Hello from MrBillDoesMath!
Answer:
1 - i sqrt(11) , 1 + i sqrt(11)
Discussion:
Translating the Question into mathematical symbols:
x * y = 12 (*)
x + y = 2 (**)
From (**), y = 2 - x. Substitute this value in (*)
x * y = x * (2-x) = 12 =>
2x - x^2 = 12 => add x^2, subtract 2x from both sides
0 = x^2 -2x + 12
Solving using the quadratic formula gives
x = 1 - i sqrt(11)
and
y = 1 + i sqrt(11)
Thank you,
MrB
Answer:
Step-by-step explanation:
This is a question that uses the Pythagorean Theorem.
a = 35 feet
b = x which is the height of the tree.
c = 3*x + 1 so we are trying to find x. Substitute into a b and c
a^2 + b^2 = c^2
35^2 + x^2 = (3x + 1)^2
35^2 + x^2 = 9x^2 + 6x + 1 Subtract x^2 from both sides.
35^2 = 8x^2 + 6x + 1 Subtract 35^2 from both sides.
0 = 8x^2 + 6x + 1 - 35^2
0 = 8x^2 + 6x - 1224
Does this factor?
(x + 12.75)(x - 12)
x - 12 = 0 is the only value that works.
x = 12
The tree is 12 feet high.
Note: I used the quadratic formula to solve this.
Answer:
c
Step-by-step explanation:
