 9) = -9
x + 36x - 54 = -9
37 x = 45
x = 45/37
y = -6(45/37) + 9
y = -270/37 + (333/37)
y = 63/37
point is (45/37, 63/37)
Step-by-step explanation:
hope you can understand
Step-by-step explanation:
Well, Let's find out!
Gloria says,
2(3x+6)-9x=3*4
By using distributive law
6x+12-9x=12
12-3x=12
-3x=12-12
-3x=0
x=0/-3
So she is not correct
Answer:1: no 2: They probably measured the speed and they added up all the points they got and divided it by the total number of points and it ended up with the mean, and average speed for the rider
Step-by-step explanation:
<h3>Answer:</h3>
- 28/100 = 7/25
- 100/28 = 25/7
<h3>Explanation:</h3>
The wording "the ratio of A to B" means A/B.
Here, "the ratio of the weight of silicon to the weight of crust" means ...
... (28 tons)/(100 tons)
Canceling common factors (and common units), this is ...
... 28/100 = 7/25
___
Then "the ratio of the weight of crust to the weight of silicon" means ...
... (100 tons)/(28 tons) = 100/28 = 25/7
