Answer:
13
Step-by-step explanation:
square root y^2 = square root 169
so
y = 13
<u>Answer:</u>
<u>Explanation</u>
The directrix y=7, is above the y-value of the focus. The parabola must will open downwards.
Such parabola has equation of the form,
where (h,k) is the vertex.
The vertex is the midway from the focus to the directrix
The x-value of the vertex is x=-5 because it is on a vertical line that goes through (-5,-5).
The y-value of the vertex is
The equation of the parabola now becomes
p is the distance from the focus to the vertex which is p=|7-1|=6
Substitute the value of p to get:
We solve for y to get:
<h3>
Answer: 7, 4, 1, -2, -5</h3>
=========================================================
Explanation:
The notation a(1) = 7 means that the first term is 7
The second term would be a(2) and so on.
To get a(2), we plug in n = 2 to find that...
a(n) = a(n-1) - 3
a(2) = a(2-1) - 3
a(2) = a(1) - 3
a(2) = 7 - 3
a(2) = 4
The second term is 4. We find this by subtracting 3 from the first term.
To get the third term, we repeat the same set of steps but now use n = 3
a(n) = a(n-1) - 3
a(3) = a(3-1) - 3
a(3) = a(2) - 3
a(3) = 4 - 3
a(3) = 1
This process is repeated as much as you want to generate as many terms as you want.
In short, you subtract 3 from each term to get the next term. This implies that we have an arithmetic sequence with starting term 7 and common difference -3.
So that's how we end up with the first five terms: 7, 4, 1, -2, -5
Given:
4 cups of milk form a full half gallon container.
1 liquid gallon contains 16 cups.
1/2 gallon * 16 cups/gal = 16 cups / 2 = 8 cups
8 cups - 4 cups = 4 cups left.
There are 4 cups of milk left in the half-gallon container.