If <em>h(x)</em> is the inverse of <em>f(x)</em>, then by definition of inverse function, we have
<em>f(h(x))</em> = <em>x</em>
By definition of <em>f(x)</em>, composing <em>f</em> with <em>h</em> gives
<em>f(h(x))</em> = 2 <em>h(x)</em> - 10
Solve for <em>h(x)</em> :
<em>x</em> = 2 <em>h(x)</em> - 10
2 <em>h(x)</em> = <em>x</em> + 10
<em>h(x)</em> = (<em>x</em> + 10)/2
<em>h(x)</em> = <em>x</em>/2 + 5
So... whichever option most closely resembles this is the correct one. It's hard to tell exactly which one that would be.
Using Pythagorean theorem.
16^2 + (RT)^2 = 20^2
256 + (RT)^2 = 400
(RT)^2 = 144
RT = 12
Using altitude theorem to find ST:
16/12= 12/ST
16ST = 144
ST = 9
Using Pythagorean theorem again:
12^2 + 9^2 = SR^2
144 + 81 = SR^2
225 = SR^2
SR= 15
Final answer: SR= 15
Hope this helps!
Basically, they're asking you to find the slope of the given line, as well as finding how far apart each points are from one another, horizontally and vertically.
Remember, horizontal goes this way (------) and vertical goes this way (I)
(I)
(I)
a) Horizontal distance : -2
Vertical distance : 3
b) Slope :
Remember, slope is rise over run.
So, rise = vertical distance, and run = horizontal distance.
So, our slope is : -3/2
~Hope I helped!~
59/23 into a mixed number is 2 13/23
1. False because a rational is a fraction or part of a number (
).
2. True; a real number is any number that isn't imaginary (
)
3. True; same reason
4. True; an integer is any number that can be wrote without a fraction or decimal (the opposite of rational).
5. True;
and that's a decimal.
6. True; the natural number system starts from 0 and counts upwards
7. True; reason above
