Answer:
<em>Equation; y = 1 3 / 7x - 5 / 7</em>
Step-by-step explanation:
First consider the slope of this equation we must derive;
Slope Formula = Rise / Run,
y2 - y1 / x2 - x1 ⇒
5 - ( - 5 ) / 4 - ( - 3 ) ⇒
10 / 7 ⇒ Slope : 1 3 / 7
So far we can formulate an equation as such;
y = 1 3 / 7 * x + b, <em>where b ⇒ y - intercept</em>
Given one of the points, substitute into this equation solving for b;
5 = 1 3 / 7 * ( 4 ) + b,
5 = 40 / 7 + b,
b = - 5 / 7
From this we can derive one point - slope from equation to be :
<em>Equation; y = 1 3 / 7x - 5 / 7</em>
.......................:)
All the points that are 6 units from (-1, 1) are those on the circle
(x+1)^2 +(y-1)^2 = 36
For y=0, the two points of interest satisfy
(x+1)^2 +1 = 36
(x+1)^2 = 35 . . . . . . subtract 1
x+1 = ±√35
x = -1±√35
The points you seek are
(-1-√35, 0) and (-1+√35, 0), about (-6.916, 0) and (4.916, 0).
Answer:
The first car was traveling 70 mph, while the second was driving 50 mph.
Step-by-step explanation:
Set the cars as a proportion:

X represents the speed of the second car. By cross multiplying, you get the following equation:

You solve by distributing 150 to get 210x = 150x + 3000.
Solving for x gets you 50.
That means the first car was going at 50 mph. Adding 20, you get 70 as the speed for the second car.
Answer:
The inequality is 
The greatest length of time Jeremy can rent the jet ski is 5 and Jeremy can rent maximum of 135 minutes.
Step-by-step explanation:
Given: Cost of first hour rent of jet ski is $55
Cost of each additional 15 minutes of jet ski is $10
Jeremy can spend no more than $105
Assuming the number of additional 15-minutes increment be "x"
Jeremy´s total spending would be first hour rental fees and additional charges for each 15-minutes of jet ski.
Lets put up an expression for total spending of Jeremy.

We also know that Jeremy can not spend more than $105
∴ Putting up the total spending of Jeremy in an inequality.

Now solving the inequality to find the greatest number of time Jeremy can rent the jet ski,
⇒ 
Subtracting both side by 55
⇒ 
Dividing both side by 10
⇒
∴ 
Therefore, Jeremy can rent for 
Jeremy can rent maximum of 135 minutes.