Answer:
see below
Step-by-step explanation:
The first equation is in slope-intercept form, so you can see that the boundary line has a slope of -2 and goes through the point (x, y) = (0, -4). Since the comparison is "<", the line is dashed and shading is below it.
The second equation is that of a vertical boundary line at x=-3. It is solid, because the comparison includes the "equal" case. Shading is to the right of it, where x values are greater than -3.
Answer:
The length of a 180° arc of a unit circle is π ≈ 3.14 units.
Step-by-step explanation:
Use your knowledge of the circumference of a circle (the length full around) and the fact that there are 360° in the central angle of a full circle. The distance around is proportional to the angle, so an arc of measure 180° will have a length equal to
... (180°/360°) × circumference = (1/2)×circumference
For a unit circle, the circumference is 2π (= π×diameter = 2π×radius). Half that length is π units.
Answer:
The line equation is y = 1.5x + 3
Fill the first space with '1.5' and the second with '3'
Step-by-step explanation:
The generic model for a line equation is:
y = ax + b
To find the parameters 'a' and 'b', we can use two points of the graph in the equation.
Using the point (0, 3), we have:
3 = 0*a + b
b = 3
Using the point (-2, 0) and the value of b above, we have:
0 = -2*a + b
2a = 3
a = 1.5
So the line equation is y = 1.5x + 3
