Answer:
is the last one
Step-by-step explanation:
<span>y" + 9y = 0
m^2 + 9 = 0
m = ± 3i
yH = C1 cos 3t + C2 sin 3t
yP = C3 t sin 3t + C4 t cos 3t
hope this helps </span>
Answer:
y=0.5x
Step-by-step explanation: Plot the points then draw the line to then use the slope formula y=mx+b m is slope which is 1/2 which is 0.5, you can use either, and b is the y-intercept which is (0,0)
Answer:
(- 2, 9 )
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ), thus
(9, - 2 ) → (- 2. 9 )
Assuming the bases are laid out in a square, then we can use the Pythagorean Theorem to find the distance from home plate to second base.
This distance is exactly the length of the hypotenuse of the right triangle that forms when you split the square along the diagonal. Let this distance be x
Each of the legs are 90 ft, so a = 90 and b = 90. The hypotenuse is c = x for now.
a^2 + b^2 = c^2
90^2 + 90^2 = x^2
8100 + 8100 = x^2
16200 = x^2
x^2 = 16200
sqrt(x^2) = sqrt(16200) ... apply the square root to both sides
x = 127.2792206
x = 127.3 .... round to the nearest tenth (one decimal place)
The final answer is 127.3 feet