Cos=adjacent/hypotenuse
Cos30=x/20
x=cos30 *20
Sorry I don’t have a calculator right now
The blank is 123 because 32/41=96/123.
your multiplying 32 by 3 to get 96.
That means you have to multiply the bottom by 3 too.
41 multiplied by 3 is 123.
And 123 is the blank.
Answer:
10000
Step-by-step explanation:
5000+100(50)
=10000
By "y = −9x2 − 2x" I assume you meant <span>y = −9x^2 − 2x (the "^" symbol represents exponentiation).
Let's find the first derivative of y with respect to x: dy/dx = -18x - 2. This is equivalent to the slope of the tangent line to the (parabolic) curve. Now let this derivative (slope) = 0 and solve for the critical value: -18x - 2 = 0, or
-18x = 2. Solving for x, x = -2/18, or x = -1/9.
When x = -1/9, y = -9(-1/9)^2 - 2(-1/9). This simplifies to y = -9/9 + 2/9, or
y = -7/9.
The only point at which the tangent to the curve is horiz. is (-1/9,-7/9).</span>
