Answer:
15 yards
Step-by-step explanation:
use pythagoras theorem
a^2 + b^2 = c^2
9^2 + 12 ^2
81 + 144
225
square root
hypoteneuse= 15 yards
Answer:
E
Step-by-step explanation:
57 - 36 = 21 6 - 4 = 2 seconds
21 ÷ 2 = 10.5
Answer: -4
Step-by-step explanation: I am guessing you meant ...99 + 2(8*3)...
3x + 99 + 2(8 x 3) = 135
3x + 99 + 2(24) = 135
3x + 99 +48 = 135
3x + 147 = 135
(3x + 147) - 147 = (135) - 147
3x = -12
(3x) ÷ 3 = (-12) ÷ 3
x = -4
For this case we have the following equation:
r = 9 sin (θ)
In addition, we have the following change of variables:
y = r * sine (θ)
Rewriting the equation we have:
r = 9 sin (θ)
r = 9 (y / r)
r ^ 2 = 9y
On the other hand:
r ^ 2 = x ^ 2 + y ^ 2
Substituting values:
x ^ 2 + y ^ 2 = 9y
Rewriting:
x ^ 2 + y ^ 2 - 9y = 0
Completing squares:
x ^ 2 + y ^ 2 - 9y + (-9/2) ^ 2 = (-9/2) ^ 2
Rewriting:
x ^ 2 + 1/4 (2y-9) ^ 2 = 81/4
4x ^ 2 + (2y-9) ^ 2 = 81
Answer:
The Cartesian equation is:
4x ^ 2 + (2y-9) ^ 2 = 81
3x + y = -3
-2x + y = 7
Use elimination method
Subtract both equations
5x = -10, x = -2
Plug in -2 for x (any equation)
3(-2) + y = -3
-6 + y = -3
y = 3
Solution: x = -2, y = 3
Or as a coordinate: (-2, 3)
