P1=(0,0)=(x1,y1)→x1=0, y1=0
P2=(3,-2)=(x2,y2)→x2=3, y2=-2
Slope: m=(y2-y1)/(x2-x1)
m=(-2-0)/(3-0)
m=(-2)/3
m=-2/3
Point-slope equation:
y-y1=m(x-x1)
y-0=(-2/3)(x-0)
y=-(2/3)x
Answer: The equation of the line is: y=-(2/3)x
The equation that is represented by the graph below is y = e^x - 4.
<h3>How to illustrate the graph?</h3>
From the graph, it can be seen that the only exponential function n to hat intercept the function at equal to 3 is y = e^x - 4.
Let's equate y to 0.
y = e^x - 4.
e^x - 4 = 0
e^x = 4
In(e^x) = In(4)
x = 1.386
The x intercept is located at (1.386, 0).
In conclusion, the correct option is D.
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The required simplified value of $10.40 to $13.12 is $2.72.
Given that,
To determine the simplified value of $10.40 to $13.12.
<h3>What is simplification?</h3>
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
In the question, asked about the difference between the numbers
$10.40 to $13.12
= 13.12 - 10.40
= $2.72
Thus, the required simplified value of $10.40 to $13.12 is $2.72.
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Answer:
40 miles
Step-by-step explanation:
In the attached diagram, Point A is the starting point and C is the end point. We want to determine the distance from A to C.
The path driven forms a right triangle in which AC is the hypotenuse.
We therefore use the<u> Pythagorean Theorem</u> to solve for the AC.
Pythagorean Theorem: 

The straight line distance from the starting point is 40 miles.