Pre-algebra builder #23-24 answers
1 answer:
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Answer:
f(x) has a slope of -1 and has a range of all real numbers.
Step-by-step explanation:
A linear function is a continuous function, so that exist a range value for all value of the domain, which corresponds to all real numbers. Regarding the function described above, the y- and x-intercepts are, respectively:
x-Intercept
f(x) has a x-intercept of (-24,0).
y-Intercept
f(x) has a y-intercept of (0, -24).
Lastly, the linear function has a slope of -1.
Answer:
The positive angle less than 360° that is coterminal with -215° has a measure of 145°.
Step-by-step explanation:
From Geometry, we know that angles form a family of coterminal angles as function of number of revolutions done on original angle. We can represent the set of all coterminal angles by means of the following expression:
,
(1)
Where:
- Original angle, in sexagesimal degrees.
- Coterminal angle, in sexagesimal degrees.
- Coterminal angle index, no unit.
If we know that and
, then the coterminal angle that is less than 360° is:
The positive angle less than 360° that is coterminal with -215° has a measure of 145°.