Answer: 
Step-by-step explanation:
This car follows a line, hence its motion can be modeled by the Line equation.
In fact, we already have two points of the line, if we call
the time in hours and
the traveled distance in miles:
Point 1:
Since we are told the car's initial position is 300 miles in the time 0 h
Point 2:
Since we are told the car's final position is 180 miles after 3h
<u />
<u>Let's find the Slope
:
</u>
This is the slope of the line
Now, the equation of the line is:
We already know the slope, now we have to find the intersection point with the y-axis (
) with any of the given points. Let's choose Point 1:
Isolating
:
Then, the equation of the line is:
Answer:
13.448, rounded off: 13.5 ft
Step-by-step explanation:

Where r = radius, C = circumference.
= 13.5 ft
ANSWER
to the nearest hundredth.
EXPLANATION
We have the equation,

Which can be rewritten as

The question demands the use of the quadratic formula.
Comparing this to the general quadratic equation;


The quadratic formula is given by;

We now substitute all the values in to the formula;

We simplify to obtain;


We now split the plus or minus sign to obtain;

This implies that;

Or

This will evaluate to;

Hence, the positive solution rounded to the nearest hundredth is

Answer:
14/15
Step-by-step explanation:
1. Convert the fractions to have the same denominator
Remember that you can only add fractions with the same denominator
To find the common denominator, find the LCM of 5 and 3 which is 15.
-2/5 * 3/3 = -6/15 and 4/3 * 5/5 = 20/15
-6/15 + 20/15 = 14/15
hope this helps! <3
Answer:
y=-3/7x+2
Step-by-step explanation:
first formula (Slope): y2-y1/x2-x1
-1-2/7-0= -3/7
second formula (point slope): y-y1=m(x-x1)
y-2=-3/7(x-0)
(distribute the -3/7)
y-2=-3/7x-0
(add 2 to both sides)
y=-3/7x+2