Answer:
The points form a curve
Step-by-step explanation:
Jk the points are in a straight line
Answer:
b.
Step-by-step explanation:
The equation would be: V = A2^(Y/3)
The basic form of an exponential equation is y = ab^x.
The a is the starting amount. In this problem, we don't know that, so we just leave it as a.
The b is the rate. In this case, we are doubling the volume so we times it by 2.
The x is the amount of years. Since it is every 3 years, we can divide the x by 3.
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.