The slope of a line that is perpendicular to the line y = 8x + 5 will be -1/8.
<h3>What is the slope of perpendicular lines?</h3>
Suppose that first straight line has slope 's'
Let another straight line be perpendicular to this first line.
Let its slope be 'a'
Then due to them being perpendicular, they have their slopes' multiplication as -1
or
s x a = -1
s = -1/ a
Slope of line y = 8x + 5
s = 8
The slope of a line that is perpendicular to the line y = 8x + 5
8 x a = -1
a = -1/8
Thus, the slope is -1/8.
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A.
Because in mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
Answer:
Year = 1995 and population = 315
Year = 2015 and population = 715
Step-by-step explanation:
It is given that the population of two different villages is modeled by the given equations:
The population of both villages are same after x years after 1980 if
Splitting the middle term, we get
It means, after 15 or 35 years, the population will same.
For x=15, years is 
and population is
For x=35, years is 
and population is
.
Therefore, population are equation in Year = 1995 and population = 315 or Year = 2015 and population = 715.
Answer:
Please check explanations
Step-by-step explanation:
Here, we have three types of equations and three plotted graphs
we have a quadratic equation
an exponential equation
and a linear equation
For a quadratic equation, we usually have a parabola
The first equation is quadratic and as such the first graph that is parabolic belongs to it
For an exponential equation, we usually have a graph that rises or falls before becoming flattened
The second equation represents an exponential equation so the second graph is for it
Lastly, we have a linear equation
A linear equation usually has a straight line graph
Thus, as we can see, the third graph represents the linear equation
