Answer:
NM = 15
Step-by-step explanation:
Given a secant and a tangent from an external point to the circle, then
The square of the measure of the tangent is equal to the product of the secant's external part and the entire secant, that is
(x + 3)² = (x - 3)(x - 3 + 16)
(x + 3)² = (x - 3)(x + 13) ← expand both sides using FOIL
x² + 6x + 9 = x² + 10x - 39 ( subtract x² + 10x from both sides )
- 4x + 9 = - 39 ( subtract 9 from both sides )
- 4x = - 48 ( divide both sides by - 4 )
x = 12
Then
NM = x + 3 = 12 + 3 = 15
Hello there.
<span>How many solutions does the system of equations have y=5x+7 and 3y-15x=18
</span><span>B two
</span>
The discriminant is b^2-4ac
In this equation 9=a, 12=b, 4=c
Plugging into the formula
12^2-4(9)(4)=
144-324 =
-180 is the discriminant
Since the discriminant is a negative number there are no real roots
Step-by-step explanation:
By Law of Indices, a^m * a^n = a^(m+n).
Therefore 8³ * 8⁵ = 8^(3+5) = 8⁸.
