Suppose the line is y=mx+b
when x=3, y=15, so 15=3m+b
when x=-1, y=-13, so -13=-m+b
solve the system of these two equation, you get m=7, b=-6
so the linear equation is y=7x-6
Two sevenths over two fifths = five over seven mile per hour
The unit rate is 5 over 7 miles per hour
<em><u>Solution:</u></em>
Given that, Suzanna walked two over seven of a mile in two over five of an hour
We have to find the unit rate in miles per hour
Unit rate means number of miles covered in 1 hour
From given information,
Two over seven of a mile in two over five of an hour
Which means,
To find for number of miles covered in 1 hour, divide the 
Two sevenths over two fifths = five over seven mile per hour
Thus unit rate is 5 over 7 miles per hour
Answer:
First, let's recall some usefull information:
- cot(x) = 1/tg(x) = cos(x)/sin(x)
- tan(x) = sin(x)/cos(x)
We also know that:
- cos(x - pi/2) = sin(x)
- sin(x - pi/2) = -cos(x)
Now we can use those relationships and get:
cot(x - pi/2) = cos(x - pi/2)/sin(x -pi/2) = sin(x)/-cos(x) = -tan(x)
So we have verified the identity, and explained step by step why the identity is true.
The answers is d okkkkkkkk
Answer:
74 weeks
Step-by-step explanation:
Given :
Let x = number of weeks
Gallon A:
Capacity = 666
Leak rate = 4 gallons per week
666 - 4x
Gallon B:
Capacity = 888
Leak rate = 7 gallons per week
888 - 7x
666- 4x = 888 - 7x
666 - 888 = - 7x + 4x
-222 = - 3x
x = 222 / 3
x = 74
After 74 weeks
