The slope of the given line is ∆y/∆x = (4-6)/(5-1) = -2/4 = -1/2. The slope of the desired (perpendicular) line is the negative reciprocal of this, -1/(-1/2) = 2.
The point-slope form of the equation for a line with slope m through point (h, k) is
... y - k = m(x - h)
For slope 2 and the given point, your equation can be
... y + 6 = 2(x + 2)
The sum of 14 and 16 is 30.30 times 4 is 120.
<span>(<span>14+16</span>)</span><span>(4)
</span><span>=<span><span>(30)</span><span>(4)</span></span></span><span>=
<span>120</span></span>
The expression for the balance (b) in terms of the number of years (t) can be written as
... b = 2000·2^(t/19) . . . . . . the amount grows exponentially, and is is doubled when t=19
Then for t=5, the balance is
... b = 2000·2^(5/19) ≈ 2400
The best choice is ...
... A. $2400
Explanation:
This might not be how you are supposed to do it but,
We can see the two triangles are similar because AA similarity.
We know that the sides are proportional so we can make:
We get,
Because sides can't be negative, x = 2/3
