The number of dimes that Lindsey has can be represented by the algebraic expression 50 - y, where y is the number of quarters.
Lindsey has a total of 50 coins which are either dimes or quarters. Let y represent the number of quarters Lindsey has. That means the total number of coins, 50, is the sum of the number of quarters (y) and the number of dimes (we'll call this x). So, we can write this equality as x + y = 50, where x is the number of dimes. We want an algebraic expression for x, the number of dimes, in terms of y, the number of quarters. From the equation above, we can solve for x: x = 50 - y. Therefore, the number of dimes Lindsey has in terms of the number of quarters is 50 - y.
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Answer:
Step-by-step explanation:
(Tangent Length)^2 = y*(y + 11) You are going to have to use the quadratic formula on this.
Tangent Length = 7
7^2 = y * (y + 11)
49 = y^2 + 11y
0 = y^2 + 11y - 49
a = 1
b = 11
c = - 49
When you solve this quadratic equation you get
x1 = 3.40 which is the answer you go with.
x2 = -14.40 which can't be used. A negative length has no meaning.