Answer:
The answer is -8.772
Step-by-step explanation:
Answer:
14.42inches
Step-by-step explanation:
Given the following
b = 5 in
c = 8in
we are to find the measure of the space diagonal line
Using the pythagoras theoreml
l^2 = b^2 + c^2
l^2 = 13^2 - 5^2
l^2 = 169 -25
l^2 = 144
l = 12in
To get the measure of the space diagonal line in the box, we will use the pythagoras theorem;
s^2 = l^2 + c^2
s^2 = 144 + 8^2
s^2 = 144 + 64
s^2 = 208
s= 14.42inches
Hence the required length ix 14.42inches
1. The answer is B (4, -1)
2. The answer is B (-2, 5)
Answer:
A postulate :)
Step-by-step explanation:
This is because a postulate is a statement that is assumed true without proof, while a theorem is a true statement that can be proven.
Hope this helps!
The standard form for a parabola is (x - h)2 = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p. If the parabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis, it has an equation of (y - k)2 = 4p (x - h), where the focus is (h + p, k) and the directrix (d)
is x = h - p.
So directrix is: y = k - p and the focus is at:
(h, k+p)
Since our focus is: (1, 3) and directrix is: y = 1,
thus h = 1, k+p = 3, and k-p = 1
Therefore k = 3-p, 3-p-p = 1, k = 3-p = 3-1 = 2
3-2p = 1, -2p = -3+1, -2p = -2, p = 1
Now we plug p, k, & h into standard form:
(x - h)2 = 4p (y - k)

y = 1/4 (x-1)^2 + 2