Step-by-step explanation:
the midpoint between 2 points (x1, y1) and (x2, y2) is simply ((x1+x2)/2, (y1+y2)/2).
so,
1.
(9, 7) to (4, -3)
midpoint is ((9+4)/2, (7+ -3)/2) = (13/2, 4/2) = (6.5, 2)
2.
(-7, -5) to (2, 1)
midpoint is ((-7+2)/2, (-5+1)/2) = (-5/2, -4/2) = (-2.5, -2)
3.
now we have the midpoint and need the second point.
(4, 2) over (3, 4) to (x, y)
3 = (4 + x)/2
6 = 4 + x
x = 2
4 = (2 + y)/2
8 = 2 + y
y = 6
4.
(-2, 1) over (-3, 2) to (x, y)
-3 = (-2 + x)/2
-6 = -2 + x
x = -4
2 = (1 + y)/2
4 = 1 + y
y = 3
Answer:
<h2>
y = x² - 1</h2>
Step-by-step explanation:
y = -1 for x = 0 {point(0, -1)} means -1 at the end of formula
If we add 1 to y-coordinate of every given point we get the squares of x-coordinate:
(1, 0): 1² - 1 = 0
(2, 3): 2² - 1 = 4 - 1 = 3
(3, 8): 3² - 1 = 9 - 1 = 8
(4, 15): 4² - 1 = 16 - 1 = 15
So for any x:
(x, y) y = x² - 1
With a uniform electric field, flux go along parallel paths, then flux is therefore proportional to the cosine of the angle rotated.
0 degree rotation => cos(0)=1 => 100% of flux.
60 degrees rotation => cos(60) => 0.5 => how many % of flux?
Answer: A or 1:4
Step-by-step explanation: Since its 16 servings and the recipe is 8, you just multiply everything by 2. Since 1/2 * 2 = 1 and 2 *2 = 4, it would be 1:4
Answer: 1018
Step-by-step explanation:
A = pi x r squared x height
= 3.14 x 6 squared x 9
= 1017.88
= 1018 to nearest whole number
