Slope is equal to the change in y over the change in x,<span> or 'rise over run'.
</span><span>m=change in y/change in x
</span>The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise<span>).
</span><span>m=y^2−y^1/x^2−x^1
</span>Substitute in the values of x and y into the equation to find the slope<span>.
</span><span>m= 1/2 −(− 3/2 )/ 3/5 −( 2/10 )
</span><span>Simplify.
</span><span>m=5
The slope is 5</span>
Answer:
y = 4x^2 + 5 has the narrowest graph.
Step-by-step explanation:
The larger the coefficient of x^2 is, the narrower the graph will be. Thus:
y = 4x^2 + 5 has the narrowest graph.
By definition, the ratio is the expression that would allow us to express the quotient of two numbers and/or any mathematical expressions. Let us take for example, numbers 4 and 5. The ratio between these values is 4/5.
The statement given above, "A ratio is a rate" is only sometimes true. This is only true when the unit of measurement of the denominator is in terms of time (seconds, minutes, hours, years, etc) because this would tell us how fast is something being done, consumed, etc. Example, the speed or rate of a car is 4 meters / 5 seconds.
Answer:
Option D is the correct choice.
Step-by-step explanation:
We are provided angle of elevations of two artifacts buried beneath the ground and we are asked to find distance between these two elevations.
We will find distance between these elevations by taking the difference of two.
Since we know that distance is always positive so option A is incorrect.
Therefore, option D is the correct choice and distance between these two elevations is 
.
23 is one of the answers, and -23, because negative times negative is positive.
Hope this helps and have a nice day:)
