Answer:
Domain [-4,4]
Range [-2,2]
Step-by-step explanation:
The domain is the x-values of the graph and the range in the y-values. When writing domain and range it should be from least to greatest. So to find the domain find the lowest x-value on the graph and then the highest. Next, do the same for y-values. Finally, either surround each value with parentheses or bracket, the difference is that brackets mean that value is included, while parentheses mean that value is not actually on the graph.
In this case, the lowest x-value is -4 and the highest is 4, both values are included as signified by the closed circles, therefore the domain is [-4,4]. The lowest y value is -2 and the highest is 2, both are included, therefore the range is [-2,2].
Answer:
sqrt(2) =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin 45 = x/2
2 sin 45 =x
2 ( sqrt(2)/2) =x
sqrt(2) =x
Answer:
(x, y) = {(20, 1.3), (40, 2.6), (60, 3.9), (80, 5.2), (100, 6.5)}
Graph C represents the table of values
Step-by-step explanation:
To complete the table, substitute each value of x into the equation, 
, to find each corresponding y-value.
Thus:
✔️When x = 20:
✔️When x = 40:
✔️When x = 60:
✔️When x = 80:
✔️When x = 100:
✔️<em>The graph of that represents this table of values is graph C. See attachment.</em>
Answer: perimeter = 70.54 cm
Step-by-step explanation:
Perimeter of a shape is the distance around it.
Perimeter of the arc of the bigger semicircle is
π × r
= 3.14 × 7 = 21.98 cm
Perimeter of the arc of the smaller semicircle(handle) is
π × r
= 3.14 × 3 = 9.42 cm
Perimeter of the arc of the smallest semicircle(inner part of the handle) is
π × r
= 3.14 × 1 = 3.14 cm
Therefore, the perimeter of the shape would be
21.98 + 9.42 + 3.14 + 7 + 7 + 10 + 10 + 2 = 70.54 cm
