These functions are in the form y=mx+b
Therefore, we know that in g(x) = x+2, the y-intercept is 2.
For f(x) = x-1, the y-intercept is -1.
Now find the difference between them.
2-(-1)= 3
The y-intercept for f(x) is 3 units below g(x)
1/10 as a decimal would be 0.1. Now just add the 8 to it and it would be 8.1.
Answer:
x = 8 y = 8
Step-by-step explanation:
Multiply 2nd equation by -3 to get -6x - 3y = -72
Now 4x + 3y = 56
<u>-6x - 3y = -72</u>
-2x = -16
x = 8
Substitute x = 8 into the 2nd equation
2(8) + y = 24
16 + y = 24
y = 8
Check: Substitute the values into the 1st equation
4(8) + 3(8) = 32 + 24 = 56 So we have the correct values for x and y
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°.
