The slope of the line connecting two points (<em>a</em>, <em>b</em>) and (<em>c</em>, <em>d</em>) is
(<em>d</em> - <em>b</em>) / (<em>c</em> - <em>a</em>)
i.e. the change in the <em>y</em>-coordinate divided by the change in the <em>x</em>-coordinate. For a function <em>y</em> = <em>f(x)</em>, this slope is the slope of the secant line connecting the two points (<em>a</em>, <em>f(a)</em> ) and (<em>c</em>, <em>f(c)</em> ), and has a value of
(<em>f(c)</em> - <em>f(a)</em> ) / (<em>c</em> - <em>a</em>)
Here, we have
<em>f(x)</em> = <em>x</em> ²
so that
<em>f</em> (1) = 1² = 1
<em>f</em> (1.01) = 1.01² = 1.0201
Then the slope of the secant line is
(1.0201 - 1) / (1.01 - 1) = 0.0201 / 0.01 = 2.01
Answer:
Option B - 
Step-by-step explanation:
Given : Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5,880,000,000,000 miles.Suppose a star is 14.4 light years from earth.
To find : In scientific notation, how many miles away a star is from earth?
Solution :
One light-year is the distance that light can travel in one year is = 5,880,000,000,000 miles.
In scientific notation,
miles.
In 14.4 lights year the distance is 
In 14.4 lights year the distance is 
or 
Therefore, Option B is correct.
Answer:
35 cm
Step-by-step explanation:
2m = 200cm
200cm-165cm=35cm
Answer:
100 in = 180 out
107 in = 187 out
117 in = 197 out
Step-by-step explanation:
we know that when there was 102 in, there was 185 out. we can also see that when there's 105 in, there was 185 out. the system outputs the input + 80
100 + 80 = 180
107 + 80 = 187
117 + 80 = 197
Answer:
6.5
Step-by-step explanation:
We need to solve out for x , the given Equation is ,
x - 3x + 2 = -11
-2x = -11 -2
-2x = -13
x = -13/-2
x = 6.5