Answer:
1 yard of fabric left over
Step-by-step explanation:
So Jackie needs 1 and 1/3 yards of fabric for her pajamas
(4ft fabric/3ft needed in a yard)
And her mom needs 1 and 2/3 yards of fabric
(6ft fabric/3ft needed in a yard)
Now we add the two totals of fabric and subtract from 4 yards
1 2/3 +1 1/3 = 3yards
3yards - 4yards = 1 yard of fabric left over
<span> By tangent function... </span>
<span>tan(x) = 22/53 </span>
<span>x ≈ 23° Hope This Helps</span>
Answer:
Step-by-step explanation:
One of the important things to remember about parabolas is that the vertex is directly in between the focus and the directrix. Our focus is at (4, 0) and the directrix is at (-4, 0), so that means that the vertex (h, k) is at the origin (0, 0). Another important thing to remember is that the distance between either the vertex and the focus or the vertex and the directrix is the p value, the value that tells us how stretched or compressed the parabola is. Another thing to remember is that a parabola will always wrap itself around the focus away from the directrix. So here's what we know then:
Our parabola opens to the right, the equation for that is
,
p = 4, and the vertex is (0, 0). Filling in the formula for the parabola using that info:
which simplifies a bit to
and solving it for x:
1) x= 14 y=37
2)x= 50.5 y=22
hope this is correct
For this case we have the following functions:
By definition we have to:
Substituting:
The range of the function is given by all values of "and" valid. That is, all the real numbers.
ANswer:
(-∞,∞)
Graphic attached