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MrRissso [65]
3 years ago
9

The table below represents a linear function f(x) and the equation represents a function g(x):

Mathematics
1 answer:
gulaghasi [49]3 years ago
3 0
First, lets solve f(x). g(x) is already given. Find the slope of f(x) by doing m = y2-y1/x2-x1. I'm going to use -1,-5 (1) and 0,-1 (2). -1-(-5) = 4 and 0-(-1) = 1. This means that the slope is 4 since 4/1 = 4.
Now find y intercept (b). Since we know that y=4x+b, we can solve this by plugging in an ordered pair. I will use -1,-5. -5 = 4(-1) +b. With this, we see that -5 = -4+b and b = -1 since -5 = -4-1.
Your equation for f(x) is y=4x-1. 
A: The slopes are equal since both of them are 4.
B: g(x) has a greater y intercept since 3 > -1.

 
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3 years ago
Simplify and Evaluate
zalisa [80]
\dfrac{2^{-1} + 5^{-1}}{10^{-1} - 5^{-2}} =

= \dfrac{\frac{1}{2} + \frac{1}{5}}{\frac{1}{10} - \frac{1}{5^2}}

=\dfrac{\frac{1}{2} + \frac{1}{5}}{\frac{1}{10} - \frac{1}{25}}

=\dfrac{\frac{5}{10} + \frac{2}{10}}{\frac{5}{50} - \frac{2}{50}}

=\dfrac{\frac{7}{10}}{\frac{3}{50}}

= \frac{7}{10} \times \frac{50}{3}

= \frac{7}{1} \times \frac{5}{3}

= \frac{35}{3}


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3 years ago
Find the area of a segment formed by a chord 8" long in a circle with radius of 8"
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The pitch of a roof is its slope. The roof of a home rises vertically a distance of 8 ft through a horizontal distance of 15 ft.
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If we discuss this as if it is a triangle then the "rise" is the vertical side and the "run" is the adjacent side.
So the ratio of the rise to the run is 8 / 15 which equals <span> <span> <span> 0.5333333333 </span> </span> </span>
To find the angle of this roof pitch we look up the arc tangent of <span> <span> <span> 0.5333333333  </span> </span> </span> and we find that is 28.072 Degrees

Trigonometry Calculator:
http://www.1728.org/trigcalc.htm




4 0
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