I'll do #6.
The axis of symmetry is the x-coordinate of the vertex, which in this case, is (0,-4). So the axis of symmetry is x=0.
The vertex is in the above answer. Since this is a quadratic function, there are no boundaries, the domain is All Real Numbers.
The range goes up forever <em>from </em><em>the vertex. </em>The vertex is (0,-4), so, the minimum y value is -4. The range is y is greater than or equal to -4, or in interval notation: [-4,infinity]
Hope this helps!
$48 because you have to find the totals for both then subtract
Answer: 84
Step-by-step explanation: 7 Times 12 because each foot is 12 inches
Answer:
16.4 feet.
Step-by-step explanation:
We have been given that the length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle
, is 1.42. We are asked to find the length of the side opposite angle
.
We can represent our given information in an equation as:

Now, we will use arctan to solve for theta as:


Now, we will use sine to solve for opposite side as sine relates opposite side of right triangle with hypotenuse.







Therefore, the opposite side to angle theta is 16.4 feet.